Введение в Maple. Молчанова Л.А. - 12 стр.

• signum Ôóíêöèÿ çíàêà(-1 ïðè õ<0,0 ïðè x=0 è +1 ïðè x>0
   Ïðèâåäåì ïðèìåðû ðàáîòû ýòèõ ôóíêöèé, äëÿ êîìïàêòíîñòè âûâîäà
îðãàíèçîâàâ ïîñëåäîâàòåëüíîñòü âûðàæåíèé èç ðåçóëüòàòîâ âû÷èñëåíèé:
> x:=-1.4:round(x);trunc(x);floor(x);ceil(x);
                                    -1,-1,-2,-1
> x:=-1.5:round(x);trunc(x);floor(x);ceil(x);
                                    -2,-1,-2,-1
> x:=1.4:round(x);trunc(x);floor(x);ceil(x);
                                      1,1,1,2
> x:=1.5:round(x);trunc(x);floor(x);ceil(x);
                                      2,1,1,2
> frac(Pi);frac(evalf(Pi));
                                        π -3
                                   0.141592654
   Àðãóìåíòû òðèãîíîìåòðè÷åñêèõ (sin, cos, tan, cot, sec, csc), îáðàòíûõ
òðèãîíîìåòðè÷åñêèõ (arcsin, arccos, arctan, arccot, arcsec, arccsc), ãèïåð-
áîëè÷åñêèõ(sinh, cosh, tanh, coth, sech, csch), îáðàòíûõ ãèïåðáîëè÷åñêèõ
(arcsinh, arccosh, arctanh, arccoth, arcsech, arccsch) ôóíêöèé äîëæíû áûòü
çàäàíû â ðàäèàíàõ.
   Ïðèâåäåì ïðèìåðû ðàáîòû íåêîòîðûõ èç ýòèõ ôóíêöèé:
> Digits:=7:a:=15*0.01745329;
                                 a := 0.2617994
> sec(a)=sqrt(1+(tan(a))^2);
                             1.035276 = 1.035276
> (csc(a))^2-(cot(a))^2=1;
                                   1.00000 = 1
> Digits:=3:
> sin(I*a)=I*sinh(a);(sinh(a))^2=(cosh(2*a)-1)/2.;
                                0.265 I = 0.265 I
                                 0.0702 = 0.070
> Digits:=5:
> arcsin(a)=arctan(a/sqrt(1-a^2));
                               0.26489 = 0.26489
> arctanh(a)=ln((a+1)/(1-a))*0.5;
                               0.26804 = 0.26804
   Ôóíêöèè äëÿ ðàáîòû ñî ñòðîêîâûìè äàííûìè
      Ñòðîêîâûå äàííûå - ýòî ñîâîêóïíîñòü ëþáûõ ñèìâîëîâ â îáðàòíûõ
àïîñòðîôàõ (`).
   Äëÿ èíòåðàêòèâíîãî ââîäà ñòðîê ìîæíî èñïîëüçîâàòü ôóíêöèþ
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