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beta-coeff-fullratsimp

u1 : u0 + s1*ux + s1^...

u2 : u0 + s2*uy + s2^...

u3 : u0 - s3*uz + s3^...

Calculate

beta-gamma-linsolve

eqz1:X0A=X1A*(COS(alf...

eqz2:Y0A=Y1A* (- SIN(...

eqz3:Z0A=SIN(beta)* Y...

Calculate

beta-diff-sum

L(beta) := sum(((y(i)...

diff(L(b),b);

Calculate

beta

aa: (1+i*nu)*A-(1+i*b...

Calculate

beta-echelon-kill-linsolve-matrix-rank

v1:[1,2,3,4,5];

v2:[0,-1,1,2,3];

v3:[3,2,1,0,-1];

Calculate

beta-cos-display2d-false-gamma-ratsimp-sin-solve-sqrt

display2d:false;

e: ratsimp((-x*sin(al...

solve([e],[x]);

Calculate

beta-cos-linsolve-sin

eq1:M-Fz*cos(alpha)*b...

eq2:Fy+Ray=0;

eq3:Fz+Raz=0;

Calculate

beta

vb1:rb*ib1+RE*(1+beta...

Calculate

beta-cos-phi-sin-solve

eq1:(1/2)+cos(phi)=co...

eq2:-(1/2)=-sin(beta)...

eq3:-sin(phi)=sin(bet...

Calculate

beta

Run Example
(%i1)a:20;
(%o1)                                 20
(%i2) b:16;
(%o2)                                 16
(%i3) d:sqrt(a**2+b**2);
(%o3)                             4 sqrt(41)
(%i4)  alpha:arcsin(a/d)*180/%pi;
                                           5
                             180 arcsin(--------)
                                        sqrt(41)
(%o4)                        --------------------
                                     %pi
(%i5) beta:90-alpha;
                                              5
                                180 arcsin(--------)
                                           sqrt(41)
(%o5)                      90 - --------------------
                                        %pi
(%i6) 
Run Example
kill(eq1,eq1,eq3,eq4,x,y,z,t,lambda,mu,alpha,beta);
(%o1)                                done
(%i2) eq1:x+y+t=0;
(%o2)                            y + x + t = 0
(%i3)  eq2:x+2*y-z+t=0;
(%o3)                        - z + 2 y + x + t = 0
(%i4) eq3:x-y+z+t=0;
(%o4)                          z - y + x + t = 0
(%i5)  eq4:x+y+2*z-a*t=0;
(%o5)                        2 z + y + x - a t = 0
(%i6) linsolve([eq1,eq2,eq3,eq4],[a] );
(%o6)                                 []
(%i7) 
Run Example
eq1:1=x^\alpha*y^beta;
                                    alpha  beta
(%o1)                          1 = x      y
(%i2) eq2:I=p_x*x+p_y*y;
(%o2)                          I = p_y y + p_x x
(%i3) linsolve([eq1,eq2],[x,y]);
(%o3)                                 []
(%i4) 

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