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.

How do i get to the 2nd line for a multiple problem? 

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.

I need help on maple code for solving both linear and non linear boudary condition for fractional order partial differential equation 

I cannot solve the equation. The problem is:

we have the integrals (1) and variable (2)
(1) F := (a1, b1) -> int(1/sqrt(1 + (-1)*b1^2*sin(teta)*sin(teta)), teta = 0 .. a1)

(2) Phi(Pi/2, teta) = 2*(F((Pi/2 - teta_l)/2, sqrt(2/(1 - sin(teta_l)))) - F1(Pi/4, sqrt(2/(1 - sin(teta_L)))))/sqrt(sin(teta_l) - 1)

After the solution for variable (2) I received: 

(-InverseJacobiAM(-Pi/4 + teta_l/2, 1/abs(cos(Pi/4 + teta_l/2))) - InverseJacobiAM(Pi/4, 1/abs(cos(Pi/4 + teta_l/2))))^2/(2*(sin(teta_l) - 1))

Next, I have the equation and (by the followed paper) should solve the equation respect to teta_l

M*B*(L/C)^2/G = 1/8*Phi(Pi/2, teta_l)^2

But I received just empty solution. The reference paper 10.1016/j.jmps.2020.104045

Can somebody recommend the way to solve the problem? 

I need to declare a whole set of variables as local. The variable names are generates algorithmically using assign. Like so:

seq(seq(assign(cat(S,i,j)=Vector(datatype=float)),i=1..9),j=1..9);

Stand-alone, this works and creates all these Vectors for later use. But this:

local seq(seq(assign(cat(S,i,j)=Vector(datatype=float)),i=1..9),j=1..9);

does not work; I get an "error; '(' unexpected".

I really do not want to type all these by hand... on the other hand, if I do not declare these as local I get 99 warnings about implicit local declaration; not nice.

Is there a way to do this?

Thanks,

M.D.

PS: I do not upload as the one line really is all that is needed. At the lowest level one does not get the implicit-declaration warning, but with "local" it still fails.

My forced spring mass system is 4x"+4x'+3x=sin(wt). I calculated my w=w* value that maximizes the amplitude (0.5) and my initial conditions are x(0)=x'(0)=0. I need to graph x(t) when w= w* and when w=w*/2. How am I supposed to input this information into maple to create a graph? 

Hi all,
i'm working with the confluent Heun function (Maple 2019).
Since for the case of an integer coefficient delta or gamma there are two integer Frobenius roots at the regular singularities 0 or 1, there is a logarithmic term in the Frobenius solution at these singularities. So, my question is the following:
When moving around this singularity in the complex plane, the value of the logarithmic term might depend on the choice of the complex logarithm's branch cuts. So, does anybody know just about how HeunC is implemented? Is there sth like a power series solution, which value would in my oppinion depend on this choice of a branch cut?
Or is there another implementation that preserves us from this ambiguity in the case of logarithmic singularities (i.e. integer coefficients in the confluent Heun equation)?

Many thanks,

This worksheet creates geodesics in the Poincare disk by transformation of a series of circles of diminishing radii in the complex plane.

The intersections of the geodesics are meant to create the first few pentagonal uniform tilings in the Poincare disk.

I do not know the mathematically correct way to create such a display, so the radii of the circles are only a trial and error approximation.

What Maple code will provide the radii of the complex circles which produce an accurate uniform pentagonal tiling?

Is there a better overall strategy for producing uniform tilings of the Poincare disk? 

HyperbolicTiling.mw