## 10 Reputation

12 years, 324 days

## How to calculate difference of two sums ...

Dear Maple Users

I wonder if and how I can use Maple to calculate the difference of two sums algebraically, meaning if I dont have an explicit expression for the range of the sum. Rather, I want to calculate

Sum(i, i=0..N) - Sum(i, i=0..N, i!=k);

which should, obviously return k.

Is it possible to evaluate such an expression, and more advanced cases, using Maple?
Thanks for hints.

## Integrate density of states times Fermi ...

Dear Maple Users

Let the density of electronic states be denoted

## Compare two expressions...

Maple

Dear Forum

Lets say, I use the simplify function to process some expression and it returns x*x. On the paper, I find x^2. How can I use Maple to verify that x*x==x^2?

Thanks for any hints.

## Get a integral out...

Maple 15

Dear Forum

I'm trying to evaluate the following expression:

The value of the integral should equal 1 and from that the value of the normalization constant N can be obtained. It should equal sqrt...

## Using Maple to prove invariance of trace...

Maple

Hallo

I'm new in Mapleprimes and I'm looking forward to interesting discussions.

I was just wondering if and how it would be possible to use Maple for something like proving invariance of trace under unitary transformation.

So

tr(\Omega) = tr(U^{+} O U)

and

U^{+}U = I

After a number of reformulations, one arrives at an expression tr(O) = tr(U \Omega U^{+}).

Another example would be to show that (AB)^{-1} = B^{-1}A^{-1}....

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