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Related

gamma-linsolve-solve

eq1:x*4+y-2=y;

eq2:x+2=y;

eq3: pi*(1+(x-((a-1)/...

Calculate

gamma-integrate-log

f(s):=integrate((-log...

f(3);

f(2);

Calculate

gamma-integrate-log

f(s):=integrate((-log...

f(3);

f(2);

Calculate

gamma-linsolve-solve

eq1:x*4+y-2=y;

eq2:x+2=y;

eq3: pi*(1+(x-((a-1)/...

Calculate

gamma-inf-limit

limit (gamma(x/2)^(-x...

Calculate

gamma-kill-linsolve

kill(eq1,eq2,eq3,eq4,...

eq1:x-3*y+t=0;

linsolve([eq1],[x,y,z...

Calculate

gamma-pi-plot2d-sqrt
plot2d([pi(x) / (sqrt(2 * %pi * x) * (x / %e) ** x)], [x, 2, 20]);

pi(x) := gamma(x + 1);

plot2d([pi(x) / (sqrt...

Calculate

gamma-integrate

f(x, a, b):= (gamma(a...

fsolve(integrate(f(x,...

Calculate

gamma

/* Mittl. Entfernung ...

/* Masse Sonne: 1.989...

/*Masse Erde: 5.972e2...

Calculate

gamma

f(s)=%pi^(-s)*gamma(s...

f(1);

Calculate

gamma

Run Example
(%i1)eq1:x=lambda;
(%o1)                             x = lambda
(%i2) eq2:y=lambda+mu;
(%o2)                           y = lambda + mu
(%i3) eq3:z=gamma;
(%o3)                              z = gamma
(%i4) eq4:t=mu;
(%o4)                               t = mu
(%i5) ma:coefmatrix([eq1,eq2,eq3,eq4],[lambda,mu,gamma]);
                               [ - 1   0    0  ]
                               [               ]
                               [ - 1  - 1   0  ]
(%o5)                          [               ]
                               [  0    0   - 1 ]
                               [               ]
                               [  0   - 1   0  ]
(%i6) rank(ma);
(%o6)                                  3
(%i7) transpose(ma);
                            [ - 1  - 1   0    0  ]
                            [                    ]
(%o7)                       [  0   - 1   0   - 1 ]
                            [                    ]
                            [  0    0   - 1   0  ]
(%i8) newma:addcol(ma,[x,y,z,t]);
                             [ - 1   0    0   x ]
                             [                  ]
                             [ - 1  - 1   0   y ]
(%o8)                        [                  ]
                             [  0    0   - 1  z ]
                             [                  ]
                             [  0   - 1   0   t ]
(%i9) determinant:(ma);
                               [ - 1   0    0  ]
                               [               ]
                               [ - 1  - 1   0  ]
(%o9)                          [               ]
                               [  0    0   - 1 ]
                               [               ]
                               [  0   - 1   0  ]
(%i10) 
Run Example
diff(gamma(1+1/p),p);
                                 1            1
                            psi (- + 1) gamma(- + 1)
                               0 p            p
(%o1)                     - ------------------------
                                        2
                                       p
(%i2) diff(x^(1/p), p, inf);
                                  inf
                                 d       1/p
(%o2)                            ----- (x   )
                                   inf
                                 dp
(%i3) 
Run Example
gamma(5);
(%o1)                                 24
(%i2) solve(x^3+3*x);
(%o2)              [x = - sqrt(3) %i, x = sqrt(3) %i, x = 0]
(%i3) 

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