Elementare Operationen

> restart:

> 2+3;

> 2 3; # * is missing

Error, unexpected number

> 2*3;

> 2^3;

> 1/2;

> 1/2+1/3;

> sqrt(2);

> evalf( sqrt(2) );

> evalf( sqrt(2), 60);

symbolic calculcation, exact resulat

> sqrt(2) * sqrt(8) - 4;

numeric calculation

> evalf(sqrt(2))*evalf(sqrt(8))-4;

Präzision

> Digits; # default is 10

> Digits:=50;

> evalf(sqrt(2))*evalf(sqrt(8))-4;

> Digits:=10: # back to default

> 100!;

> evalf(100!,5);

>

> evalf(100!,20);

> lg2:=log[2](256);

> evalf(lg2); # numeric

> simplify(lg2); # symbolic

> sq2:=evalf(sqrt(2));

> evalf(1/sq2^2,50); # 40 digits are rubbish !

Zeichenketten (Strings)

> str1:="Maple hat Strings.";

> convert(str1,symbol);

> convert("abc",list);

> cat(%[]);

> convert("abc",'bytes');

> convert(%,'bytes');

> str1[7..9];str1[-8..-2];

>

> searchtext("stri",str1);

> SearchText("stri",str1);

> sort(["Eva","Adam","Abel","Kain","Noah","Lot","Moses"],(x,y)->is(x>y));

>

>

Komplexe Zahlen, Matrizen, elementare Statistik

Komplexe Zahlen

> -20 * I + 200 * I / (20 + 10 * I);

> abs(4-12*I); evalf(%);

Lineare Algebra

> mat1:=<< 1| 2| 3>,< 7|11|-3>>;

> mat2:=<<0,-3,5>|<7,17,-1>>;

> mat3:=mat1 . mat2;

> 3*mat1;

> mat4:= mat2 . mat1 + <<1,0,0>|<0,1,0>|<0,0,1>>;

> mat4^3;

> mat4^(-1);

> with(LinearAlgebra):

> Determinant(mat4);

Statistik

> with(stats): with(describe):

> data:=[ 10.2, 9.9, 10, 9.95, 10, 10.1, 10.4, 9.3, 9.85, 10.05, 10.1 ];

> mean(data);

> variance(data);

> sqrt(%);