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declare-expand-mainvar-solve

eq1:vo=Rc*gm*(-vb2+ve);

eq2:ve=Re*gm*(vb1+vb2...

eq3:Dv=vb1-vb2;

Calculate

declare-diff-ev

declare(w,real);

declare(t,real);

eq1:f(t)=e^(i*w*t);

Calculate

declare-let

:lisp (defparameter x...

Calculate

declare-integrate-nonscalar-solve-subst

v(t) := [2, 2*t, 1];

declare(c, nonscalar);

tmp: integrate(v(t), t);

Calculate

declare-exp-solve

declare(t, real);

declare(R, real);

declare(C, real);

Calculate

declare-delta-feature-lambda-linsolve-matchdeclare-tellsimp

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

eq2:x+2=y;

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

Calculate

declare-solve

declare(x, integer);

declare(y, integer);

eq1:b=(1-y(1+n-n*2015...

Calculate

declare-expand-load-solve

load(atensor);

init_atensor(clifford...

q(a,b,c,d):=a+b.v[1]+...

Calculate

declare-solve-subst

eq1:x*9+y*5=14;

declare(x, integerval...

declare(y, integerval...

Calculate

declare-evfun-expand-load

load(vector);

T(x):=x*y^2;

setcoord(c[x, y, z]);

Calculate

declare

Run Example
(%i1)declare(k, integer);
(%o1)                                done
(%i2) declare(x, real);
(%o2)                                done
(%i3) is(%e^(%k) <
 %e^(%k*x^2));
(%o3)                               unknown
(%i4) 
Run Example
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
declare(S,real,Q,real, f,real,f0,real);
(%o1)                                done
(%i2) abs((S/(1 + %i*2*Q(f-f0)/f0))^2);
                                       2
                                      S
(%o2)                          ----------------
                                  2
                               4 Q (f - f0)
                               ------------ + 1
                                     2
                                   f0
(%i3) imagpart((S/(1 + %i*2*Q(f-f0)/f0)));
                                  2 Q(f - f0) S
(%o3)                       - ---------------------
                                  2
                               4 Q (f - f0)
                              (------------ + 1) f0
                                     2
                                   f0
(%i4) 
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