## Is it possible to disable the automatic conversion...

Greetings!

For factorization and computing times purposes, I'd like Maple to not perform this automatic conversion.

gives

while gives

Alternatively, a way to factorize into could do the trick.

Here's a list of the functions I've already tried:

• factor
• collect (so coeff too)
• combine/expand

Any ideas?

Thank you!

## Unable to plot/vary a variable with respect to eig...

Hello. Please help me. I need to calculate the integral (3). This integral has many singular points at which there is convergence in the sense of the principal Cauchy value. The Maple integral itself does not count. I don't understand how to find automatically all the singular points on the integration area. Then, perhaps, it would be possible to split the integral into the sum of integrals by regions, as I roughly wrote in the picture. I want to automate this process, because in fact it is necessary to calculate many integrals of the form (4), where f(x,y) are arbitrary functions that can oscillate strongly, so I don't want to write banal quadrature formulas. I would like to use the means of Maple, since the accuracy will be greater and faster, but we need to somehow bypass the special points. I will be glad of any help. Thank you very much

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 (4)
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## Is it possible to know if Maple is going to finish...

Is there an option or a tool to know if maple is trying to finish the calculation or if it is in a bucle?

## Create a polynomiograph...

Hi.

I have to make a picture Polynomiograph from metrics such as

m:= Matrix([[1, 2, 3], [4, 5, 6]])

By assigning each number a color as follows.

1 = aquamarine

2 = blue

3 = brown

4 = coral

5 = cyan

6 = black

How should I write the code?

## How to perform this kind of integrals?...

Hello!

I am trying to integrate this function numerically from x=0... 1, by using int and evalf(Int) but maple cannot handle it. Is there another kind of numerical integration?

(2*x-1)^2*(2*n+(5*(2*x-1))*(x-1))*(2*n-5+5*x)*ln(1-(5*(1-x))*x/n)/((1-x)^2*(-2*n-(15*(1-x))*x))

Are there another kind of procedures to do numerical integration?

## How can I get a copy of the solutions to the book ...

I have a printed book copy of Derek Richards' book, Advanced Mathematical Methods With Maple and would like to get the solutions to the problems in the book. Unfortunately the web download is no longer available. I have not been able to locate a copy or to contact Derek Richards directly.

Thanks

## How to integrate the indefinite integral for PDE s...

Dear maple users,

A fine day wishes to all.

I have solved the PDE via PDsolve. Here I need to calculate the Psi function. How to calculate the indefinite integral and how to find the constant-coefficient (C1).

Here Psi=0 at x=0

int_c.mw

 > restart:
 > with(PDEtools):
 > with(plots):
 > fcns := {f(x,t),theta(x,t)};
 (1)
 > d:=0.5:xi:=0.1:
 > R:=z->piecewise(d<=z and z<=d+1,1-2*xi*(cos((2*3.14)*((z-d)*(1/2))-1/4)-(7/100)*cos((32*3.14)*(z-d-1/2))),1);
 (2)
 > PDE1 :=(diff(f(x,t),t))=1+(1-2*theta((x,t)))*(1/(R(z)^2))*((diff(f(x,t),x,x))+(1/x)*diff(f(x,t),x))+theta((x,t));
 (3)
 > PDE2 :=2*(diff(theta(x,t),t))=(1/(R(z)^2))*((diff(theta(x,t),x,x))+(1/x)*diff(theta(x,t),x));
 (4)
 > IBC := {D[1](f)(0,t)=0,f(1,t)=0,f(x,0)=0,D[1](theta)(0,t)=0,theta(1,t)=1,theta(x,0)=0};
 (5)
 > z:=0.98:
 >
 > sol:=pdsolve(eval([PDE1,PDE2]),IBC ,numeric, time = t): sol:-value(f(x,t), output=listprocedure); fN:=eval( f(x,t), sol:-value(f(x,t), output=listprocedure)):
 (6)
 > t := 1;
 (7)
 > A1:=x*R(z)*R(z)*(fN)(x, t);
 (8)
 > A2:=eval(int(A1, x))+C1;
 (9)
 > W11:=eval(subs(x=0,A2));
 > Find_c1:=solve(W11,C1);
 (10)
 >

Here u is fN(x,t) and t=1.

## how can maple be used for Heyting Algebra...

Bellissima used kripky modules to find the labels for one and two generators. the number of these labels increses to a very large number as we add another level. Can maple help count these lables? and how?

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 (4)
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 (4)
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 (7)
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## Warning: Solutions may have been lost; Pleas help...

Warning: Solutions may have been lost;  Pleas help, i have uploaded .mw file

## i can not find out the prbl of solve...

solve({-mu*a[1]+2*c[2]*a[1]*a[2]^2-a[1]*k^2*c[1]+2*c[2]*a[1]*a[0]^2+5*c[4]*a[0]^4*a[1]+5*c[4]*a[1]*a[2]^4+3*c[3]*a[1]*a[2]^2+3*c[3]*a[0]^2*a[1]+a[1]*c[1]+30*c[4]*a[0]^2*a[1]*a[2]^2-20*c[4]*a[1]*a[2]*a[0]^3-4*c[2]*a[1]*a[0]*a[2]-8*c[2]*a[1]^3*A*B+24*c[1]*a[1]*A*B-6*c[3]*a[0]*a[1]*a[2]-20*c[4]*a[0]*a[1]*a[2]^3+48*c[2]*a[1]*a[0]^2*A*B+176*c[2]*a[1]*a[2]^2*A*B-224*c[2]*a[1]*A*B*a[0]*a[2] = 0, -16*c[2]*a[1]^3-6*mu*a[1]+156*c[2]*a[1]*a[2]^2-6*a[1]*k^2*c[1]-20*c[2]*a[1]*a[0]^2+30*c[4]*a[0]^4*a[1]-20*c[4]*a[1]^3*a[2]^2+30*c[4]*a[1]*a[2]^4-6*c[3]*a[1]*a[2]^2+18*c[3]*a[0]^2*a[1]+20*c[4]*a[0]^2*a[1]^3+c[4]*a[1]^5+2*a[1]^3*c[3]-10*a[1]*c[1]-60*c[4]*a[0]^2*a[1]*a[2]^2-24*c[2]*a[1]^3*A*B+8*c[1]*a[1]*A*B+16*c[2]*a[1]*a[0]^2*A*B+336*c[2]*a[1]*a[2]^2*A*B+352*c[2]*a[1]*A*B*a[0]*a[2] = 0, -32*c[2]*a[2]*a[0]^2*A*B-8*c[2]*a[1]^2*a[0]*A*B+64*c[2]*a[2]^2*a[0]*A*B+8*c[2]*a[1]^2*a[2]*A*B-5*c[4]*a[0]^4*a[2]+10*c[4]*a[0]^3*a[2]^2-10*c[4]*a[0]^2*a[2]^3+5*c[4]*a[0]*a[2]^4-a[0]*k^2*c[1]+a[2]*k^2*c[1]-3*c[3]*a[0]^2*a[2]+3*c[3]*a[0]*a[2]^2-32*c[2]*a[2]^3*A*B-16*c[1]*a[2]*A*B+c[4]*a[0]^5-c[4]*a[2]^5+c[3]*a[0]^3-c[3]*a[2]^3-a[0]*mu+a[2]*mu = 0, 4*c[2]*a[1]^3-4*mu*a[1]-64*c[2]*a[1]*a[2]^2-4*a[1]*k^2*c[1]-8*c[2]*a[1]*a[0]^2+20*c[4]*a[0]^4*a[1]+10*c[4]*a[1]^3*a[2]^2-20*c[4]*a[1]*a[2]^4+12*c[3]*a[0]^2*a[1]+10*c[4]*a[0]^2*a[1]^3+a[1]^3*c[3]-4*a[1]*c[1]+40*c[4]*a[1]*a[2]*a[0]^3-72*c[2]*a[1]*a[0]*a[2]-8*c[1]*a[1]*A*B+12*c[3]*a[0]*a[1]*a[2]+20*c[4]*a[0]*a[1]^3*a[2]-40*c[4]*a[0]*a[1]*a[2]^3-16*c[2]*a[1]*a[0]^2*A*B-16*c[2]*a[1]*a[2]^2*A*B-32*c[2]*a[1]*A*B*a[0]*a[2] = 0, 4*c[2]*a[1]^3-4*mu*a[1]-64*c[2]*a[1]*a[2]^2-4*a[1]*k^2*c[1]-8*c[2]*a[1]*a[0]^2+20*c[4]*a[0]^4*a[1]+10*c[4]*a[1]^3*a[2]^2-20*c[4]*a[1]*a[2]^4+12*c[3]*a[0]^2*a[1]+10*c[4]*a[0]^2*a[1]^3+a[1]^3*c[3]-4*a[1]*c[1]-40*c[4]*a[1]*a[2]*a[0]^3+72*c[2]*a[1]*a[0]*a[2]+64*c[2]*a[1]^3*A*B+40*c[1]*a[1]*A*B-12*c[3]*a[0]*a[1]*a[2]-20*c[4]*a[0]*a[1]^3*a[2]+40*c[4]*a[0]*a[1]*a[2]^3+80*c[2]*a[1]*a[0]^2*A*B-624*c[2]*a[1]*a[2]^2*A*B+160*c[2]*a[1]*A*B*a[0]*a[2] = 0, 3*c[3]*a[0]*a[2]^2+6*c[2]*a[1]^2*a[0]-32*c[2]*a[2]^2*a[0]-5*a[0]*k^2*c[1]+10*c[4]*a[0]^3*a[2]^2-6*c[2]*a[1]^2*a[2]-15*c[4]*a[0]^4*a[2]-15*c[4]*a[0]*a[2]^4+10*c[4]*a[0]^2*a[2]^3+3*a[2]*k^2*c[1]-9*c[3]*a[0]^2*a[2]+16*c[2]*a[2]*a[0]^2-5*a[0]*mu+3*a[2]*mu-30*c[4]*a[0]^2*a[1]^2*a[2]+30*c[4]*a[0]*a[1]^2*a[2]^2+288*c[2]*a[2]^3*A*B+16*c[1]*a[2]*A*B+32*c[2]*a[2]*a[0]^2*A*B+104*c[2]*a[1]^2*a[0]*A*B-320*c[2]*a[2]^2*a[0]*A*B-216*c[2]*a[1]^2*a[2]*A*B+5*c[4]*a[0]^5+5*c[4]*a[2]^5+5*c[3]*a[0]^3+c[3]*a[2]^3-3*c[3]*a[1]^2*a[2]-10*c[4]*a[1]^2*a[2]^3+3*c[3]*a[0]*a[1]^2+10*c[4]*a[0]^3*a[1]^2+16*c[2]*a[2]^3+8*c[1]*a[2] = 0, -6*c[3]*a[0]*a[2]^2-22*c[2]*a[1]^2*a[0]+64*c[2]*a[2]^2*a[0]-10*a[0]*k^2*c[1]-20*c[4]*a[0]^3*a[2]^2-66*c[2]*a[1]^2*a[2]+10*c[4]*a[0]^4*a[2]+10*c[4]*a[0]*a[2]^4-20*c[4]*a[0]^2*a[2]^3-2*a[2]*k^2*c[1]+6*c[3]*a[0]^2*a[2]-16*c[2]*a[2]*a[0]^2-10*a[0]*mu-2*a[2]*mu+30*c[4]*a[0]^2*a[1]^2*a[2]-30*c[4]*a[0]*a[1]^2*a[2]^2+96*c[2]*a[2]^3*A*B+48*c[1]*a[2]*A*B+5*c[4]*a[1]^4*a[2]+5*c[4]*a[0]*a[1]^4+96*c[2]*a[2]*a[0]^2*A*B-40*c[2]*a[1]^2*a[0]*A*B+192*c[2]*a[2]^2*a[0]*A*B-40*c[2]*a[1]^2*a[2]*A*B+10*c[4]*a[0]^5+10*c[4]*a[2]^5+10*c[3]*a[0]^3-2*c[3]*a[2]^3+3*c[3]*a[1]^2*a[2]-30*c[4]*a[1]^2*a[2]^3+9*c[3]*a[0]*a[1]^2+30*c[4]*a[0]^3*a[1]^2+80*c[2]*a[2]^3-8*c[1]*a[2] = 0, -6*c[3]*a[0]*a[2]^2-22*c[2]*a[1]^2*a[0]+64*c[2]*a[2]^2*a[0]-10*a[0]*k^2*c[1]-20*c[4]*a[0]^3*a[2]^2+66*c[2]*a[1]^2*a[2]-10*c[4]*a[0]^4*a[2]+10*c[4]*a[0]*a[2]^4+20*c[4]*a[0]^2*a[2]^3+2*a[2]*k^2*c[1]-6*c[3]*a[0]^2*a[2]+16*c[2]*a[2]*a[0]^2-10*a[0]*mu+2*a[2]*mu-30*c[4]*a[0]^2*a[1]^2*a[2]-30*c[4]*a[0]*a[1]^2*a[2]^2-352*c[2]*a[2]^3*A*B+80*c[1]*a[2]*A*B-5*c[4]*a[1]^4*a[2]+5*c[4]*a[0]*a[1]^4+160*c[2]*a[2]*a[0]^2*A*B+72*c[2]*a[1]^2*a[0]*A*B-192*c[2]*a[2]^2*a[0]*A*B+312*c[2]*a[1]^2*a[2]*A*B+10*c[4]*a[0]^5-10*c[4]*a[2]^5+10*c[3]*a[0]^3+2*c[3]*a[2]^3-3*c[3]*a[1]^2*a[2]+30*c[4]*a[1]^2*a[2]^3+9*c[3]*a[0]*a[1]^2+30*c[4]*a[0]^3*a[1]^2-80*c[2]*a[2]^3+8*c[1]*a[2] = 0, a[0]^5*c[4]+5*a[0]^4*a[2]*c[4]+10*a[0]^3*a[2]^2*c[4]+10*a[0]^2*a[2]^3*c[4]+5*a[0]*a[2]^4*c[4]+a[2]^5*c[4]-k^2*a[0]*c[1]-k^2*a[2]*c[1]+a[0]^3*c[3]+3*a[0]^2*a[2]*c[3]+3*a[0]*a[2]^2*c[3]+a[2]^3*c[3]-mu*a[0]-mu*a[2] = 0, 5*a[0]^4*a[1]*c[4]+20*a[0]^3*a[1]*a[2]*c[4]+30*a[0]^2*a[1]*a[2]^2*c[4]+20*a[0]*a[1]*a[2]^3*c[4]+5*a[1]*a[2]^4*c[4]-k^2*a[1]*c[1]+2*a[0]^2*a[1]*c[2]+3*a[0]^2*a[1]*c[3]+4*a[0]*a[1]*a[2]*c[2]+6*a[0]*a[1]*a[2]*c[3]+2*a[1]*a[2]^2*c[2]+3*a[1]*a[2]^2*c[3]-mu*a[1]+a[1]*c[1] = 0, 5*a[0]^5*c[4]+15*a[0]^4*a[2]*c[4]+10*a[0]^3*a[1]^2*c[4]+10*a[0]^3*a[2]^2*c[4]+30*a[0]^2*a[1]^2*a[2]*c[4]-10*a[0]^2*a[2]^3*c[4]+30*a[0]*a[1]^2*a[2]^2*c[4]-15*a[0]*a[2]^4*c[4]+10*a[1]^2*a[2]^3*c[4]-5*a[2]^5*c[4]-5*k^2*a[0]*c[1]-3*k^2*a[2]*c[1]+5*a[0]^3*c[3]-16*a[0]^2*a[2]*c[2]+9*a[0]^2*a[2]*c[3]+6*a[0]*a[1]^2*c[2]+3*a[0]*a[1]^2*c[3]-32*a[0]*a[2]^2*c[2]+3*a[0]*a[2]^2*c[3]+6*a[1]^2*a[2]*c[2]+3*a[1]^2*a[2]*c[3]-16*a[2]^3*c[2]-a[2]^3*c[3]-5*mu*a[0]-3*mu*a[2]-8*a[2]*c[1] = 0}, {B, mu, a[0], a[1], a[2]})