On Nov 29, 2011, at 7:32 AM, Grant McDonald wrote:


Dear all, I am finding difficulty in the following, I would like to
create an empty matrix e.g. 10x10 of 0s and sequentially fill this
matrix with randomly placed a 1s until it is saturated. Producing 100
matrices of sequentially increasing density., This process needs to be
randomized 1000 times., I assume i should run this along the following
lines, 1) Create 1000 matrices all zeros, 2) add a random 1 to all
matrices, 3) run function on all 1000 matrices and output results to a
vector table (i.e. calculate density of matric at each step for all 100 matrices.
)., 4) add another 1 to the previous 1000 matrices in a
random position., repeat till all matrices saturated., I have looked
through histories on random fill algorithms but all packages I can find
nothing as simple as the random fill I am looking for., sorry for
bothering, Thank you for any help in advance.


Something that starts along the lines of the following? Sorry this example is atrocious.

matrixfill <- function(emptymatrix, K=fullmatrix, time=100, from=0, to=time)

{

N <- numeric(time+1)

N[1] <- emptymatrix

for (i in 1:time) N[i+1] <- N[i]+"place random 1 in a random xy position" until K.
Calculate Density of matrix

Ewww. That looks painful. Consider this as an alternative to create a single such "random matrix":

rmat <- matrix(rbinom(100, 1, prob=0.1), 10,10)

> rmat
      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
 [1,]    0    0    0    0    0    0    0    0    1     0
 [2,]    1    0    0    0    0    0    0    0    0     0
 [3,]    0    0    0    0    1    0    0    0    0     0
 [4,]    1    0    0    0    0    0    0    0    0     0
 [5,]    0    0    0    1    1    0    0    0    0     0
 [6,]    0    0    0    0    0    0    1    0    0     0
 [7,]    0    0    0    0    0    0    0    0    1     0
 [8,]    0    1    0    0    0    0    0    0    0     0
 [9,]    0    0    0    0    0    0    0    0    1     0
[10,]    0    0    0    0    0    1    0    0    0     0


--

David Winsemius, MD
West Hartford, CT

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