## Conversion of barycentric coordinates into cartesi...

How to convert barycentric coordinates to cartesian ? Thank you

## I want to try plot a conformal map...

Hello!

I just want to try plot a conformal map for better understanding how it works.

For example, I want to plot a conformal map, so I do this:

It works fine. But if I want to map more complecated region, I have lot's of problem. Could you help me please.

For example:

restart;
assume(y, real);
assume(x, real);
f := z -> I + z*exp(1/4*I*Pi);
w := f(x + y*I);
u := Re(w);
v := Im(w);
A := array(1 .. 2);
A[1] := plots:-conformal(z, z = 0 .. 1 + I/2, grid = [16, 16], numxy = [16, 16], scaling = constrained);
A[2] := plots:-conformal(f(z), z = 0 .. 1 + I/2, grid = [16, 16], numxy = [16, 16], scaling = constrained);
plots:-display(A);

how to map a triangle [0,0], [1,0], [0,i] or half-plane Im z> 1, excluding the circle | z - 2i | <= 1.

Thank you!

## How to approximate a convoluted but very smooth fu...

I want to approximate a positive function that is decreasing in Gamma, say f(Gamma), that is very complicated yet very smooth. I need this in order to obtain a tractable and compact version of its derivative, which enters in the partial derivative of another (very simple) function.

Along the way, three related questions emerge: Derivatives_and_Approximations.mw

Thanks a lot!

## the right triangular prism ?...

Hi,

I am attempting to illustrate various solids in Maple. How can I do this with ? (Figure 3 on my worksheet). Thank you

S5SolidQ.mw

## Expression manipulation...

Is there a way to manipulate an equation so that it is in the form of (Expression of Primary Variables)*(Expression of Secondary Variables)
In the example below from Video 1: Fast Analytical Techniques for Electrical and Electronic Circuits (youtube.com), the primary variables are R1 and R2

PS. When I type ctrl-v to insert an image, I always get 2 copies.

## Proportional symbol ...

I got the proportional symbol to work once, typing "proportional" + CRTL + Space.  Went for wlak came back and could not get it to work at all.

Does it actually work or am I imagining things?

## Number of elements returned in SearchTextAll...

What's the correct command to return the number of elements in this command? It returns an expression sequence, but I didn't manage to get anything useful in return.

StringTools:-SearchAll("aba", "abababababababababab")

## Using pdsolve to find a potential function, with c...

Greetings All,

This is an application for control theory, specifially using Maple to solve control problems in the area of Interconnection and Damping Assignment Passivity Based Control (IDA-PBC).

- Assuming two variables (iL and Vo), there is a potential function that I am trying to solve for called "Ha".  I have two equations here, and I want to solve for Ha using the pdsolve() command:

eq1 := diff(Ha(iL, Vo), iL) = rhs(result[1]);
eq2 := diff(Ha(iL, Vo), Vo) = rhs(result[2]);
pdsolve( {eq1, eq2  } );

Once I do this, Maple gives me an expression for Ha that has arbitrary functions in it (I understand where these are coming from).  So far, so good.

--> In order to get help solving for these arbitrary functions, I also want to tell Maple some constraints.  For example:

"the Hessian matrix of Ha must be positive definite"

Is there a way to do this?

## Difficulty with Transpose...

with(geometry);
with(LinearAlgebra);
xA := 1;
yA := 0;
xB := 0;
yB := 0;
xC := 0;
yC := 1;
Mat := Matrix(3, 3, [xA, xB, xC, yA, yB, yC, 1, 1, 1]);
Miv := MatrixInverse(Mat);
phi := (x, y) -> Transpose(Multiphy(Miv), <x, y, 1>);
for i to 6 do
B || i := phi(xA || i, yA || i);
end do;
Error, (in LinearAlgebra:-Transpose) invalid input: too many and/or wrong type of arguments passed to LinearAlgebra:-Transpose; first unused argument is Vector(3, {(1) = xA1, (2) = yA1, (3) = 1})
How to correct this error ? Thank you.

## Error, (in dsolve) numeric exception: division by ...

First, I should mention that I am new to Maple. When I try to solve the below system of ODEs

sys_ode := diff(x(t), t) = -x(t)^2/(4*Pi*y(t)*(x(t)^2 + y(t)^2)), diff(y(t), t) = y(t)^2/(4*Pi*x(t)*(x(t)^2 + y(t)^2))

with initial conditions of

ics := x(0) = 1, y(0) = 1

using the command

sol_analytic := dsolve([sys_ode, ics])

I receive the below error of

Error, (in dsolve) numeric exception: division by zero

Any help or guidance to resolve this is greatly appreciated.

## How to obtain the Smith normal form of an integer ...

Certainly a standard question.

I have an integer n*n matrix A (the entries are explicitly integers; there is no variable -type x- in the matrix). I want the Smith normal form of A, that is A=UDV where U,V are integer matrices with determinant +-1 and D is a diagonal matrix with -eventually- some zero and positive integers d_i s.t. d_i divides d_{i+1}.

"SmithForm()" doesn't work directly (I get rational -non integer- matrices). Maybe it is necessary to declare the matrix A as 'Matrix(integer)' ...

## How to: Define parameters -> Run script -> output ...

Hello,

In my the script a determinant of a matrix is set equal to 0 and then solved for. This formula has infinite solutions. So i will find the second root with: Student:-Calculus1:-Roots(Y, N = 0 .. limit, numeric) . This gives me several solutions and then i pick the second one as this is the critical buckling load of the column with the current parameters.

Everytime i change a parameter i need to rerun a part of the script. I would like to generate a table where i define lets say parameter A and B and then run the script to give me value Ncr. then repeat this a 100 times with diferent parameters to see the influence of the parameters.

Ive been looking around but i am not able to figure this one out. I think something like this should be possible? Thank you very much in advance!

 A B Ncr 0,1 0,1 0,1 0,5 0,1 1 0,5 0,1 0,5 0,5 0,5 1 1 0,1 1 0,5 1 1

## macOS Sonoma workaround...

Has anybody been able to get Maple working on macOS Sonoma 14.4. I know it's not supported yet, but I thought there might be someone who has solved the issue with the app crashing immediately after startup.

## Overload Procedures with default values and mixed ...

The overloaded  procedure here test returns based on 2 lists or 3 lists entered. The two list has a mixed input type with a default value. The default value of "a" can cause a problem if an explicit value in not entered for "a" in foo1. I not sure is the mixed input type is adding to the problem.
By changing the order of the procedures the problem is avoidable here. But this just a simple example. When there are 6 or so procedures it can be very difficult to select a correct ordering.

Is there a way around this, apart from don't have default values?

I could experiment with changing the input order in each proc but that would break up some logical input sequences on me.

 > restart
 >
 > foo:=overload([                         proc(P1::list,P2::list,a::algebraic:=4,\$)                          option overload;                          print("2 lists");                           end proc,                        proc(P1::list,P2::list,P3::list,\$)                          option overload;                          print("3 lists");                           end proc                        ]);
 (1)
 > foo([1,2],[3,4])
 (2)
 > foo([1,2],[3,4],[4,7])
 (3)
 >
 >
 >
 > foo1:=overload([                                                 proc(P1::list,P2::list,P3::list,\$)                          option overload;                          print("3 lists");                           end proc,                         proc(P1::list,P2::list,a::algebraic:=4,\$)                          option overload;                          print("2 lists");                           end proc                        ]);
 (4)
 > foo1([1,2],[3,4]); #incorrect output
 (5)
 > foo1([1,2],[3,4],4)
 (6)
 > foo1([1,2],[3,4],[4,7])
 (7)
 >