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grind-integrate

tau:1-T/T_c;

eq:A/tau+B+C*tau+D*ta...

eq1:integrate(eq,T);

Calculate

grind-integrate-subst

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind-plot2d-sqrt-taylor
plot2d([sqrt(x),f(x)],[x,0,3]);

grind(''taylor(x^(1/2...

f(x):=1+(x-1)/2-(x-1)...

plot2d([sqrt(x),f(x)]...

Calculate

grind-integrate-subst

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind-partfrac

partfrac(1/(1+x^5), x);

grind(%);

Calculate

grind-linsolve

eq1 : n_i + t*r_i*n_b...

grind(linsolve(eq1, t));

eq2 : n_i + t*r_i*n_b...

Calculate

grind-invert-matrix-transpose

Q : matrix([1, -2, 1,...

invert(Q.transpose(Q)...

transpose(Q).invert(Q...

Calculate

grind-integrate-subst

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

grind-linsolve-ratsimp

eq1: b1 + b3*w + 2*b4...

eq2: b2 + b3*d + 2*b5...

grind(linsolve([eq1,e...

Calculate

grind-linsolve

eq1: y1 = a*1^2 + b*1...

eq2: 2*y2 = a*2^2 + b...

eq3: 3*y3 = a*3^2 + b...

Calculate

grind

Run Example
(%i1)simp:false;
(%o1)                                false
(%i2) radexpand:false;
(%o2)                                false
(%i3) 1/a, simp:false;
                                       1
(%o3)                                  -
                                       a
(%i4) 1/b, simp:false;
                                       1
(%o4)                                  -
                                       b
(%i5) 1/(a*b), simp:false;
                                       1
(%o5)                                 ---
                                      a b
(%i6) tellsimp(1/(a*b), ((1/a)*(1/b)));
(%o6)                         [/rule1, simpquot]
(%i7) 1/(a*b);
                                       1
(%o7)                                 ---
                                      a b
(%i8) disprule(all);
                                       1     1  1
(%t8)                        /rule1 : --- -> - (-)
                                      a b    a  b

(%o8)                                [%t8]
(%i9) 1/(a*b);
                                       1
(%o9)                                 ---
                                      a b
(%i10) properties("*");
(%o10)              [mirror symmetry, nary, rule, operator]
(%i11) rat(1/(a*b));
                                       1
(%o11)/R/                             ---
                                      a b
(%i12) map('ratsimp, 1/(a*b));
                                       1
(%o12)                                ---
                                      a b
(%i13) grind(1/(a*b));

1/(a*b)$
(%o13)                               done
(%i14) partfrac(1/(a*b), a);
                                     1  - 1
(%o14)                            + (- a   )
                                     b
(%i15) a^-1;
                                      - 1
(%o15)                               a
(%i16) 
Run Example
grind(diff(x^-16 - const,x));

-16/x^17$
(%o1)                                done
(%i2) 
Run Example
y(t) := b*t + a*t^2 + d*t^3 + e*t^4;
                                        2      3      4
(%o1)                  y(t) := b t + a t  + d t  + e t
(%i2) grind(diff(y(t),t));

4*e*t^3+3*d*t^2+2*a*t+b$
(%o2)                                done
(%i3) yp(t) := 3*d*t^2+2*a*t+b;
                                        2
(%o3)                     yp(t) := 3 d t  + 2 a t + b
(%i4) yp(t-1);
                                                 2
(%o4)                   2 a (t - 1) + 3 d (t - 1)  + b
(%i5) grind(ratsimp((23/12)*yp(t-1)-(4/3)*yp(t-2)+(5/2)*yp(t-3)));

(111*d*t^2+(74*a-486*d)*t+687*d+37*b-162*a)/12$
(%o5)                                done
(%i6) 
[assume,grind,solve,sqrt] [atan,diff,ev,eval,float,grind,numer,solve] [atan,diff,ev,float,grind,numer,solve] [beta,diff,grind,solve,sum] [beta,diff,grind] [beta,eval,grind,integrate] [bfloat,expand,fpprec,grind,log,taylor,taytorat] [bfloat,fpprec,grind,log] [bfloat,fpprec,grind,makelist] [block,cholesky,copymatrix,exp,expand,fundef,grind,length,makelist,matrix,sqrt,string,sum] [block,grind,load] [clear_rules,disprule,false,grind,map,partfrac,properties,radexpand,rat,simp,tellsimpafter,true] [cos,diff,exp,grind,sin] [cos,draw,draw2d,grind,load,sin,sqrt] [cos,float,grind,pi,sin] [cos,grind,integrate,logabs,sin,true] [cos,grind,sin] [diff,expand,grind] [diff,fullratsimp,grind,linsolve,lsum] [diff,grind,load] [diff,grind,log,plot2d,solve] [diff,grind,log] [diff,grind,ratsimp] [diff,grind] [disprule,facts,false,grind,map,partfrac,properties,radexpand,rat,simp,tellsimp] [disprule,false,grind,map,noeval,partfrac,properties,radexpand,rat,simp,tellsimp] [disprule,false,grind,map,partfrac,properties,radexpand,rat,simp,tellsimp] [disprule,false,grind,map,partfrac,properties,radexpand,rat,simp,tellsimpafter,true] [ev,grind,integrate,nouns] [ev,grind,log,numer,solve] [expand,grind] [first,grind,solve] [grind,integrate,subst] [grind,integrate] [grind,linsolve,niceindices,powerseries] [grind,linsolve,ratsimp] [grind,linsolve,sqrt] [grind,linsolve,tex] [grind,linsolve] [grind,matrix,transpose] [grind,matrix] [grind,partfrac] [grind,plot2d,sqrt,taylor] [grind,solve] [grind,taylor] [grind,true] [grind]

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