Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Article https://mapleprimes.com/posts/208409-Downloading-Historical-Stock-Quotes has worked well for the last few years.

Somewhere in the last 6 months Yahoo has changed the method. Crumbstore no longer exists within the page source.

Does anyone have a method that currently works.

Problem is also verified at: https://www.solveforum.com/forums/threads/solved-yahoo-finance-cookie-and-crumb-not-working.2316600/ ,however they do not have a solution.

Dear all,

consider two lists of complex values :

list1 := [l1,l2,l3,l4,l5]

list2 := [s1,s2,s3,s4,s5].

There is a set of second order differential equation

d^2u(k)/dt^2+I*A*du/dt-B*u=0

where A is sum of elements of list1 and list2 and B is multiplication of their element. Therefore,

d^2u[1](k)/dt^2+I*(l1+s1)*du[1]/dt-(l1*s1)*u[1]=0

d^2u[2](k)/dt^2+I*(l2+s2)*du[2]/dt-(l2*s2)*u[2]=0

d^2u[3](k)/dt^2+I*(l3+s3)*du[3]/dt-(l3*s3)*u[3]=0

d^2u[4](k)/dt^2+I*(l4+s4)*du[4]/dt-(l4*s4)*u[4]=0

d^2u[5](k)/dt^2+I*(l5+s5)*du[5]/dt-(l5*s5)*u[5]=0

How can I create a set of differential equations and initial conditions based on nops(list1), then solve this system of differential equations numerically in Maple.

since u[i] are function of k, next step is to transforme them to real space by inverse fourier transform.

finally save the results and plot them.

Note that for simplisity I wrote a linear equation but it is not. so, because of nonlinear terms it is not possible to use superposition of the solution. I have to take them as coupled system of equations.

====

for example

list1 := [ [0., -5.496799068*10^(-15)-0.*I], [.1, 5.201897725*10^(-16)-1.188994754*I], [.2, 6.924043163*10^(-17)-4.747763855*I], [.3, 2.297497722*10^(-17)-10.66272177*I], [.4, 1.159126178*10^(-17)-18.96299588*I] ] 

list2 :=[ [0., -8.634351786*10^(-7)-67.81404036*I], [.1, -0.7387644021e-5-67.76491234*I], [.2, -0.1433025271e-4-67.59922295*I], [.3, -0.2231598645e-4-67.25152449*I], [.4, -0.3280855430e-4-66.56357035*I] ]

where first element is k and the second value is l_i and s_i

the differential equation is

ode_u[i]:= diff(u[i](t),t$2)+I*(list1[i][2]+list2[i][2])*diff(u[i](t),t)-list1[1][2]*list2[2][2]*u[i](t)=0;

eta is in fourier space where k values are in list1[i][1].

We laso know that f(-k)= - f*(k) where f=list[i][2]

and u[i] as function of k, initially has a Gaussian shape at t=0 in fourier space..

Thanks in advance for your help

Anyone out there converted the  nyqlog at MATLAB/nyqlog.m at master · nielsSkov/MATLAB · GitHub  to Maple or Maple Flow? For Nyquist plots...

I want to import a numeric 2800*1 matrix from matlab to maple by following command, but faced error as bellow:

X := ImportMatrix("E:/.../Omega.mat", source = MATLAB);
 ImportMatrix:-ModuleApply called with arguments: E:/.../Omega.mat, datatype = auto, delimiter = (), format = (), mode = (), output = all, ragged = true, skiplines = 0, source = MATLAB, sourceid = all, transpose = false
 #(ImportMatrix:-ModuleApply,36): error
Error, (in ImportMatrix) Array index out of range
 locals defined as: file = E:/.../Omega.mat, src = Matlab, ext = ext, res = res, x = x, isv7 = isv7, del = false

Where is the problem?

How to import?

Hello guys
I'm having trouble solving a PDE using pdsolve-numerical. Here's a notebook attached.

I'm grateful if anyone can help.

Regards,

Oliveira

                   PDE1.mw

I would appreciate any help to solve the following Partial Differential Equation, which is a mix of partial and regular derivatives as coefficients.

How to solve it with/without initial conditions?

Let us begin with few simulations: 
 

restart;

CodeTools:-Usage(plots['pointplot3d'](Matrix((proc (_) options operator, arrow; [_[() .. (), 1]-_[() .. (), 3], _[() .. (), 2]-_[() .. (), 4], _[() .. (), 5]] end proc)(convert(ssystem("wolframscript -code \"RandomPoint[Simplex[IdentityMatrix[5]], 2*^4]\"")[-1], FromMma)), scan = [rectangular, columns], datatype = float[4]), scaling = constrained))

memory used=0.57TiB, alloc change=91.51MiB, cpu time=18.77m, real time=15.86m, gc time=4.91m

 

CodeTools:-Usage(plots['pointplot3d'](Matrix((proc (_) options operator, arrow; [_[() .. (), 1]-_[() .. (), 3], _[() .. (), 2]-_[() .. (), 4], _[() .. (), 5]] end proc)(convert(ssystem("wolframscript -code \"RandomPoint[Sphere[5], 2*^4, ConstantArray[List[0, 1], 5]]\"")[-1], FromMma)), scan = columns, datatype = float[4]), scaling = constrained))

memory used=0.56TiB, alloc change=-12.08MiB, cpu time=18.70m, real time=15.11m, gc time=5.69m

 

NULL


 

Download iDistributionVector.mws

Well, I'd like to prove (through the use of Maple): 

transform((x1, x2, x3, x4, x5) -> [x1 - x3, x2 - x4, x5])(inequal(And((x || (1 .. 5)) >=~ 0, norm([x || (1 .. 5)], 1) = 1))) # not Maple syntax

is equivalent to a filled pyramid

ImplicitRegion((X, Y, Z), 0 <= Z <= 1 - abs(X) - abs(Y)) # not SymPy syntax

transform((x1, x2, x3, x4, x5) -> [x1 - x3, x2 - x4, x5])(inequal(And((x || (1 .. 5)) >=~ 0, norm([x || (1 .. 5)], 2) = 1))) # not Maple syntax

is equivalent to a hemi-ball

ImplicitRegion((X, Y, Z), 0 <= Z <= sqrt(1 - X**2 - Y**2)) # not SymPy syntax

, and 

transform((x1, x2, x3, x4, x5) -> [x1 - x3, x2 - x4, x5])(inequal(And((x || (1 .. 5)) >=~ 0, norm([x || (1 .. 5)], 'infinity') = 1))) # not Maple syntax

is equivalent to a solid cuboid

ImplicitRegion((X, Y, Z), -1 <= X <= 1 & -1 <= Y <= 1 & 0 <= Z <= 1) # not SymPy syntax

. (Here, for the convenience of the descriptions, I utilize some non-standard notation from .) 
Note that ”two regions are equal" is a two-way property, which means the following proof 

is(Z >= 0) and is(Z <= 1 - abs(X) - abs(Y)) assuming (X, Y, Z) =~ (x1 - x3, x2 - x4, x5), x || (1 .. 5) >=~ 0, add(x || (1 .. 5)) = 1;
                              true
(*Accordingly, the latter region is a subset of the former one.*) 

is incomplete (because it's hard to determine whether the is routine always performs equivalent transformations in internal evaluation). 

So, can I execute such eliminations in Maple?

As the code:

poly := x^4 + 8*x + 12:
galois(poly, x)

"4T4", {"A(4)"}, "+", 12, {"(1 2 4)", "(2 3 4)"}

 Then I know it's Galois group has to be (isomorphic to) A4. And I can draw its Subgroup Lattice:

DrawSubgroupLattice(GaloisGroup(poly, x), 'indices')

But according to Galois's theory, each subgroup represents an intermediate field. As far as I know, ⑤⑥⑦⑧ are Q(r1),Q(r2),Q(r3) and Q(r4), respectively, where ri is the root of equation x^4+8x+12. But I have no idea what fields ②③④⑨ means. How do you calculate out those intermediate fields with maple?

Dear researchers,

Greetings, I have unable to apply Nonlinear Least-Squares Methods  for an SIR parameter estimation. May you share me your Maple code model as a  sample parameter estimation ?

Thank you in advance!!!

Dear people,

I have resolved the primitives of the equation of the odometric model.

I have plotted them to the Maple interface and I was thinking that it can have been done by the solver.

Nevertheless it has not been possible to do it.

Can you tell me if a package of Maple can resolve it ?

Best regards,

Edern Ollivier.

Hi,

May  I please get a Maple code to solve the below Perturbation Iteration Solutions for Volterra Integral Equations? 

I shall be very much grateful if I can get the Maple Code.

And possible plotting

Thanks

What does the following message imply?

"Error, (in Engine:-Dispatch) invalid boolean expression: 0"

I was introduced to DataFrame by some kind people here the other day and I thought I understood.  Then I tried this

M := DataFrame(<0,0,0;0,1,a;0,a,1>,rows=[0,1,a],columns=[0,1,a])

Now M[1, a] returns 0.  What's going on here? 

Hello guys,

I created a palette, but when I click on an entry, the following occurs:

If the entry line, where the mouse cursor is, is empty, insertion takes place on this line.
If the input line has any expression and the mouse cursor is to the left of the expression, insertion takes place on the line above.

If the input line has any expression and the mouse cursor is to the right of the expression, insertion takes place on the line below.

Does anyone know how to fix this?

Sincerely,

Oliveira

Before answering, Please Note,

Do not suggest I use

maple <filename.maple>

The conversion in maple to convert an ".mw" file in xmaple for a text file to be executed with

maple command

does not work and I therefore need a way to execute and operate a ".mw" workksheet straight in terminal without the need for X.

This is a Linux based question.

I have batches of about 50 maple processes that I run in parallel accross several 32-core and 64-core servers.
I am not using the built in spawning process commands, but rather run a new instance of maple.

Some of these batches need to be developed in xmaple it is just not feasable to do it in a text editor to be executed by "maple"

QUESTION:

Is there any switches in maple that I can run a ".mw" maple file as a terminal operation without starting the interface ?

e.g. how can I run

xmaple <mystery switches> maplefile.mw   such that the interface doesnt load but the file is executed completely in terminal without the need for X.

Thanks

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