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how gr operators work?

I tried to run example given there but it is not working,

where can I get more examples to understand working of Gr operators work?

specially for raychaudhuri equations.

AOA...I want to introduce an operator to find the derivative of fractional order i.e.,


J^((alpha)) x^(k):=(GAMMA(k+1))/(GAMMA(k-alpha+1))x^(k-alpha):


when i applied J^(1/2) on x^2+x^3 it gives



my question may be simple but I don't find the answer in any help guide.
when I define a function I cannot use a linearalgebra expression such as Trace.
Here is an example of what I would like to do:

If anyone can help me...
Thank you

I have a function related to some values and I want to include the value in the title.  So I initially try ...

plot(sine(1, 2, 0, t), t = 0 .. 1, title = cat(freq, " sine wave cycles"))

but once I use the value in the function it is not remembered, sort of like a subs operation.  A placeholder is the simplest way.

plot(sine(1, a, 0, t), t = 0 .. 1, title = cat(a, " sine wave cycles"))

Dear Maple users,

Is there a way to describe derivatives treated as binary operators in infix notation, in which the derivatives is applied either to the left or right operands. This is useful, for example, when defining generalizations of the Poisson bracket. For a pair of functions f and g, the left and right derivatives are respectively defined as


I have created a test document to check an equation and I would like to feed a range of k values (ranging from 0 to say 512) in increments of 1) to the main function, and then plot the result as a graph of Zuncomp (y-axis) vs k(x-axis).

I can verify the values of the function by typing say Zuncomp(0) or Zuncomp(10) etc but how do you run this so that you do Zuncomp(k) to read all values of k and generate the output to plot?

Using Maple 13 (Windows 7...

here is my code i want to run the loop for every value if there is invalid input in lhs(ans(1)) the loop should not stop and check for next value
> restart;
> f1 := proc (x) options operator, arrow; R*T*(x*ln(x)+(1-x)*ln(1-x))+Omega[l]*x*(1-x) end proc;
x -> R T (x ln(x) + (1 - x) ln(1 - x)) + Omega[l] x (1 - x)
> g1 := proc (x) options operator, arrow; (1-x)*SfA*(T-TfA)+x*SfB*(T-TfB)+R*T*(x*ln(x)+(1-x)*ln(1-x))+Omega[s]*x*(1-x) end proc;


While substituting expressions for θ(t),θ'(t),θ''(t) with some rather simple polynoms (see attached demonstration), the result icludes terms such as "·2" or "θ1·" (see terms multiplying ε8 and ε7in result for C1). It seems MAPLE treates the "·" sign as a variable/constant instead of as an operator. What am I doing wrong?



I'm trying to define a simple forward difference operator Δ to act on a function f(n). I have defined, in a number of ways, Δ(f(n)) = f(n+1) - f(n). This works fine but I want Maple to calculate powers of Δ. e.g Δ2 (f(n))= f(n+2) - 2f(n+1) + f(n). As it stands, Maple returns (f(n+1) - f(n))2 seemingly however I define the functions.
What am I doing wrong? Help much appreciated.


Dear Maple Users

I wonder how I can use Maple to solve the problem:


for the potential \phi(r). The problem is from the artikle:

I'm particularly puzzled how to implement this differential operator and how to enter the Dirac delta function.


Thanks for any hints.

Can anyone explain these results?  I m trying to check on a more complicated form of this expression, but cannot proceed without understanding what is occurring in this case.


I always used something different from D when using diagonal matrices. Now I learned I can unprotect D.

However, I got this:

> restart; with(LinearAlgebra);
> unprotect(D);
> D := DiagonalMatrix([2, 3]);
> D.D;D^(2);
Error, invalid 'D' operator

Maple does interpret D as a matrix that he can square, but the exponentional notation can't be used as he sees it as some sort of operator?  Can anyone point out my mistake?

I am trying to compute commutator like this [d_t +J_x,d_x+J_t], where d_t and d_x are differential operators, J_x and J_t, which contains generators of group, are some currents on group manifold. terms like this [J_x,J_t] could sovled by physics package, but how to manipulate [d_t,J_x]? How to define operator d_t in order to make the commutator works? and if it works we might have another problem as [d_t,J_x]=[d_t, J^a_x*T_a], where T_a are generators, the result is T_a *d_t(J^a_x...

I am currently taking a course in quantum mechanics using the second edition of McQuarrie's Quantum Chemistry text. I plan to take a QM II course, more concentrating on atomic and molecular spectra. I have been using Mathcad 15, which includes Maple functionality (please pardon my stating the obvious). Mathcad, however, seems to lack functionality (or I have not found it) that would be helpful, like the ability to easily define an operator. Since...

Want to do smth like that:

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