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SciMax Toolbox >> create_list

create_list

Maxima Function

Calling Sequence

create_list (form, x_1, list_1, ..., x_n, list_n)

Description

Create a list by evaluating form with x_1 bound to each element of list_1, and for each such binding bind x_2 to each element of list_2, .... The number of elements in the result will be the product of the number of elements in each list. Each variable x_i must actually be a symbol -- it will not be evaluated. The list arguments will be evaluated once at the beginning of the iteration.

(%i1) create_list(x^i,i,[1,3,7]);
                 3   7
(%o1)       [x, x , x ]

With a double iteration:

(%i1) create_list([i,j],i,[a,b],j,[e,f,h]);
(%o1) [[a, e], [a, f], [a, h], [b, e], [b, f], [b, h]]

Instead of list_i two args may be supplied each of which should evaluate to a number. These will be the inclusive lower and upper bounds for the iteration.

(%i1) create_list([i,j],i,[1,2,3],j,1,i);
(%o1) [[1, 1], [2, 1], [2, 2], [3, 1], [3, 2], [3, 3]]

Note that the limits or list for the j variable can depend on the current value of i.

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