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Hi All,

Maple is changing fast. It is not possible to run some older codes. 

Is it possible those who have a valid Maple license to have the old versions free of charge?

I have Maple 7, 2018, 2021 licenses but still have problem running older codes.

restart; with(PDEtools); declare(F(x, t), G(x, t), H(x, t))

F(x, t)*`will now be displayed as`*F

 

G(x, t)*`will now be displayed as`*G

 

H(x, t)*`will now be displayed as`*H

(1)

q := 1-(diff(diff(log(F(x, t)), x), t)); r := G/F; s := H/F

1-(diff(diff(F(x, t), t), x))/F(x, t)+(diff(F(x, t), x))*(diff(F(x, t), t))/F(x, t)^2

 

G/F

 

H/F

(2)

r1s1 := r*s; r1s1der := diff(r1s1(x, t), x)

qt := diff(q(x, t), t)

eq1B := F(x, t)^3*(qt+r1s1der) = 0; eq12B := simplify(expand(eq1B))

-F(x, t)^3*(diff((diff(diff(F(x, t), t), x))(x, t), t))/(F(x, t))(x, t)+F(x, t)^3*(diff(diff(F(x, t), t), x))(x, t)*(diff((F(x, t))(x, t), t))/(F(x, t))(x, t)^2+F(x, t)^3*(diff((diff(F(x, t), x))(x, t), t))*(diff(F(x, t), t))(x, t)/(F(x, t))(x, t)^2-2*F(x, t)^3*(diff(F(x, t), x))(x, t)*(diff(F(x, t), t))(x, t)*(diff((F(x, t))(x, t), t))/(F(x, t))(x, t)^3+F(x, t)^3*(diff(F(x, t), x))(x, t)*(diff((diff(F(x, t), t))(x, t), t))/(F(x, t))(x, t)^2+F(x, t)*(diff(G(x, t), x))*H(x, t)-2*G(x, t)*H(x, t)*(diff(F(x, t), x))+F(x, t)*G(x, t)*(diff(H(x, t), x)) = 0

(3)

D_x_x_G_F := (diff(G(x, t), x, x))*F(x, t)-2*(diff(G(x, t), x))*(diff(F(x, t), x))+G(x, t)*(diff(F(x, t), x, x)); D_t_t_F_F := F(x, t)*(diff(F(x, t), `$`(t, 2)))-2*(diff(F(x, t), t))^2

(diff(diff(G(x, t), x), x))*F(x, t)-2*(diff(G(x, t), x))*(diff(F(x, t), x))+G(x, t)*(diff(diff(F(x, t), x), x))

 

F(x, t)*(diff(diff(F(x, t), t), t))-2*(diff(F(x, t), t))^2

(4)

NULL

rxt := diff(diff(r(x, t), x), t)

eq2B := -2*q*r+rxt = 0

eq22B := simplify(expand(eq2B))

((-F*F(x, t)*G(x, t)+2*G*F(x, t)^2)*(diff(diff(F(x, t), t), x))+(diff(diff(G(x, t), t), x))*F*F(x, t)^2+((2*F*G(x, t)-2*G*F(x, t))*(diff(F(x, t), x))-F*(diff(G(x, t), x))*F(x, t))*(diff(F(x, t), t))-(diff(G(x, t), t))*(diff(F(x, t), x))*F*F(x, t)-2*G*F(x, t)^3)/(F*F(x, t)^3) = 0

(5)

sxt := diff(diff(s(x, t), x), t)

eq3B := -2*q*s+sxt = 0

eq32B := simplify(expand(eq3B))

((-F*F(x, t)*H(x, t)+2*H*F(x, t)^2)*(diff(diff(F(x, t), t), x))+(diff(diff(H(x, t), t), x))*F*F(x, t)^2+((2*F*H(x, t)-2*H*F(x, t))*(diff(F(x, t), x))-F*(diff(H(x, t), x))*F(x, t))*(diff(F(x, t), t))-(diff(H(x, t), t))*(diff(F(x, t), x))*F*F(x, t)-2*H*F(x, t)^3)/(F*F(x, t)^3) = 0

(6)

"#`# How to simplify Eqs. (3), (5) and (6) and write in terms of following bilineat operators` by using (4)"?""

NULL

NULL

Download BE.mw

Hi,

Experiencing the following problem.  One of our servers was cloned, the GUID was replaced and then rejoined to the domain.  All applications are working exept Maple.  The application launches but then closes right away.  No error messages provided so not sure where else to look for possible fixes to this problem.  The application is runing on Server 2022.

Thank you.

restart

with(PDEtools)

with(LinearAlgebra)

NULL

with(SolveTools)

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

(1)

declare(u(x, y, z, t))

u(x, y, z, t)*`will now be displayed as`*u

(2)

pde := diff(u(x, y, z, t), `$`(t, 2))+diff(u(x, y, z, t), `$`(x, 2))-(diff(u(x, y, z, t)^2, `$`(x, 2)))-(diff(u(x, y, z, t), `$`(x, 4)))+diff(diff(u(x, y, z, t), y)+diff(u(x, y, z, t), z)+diff(u(x, y, z, t), t), x)+2*(diff(u(x, y, z, t), y, t))+diff(u(x, y, z, t), `$`(y, 2)) = 0

diff(diff(u(x, y, z, t), t), t)+diff(diff(u(x, y, z, t), x), x)-2*(diff(u(x, y, z, t), x))^2-2*u(x, y, z, t)*(diff(diff(u(x, y, z, t), x), x))-(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))+diff(diff(u(x, y, z, t), x), y)+diff(diff(u(x, y, z, t), x), z)+diff(diff(u(x, y, z, t), t), x)+2*(diff(diff(u(x, y, z, t), t), y))+diff(diff(u(x, y, z, t), y), y) = 0

(3)

declare(v(t))

v(t)*`will now be displayed as`*v

(4)

declare(f(x, y, z, t))

f(x, y, z, t)*`will now be displayed as`*f

(5)

Q := u(x, y, z, t) = 6*(diff(ln(f(x, y, z, t)), `$`(x, 2)))

LL := diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x)-(diff(diff(diff(f(x, y, z, t), x), x), x))-(diff(diff(diff(f(x, y, z, t), t), t), x))-(diff(diff(diff(f(x, y, z, t), t), x), x))-2*(diff(diff(diff(f(x, y, z, t), t), x), y))-(diff(diff(diff(f(x, y, z, t), x), x), y))-(diff(diff(diff(f(x, y, z, t), x), x), z))-(diff(diff(diff(f(x, y, z, t), x), y), y)) = 0

diff(diff(diff(diff(diff(f(x, y, z, t), x), x), x), x), x)-(diff(diff(diff(f(x, y, z, t), x), x), x))-(diff(diff(diff(f(x, y, z, t), t), t), x))-(diff(diff(diff(f(x, y, z, t), t), x), x))-2*(diff(diff(diff(f(x, y, z, t), t), x), y))-(diff(diff(diff(f(x, y, z, t), x), x), y))-(diff(diff(diff(f(x, y, z, t), x), x), z))-(diff(diff(diff(f(x, y, z, t), x), y), y)) = 0

(6)

S22 := f(x, y, z, t) = 1+exp((-(1/2)*k[1]-l[1]+(1/2)*sqrt(4*k[1]^4-3*k[1]^2-4*k[1]*s[1]))*t+k[1]*x+l[1]*y+s[1]*z)+exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*sqrt(4*k[2]^4-3*k[2]^2-4*k[2]*s[2]))*t)+B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*sqrt(4*k[1]^4-3*k[1]^2-4*k[1]*s[1]))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*sqrt(4*k[2]^4-3*k[2]^2-4*k[2]*s[2]))*t)

f(x, y, z, t) = 1+exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)+exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)+B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)

(7)

NULL

R11 := eval(LL, S22)

k[1]^5*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)+k[2]^5*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)+B[1]*(k[1]+k[2])^5*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]^3*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]^3*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])^3*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))^2*k[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))^2*k[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))^2*(k[1]+k[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*k[1]^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*k[2]^2*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*(k[1]+k[2])^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-2*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*k[1]*l[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-2*(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*k[2]*l[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-2*B[1]*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*(k[1]+k[2])*(l[1]+l[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]^2*l[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]^2*l[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])^2*(l[1]+l[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]^2*s[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]^2*s[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])^2*(s[1]+s[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]*l[1]^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]*l[2]^2*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])*(l[1]+l[2])^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t) = 0

(8)

L4 := collect(%, [x, y, t], 'distributed')

k[1]^5*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)+k[2]^5*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)+B[1]*(k[1]+k[2])^5*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]^3*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]^3*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])^3*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))^2*k[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))^2*k[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))^2*(k[1]+k[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*k[1]^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*k[2]^2*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*(k[1]+k[2])^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-2*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*k[1]*l[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-2*(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*k[2]*l[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-2*B[1]*(-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*(k[1]+k[2])*(l[1]+l[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]^2*l[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]^2*l[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])^2*(l[1]+l[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]^2*s[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]^2*s[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])^2*(s[1]+s[2])*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[1]*l[1]^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z)-k[2]*l[2]^2*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-B[1]*(k[1]+k[2])*(l[1]+l[2])^2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t) = 0

(9)

indets(%)

{t, x, y, z, B[1], k[1], k[2], l[1], l[2], s[1], s[2], (4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2), (4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2), exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t), exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z), exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)}

(10)

eq2 := algsubs(exp((-(1/2)*k[1]-l[1]+(1/2)*sqrt(4*k[1]^4-3*k[1]^2-4*k[1]*s[1]))*t+k[1]*x+l[1]*y+s[1]*z) = X, L4)

-(1/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])*k[2]-exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[2]^2*s[1]-exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[2]^2*s[2]+5*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]^4*k[2]+10*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]^3*k[2]^2+10*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]^2*k[2]^3+5*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]*k[2]^4-exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]^2*s[1]-exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]^2*s[2]-(9/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*k[2]^2*k[1]-(9/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*k[1]^2*k[2]-(1/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])*k[1]-(1/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])*k[2]-(1/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])*k[1]+exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]^5+exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[2]^5-(3/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*k[1]^3-(3/4)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*k[2]^3-(1/4)*k[1]*X*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])-(1/4)*k[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])-k[1]^2*s[1]*X-(3/4)*k[2]^3*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)+k[2]^5*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)-k[2]^2*s[2]*exp(k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)+k[1]^5*X-(3/4)*k[1]^3*X-2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]*k[2]*s[1]-2*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*B[1]*k[1]*k[2]*s[2]-(1/2)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2)*k[1]-(1/2)*B[1]*exp((-(1/2)*k[1]-l[1]+(1/2)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2))*t+k[1]*x+l[1]*y+s[1]*z+k[2]*x+l[2]*y+s[2]*z+(-(1/2)*k[2]-l[2]+(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2))*t)*(4*k[1]^4-3*k[1]^2-4*k[1]*s[1])^(1/2)*(4*k[2]^4-3*k[2]^2-4*k[2]*s[2])^(1/2)*k[2] = 0

(11)

eq3 := simplify(eq2)

-(1/2)*(k[1]+k[2])*B[1]*((k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-8*k[1]*k[2]^3-12*k[2]^2*k[1]^2+(-8*k[1]^3+3*k[1]+2*s[1])*k[2]+2*s[2]*k[1])*exp((1/2)*t*(k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*(-k[1]-k[2]-2*l[1]-2*l[2])*t+k[1]*x+k[2]*x+l[1]*y+l[2]*y+z*(s[1]+s[2])) = 0

(12)

indets(eq3)

{t, x, y, z, B[1], k[1], k[2], l[1], l[2], s[1], s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2), exp((1/2)*t*(k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*(-k[1]-k[2]-2*l[1]-2*l[2])*t+k[1]*x+k[2]*x+l[1]*y+l[2]*y+z*(s[1]+s[2]))}

(13)

eq4 := algsubs(exp((1/2)*t*sqrt(k[1]*(4*k[1]^3-3*k[1]-4*s[1]))+(1/2)*t*sqrt(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))+(1/2)*(-k[1]-k[2]-2*l[1]-2*l[2])*t+k[1]*x+k[2]*x+l[1]*y+l[2]*y+z*(s[1]+s[2])) = V, eq3)

-(1/2)*(k[1]+k[2])*B[1]*(-8*k[2]*k[1]^3-12*k[2]^2*k[1]^2-8*k[1]*k[2]^3+(k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+3*k[1]*k[2]+2*s[2]*k[1]+2*s[1]*k[2])*V = 0

(14)

indets(eq4)

{V, B[1], k[1], k[2], s[1], s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)}

(15)

eqs := {coeffs(collect(numer(normal(lhs(eq4))), {V}, 'distributed'), {V})}; nops(%); indets(eqs)

{-(k[1]+k[2])*B[1]*(-8*k[2]*k[1]^3-12*k[2]^2*k[1]^2-8*k[1]*k[2]^3+(k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+3*k[1]*k[2]+2*s[2]*k[1]+2*s[1]*k[2])}

 

1

 

{B[1], k[1], k[2], s[1], s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)}

(16)

vars := indets(eqs); ans := solve(eqs, vars)

{B[1], k[1], k[2], s[1], s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)}

 

Warning, solving for expressions other than names or functions is not recommended.

 

{B[1] = B[1], k[1] = -k[2], k[2] = k[2], s[1] = s[1], s[2] = s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2) = (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2) = (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)}, {B[1] = 0, k[1] = k[1], k[2] = k[2], s[1] = s[1], s[2] = s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2) = (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2) = (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)}, {B[1] = B[1], k[1] = k[1], k[2] = k[2], s[1] = (1/2)*(8*k[2]*k[1]^3+12*k[2]^2*k[1]^2+8*k[1]*k[2]^3-3*k[1]*k[2]-2*s[2]*k[1]-(k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))/k[2], s[2] = s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2) = (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2) = (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)}

(17)

case2 := ans[1]

{B[1] = B[1], k[1] = -k[2], k[2] = k[2], s[1] = s[1], s[2] = s[2], (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2) = (k[1]*(4*k[1]^3-3*k[1]-4*s[1]))^(1/2), (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2) = (k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)}

(18)

FF := subs(case2, S22)

NULL

F11 := eval(Q, FF)

pdetest(F11, pde)

-6*k[2]^2*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(B[1]*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+56*k[2]^4*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-6*k[2]^2*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+B[1]*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-24*B[1]*k[2]^2*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+2*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+4*k[2]*s[1]*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-4*k[2]*s[2]*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+2*k[2]*s[2]*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-2*k[2]*s[1]*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-224*k[2]^4*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-4*k[2]*s[2]*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+4*k[2]*s[1]*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+2*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+6*B[1]*k[2]^2*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-8*B[1]*k[2]^4*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+3*B[1]*k[2]^2*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-28*B[1]*k[2]^4*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-28*B[1]*k[2]^4*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+24*k[2]^2*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+16*B[1]*k[2]*s[1]*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-16*B[1]*k[2]*s[2]*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+8*B[1]*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-4*B[1]*k[2]*s[1]*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+4*B[1]*k[2]*s[2]*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-2*B[1]*exp(-t*k[2]+2*t*l[1]+4*k[2]*x+2*l[2]*y+2*s[2]*z+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-2*B[1]*k[2]*s[1]*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+2*B[1]*k[2]*s[2]*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-2*B[1]*k[2]*s[1]*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+2*B[1]*k[2]*s[2]*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+2*k[2]*s[1]*B[1]^2*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-2*k[2]*s[2]*B[1]^2*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-2*k[2]*s[2]*B[1]^2*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+2*k[2]*s[1]*B[1]^2*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-4*B[1]*k[2]*s[1]*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+4*B[1]*k[2]*s[2]*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-2*B[1]*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-2*B[1]*k[2]*s[2]*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+32*B[1]*k[2]^4*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+2*k[2]*s[2]*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-2*k[2]*s[1]*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+2*B[1]*k[2]*s[1]*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+3*k[2]^2*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+3*k[2]^2*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-28*k[2]^4*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-28*k[2]^4*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+3*B[1]*k[2]^2*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-3*B[1]*k[2]^2*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+4*B[1]*k[2]^4*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+2*B[1]*k[2]*s[1]*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-2*B[1]*k[2]*s[2]*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+B[1]^2*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+B[1]^2*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-B[1]*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-B[1]*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+4*B[1]*k[2]^4*exp(-(1/2)*t*k[2]+2*t*l[1]+t*l[2]+3*k[2]*x+l[2]*y+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+4*B[1]^2*k[2]^4*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+16*k[2]*s[2]*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-16*k[2]*s[1]*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-8*exp(t*l[1]+t*l[2]+2*k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)-6*k[2]^2*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+56*k[2]^4*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+6*B[1]*k[2]^2*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-8*B[1]*k[2]^4*exp(t*k[2]+2*t*l[2]+2*l[1]*y+2*s[1]*z+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-3*B[1]*k[2]^2*exp((1/2)*t*k[2]+t*l[1]+2*t*l[2]+k[2]*x+l[1]*y+s[1]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))-3*B[1]^2*k[2]^2*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))-3*B[1]^2*k[2]^2*exp(t*l[1]+3*k[2]*x+l[1]*y+2*l[2]*y+s[1]*z+2*s[2]*z-(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+4*B[1]^2*k[2]^4*exp(t*l[2]+k[2]*x+2*l[1]*y+l[2]*y+2*s[1]*z+s[2]*z+(1/2)*t*k[2]+t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2)))/(B[1]*exp(k[2]*x+l[1]*y+l[2]*y+s[1]*z+s[2]*z+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2)+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+exp(t*l[1]+2*k[2]*x+l[2]*y+s[2]*z-(1/2)*t*k[2]+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]-4*s[2]))^(1/2))+exp(t*l[2]+l[1]*y+s[1]*z+(1/2)*t*k[2]+(1/2)*t*(k[2]*(4*k[2]^3-3*k[2]+4*s[1]))^(1/2))+exp(t*l[1]+t*l[2]+x*k[2]))^4

(19)
 

NULL

Download hard_parameters.mw

in a lot of my equation i have such problem and really i don't know how fix this also i try to put : in end and sometime is work and i keep contionues  but sometime not there is any way for solve this problem?

limit.mw

Let us suppose I open Maple, write a worksheet, save it in a folder A and then quit Maple.

Now I run a new session by double clicking on some mw file located in folder B, let us say //B/test_1.mw.
Once opened I do some modifications and decide to save this worksheet into a new file, let us say test_2.mw in the same folder B test_1.mw belongs to (which means I use Save As from the menu bar)

I'm regularly fooled by the fact that the default folder is not B, but the folder A I used in the previous session.

I find this very unpleasant.
Is this a Maple (2015) issue or something related to my operating system (Mac OSX Catalina)?
In case it is a Maple issue which is still present in more recent Maple versions, Would it be possible to set the default backup folder to be the folder to which the active worksheet belongs?

Thanks in advance

It's 2024 and this is still something that doesn't exist? I'd just like to swap the Enter/Shfit+Enter behaviors since I find myself writing a lot of multi-line and custom procs and boy howdy it'd be nice if I could make Maple behave at least the littllest bit like, I dunno, every other product I own and use.

i found solution of PDE but there is some different from my solution and paper solution so there is must be a mistake becuase he solved by maple too he mentioned in the paper i try to figure out but i can't see any mistake from my solution can anyone watch where i did mistake, i change some letter in finding parameter but they are same like p=k&h=A&n=p&w=n

here is paper solution 

parameter-different.mw

I'm calcuating an endomorphism in 2d dimensions. It is contructed out of a tensor contraction, for example, in 6-dimensions, the endomorphism is

K[mu,~nu] = LeviCivita[~alpha,~beta,~gamma,~delta,~upsilon,~nu]*C[alpha,beta,gamma]*C[delta,upsilon,mu]

I appreciate that, in terms of computation, this gets big quickly: it's something like O(exp) in time to sum over repeated indices in each matrix entry. Therefore, I thought, instead of putting the above expression in Define, I could make a matrix with unsummed entries, and then do the sums in parallel using Threads[Map](SumOverRepeatedIndices,...) but looking at my CPU usage and comparing execution times, it doesn't appear that this is working.

Is there any way I can more efficiently calculate these matrix entries?

This isn't the first time that I've seen a question that doesn't seem to have received a comment or answer, but which, when I click on the question title, turns out to have received one.
Here's the opposite phenomenon: a question appears to have two comments or answers, but none of them exist (9:38 GMT+1)

Screen capture from the main page

Screen capture from the question page

In Peter Winkler's book "Mathematical Mind-Benders" the now famous problem of dividing an ice cream cake is posed. It asks: If, when cutting the circular cake with any central angle (whether rational or irrational), neighboring piece after neighboring piece is constantly cut off, the cake segment is rotated to the previous top side, and the cut surface is considered to be healed, then after a finite number of cuts the top side is back where it was at the beginning. I also fell for it at first and assumed that according to Weyl's theorem (uniform distribution modulo 1) this is not possible and therefore the central angle must be rational. I have since found a solution according to which the cutting process must stop after a finite number of steps. Weyl's theorem is obviously not applicable here. Why - I am still puzzling over that.

Now I am interested in whether Maple can be used to animate the uniform distribution modulo 1 on the unit circle and to display the associated statistics in the sense of a sample and calculate the sample value of the uniform distribution. As a Maple beginner, I am not yet able to do this and am asking for help.

I want to calculate Hodge Star of forms on a solvable Lie algebra L, I have defined a metric tensor g on it. But when I use that g to compute the Hodge Star of an operator it tells me that the g is not a metric tensor.

with(DifferentialGeometry);
with(LieAlgebras);
A := Matrix(4, 4, [[A__11, A__12, A__13, A__14], [A__21, -A__11, A__23, A__24], [-A__24, -A__23, -A__11, A__21], [-A__14, -A__13, A__12, A__11]]);
x := [x__1, x__2, x__3, x__4, x__5, x__6];
StructureEquations := [[x[6], x[1]] = a*x[1], [x[6], x[2]] = add(A[1, i]*x[i + 1], i = 1 .. 4), [x[6], x[3]] = add(A[2, i]*x[i + 1], i = 1 .. 4), [x[6], x[4]] = add(A[3, i]*x[i + 1], i = 1 .. 4), [x[6], x[5]] = add(A[4, i]*x[i + 1], i = 1 .. 4)];
L := LieAlgebraData(StructureEquations, [x[1], x[2], x[3], x[4], x[5], x[6]], Alg1);
DGsetup(L);
with(Tensor);
e := [e1, e2, e3, e4, e5, e6];
theta := [theta1, theta2, theta3, theta4, theta5, theta6];
omega := evalDG(add(theta[i] &wedge theta[7 - i], i = 1 .. 3));
g := evalDG(add(theta[i] &t theta[7 - i], i = 1 .. 3));
HodgeStar(g, theta1)

It is showing the following error,

Error, (in DifferentialGeometry:-Tensor:-HodgeStar) expected 1st argument to be a metric tensor. Received: _DG([["tensor", Alg1, [["cov_bas", "cov_bas"], []]], [`...`]])

How can I correct this? If not is there an alternative of doing what I am trying to do?

Is there any function that returns a boolean value that tells me if a point is within a polygon or not?

I tried to contact an author using the menu item more->contact autor.

I got the following back from postmaster@maplesoft.com

The IP-adress 199.71.183.16 (domain maplesoft.com) does not match the IP-adress of my mailprovider.

The authentification of the mailprovider works when I send directly from this mailprovider to gmail accounts.

Is this a known issue when sending via maplesoft.com or only temporary?

Is gmail too restrictive?

I need assistance with building the homotopy analysis method to solve the system of odes. here is the attempt to do it. I'm still new to maple restart; # Declare functions for the system PDEtools[declare]([f(x), g(x)], prime = x): # Order of expansion N := 4; # Define series for each function f1(x) := sum(p^i*f[i](x), i = 0..N): f2(x) := sum(p^i*g[i](x), i = 0..N): # Define the system of ODEs using Homotopy HPMEq1 := (1-p)*(diff(f1(x), x$3)) + p*(diff(f1(x), x) + f2(x)): HPMEq2 := (1-p)*(diff(f2(x), x$3)) + p*(diff(f2(x), x) - f1(x)): # Extract coefficients for the system for i from 0 to N do equl[1][i] := coeff(HPMEq1, p, i) = 0: equl[2][i] := coeff(HPMEq2, p, i) = 0: end do: # Define boundary conditions for the system cond= 0, D(f1[0])(5) = 1]: cond = 0, D(f2[0])(0) 1]: for j from 1 to N do cond = 0, D(f1[j])(0) = 0, D(f1[j])(5) , D(f2[j])(0) = 0, D(f2[j])(5) = 0]: end do: # Solve the system iteratively for each order for k from 0 to N do dsolve([equl[1][k], cond[1][k]], f1[k](x)): dsolve([equl[2][k], cond[2][k]], f2[k](x)): end do:
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