Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I really want to use if condition inside of eval and sum, example as below:

sum(eval(y=x^(j),(if j=1 then x=2 else x=3 fi)),j=1..2)

The reason is: the value of x to be evaluated depends on the value of j which differs inside of the sum (in the context of B-spline functions).

Any lights? Thanks,

i tried to solve a nonlinear ode with numerical method but maple can't solve it and this error occur:

Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging

my maple codes are attached below:

numeriacal_sol.mw

can any help me?

Hi everybody,

I face the following problem :
I develop a Maple simulation code with its own maplets-based interface, and I would like to draw up an "execution report" that presents many informations in a smart and synthetic way :

  1. a summary of the data the user provided through the interface (numerical values, files, ...)
  2. the results of some preliminary operations (ie. the construction of the equations to solve)
  3. some plots of the numerical solution (typically of an ode system)

This execution report should mix texts, plots, charts, ...
At least, I would like the report to be written in LaTeX.

I use to use the software R which provides some facilities to build reports of this kind  (packages knitr or Sweave for those who would know) , and I am wondering if there exists something comparable in Maple ?
Could the DocumentTools package (I know by name only) help me ?
 
More generally, if you were faced with such a problem, how would you deal with it?

As always any suggestion or advice will be greatly appreciated

Thanks in advance

Hello,
I need to formulate the follow relationship in proper math symbols:

Differential in A (last days value minus today's) has a tendency to reach the Differential in B (today's)

I though this could be expressed with

AΔ -> BΔ

BUt I guess there are more elegant and mathematically correct ways to do this in Maple?

thank you!
Dave

Lets say you a country where the official government debt (not adjusted for who owns the debt) is 30% of GDP. The official government debt consist of 50% government bonds and the central banks owns 40% of these government bonds. Since the government finance the centralbank we have to adjust the official government debt and remove the 40% of the government bonds that the centralbank own to get the real government debt expresed as % of GDP. In my initial calculation I simply did like this:

Real government debt expressed as % of GDP = 0.3*(1-0.4) =18%

However, that such number does not take into consideration that the official government debt is only made up of 50% government bonds. I tried to play around with different types of equations but I found none that makes any logical sense and provides me with a reasonable number. I would expect the real government debt to around 23% of GDP. This might be a simple question but I must admit I am stuck and I am not making any progress.  Any help would be appreciated.

 

I am very pleased to announce a new user community centered around Maplesoft's online testing and assessment and courseware products. The new site is specifically for instructors and administrators currently using Maple T.A. or Möbius. This community of users are a small, specialised group who we want to bring together so they can share ideas and best practices. To find the community, go to either mapletacommunity.com or mobiuscommunity.com.

"The Maple T.A. Community has grown organically to support new developers as they pool their knowledge and queries. This has resulted in a fluid searchable structure, with answers available for all levels of question - from beginner to pushing the frontiers of what Maple T.A. has been designed to do. Our summer student interns rely on the Community as they become proficient in their question writing skills - and many have become contributors as they realise that they are in a position to teach others. Opening it out more broadly will be great in sharing good practice on a 'need to know now' basis.”

----Professor Nicola Wilkin, University of Birmingham

 

What content is in the community?

The community has many posts from active Maple T.A. and Möbius users from beginners to advanced users. The site is broken down into categories like 'Best Practices' - longer form posts that cover a broader concept in more detail and 'Quick Code snippets' that are small piece of code that you can drop straight into your question algorithms.

Much of the content is openly available and can be found by google, however there is additional content that can only be accessed by members of the community, such as the Maple T.A. school material which teaches you how to author content in Maple T.A. and Möbius.

 

Who runs the community

The community is jointly run by users based at the University of Birmingham, TU Wien, The University of Turin and TU Delft.

 

How does this fit into Mapleprimes?

It began as an offshoot of a private, internal customer forum. As this community grows, the ultimate goal is to eventually roll it into MaplePrimes proper. But this alternative site gave us the quickest way to get up and running. Maple T.A. and Möbius questions and posts are still welcome on MaplePrimes, and will continue to be monitored by Maplesoft.

 

How do I access the community?

You can find the community by going to either mapletacommunity.com or mobiuscommunity.com.

 

Where else can I get support for Maple T.A. and Mobiüs?

Official support for Maple T.A. and Möbius is provided by the wonderful Customer Success Team at Maplesoft. You can contact them at help@maplesoft.com. For other contact methods see www.maplesoft.com/support/.

 

As I understand it, Maple will detect and use the available cores in a system, if the calculation is suitable for multi-core use.

As I am installing Maple on a multi-user cluster, using a scheduler to run maple scripts, I want to ensure the maple jobs only use the number of cores allocated to the job.  

Is it possible to set the number of cores used ? 

If I have misunderstood how Maple works (I am new to it), or if there is a section in the documentation which explains this, please point me in the right direction.  I haven't found this info so far.

Hi

I have the transition matrix used in Markov chain

A := Matrix([[alpha, beta, gamma], [delta, epsilon, zeta], [eta, theta, mu]])

I would like to write a system of equations that can be solved  to get a Markov chain  irreducible and aperiodic

All the entries of the transition matrix are in the interval [0,1)

 

Many tanks for any help

if I use the command below, I will get the right answer.

`assuming`([simplify((2*I)*deltas*Pi*BW*Ei(1, (2*I)*deltas*Pi*BW)-(2*I)*deltas*Pi*BW*Ei(1, -(2*I)*deltas*Pi*BW))], [real, BW > 0, deltas > 0, ts > 0, deltas <= ts, 2*BW*ts >= 1])

and the answer is :

2*BW*Pi*deltas*(Pi-2*Si(2*BW*Pi*deltas))

while I use the same command for the compliacated Ei function, it doesn't work any more, I don't know the reason.

 `assuming`([simplify(Ei(1, I*BW*Pi*deltas-(5*I)*BW*Pi*ts)-Ei(1, -I*BW*Pi*deltas+(5*I)*BW*Pi*ts), Ei)], [real, BW > 0, deltas > 0, ts > 0, deltas <= ts, 2*BW*ts >= 1])

 and it's reault is :

Ei(1,I*BW*Pi*deltas-5*I*BW*Pi*ts)-Ei(1,-I*BW*Pi*deltas+5*I*BW*Pi*ts)

 

I am looking for a nice algorithm to determine if a polynomial is expressible as an ALGEBRAIC combination of a list of other polynomials. I have written my own for LINEAR combinations, but cannot quite generalize this method.

 

Any help would be greatly appreciated.

Hello, I am trying to plot an expression for my General Relativity class, this expression is one of the expanding universe FLRW solutions to the Einstein field equations and contains an unknown functions.

sqrt(S(t))*sqrt(1+S(t))-arcsinh(sqrt(S(t))) = t

My question is how do I get maple to plot this?

Thank you

i use

A -> B

B -> C

would like to find A -> C directly from A -> B and B -> C

but logic table show that AND(A->B, B->C) is not equal to A -> C

and (A->B) -> (B->C) is not equal to A -> C too

which logic operations can do this?

because do not want to use result to verify and because i do not know the result in the beginning

I could keep on using the commands 

with(GraphTheory):

with(RandomGraphs):

DrawGraph(RandomTree(7))

but then this is not helpful because I do not get non-isomorphic graph each time and there are repetitions. So any other suggestions would be very helpful. 

I assigned the greek alphabet pi=0.45 in Maple but it displayed an error message since it is already a known constant 3.142. Please how can I assign pi to 0.45 in Maple ?

for example

func1 := proc(system1)

for i from 1 to 100 do

solve([system1[1], system1[2]],[x,y]);

od:

end proc:

 

func1([diff(y,t) = data[i+t+1], diff(x,t) = data[i+t+1]])

i is depend on the for loop inside a function, but woud like to pass this system into a function with i

this will cause error

how to write better for passing a system as parameter using variable inside a function?

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