~MAPLE~
Maple is a symbolic and numeric computing environment, and is also a multi-paradigm programming language.
Developed by Maplesoft, Maple also covers other aspects of technical computing, including visualization, data analysis, matrix computation, and connectivity.
A toolbox, MapleSim, adds functionality for multidomain physical modeling and code generation.
Examples of Maple code
myfac := proc(n::nonnegint)
local out, i;
out := 1;
for i from 2 to n do
out := out * i
end do;
out
end proc;
Determinant
Compute the determinant of a matrix.
M:= Matrix([[1,2,3], [a,b,c], [x,y,z]]); # example Matrix
LinearAlgebra:-Determinant(M);
Series expansion
series(tanh(x),x=0,15)
Solve equation numerically[edit]
High order polynomial equation
f := x^53-88*x^5-3*x-5 = 0
fsolve(f)
-1.097486315, -.5226535640, 1.099074017
Solve equation set[edit]
f := (cos(x+y))^2 + exp(x)*y+cot(x-y)+cosh(z+x) = 0:
g := x^5 - 8*y = 2:
h := x+3*y-77*z=55;
fsolve( {f,g,h} );
{x = -1.543352313, y = -1.344549481, z = -.7867142955}
Plotting of function of single variable[edit]
- Plot
with
ranging from -10 to 10
plot(x*sin(x),x=-10..10);
Plotting of function of two variables[edit]
- Plot
with
ranging from -1 to 1
plot3d(2-x-(y^2-x^2)^0.5), x=0..1, y=0..1);
Animation of functions[edit]
- animation of function of two variables
plots:-animate(subs(k = .5, f), x=-30..30, t=-10..10, numpoints=200, frames=50, color=red, thickness=3);
- animation of functions of three variables
plots:-animate3d(cos(t*x)*sin(3*t*y), x=-Pi..Pi, y=-Pi..Pi, t=1..2);
- Fly-through animation of 3-D plots.[12]
M := Matrix([[400,400,200], [100,100,-400], [1,1,1]], datatype=float[8]): plot3d(1, x=0..2*Pi, y=0..Pi, axes=none, coords=spherical, viewpoint=[path=M]);
