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The Maxima on-line user's manual

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Apply Calculator

Apply

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

foo (n) := 2 ^ n - 1 ;
fac = factor (foo (x));
apply (fac, [2, 3 , 4, 5, 6, 7, 8, 9,10 ]);

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

Related Examples

apply-charfun-diff-ev-gradef-newline-plot2d-print
plot2d([f,df],[x,-2,3],[x,-2,3],[y,-1,5],[style, [lines,4,5],[lines,2,2]]);

gradef(charfun(dummy)...

/* piecewise function...

/* intervals */fi: ...

Calculate

apply-nary-xthru

""/* SERIENSCHALTUNG */;

"~~"([x]):=xthru(appl...

nary("~~",110);

Calculate

apply-min-transpose

solnum : [[1,4,7],[2,...

solnum : apply(matrix...

solnum : transpose (s...

Calculate

apply-at-block-cons-flatten-if-listp-piece

map_f_at(ll,x,f):=blo...

map_f_at([2,3,4,[5,6,...

map_f_at([2,3,4,[5,6,...

Calculate

apply-load-sqrt

load(vect);

modulo(v):=sqrt(apply...

u:[-4,10,9,-15];

Calculate

apply-buildq-gamma-lambda-map-pi

f: lambda ([x], x^2);

f(a);

lambda ([x], x^2) (a);

Calculate

apply-determinant-eigenvectors-makelist-ratsimp-sin

H(x,y) := sin(%pi*(2*...

A: apply('matrix,make...

determinant(A), ratsimp;

Calculate

apply-solve

fd(x):=x^2-5*x+6;

fn(x):= 2*x+1;

gn(x):= x^2-2*x-3;

Calculate