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Apply Calculator

Apply

Function: apply (<F>, [<x_1>, ..., <x_n>]) Constructs and evaluates an expression <F>(<arg_1>, ..., <arg_n>).

apply does not attempt to distinguish array functions from ordinary functions; when <F> is the name of an array function, apply evaluates <F>(...) (that is, a function call with parentheses instead of square brackets). arrayapply evaluates a function call with square brackets in this case.

Examples:

apply evaluates its arguments. In this example, min is applied to the value of L.

          (%i1) L : [1, 5, -10.2, 4, 3];
          (%o1)                 [1, 5, - 10.2, 4, 3]
          (%i2) apply (min, L);
          (%o2)                        - 10.2

apply evaluates arguments, even if the function <F> quotes them.

          (%i1) F (x) := x / 1729;
                                             x
          (%o1)                     F(x) := ----
                                            1729
          (%i2) fname : F;
          (%o2)                           F
          (%i3) dispfun (F);
                                             x
          (%t3)                     F(x) := ----
                                            1729

          (%o3)                         [%t3]
          (%i4) dispfun (fname);
          fname is not the name of a user function.
           -- an error.  Quitting.  To debug this try debugmode(true);
          (%i5) apply (dispfun, [fname]);
                                             x
          (%t5)                     F(x) := ----
                                            1729

          (%o5)                         [%t5]

apply evaluates the function name <F>. Single quote defeats evaluation. demoivre is the name of a global variable and also a function.

          (%i1) demoivre;
          (%o1)                         false
          (%i2) demoivre (exp (%i * x));
          (%o2)                  %i sin(x) + cos(x)
          (%i3) apply (demoivre, [exp (%i * x)]);
          demoivre evaluates to false
          Improper name or value in functional position.
           -- an error.  Quitting.  To debug this try debugmode(true);
          (%i4) apply (demoivre, [exp (%i * x)]);
          (%o4)                  %i sin(x) + cos(x)

There are also some inexact matches for apply. Try ?? apply to see them.

(%o1)                                true
(%i2) 

Apply Example

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