The vertex connectivity of a graph  is the minimum number of vertices whose removal disconnects the  
  graph. 

With Maple, it's easy to get the connectivity of a graph, but  I can not  find a smallest vertex cut of 
the graph g by maple. 

 If the graph has some cut vertices, I see that the function ArticulationPoints seems to be able to solve.
 But for general for smallest vertex cut, I don’t see a suitable function.  For example

6

This seems easy to do in Mathematica. See https://reference.wolfram.com/language/ref/FindVertexCut.html.

Every time I open Maple it has the invitation to Login in the top right-hand corner.  I would like to sign in but have had quite a bit of trouble doing that.  I have a user name and password with Maplesoft web store and the same for MaplePrimes.  Should either of these work to log in? 

Download Homework.mw

Hi, i need some help for a homework.

Here is the statement

You must first animate a series of linear transformations on the polygon formed by the following couples: [5, 0], [6., 0], [6, 3], [10, 3], [7, 5], [9, 5], [7, 7], [8, 7], [5.5, 9], [3, 7], [4, 7], [2, 5], [4, 5], [1, 3], [5, 3] It will be necessary to make, at the same time, a rotation around a line making an angle k with the axis of x, a rotation of an angle k and a scaling of variable ratio (but equal to 3 at the end animation). The k animation parameter should range from 0 to 180. I suggest you use the color green for your polygon. Then you will need to create a second animation by entering these command lines: SnowPoints: = seq ([- 30 + i, 30 - j / 2 * sin (i + j)], i = 0 .. 60): snow: = animate (pointplot, [[PointsNeige], color = black], j = 0 .. 60, view = [-30 .. 30, 0 .. 30]) : Finally, you will have to roll both animations at the same time.

The GIF shows the results that I should get according to my teacher

Thanks for the help !

Error occurred running sample test.java (at new EngineCallBackDefault()):

# A fatal error has been detected by the Java Runtime Environment:
#
#  EXCEPTION_ACCESS_VIOLATION (0xc0000005) at pc=0x00007ffd66e7345a, pid=1740, tid=7716
#
# JRE version: Java(TM) SE Runtime Environment (11.0.1+13) (build 11.0.1+13-LTS)
# Java VM: Java HotSpot(TM) 64-Bit Server VM (11.0.1+13-LTS, mixed mode, tiered, compressed oops, g1 gc, windows-amd64)
# Problematic frame:
# C  [maplec.dll+0x345a]
#
# No core dump will be written. Minidumps are not enabled by default on client versions of Windows
#
# If you would like to submit a bug report, please visit:
#   http://bugreport.java.com/bugreport/crash.jsp
# The crash happened outside the Java Virtual Machine in native code.

Dear all

I compute the solution of first order nonlinear ode, supplied to initial condition.

The code is written, the exact solution is derived.

 plot the solution in a small interval like (0,1/5) I see that there is no difference between exact and semi-analytical soluton.

But, If I plot the solution in other interval like (0,1) or (0,2), It is noticed that the semi-analytical solution is different to the exact solution. 
Thansk you in advance for your help 

test3.mw

Apparently a colon within a string causes some issues when generating a XMLElement.

Didn't find anything in Maple Help about that though.

Download xmlns.mw

Good day everyone,

I have problem-solving this system of equations using Iterative Projection Theorem. Anyone with a better explanations please.

The equation is as stated below. 

Solve this set of equations using the iterative projection theorem.

(x₁ - 2)² + (2x₂² - 6)² - 5 = 0

(x₁² - 4)² + (x₂ - 10)² - 39 = 0

Take the provisional values of  x₁ and x₂ as x⁰₁ = 5, x⁰₂ = 4, 

Thank you in anticipation

Good day everyone, please I'm soliciting help on how to solve PDE in Maple. I know how to solve ODE but I don't know how to go about PDE. The problem I want to solve is attached as an attachment. If epsilon is zero, then the problem reduces to ODE which can easily be solved, but epsilon is not supposed to be zero. please I need your help, thank you in anticipation.

PDE.pdf

How to change the distance (spacing) between 2D Input cells and 2D Output cells so that this procedure can be inserted into a style sheet and thus applied to multiple documents?

Regards

Oliveira

Hi Maple Users,

Microsoft is enticing me to upgrade to Windows 11 from 10 for free. I am a bit hesitant because I don't know if Maple 2021 will continue working as well as in Windows 10. Does anyone have any thoughts or wisdom to share.

Thank you.

I want to calculate the effective value of Time Quanta in seconds of electron on 1 S Orbital using a new PDE equation.

 See ElectronFlux.docx and ElectronFlux.pdf for details.

I have 2 variants in ElectronFlux.mw but did not reach the final value in seconds.

The document is constantly changing and uses an equation that, for a distance of a few radii Bohr r_B is equivalent to the Schrodinger equation. We particularized for the 1 S Orbital of Hydrogen atom thus the velocity o the electron is c/137; (V=a*c=c/137);

eq1 := 2*m*(E + ec^2/r)*f(r, t)/h^2 + R*diff(f(r, t), r $ 2)/r - diff(f(r, t), t $ 2)/(a^2*c^2) = 0 with condition:iv1 := f(R, t) = 0, D[1](f)(0, t) = R, f(rb, t) = 0, D[2](g)(rb, t) = a*c;

I am gladly willing to talk with other people about the idea and the calculus to fulfill the effective value that in my opinion should be Tce = rB/C = 1.765*10^-19 sec.

Thanks in advance!

electronFluxT.mw

ElectronFlux.docx

ElectroFluxT.pdf

Hi,

I am generating several random weighted graphs using the following code:

with(GraphTheory):
with(RandomGraphs):
G:=RandomGraph(10,20,connected):
G1:=AssignEdgeWeights(G,5..25):
DrawGraph(G1,showlabels=true,stylesheet=[edgecolor=blue,weightfont = [times,bold,11]])

By default weight labels appear to be positioned at the midpoint of each edge. Is there a way to change that positioning?

Thanks!

have table like table(symmetric, [() = x]) from other code not mine, strange syntax

how to extract x from table thanks

I want to calculate the Noether Symmetries from the Lagrangian. Is there any built-in Maple cammad to  where i just put the lagrangian and get the determining PDEs and calculate the Noether Symmetries?

The timelimit command of Maple can be used to do a computation if it uses less than a given amount of time, otherwise generating an error message that can be cought by try ... catch. Now my question is that there exists any similar command, but with a limitation on memory usage, not the time usage. I don't mean what datalimit in kernelopts can does, because I am not going to limit the memory usage of the whole Maple session, but just a command which may be used inside a larger procedure etc.