I have numpy matrix say A

I want to print the matrix into a

A.txt.   file  phyton coding

Hi Users!

Hope everyone is fine here. I want to find the values of M and L for any functions f(x,y) and y(x) such that

abs(diff(f, y))       for all a ≤ x ≤ b, -∞ < y < ∞ and

abs(diff(y, x, x, x))   for all a ≤ x ≤ b, -∞ < y < ∞

For example for

f:=y-x^(2)+1; 0 ≤ x ≤ 2, -∞ < y < ∞ and

y:=(x+1)^2-.5*exp(x); 0 ≤ x ≤ 2, -∞ < y < ∞

the values of L = 1 and M = 0.5exp(2)

I want to use python which has some added installtion inside my system in maplesoft itself as code is it possible

It may use networkx package say.

with(Python)

ImportModule("networkx");
Error, (in Python:-ImportModule) unable to start Python: could not create process, C:\Program Files\Maple 2020\bin.X86_64_WINDOWS\mpython

Use Maple to find all quintic polynomials f(x) such that f(1) = 2, f(2) = 3, f(3) = 4, f(4) = 6, f(5) = 10. Is there a cubic polynomial satisfying the conditions? If so, give this polynomial.

Use the bisection method in a while loop to estimate the root of f = (x − 1/9)(x − 2)(x − 3) which lies between 0 and 1 to an accuracy of 10^−4 .  

with(plots);
a := -Pi;
b := Pi;
implicitplot3d(1/2*(sin(2*x)*cos(y)*sin(z) + sin(2*y)*cos(z)*sin(x) + sin(2*z)*cos(x)*sin(y)) - 1/2*(cos(2*x)*cos(2*y) + cos(2*y)*cos(2*z) + cos(2*z)*cos(2*x)) + 0.15 = 0, x = a .. b, y = a .. b, z = 1/2*a .. 3/2*b, grid = [70, 70, 70], style = patchnogrid, shading = xy, lightmodel = light2);
 

Hi! Is it possible to get more clear mesh plot when the grid is such large? 

to make this image I have just defined

f := (x, y) -> piecewise(y <> 0, 2*arctan((sqrt(y^2 + x^2) - x)/y), 0 < x and y = 0, 0, x < 0 and y = 0, Pi, x = 0 and y = 0, undefinied)

contourplot(f(x, y), x = -1 .. 1, y = -Pi .. Pi, color = black, numpoints = 10000);

ofc I could define z:=x+I*y and take

contourplot(argument(z), x = -1 .. 1, y = -Pi .. Pi, color = black, numpoints = 10000);

but I don't know how to delete this "tail" , I want to show only the ray (I thought that definition of argument in MAPLE is problematic so I redefined it but it doesn't matter)

I need this to create phase portrait and make better visualisation for complex function in MAPLE, so I would like to make and argument of function as two variable function which is modified such that this "tail" disappeared, thanks in advance

Hi.

I experience "broken links" in Maple. That is when I've used the the search field Alt+S or visited the help pages, very often thereafter I have to restart Maple in order to use e.g. the Help again, a task or whatever is essentially a link. Is this a known problem in Maple and if what do I do remedy it.
Thanks in advance.

Instead of the nice output from the help, I get the following message:

I asked before how to determine whether a graph is  outerplanar graph.  vv  and  Carl Love  provided very good guidance. 

https://www.mapleprimes.com/questions/229128--How-To-Determine-If-A-Graph-Is-Outerplanar

 Today I tried to use the previous code to further determine whether a plane graph is maximal outerplanar graph.

A maximal outerplanar graph is an outerplanar graph that cannot have any additional edges added to it while preserving outerplanarity.

I feel that the  above adding edges in programs is a bit inefficient.

So I wonder if there is a better way.  Then I want to start from property of this graph class.

Some Properties:

1. Every maximal outerplanar graph with n vertices has exactly 2n − 3 edges.
2. A graph on  n (>=3) vertices  is  maximal outerplanar graph  if and if  every bounded face of a maximal outerplanar graph is a triangle and boundary of  unbounded face  is  Hamiltonian cycle. 

I noticed the second one. I don’t know if it can be achieved through programming. 

I want to get some information about the degree sequence of the face with the help of the dual graph . But I know  dual graph not unique   since  there are different plane embeddings  for not 3 connected  planar graphs. 

Or is there a more efficient way？

Is it possible to auto close brackets in Maple? Like when I type "sin(pi" it would automatically create a closing bracket and I could just press enter to calculate

Any good online training for maple soft to purchase 

How to solve this differential equation numerically

Comparing the following 2 outputs, all done using worksheet mode. They are same expression. But one is generated using assignment and one using function definition (with arrow).

restart;
expr:=sinh(Pi)/Pi*(1+  Sum( (-1)^n/(1+n^2)*(cos(n*x)+n*sin(n*x)),n=1..m)):
f1:=expr;
f2:=unapply(expr,x);

Why Maple 2D display shows small dot for multiplication in the second case, but not in the first? Is there a way to remove this dot? I do not like it and find it distracting.  I looked at options->display and see nothing there to affect this.

Maple 2021 on windows 10

I run Maple on two different computers each with 2 4k monitors running Windows 10 Pro.  Everything appears to work fine on one computer but on the other one, the display gets corrupted when moving the mouse under certain conditions.  I have eliminated the mouse and the video card as the problem because the same problem occurs after replacing them with other manufacturers components.  I have a document that generates a few plots that I can run from both computers.  At first all seems fine and the mouse can be moved across the display and plots without corruption.  But as soon as I try to enable any "Probe Info" via right clicking a plot or from the side pane when the plot is selected, moving the mouse over the plot will cause a continuous corruption that continuous to change as I move the mouse.  The only way I have found to recover from this is to close Maple and resart it.

It appears the problem has to do with redrawing the display after the mouse moves.  Below is an example:

Has anyone experienced this?

Thank you, David