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The Maxima on-line user's manual

Algebra Calculator

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Distribute_over Calculator

Distribute_over

-- Option variable: distribute_over Default value: true

distribute_over controls the mapping of functions over bags like lists, matrices, and equations. At this time this feature is implemented for the trigonometric functions, the exponential integrals, and the integer functions like mod, floor, ceiling, round.

The mapping of functions is switched off, when setting distribute_over to the value false.

Examples:

The sin function maps over a list:

          (%i1) sin([x,1,1.0]);
          (%o1)                 [sin(x), sin(1), .8414709848078965]

mod is a function with two arguments which maps over lists. Mapping over nested lists is possible too:

          (%i2) mod([x,11,2*a],10);
          (%o2)                    [mod(x, 10), 1, 2 mod(a, 5)]
          (%i3) mod([[x,y,z],11,2*a],10);
          (%o3)       [[mod(x, 10), mod(y, 10), mod(z, 10)], 1, 2 mod(a, 5)]

Mapping of the floor function over a matrix and an equation:

          (%i4) floor(matrix([a,b],[c,d]));
                                      [ floor(a)  floor(b) ]
          (%o4)                       [                    ]
                                      [ floor(c)  floor(d) ]
          (%i5) floor(a=b);
          (%o5)                         floor(a) = floor(b)

Functions with more than one argument map over any of the arguments or all arguments:

          (%i6) expintegral_e([1,2],[x,y]);
          (%o6) [[expintegral_e(1, x), expintegral_e(1, y)],
                 [expintegral_e(2, x), expintegral_e(2, y)]]

(%o1)                                true
(%i2) 

Distribute_over Example

Related Examples

distribute_over

? distribute_over;

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distribute_over

? distribute_over;

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