Sponsored links: Algebra eBooks
 

Related

gamma-solve-tan

eq1:(x-z*tan(gamma))*...

eq2:z-5;

eq3:gamma-20.923;

Calculate

gamma-sqrt-subst

xn1 : pt(sqrt((n*(1+g...

subst(0, gamma, xn1);

C1: pt*fc/3/xn1*(n*(1...

Calculate

gamma-plot3d-showtime-sqrt-true
 plot3d (gamma(sqrt(x^2+y^2)),[x, -3, 3], [y, -2, 2]);

showtime:true;

plot3d (gamma(sqrt(x...

Calculate

gamma-plot3d-showtime-sqrt-true
 plot3d (gamma(sqrt(x^2+y^2)),[x, -4, 4], [y, -4, 4],[z,0,200]);

showtime:true;

plot3d (gamma(sqrt(x...

Calculate

gamma-sqrt

_c : 299792458 /* met...

_gamma(v) := 1 / sqrt...

ke_rel(m_0, v) := (_g...

Calculate

gamma-inf-sum

sum(((gamma(k+3))*(su...

Calculate

gamma-plot3d-showtime-sqrt-true
 plot3d (gamma(sqrt(x^2+y^2)),[x, -4, 4], [y, -4, 4],[z,0,20]);

showtime:true;

plot3d (gamma(sqrt(x...

Calculate

gamma-linsolve

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

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

gamma-inf

sumsimplifact;

sum(((gamma(k+3))*(su...

Calculate

gamma-sqrt-subst

xn1 : pt(sqrt((n*(1+g...

subst(0, gamma, xn1);

C1: pt*fc/3/xn1*(n*(1...

Calculate

gamma

Run Example
(%i1)declare(m,integer);
(%o1)                                done
(%i2) factorial_expand:true;
(%o2)                                true
(%i3) epsilon(n,k):=(binomial(n,k)*gamma(3/2)/gamma(3/2-n+k)-(-1)^n*binomial(n-1,k-1)*n!/k!);
                                            3
                       binomial(n, k) gamma(-)
                                            2
(%o3) epsilon(n, k) := -----------------------
                                3
                          gamma(- - n + k)
                                2
                                                    n
                                               (- 1)  binomial(n - 1, k - 1) n!
                                             - --------------------------------
                                                              k!
(%i4) G(m):=-m*(4*m-3)/2;
                                    (- m) (4 m - 3)
(%o4)                       G(m) := ---------------
                                           2
(%i5) rat(epsilon(2*m,2*m-4)-G(m)*epsilon(2*m-1,2*m-4));
                8         7          6          5          4          3
(%o5)/R/ (1024 m  - 8704 m  + 30976 m  - 59680 m  + 67036 m  - 43756 m
                                                                 2
                                                        + 15309 m  - 2205 m)/96
(%i6) epsilon(4,1)-G(2)*epsilon(3,1);
                                      15
(%o6)                                 --
                                      4
(%i7) epsilon(2,1);
(%o7)                                 - 1
(%i8) epsilon(2,0);
                                        1
(%o8)                                 - -
                                        4
(%i9) 
Run Example
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) 

Related Help

Help for Gamma