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ev-eval-is-subst

Strecke:40;

Zeit:20;

ans1=s*t;

Calculate

ev-kill-plot2d-plot3d
plot3d(fz, [N,0,200],[P,0,200],[z,-10,4500],[box],[color, black]);

kill(all);

fz:a+b*N+c*N^2+d*P+e*...

a:500;

Calculate

ev-gamma-numer

ev(gamma(3/2),numer);

Calculate

ev-floor-if-makelist-map-solve

g1:m+f+k=100;

g2:3*m+2*f+1/2*k=100;

l:solve([g1,g2],[m,f,...

Calculate

ev-integrate-rhs-taylor

f(y)=taylor( (1+y)^(1...

S(L)=5*(3)^(1/2)*inte...

sol: ev(rhs(%));

Calculate

ev-linsolve

jednacine:[x+y=30, 2*...

resenje:linsolve(jedn...

z:x*y;

Calculate

ev-simp-subst

a: ev(((x^4)^(1/3)),s...

b: ev(x*(x^2)^(1/5),s...

ta: ev((a/b)^3,simp);

Calculate

ev

ev(3*a*(1+b)*(a^2+2)/...

Calculate

ev-solve

eq1: Eq=V-(1-tau)*C/r...

eq2: Vb =((1-tau)*C/r...

eq3: Eq=V-(1-tau)*(C/...

Calculate

ev

eq1:x*2-x^3-ln(x+1);

ev(eq1,x=2);

Calculate

ev

Run Example
(%i1)M:120;
(%o1)                                 120
(%i2) alpha:15;
(%o2)                                 15
(%i3) g:9.81;
(%o3)                          9.810000000000001
(%i4) R:7;
(%o4)                                  7
(%i5) V:20/3.6;
(%o5)                          5.555555555555555
(%i6) Mom:ev(sin(alpha*%pi/180)*M*g*R*25.4/2000,numer);
(%o6)                          27.08621023263771
(%i7) Speed:ev(V/(R*25.4e-3),numer);
(%o7)                          31.24609423822022
(%i8) 
Run Example
funktion(x,y) := (x^3-9*x)/(1+y^2);
                                             3
                                            x  - 9 x
(%o1)                     funktion(x, y) := --------
                                                  2
                                             1 + y
(%i2) fx : diff(funktion(x,y),x);
                                      2
                                   3 x  - 9
(%o2)                              --------
                                     2
                                    y  + 1
(%i3) fy : diff(funktion(x,y),y);
                                     3
                                 2 (x  - 9 x) y
(%o3)                          - --------------
                                     2     2
                                   (y  + 1)
(%i4) fxx : diff(diff(funktion(x,y),x),x);
                                     6 x
(%o4)                               ------
                                     2
                                    y  + 1
(%i5) fyy : diff(diff(funktion(x,y),y),y);
                            3         2       3
                        8 (x  - 9 x) y    2 (x  - 9 x)
(%o5)                   --------------- - ------------
                             2     3         2     2
                           (y  + 1)        (y  + 1)
(%i6) a11 : ev(fxx, x=sqrt(3), y=0);
                                       3/2
(%o6)                               2 3
(%i7) a22 : ev(fyy, x=sqrt(3), y=0);
                                     3/2    5/2
(%o7)                          - 2 (3    - 3   )
(%i8) 
Run Example
eq:x^8-x^7+x^5-x^4+x^3-x+1;
                         8    7    5    4    3
(%o1)                   x  - x  + x  - x  + x  - x + 1
(%i2) eq2:ev(eq,x=x-4);
                     8          7          5          4          3
(%o2)   - x + (x - 4)  - (x - 4)  + (x - 4)  - (x - 4)  + (x - 4)  + 5
(%i3) eq3:expand(eq2);
       8       7        6         5          4          3           2
(%o3) x  - 33 x  + 476 x  - 3919 x  + 20139 x  - 66127 x  + 135444 x
                                                             - 158161 x + 80581
(%i4) eq4:create_list(coeff(eq3,x,i),i,0,7);
(%o4)    [80581, - 158161, 135444, - 66127, 20139, - 3919, 476, - 33]
(%i5) map(gcd,eq4);
(%o5) [spmod(80581), spmod(- 158161), spmod(135444), spmod(- 66127), 
                          spmod(20139), spmod(- 3919), spmod(476), spmod(- 33)]
(%i6) 

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