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Ahmed111

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These are questions asked by Ahmed111

How to find sgn on maple?...

Ahmed111 130 Maple 18
signum
October 15 2020
0 0

How to find sgn on maple?

signum.mw

How to integrate the expression when x i...

Ahmed111 130 Maple 18
integration
September 24 2020
1 2

How to evaluate the integration when x=[-infinity , +infinity]?

integration_24sep.mw

How to simplify this?...

Ahmed111 130 Maple 18
integration dilog
August 13 2020
1 0

xE.mw

I integrate the expression maple but the result is large. How to furtherxE.mw reduce the size of the result? Also, what is dilog on maple?

How to calculate this?...

Ahmed111 130 Maple 18
norm simplification
August 11 2020
1 2

u=a-(4*i*b)*(a*sinh(c)-2*i*b)/(a+2*i*b*sinh(c)), where b is a complex parameter, a is a real constant and, c=\sqrt(a^2-4*b^2)*(x+t/(2*b^2)), then how to calculate |u|^{2} on maple?

Why Maple is not plotting the solution?...

Ahmed111 130 Maple 18
substitution plot3d rhs
May 29 2020
2 0


 

> 

restart;
> 

with(PDEtools):
> 

with(plot):

Error, invalid input: with expects its 1st argument, pname, to be of type {`module`, package}, but received plot

  
> 

A1:=Matrix([[phi,(chi),conjugate(phi),conjugate(chi)],
          [chi,(phi),conjugate(chi),conjugate(phi)],
          [lambda*phi,-(lambda)*(chi),
           conjugate(lambda)*conjugate(phi),-conjugate(lambda)*conjugate(chi)],
          [lambda*chi,-(lambda)*(phi),
           conjugate(lambda)*conjugate(chi),-conjugate(lambda)*conjugate(phi)]]);

A1 := Matrix(4, 4, {(1, 1) = phi, (1, 2) = chi, (1, 3) = conjugate(phi), (1, 4) = conjugate(chi), (2, 1) = chi, (2, 2) = phi, (2, 3) = conjugate(chi), (2, 4) = conjugate(phi), (3, 1) = lambda*phi, (3, 2) = -lambda*chi, (3, 3) = conjugate(lambda)*conjugate(phi), (3, 4) = -conjugate(lambda)*conjugate(chi), (4, 1) = lambda*chi, (4, 2) = -lambda*phi, (4, 3) = conjugate(lambda)*conjugate(chi), (4, 4) = -conjugate(lambda)*conjugate(phi)})

 (1)
> 

d1 := LinearAlgebra:-Determinant(A1):
> 

d1; length(%);

conjugate(lambda)^2*conjugate(phi)^2*chi^2-conjugate(lambda)^2*conjugate(phi)^2*phi^2-conjugate(lambda)^2*conjugate(chi)^2*chi^2+conjugate(lambda)^2*conjugate(chi)^2*phi^2+2*conjugate(lambda)*conjugate(phi)^2*chi^2*lambda+2*conjugate(lambda)*conjugate(phi)^2*lambda*phi^2-8*conjugate(lambda)*conjugate(phi)*conjugate(chi)*chi*lambda*phi+2*conjugate(lambda)*conjugate(chi)^2*chi^2*lambda+2*conjugate(lambda)*conjugate(chi)^2*lambda*phi^2+conjugate(phi)^2*chi^2*lambda^2-conjugate(phi)^2*lambda^2*phi^2-conjugate(chi)^2*chi^2*lambda^2+conjugate(chi)^2*lambda^2*phi^2

  

705

 (2)
> 

den:=simplify(d1,size); length(%);

-(-(conjugate(chi)-conjugate(phi))*(chi+phi)*conjugate(lambda)+lambda*(conjugate(chi)+conjugate(phi))*(chi-phi))*(-(conjugate(chi)+conjugate(phi))*(chi-phi)*conjugate(lambda)+lambda*(conjugate(chi)-conjugate(phi))*(chi+phi))

  

333

 (3)
> 

 

> 

con1:=phi=exp(I*lambda*(x-t/(4*lambda^2)-w^2)):con2:=chi=exp(-I*lambda*(x-t/(4*lambda^2)-w^2)):
> 

 

> 

den1:=simplify(dsubs({con1,con2},den));

4*conjugate(lambda)^2*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2-4*conjugate(lambda)^2*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2+8*conjugate(lambda)*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*lambda+8*conjugate(lambda)*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*lambda+4*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*lambda^2-4*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*lambda^2-16*conjugate(lambda)*lambda

 (4)
> 

plot3d(subs(Re(lambda)=1, Im(lambda)=.2, w=1, rhs(den1)),x=-6..6, t=-6..6)

Warning, inserted missing semicolon at end of statement

  

Error, invalid input: rhs received 4*conjugate(lambda)^2*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2-4*conjugate(lambda)^2*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2+8*conjugate(lambda)*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*lambda+8*conjugate(lambda)*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*lambda+4*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*...

  
> 

NULL
> 

``

 

``


 

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