concatenate several arrays
y=cat(dims,A1,A2,...,An)
:dims a positive real scalar. : :A1,A2,..An scalars, vectors, matrices or multi-arrays, or cell
arrays. A1,A2,...,An must have the same size (excluding the dimension number dims). size(A1,i)=size(A2,i)=...=size(An,i) for i different of dims and size(A1,dims), size(A2,dims),...,size(An,dims) can be different.
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y=cat(dims,A1,A2,...,An) : y is the result of the concatenation of the input arguments A1,A2,...,An.
If dims=1, then the concatenation is done according to the rows
A1=[1 2 3 ; 4 5 6]; A2=[7 8 9 ; 10 11 12]; y=cat(1,A1,A2) => y=[1 2 3 ; 4 5 6 ;7 8 9; 10 11 12] .
If dims=2, then the concatenation is done according to the columns of the input arguments
A1=[1 2 3;4 5 6]; A2=[7 8 9 ;10 11 12]; y=cat(2,A1,A2) => y=[1 2 3 7 8 9 ; 4 5 6 10 11 12] .
// first example : concatenation according to the rows
dims=1; A1=[1 2 3]; A2=[4 5 6 ; 7 8 9]; A3=[10 11 12]; y=cat(dims,A1,A2,A3)
// second example : concatenation according to the columns
dims=2; A1=[1 2 3]'; A2=[4 5;7 8;9 10]; y=cat(dims,A1,A2)
// third example : concatenation according to the 3th dimension
dims=3; A1=`matrix`_(1:12,[2,2,3]); A2=[13 14;15 16]; A3=`matrix`_(21:36,[2,2,4]); y=cat(dims,A1,A2,A3)