Struggling is good
Solutions may not be immediate
It can take time to figure out
April 18, 2018
Struggling is good
Solutions may not be immediate
It can take time to figure out
“As we discussed in class, the initial condition is not very important, since the long time behavior is an attractor. The result will be the same as long as
x_ini
is strictly between 0 and 1. For this exercise you can usex_ini=0.5
.”
Just remember that
“Your first mission is to build a vector
a_values
with numbers from 2.9 to 4 incrementing by 0.001.”
a_values <- seq(from=2.9, to=4, by=0.001)
Then you have to draw an “empty” plot with horizontal axis from 2.9 to 4, and vertical axis from 0 to 1. You can plot anything or use the
xlim=
andylim=
options, but make sure that the plot area is clean. For example you can use the optiontype="n"
.
plot(0, xlim=c(2.9, 4), ylim=c(0, 1), type="n")
It can also be
plot(x=c(2.9, 4), y=c(0, 1), type="n")
Now, for each value of
a_values
you have to simulatequad_map()
for 1500 steps. The first 1000 steps are transient. You have to draw the last 500 steps in the same plot. Since there are many points, usepch="."
.
Some people tried this
y <- quad_map(N=1500, x_ini=0.5, A=a_values)
Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length Warning in x[i] <- A * x[i - 1] * (1 - x[i - 1]): number of items to replace is not a multiple of replacement length
plot(x=a_values, y)
Error in xy.coords(x, y, xlabel, ylabel, log): 'x' and 'y' lengths differ
In R many functions accepts vectors instead of numbers. For example
sqrt(2:6)
[1] 1.414214 1.732051 2.000000 2.236068 2.449490
But this is not always true. In our case
x[i] <- A * x[i-1] * (1 - x[i-1])
We see that x[i]
is a single number (why?) thus A
has to be a single number too
for()
plot(x=c(2.9, 4), y=c(0, 1), type="n")
for(i in 1:length(a_values)) { y <- quad_map(N=1500, x_ini=a_values[i], A=2.9) points(x=a_values[i], y=y[1001:1500], pch=".") }
Error in xy.coords(x, y): 'x' and 'y' lengths differ
Now things got interesting
x
and y
must be the same sizeThe vector y[1001:1500]
has 500 elements. We can check with this
length(y[1001:1500])
[1] 500
It is easy to see that a_values[i]
is a single number, because of []
length(a_values[i])
[1] 1
x
and y
the same sizeIn this plot we want to see all the last 500 values of y
in the same column
So we need to repeat a_values[i]
500 times, like
points(x=rep(a_values[i], 500), y=y[1001:1500])
plot(x=c(2.9, 4), y=c(0, 1), type="n") for(i in 1:length(a_values)) { y <- quad_map(N=1500, x_ini=a_values[i], A=2.9) points(x=rep(a_values[i], 500), y=y[1001:1500], pch=".") }
Why the plot is empty?
Remember that x_ini=0.5
constant. We have to use different values for A
, not for x_init
Here we change only rate
plot(x=c(2.9, 4), y=c(0, 1), type="n") for(i in 1:length(a_values)) { y <- quad_map(N=1500, x_ini=0.5, A=a_values[i]) points(x=rep(a_values[i], 500), y=y[1001:1500], pch=".") }
There are some answers like this
ans <- data.frame(V1=quad_map(N=1500, x_ini=0.5, A=2.9)) for(i in 2:length(a_values)) { ans[[i]] <- quad_map(N=1500, x_ini=0.5, A=a_values[i]) } for(i in 1:length(a_values)) { points(x=rep(a_values[i],500), y=ans[1001:1500,i]) }
But we do not use ans
again. We do not need to use it
i
In this case we can use the for()
loop directly on a_values
plot(x=c(2.9, 4), y=c(0, 1), type="n") for(a in a_values) { y <- quad_map(N=1500, x_ini=0.5, A=a) points(x=rep(a,500), y=y[1001:1500], pch=".") }
Remember that for(i in 1:10)
loops over the vector 1:10
We can use any vector instead
This can be something confusing
To simulate experiments in the computer, we have to choose “real” probabilities
But we don’t know the real real probabilities
Why we do this on the computer?
In the computer we have to make an hypothesis about the probabilities
Then we can see the consequences of this hypothesis
If the simulated results do not match reality, then we know that the hypothesis is wrong
We saw the case of two dice. What is the sum 🎲 +🎲 ?
dice <- function() { return( sample.int(6, size=1, replace=TRUE ) ) } freq <- table(replicate(1000, dice() + dice()))/2000
result <- data.frame(d1=replicate(1000, dice()), d2=replicate(1000, dice())) result$sum <- result$d1 + result$d2 freq <- table(result$sum)/nrow(result) freq*100 # Show as a percentage
2 3 4 5 6 7 8 9 10 11 12 3.6 5.8 6.2 10.8 14.7 15.5 14.7 10.8 8.0 6.8 3.1
In this case some outcomes have bigger proportions
We can use sample(..., size=1000, replace=TRUE)
instead of replicate
dice <- function(size=1) { return(sample.int(6, size, replace=TRUE)) } result <- data.frame(d1=dice(1000), d2=dice(1000)) result$sum <- result$d1 + result$d2 freq1 <- table(result$sum)/nrow(result)
Both simulations give similar results
We do not know the complete population
We do not know what will be the next result
We do know that outcomes may have different proportions
The proportion of each outcome is a vector
We want to know the distribution for the sum of two dice
There are two ways of doing this
We simulate a lot of times and we average the empirical probabilities
We use mathematics
In both cases the result is c(0,1,2,3,4,5,6,5,4,3,2,1)/36
Instead of simulating two dice, we can tell to sample
what are the proportions we want
sum_two_dice <- function() { return(sample.int(12, size=1, replace=TRUE, prob=c(0,1,2,3,4,5,6,5,4,3,2,1)/36 )) } freq2 <- table(replicate(1000, sum_two_dice()))/1000
dice()+dice()
freq2*100 # show as percentage
2 3 4 5 6 7 8 9 10 11 12 3.3 5.4 7.3 11.0 14.6 17.2 13.4 11.5 8.2 5.3 2.8
barplot(freq2)
We know that GC content is different on each organisms
If GC content is 60% then G and C got 30% each
If we simulate the DNA of this organism we have to use
prob=c(a=0.2, c=0.3, g=0.3, t=0.2)
Worldwide proportion is 1%. And world is a population
Thus, probability for one person is c(Yes=0.01, No=0.99)
epilepsy <- function(size) { return( sample(c("Yes","No"), size=size, replace = TRUE, prob = c(0.01, 0.99) ) ) }
epilepsy(97)
[1] "No" "No" "No" "No" "No" "No" "No" "No" [9] "No" "No" "No" "No" "No" "No" "No" "No" [17] "No" "No" "No" "No" "No" "No" "No" "No" [25] "No" "No" "No" "No" "No" "No" "No" "No" [33] "No" "No" "No" "No" "No" "No" "No" "No" [41] "No" "No" "No" "No" "No" "No" "No" "No" [49] "No" "No" "No" "No" "No" "No" "No" "No" [57] "No" "No" "No" "No" "No" "No" "No" "No" [65] "No" "No" "No" "No" "Yes" "No" "No" "No" [73] "No" "No" "No" "No" "No" "No" "No" "No" [81] "No" "No" "No" "No" "No" "No" "No" "No" [89] "No" "No" "No" "No" "No" "No" "No" "No" [97] "No"
Let’s sample 1000 groups of size 97
courses <- replicate(1000, epilepsy(97)) dim(courses)
[1] 97 1000
Here courses
is a matrix, not a data frame
We have to use [row, col]
, not [[column]]
We got a lot of data, but very little information
We did not learn anything from the 97000 words
Fortunately, we did “Computing in Molecular Biology 1” and we know how to extract information from the raw data
we need a function that
courses
, andHow do we do that?
[1] 1 0 0 0 1 1 0 2 1 1 0 0 1 1 1 1 3 1 2 0 2 1 2 1 0 1 0 0 1 3 2 2 0 0 1 1 0 1 0 1 0 1 [43] 0 5 3 1 3 0 3 0 0 3 0 0 2 0 1 0 3 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 3 1 1 2 1 2 0 1 1 1 [85] 3 0 0 0 2 2 1 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 2 1 0 0 3 0 0 2 1 1 0 0 2 1 3 0 1 3 0 0 [127] 3 1 0 2 2 2 1 2 0 0 2 0 0 0 2 2 0 4 1 3 1 2 1 1 3 0 1 1 0 1 2 0 0 2 2 1 2 0 2 0 1 0 [169] 0 1 1 1 1 0 1 2 2 0 1 1 0 2 2 0 1 1 4 0 0 1 1 1 1 3 1 0 2 0 0 1 1 0 0 0 1 3 2 0 0 1 [211] 0 1 1 0 1 2 0 3 0 0 0 2 1 2 0 2 0 1 3 0 0 1 2 3 0 2 0 0 1 1 1 0 2 0 0 0 0 1 1 1 2 0 [253] 0 3 2 1 1 0 2 2 3 2 2 2 5 1 1 1 0 1 2 2 1 0 1 1 3 1 0 2 1 2 1 1 1 1 1 2 3 0 2 2 0 0 [295] 1 0 1 2 1 3 0 1 0 1 2 0 1 1 0 0 1 2 1 0 2 0 1 0 0 3 3 0 4 0 0 1 1 2 0 0 0 0 1 1 1 2 [337] 0 1 1 2 0 0 0 0 0 0 0 2 1 0 2 0 1 0 0 1 2 0 0 1 2 1 1 1 1 0 1 0 0 2 0 1 1 1 0 1 0 2 [379] 1 3 1 1 1 0 0 1 3 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 2 0 0 3 0 0 2 0 1 1 0 2 0 0 [421] 2 0 0 2 1 1 0 1 2 1 2 2 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 3 0 3 0 2 1 1 2 2 [463] 0 1 1 0 1 1 1 0 0 0 3 1 1 3 3 1 1 3 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 2 1 0 1 0 2 2 0 3 [505] 1 3 2 2 1 1 4 1 1 1 5 0 1 1 1 0 3 1 1 2 1 0 0 0 0 2 0 0 1 0 1 0 1 1 0 0 1 0 2 1 0 1 [547] 1 2 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 2 2 1 1 0 1 1 0 2 2 2 1 0 0 1 1 2 1 0 1 1 0 [589] 2 1 1 1 1 1 2 2 1 0 1 1 2 1 0 2 1 2 1 0 1 0 0 0 0 1 1 0 4 3 0 2 1 0 1 0 0 3 0 0 0 2 [631] 0 0 0 4 1 2 1 1 0 0 0 0 0 0 1 0 1 1 2 2 2 0 0 0 1 1 1 1 2 1 0 2 0 3 0 1 0 0 1 0 1 1 [673] 1 0 1 1 0 1 1 0 0 1 4 2 3 1 2 1 0 0 0 1 2 1 0 0 1 2 1 1 0 0 2 0 0 0 0 2 2 0 1 0 0 2 [715] 2 2 0 2 0 1 1 0 2 1 0 2 3 1 0 2 2 2 0 1 0 1 1 1 1 0 1 2 1 2 3 1 1 1 2 0 1 1 1 1 1 0 [757] 0 0 2 1 1 1 1 2 2 1 1 2 0 1 2 0 2 2 1 1 0 2 0 0 1 0 0 0 2 2 1 2 0 0 0 2 0 2 0 2 1 2 [799] 1 0 1 0 1 1 0 0 3 1 1 3 1 1 0 0 1 2 1 1 1 2 1 2 0 0 0 0 0 0 3 2 1 1 0 1 0 1 1 0 0 2 [841] 1 0 1 1 1 3 2 0 0 1 2 2 1 1 0 2 1 2 0 0 1 1 0 1 0 1 0 3 0 1 1 0 2 1 0 3 2 2 0 2 0 0 [883] 0 1 0 1 1 1 0 0 2 0 0 2 0 1 1 0 0 0 1 0 0 1 2 0 1 2 2 0 0 0 0 0 0 2 1 2 0 0 0 1 0 1 [925] 1 1 1 1 0 0 0 0 0 1 0 2 1 3 2 2 0 0 2 0 1 1 2 1 5 1 0 0 3 0 0 2 1 2 0 1 2 1 2 2 1 1 [967] 0 0 2 1 0 1 1 1 1 2 0 1 0 0 1 1 1 2 1 0 0 1 1 2 0 2 0 1 1 1 2 0 2 0
Let’s make a table
cases 0 1 2 3 4 5 380 377 179 53 7 4
Each simulation is a random sample
So each time we get some different
How much different can results be?
If they change every time, are they useful?