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declare-dotscrules-true

declare(theta,scalar,...

declare(T12, nonscala...

dotscrules:true;

Calculate

declare-solve

declare(x, integer);

declare(y, integer);

eq1:b=(1-y(1+474-474*...

Calculate

declare-dotscrules-expand-limit-true

declare(a,scalar);

declare(T12, nonscala...

dotscrules:true;

Calculate

declare-solve-subst

eq1:x*9+y*5=1732;

declare(x, integerval...

declare(y, integerval...

Calculate

declare-diff-exp

declare(lambda, scalar);

ut : exp(-lambda*(x*x...

f : diff(diff(ut,x),x);

Calculate

declare-evfun-load

load(eigen);

load(vector);

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

Calculate

declare-diff-expand-linear-rhs-solve-sum

f(a,b):=sum((y[i]-a*x...

f1:diff(f(a,b),a)=0,e...

f2:diff(f(a,b),b)=0,e...

Calculate

declare-dotscrules-expand-limit-true

declare(a,scalar);

declare(T12, nonscala...

dotscrules:true;

Calculate

declare-inf-limit

declare (n, integer);

a:(3^n+5^n+7^n);

limit(a,n,inf);

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(theta,scalar,phi,scalar);
(%o1)                                done
(%i2) declare(T12, nonscalar ,T14c, nonscalar ,T14e,nonscalar,B,nonscalar,A,nonscalar);
(%o2)                                done
(%i3) dotscrules:true;
(%o3)                                true
(%i4) I(X):=(X^^(-1));
                                         <- 1>
(%o4)                           I(X) := X
(%i5) T(X):=X.I(T12).T14c.I(T14e).T12.I(X).T14e;
(%o5)  T(X) := X . (I(T12) . (T14c . (I(T14e) . (T12 . (I(X) . T14e)))))
(%i6) T(T12+a*A)-T(T12);
                       <- 1>              <- 1>                    <- 1>
(%o6) (T12 + a A) . T12      . T14c . T14e      . T12 . (T12 + a A)      . T14e
                                                                         - T14c
(%i7) 
Run Example
declare(r,real);
(%o1)                                done
(%i2) declare(t,real);
(%o2)                                done
(%i3) a:K1*r*exp(%i*t)+K2*r**2*exp(%i*2*t)+K3*r**3*exp(%i*3*t);
                  3   3 %i t       2   2 %i t          %i t
(%o3)            r  %e       K3 + r  %e       K2 + r %e     K1
(%i4) Bt:diff(a,r);
                   2   3 %i t            2 %i t        %i t
(%o4)           3 r  %e       K3 + 2 r %e       K2 + %e     K1
(%i5) Br:diff(a,t)/r;
                3   3 %i t            2   2 %i t             %i t
          3 %i r  %e       K3 + 2 %i r  %e       K2 + %i r %e     K1
(%o5)     ----------------------------------------------------------
                                      r
(%i6) factor(Bt*conjugate(Bt)+Br*conjugate(Br));
          - 2 %i t     2            %i t        2 %i t
(%o6) 2 %e         (3 r  K3 + 2 r %e     K2 + %e       K1)
                                            2   2 %i t            %i t
                                        (3 r  %e       K3 + 2 r %e     K2 + K1)
(%i7) 
[abs,assume,ceiling,declare,floor,max,tex] [additive,cos,declare,sin] [additive,declare,inf,simpsum] [append,assume,declare,eliminate,ev,first,fpprintprec,lambda,map,plot2d,solve,sublist] [append,block,declare,do,factor,if,lsum] [append,block,declare,do,factor,lsum] [append,block,declare,factor,lsum] [apply,declare,dotconstrules,evfun,load,true] [assume,constant,cos,declare,diff,let,letsimp,sin,solve,trigsimp] [assume,constant,cos,declare,diff,let,letsimp,sin,solve] [assume,constant,cos,declare,diff,let,letsimp,sin,subst,trigsimp] [assume,declare,exp,facts,log,residue,sin,sinh] [assume,declare,identfor,ilt,inf,invert,limit,matrix,partfrac] [assume,declare,stirling2] [block,cos,cot,csc,declare,evfun,if,kill,lambda,length,map,sec,sin,subst,tan] [block,declare,dim,emptyp,evfun,false,get,if,length,not,sqrt] [block,declare,factor] [complex,conjugate,declare,matrix,transpose] [complex,declare,define,determinant,domain,matrix,sqrt] [conjugate,declare,diff,exp] [conjugate,declare] [constant,cos,declare,derivabbrev,diff,lhs,mainvar,ratsimp,rhs,sin,solve,subst,true] [constant,cos,declare,derivabbrev,diff,mainvar,sin,solve,subst,true] [constant,cos,declare,diff,let,letsimp,sin,solve] [constant,cos,declare,diff,phi,plot2d,sqrt] [constant,cos,declare,diff,sin,solve] [constant,cos,declare,expand,inf,integrate,plot2d,quad_qagi,sin] [constant,cos,declare,ratsubst,solve,sqrt] [constant,declare,diff,sum] [constant,declare,plot3d] [cos,cot,declare,defrule,evfun,false,let,letsimp,matchdeclare,sin,tan,tellsimp,trigexpand,trigsimp,true] [cos,declare,integrate,pi,sin] [cos,declare,integrate,sin] [cos,declare,matrix,sin] [declare,dot0simp,dotassoc,dotconstrules,dotdistrib,dotexptsimp,dotident,dotscrules,limit,simp,true] [declare,dotconstrules,evfun,load,plot2d,true] [declare,dotconstrules,evfun,load,plot3d,true] [declare,dotscrules,expand,limit,true] [declare,dotscrules,expand,true] [declare,evfun,load] [declare,expand,load] [declare,expand,mainvar] [declare,expand] [declare,inf,limit] [declare,is] [declare,limit,scalarp] [declare,limit] [declare,solve,subst] [declare,solve] [declare]

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