1. Take a group for example. First we can set up a group G by

G:=<<a,b>|<a²=1,b³=1,(a.b)²=1>>. Actually,G=S₃. So how to simplify a long production,

such as "a.b.b.a.b.b.a.b"?

2. How to define a finitely presented algebra over some field, such as the enveloping algebra

or quantum group of a Lie algebra? And moreover how to do the similar computation about 

simplifying a long production?

Hi!

For my lecture advanced dynamics, I got the question to make a sketch of the coordinate system and the particle’s motion, with the following position vector:

r(t) = (a cos(ωt))i + (b sin(ωt))j + (ct)k

In this function, ω is in [rad/s], a and b are in [m], t in [s] and c is [m/s].

I have no idea what this should look like, and I was thinking about plotting this with Maple, but thus far I'm not succeeding in plotting it. Which function or method can I use to visualize this in Maple?

Thanks a lot!

I need to find all combinations of a binary list of length 3.  For example: [0,0,0] , [1,0,0] , [0,1,0] , [0,0,1] , [1,1,0] , [1,0,1] , [0,1,1], [1,1,1].  Does anyone have a procedure or can write a loop that does this?

I am trying to use Maple 18 to do some computations with matrices over a ring of polynomials in one variable over the integers $\mathbb{Z}[x]$, or the corresponding field of fractions $\mathbb{Q}(x)$.

The matrices in question are of dimension approximately 5000 and are sparse. The algorithm requires at least as many matrix multiplications as the dimension of the space.

Doing some small examples, of dimension 674, with a laptop (i7-3520 M CPU @2.9GHz with 8GB of Ram) gave the following disappointing result:

time(LinearAlgebra[MatrixMatrixMultiply](A,A);

34.694

When a colleague with access to a Mathematica license performed an identical calculation using sparse matrices in Mathematica, we found that Mathematica performed the calcuation in fractions of a second.

In small dimensional examples, constructing the matrices over the field of fractions as sparse in Maple 18 resulted in a four fold decrease in the already disappointing performance of the LinearAlgebra package in Maple 18.

Is there any way to improve the computational performance of Maple 18 for symbolic linear algebra? Alternatively, is the performance of Maple 2015 for symbolic linear algebra noticably better than Maple 18?

Thanks in advance.

Dave

Hello everybody

In the attached file, I tried to solve the system of equations and obtain the parametric solution for my unknowns that are A1, A2, A3, A4, A5, A6, A7 and A8. I have 8 equations and 8 unknowns. The other variables are all known and parametric. I thought Maple could solve these system of equations easily but when I ran the program and waited for about 2 hours, unfortunately it returned no answer and it was in evaluating mode and I closed the program forcely. Does my file have any problem or Maple cannot solve these system of equations.

Thanks in advance

SOE.mw

The black point correction for xyY to sRGB was incorrect in my original post. It should be done the same ways as for xyY to aRGB which was correct. Hope nobody was inconvenienced. 

I would be curious if others have found a more elegant way to index through an Array to perform an operation on a set of vectors. I had to use the single quote to get the operation performed first and the index increment second.

Corrections to the original version of theis document;
• Make the scaling for a nonzero black point the same for all RGB color spaces.
• Clip negative RGB values to zero.
• Remove the redundant Array container from matrix multiplications.
Use map in place of the $ to apply a function to each element of an Array.

Pixel_Conversion_B.mw

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

For the life of me I can not get maple to plot this equation.  I have poured over various resources and it simply isn't working.  I have gone so far as to use SIMPLIFY and even  Re(circuitSix) and Im(circuitSix) yet still get only errors.  Any insight would be appreciated.

Hi everyone,

I would like to create an eBook with the pakage "eBookTools", but I have got several errors if in my mw document there is a table. The same error came out if I try to compile a book with the sample documents ("GettingStartedWithMaple.mw"). Anyone knows a solution?

Thank you for your time

Giorgio

hi every one..

how i solve numerically  couple equations which attached below .in solve this equation we must  starting from a very small value of V(voltage) with initial guesses for x1 and x3

near zero and using find root method.it is noted that  the solution at this voltage step are used as initial guesses

for the next voltage step, and the process is repeated..

thanks

2DOF.mw

hi.please see attached file and explain how i remove error

thanks alot

error3.mw

and

and

Hello guys, I have a question. Is there any possibility to calculate two or more procedures at same time in the maple18 ?. I m thinking about using of the Grid or threads tools.

My problem is:

Given two functions/ procedures, f₁(x,y) and f₂(x,y). I need make an parallel computation of f1 and f2 and after i need get

f₃ = f₁+f₂.

I am very grateful for the help.

Hi,

 I am using a very basic function in Statistics package as below and get error. 

X := RandomVariable(Normal(a, b));

I would like integrate and plot the following double integral:

I enclosed tryingdf.mw

  restart: with(plots):
  H := a -> piecewise(a>=0,1):
  f1 := y->(H(y-1*Pi)-H(y-2*Pi))*sin(y)^2:

  g1:=(f1(y)/sqrt(4*Pi*t))*(sin((x-y)^2/4/t+Pi/4)-sin((x+y)^2/4/t+Pi/4)):
  g2:= int(g1, y= 0..100):

  g3:= diff(g2,t):
  g4:= diff(g2,x$2):
  g5:= (g3^2+g4^2)/2:
  E2:= unapply(Int(g5, x= 0..100, epsilon= 1e-4, digits= 7), t):
  CodeTools:-Usage( plot(E2, 0..20, numpoints= 50, labels= [t, E]));

The above mentioned code should give constant figure, but it takes a lot of time and not accurate.

If you can help me to improve these codes, I would be pleased.

Thanks!