Komputeralgebrai algoritmusok
J\303\241rai Antal
Ezek a programok csak szeml\303\251ltet\303\251sre szolg\303\241lnak.
1. T\303\266rt\303\251net
3. Norm\303\241l form\303\241k, reprezent\303\241ci\303\263
5. K\303\255nai marad\303\251kol\303\241s
6. Newton-iter\303\241ci\303\263, Hensel-felemel\303\251s
7. Legnagyobb k\303\266z\303\266s oszt\303\263
8. Faktoriz\303\241l\303\241s
10. Gr\303\266bner-b\303\241zisok
11. Racion\303\241lis t\303\266rtf\303\274ggv\303\251nyek integr\303\241l\303\241sa
12. A Risch-algoritmus.
restart;
(x*(x+1)*((x^2*exp(2*x^2)-(log(x+1))^2)^2+2*x*exp(3*x^2)*(x-(2*x^3+2*x^2+x+1)*log(x+1))))/((x+1)*(log(x+1))^2-(x^3+x^2)*exp(2*x^2))^2;
int(%,x);
int(1/(1+exp(x)),x); simplify(%,symbolic);
int(x/(1+exp(x)),x);
int(1/(1+x^2),x); convert(%,ln);
int(cos(x),x); convert(%,exp);
int(1/sqrt(1-x^2),x); convert(%,ln);
int(arccosh(x),x); convert(arccosh(x),ln); int(%,x);
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