I try to simplify the expression by putting exponential function into equation but the maple shows error which I can't fix it.simplification.mw

Hi,

I am trying to use Maple to solve a PDE involving composite functions.  How do I program this?  Here is an attached file describing what I am trying to do.

Partial_Differential_Equations_of_Composite_Functions.mw

Hi I was trying to difine a constant c that exists in range(0,d). The constant c has two values and is depends on its x location.  The first value "a"  has a duration "e" , the second value "b" has a duiration "f". Start from x =0, the constant c has value "a", then "b", then "a"......

 How should I define this constant in "piecewise"?

I have the following example.

> A:= Vector(3,symbol=v)

A:= 

>v[1]:= 5

v[1]:=5

> A

Is there any way such that v[1] is actually referring to the first element in the vector? In other words, changing v[1] actually modifies the vector A.

If the question does not make sense, then here is the actual scenario that I faced.

I need to solve a system of equations in the form of 

where a[i], c[i] refers to the entries in the vector.

solve returns the following:

I then did an assign(%). However, the entries in A and C are not changed. I want the answer returned by solve to be properly applied to the entries of the vectors.

I have been trying to integrate the following an expression using Maple's command PathInt:

PathInt(4*x*y*(y^4+2*x*y-2)/sqrt((1-(2*x*y)^2+(-3*y^2+1)^2)*(1+(y^2-1)^2)), [x, y] = Path(`<,>`(-(1+sqrt(2))*cos(t)-(sqrt(2)-1)*sin(t), cos(t)-sin(t)), t = 0 .. 2*Pi)).

However, Maple does not return a result, but rather an integral. Is there an alternative way to solve the integral above?

Thanks in advance.

A user wondered why an example of integration by parts from the Calculus Study Guide was immediately showing the final answer instead of the parts steps shown in the Guide. 

We suggest users pay special attention to the "Initialize" rows of the Guide example(s) where converting the integral to inert form is discussed. 

Using an inert form of the integral ensures that Maple does not evaluate the integral unexpectedly. 

Download CSGG-6-1-4.mw

However, I wish my b(x) to be x^2 + x + 1. How could I do it?

 I have the following code snippet.

It is surprising to me that using a package actually changes the behaviour of functions not in the package!

Is this a bug or a feature that I am not aware of?

Hi I am trying to plot in maple but the plot I get is not the one I expect I have attached the maple file and the expected image below. Any help would be appreciated. 

Hi there,

Is there an easy way to redefine the Dgamma matrices in the Physics package without creating a custom function? I would like to use a form as shown below.

with i running from 1 to 3, i.e. specifying space coordinates and sigma_i being a 2x2 Pauli matrix. The zeroes are 2x2 zero matrices.

where I is a 2x2 identity matrix and again the zeroes are 2z2 zero matrices.

Thanks!

After simplifying an expression, I get different numerical results. The first one (9717.251005) should be correct. The simplification also seems correct.

Why do I get a wrong evaluation result after simplification? Is this a numerical problem?

I'm using Maple 2021 and this my code:

Applications to develop exercises on systems of equations using the technique of determinants, Gauss and Crammer. For science and engineering students. In spanish.

Determinantes_Gauss_Crammer.mw

Lenin Araujo

Ambassador of Maple

I have a function which describes the complex reflection coefficient of a structure with respect to frequency.  One or more variables may control the function, and I want to find the set of variables which yield the lowest maxima in frequency response, over a given range of frequencies.

For a simple example relying only on a single variable "Z", it would be something like this:

NLPSolve(

NLPSolve(abs(Gamma),f=f1..f2,maximize),

Z=Z[1]..Z[N],

initialpoint = [Z=Z[2]]

);

I suspect I am having two problems with the above:

1.  Without some numeric starting point for Z, the nested NLPSolve(Gamma,f=f1..f2,maximize), Gamma is failing to resolve to a maxima in the range f = f1..f2.  Testing NLPSolve(subs(Z=1,abs(Gamma)),f=0..1,maximize); works just fine, but not without fixing Z to some undesired point.

2.  Maple seems to be unhappy about the inclusion of abs(), stating "abs is not differentiable at non-real arguments".  However, a test of another simpler complex function did not bring about the same complaint, so perhaps this is a misleading error due to the poor structure of my command.

Help!

Thank you.

The uploaded worksheet attempts to determine arc lengths of an ellipse by two methods. Why do their results differ?

ArcLength_of_Ellipse.mw