Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

We can see a list of functions for a package in the documentation, for example the package GroupTheory:

Is there a code based way to see all the functions in this package?

How  to make the integration 

 

into the following form:



Thanks in advance,Q1.mw

Boundary condition of my problem is   f(0) =1  and  d(f)(1) = -(k[f]/k[nf])*Bi*f(1).

But i am getting error when solve this.How to clear this .

my attached file is,

HNF_1.mw

Dear Users!

I hope everyone is fine here. In the attached file I have solved a partial differential equation using the finite difference method for different mesh in spatial directions (i.e., for different Mx). I want to compute the time and memory to compute the solution against each Mx and want to plot it. Kindly help me how to compute the time and memory for each value of Mx.

TIME.mw

I shall be waiting. Thanks in advance. 

Hello

I would like to compare the digits of two natural numbers p and q first. Then I would like to omit in p and q the digits which they have in common.

Example: p=2345, q=1536

the common digits are 3 and 5. omitted them in both numbers, it will result p'=24 and q'=16.

Thanks for your help!

Here is an example where IntegrationTools:-Combine does not seem capable to combine two integrals whose lower bounds are -infinity (same situation holds where upper bounds equal to +infinity).

Is there a way to Combine(J1) without using the J3 workaround?
Is there any mathematical reason why Combine(J1) does not work or it is due to the way Maple handles infinity?

Thanks in advance.

IntegrationTools_Combine.mw

IsFrobeniusGroup(SmallGroup(20, 3)) will get true, but IsFrobeniusPermGroup(SmallGroup(20, 3)) will get false. What happen? As the documentation, it will get same result:

The two definitions are equivalent in the following sense.  If G is a Frobenius permutation group, then G is Frobenius as an abstract group

I have the following double integral:

In the above integral, r and sigma are the random variables: r is distributed normally with a mean and standard deviation equal to sigma, which is a random variable by itself (k near sigma in integral is a known parameter). Sigma is distributed lognormally, with a known mean and standard deviation. The probability density function of the sigma is defined by fs(sigma) in the above integral. How is it possible to solve this integral in Maple?

Thanks in advance 

I want a maple code to solve the caputo fabrizio differential equations using Runge Kutta method with implicit functions and impulsive conditions in maple. Is there any code structure for that. 

Hello
i am using maple 2023 and the physics package and have the following question:
I want to define a gauge plus coordinate covariant derivative i.e.
assuming i,j,k are SO(3) indices and greek indices describe 4-dim space-time (not necessary flat)
i need the following derivative:

D_sigma F~i ~rho ~lambda = nabla_sigma F~i ~rho ~lambda + epsilon~i~j~k A_j_sigma F_k~rho~lambda
with _ meaning lower indices and ~ upper indices and nabla the convenient coordinate covariant derivative of general relativity.
F is a tensor objekt with 2 space time indices and 1 so(3) indices (e.g. Yang Mills field strength) and A is the so(3)gauge potential
How can i define this Differentialoperator with the physics package.
I.e. i want to work with SO(3) Yang-Mills Fields in curved space time and need this generalized Differentialoperator
thanks for helping
regards Michael

I want to find the formula for seq: 

För example 

{0,4,16,36,64,100,..}

{0,3,6,11,18,27.38,...}

How do i revers i backword fo get arithmetic sequence formula. I now the answare but want to learn how it's done in maple. I tried the app but i was not able to solve it. I have read the help and it looks like you have to use rsolve. Does anyboy has a sample to do not is trail and error. 

restart;

Here we have a pretty well-behaved trig function:

y := t -> 144*cos(t)^6 - 216*cos(t)^4 + 32*cos(t)^3 + 81*cos(t)^2 - 24*cos(t) + 17;

proc (t) options operator, arrow; 144*cos(t)^6-216*cos(t)^4+32*cos(t)^3+81*cos(t)^2-24*cos(t)+17 end proc

plot(y(t), t=0..2*Pi, view=0..35);

Maple 2023 plots y^(3/2) with a strange artifact at t = Pi:

plot(y(t)^(3/2), t=0..2*Pi, view=0..200);

Any reason for that?  Maple 2021 and earlier used to produce the correct plot:

  

Download bug-in-plot.mw

Hi.

why in eq1 some parameters such as beta 1, Q110,... are not placed (They defined before eq1 !!!!)

Thanks

TRASH.mw

When I use IdentifySmallGroup(DihedralGroup(4)), I will get result 8,3. Then I know DihedralGroup(4) is SmallGroup(8, 3) actually. But I will get different result when I use it in IsTransitive:

IsTransitive(DihedralGroup(4), [1, 2, 3, 4])

true

IsTransitive(SmallGroup(8, 3), [1, 2, 3, 4])

false

How to rectify this error.

NF-1.mw

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