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# mstd()

Description:

Calculate the standard deviation on a matrix or a multidimensional matrix.

Syntax:

mstd(A, n)

Note:

An external library function where parameter n is the ordinal number of level on which the summarization is performed. If n is absent, the desired dimension is the first one whose size is not 1 in matrix A.

Parameter:

 A n A matrix or a multidimensional matrix A positive integer

Option:

 @s Perform the calculation using a statistical method, during which the n-1 is the divisor @a Calculate the standard deviation on all elements of matrix A and parameter n is invalid

Return value:

A sequence or a number

Example:

A

1

[[11,12,13],[21,22,23],[31,32,33]] 2

=mstd(A1,1) Calculate standard deviation on the matrix’s first level – that is, calculate standard deviation on members of each column

3

=mstd(A1, 2) Calculate standard deviation on the matrix’s second level – that is, calculate standard deviation on members of each row

4

=mstd(A1) Calculate standard deviation on the first level since parameter n is absent

5

=mstd@a(A1) Calculate standard deviation on all elements of the matrix

6

=mstd@s(A1)

Perform the calculation using the statistical method 7

[[[111,112,113],[121,122,123],[131,132,133]],[[211,212,213],[221,222,223],[231,232,233]]] Define a three-dimension matrix whose two members are 3*3 matrices

8

=mstd(A6, 1) Calculate standard deviation on matrix A6’s first level, that is, perform the calculation on both of its two member matrices in alignment

9

=mstd(A6, 2) Calculate standard deviation on matrix A6’s second level, that is, perform the calculation on each column of each member matrix