All Questions
4
questions
1
vote
1
answer
109
views
How to factorize and solve equations with $\Sigma$ notation?
I have a few doubts about the properties of sigma notation, $\Sigma$ . My questions rely on factorization and solving equations with $\Sigma$.On account of the fact that my questions are correlated, I ...
0
votes
0
answers
52
views
Finding total of matrix, fraction with two variables
I'm trying to solve summation over a matrix that has been populated with an equation using two variables.
Trying to derive the a matrix populated with the equation:
$$f(x,y) = \frac{a}{x^2 + y - b}$...
1
vote
1
answer
63
views
Reducing Poisson Sum expression
I am trying to reduce and obtain a simple expression from following sum
$$
\sum_{i = 1}^{\infty}{1 \over i}\,
{\,\mathrm{e}^{-\lambda}\,\lambda^{i} \over i!}\,
{1 \over 1 - \,\mathrm{e}^{-\lambda}\,}
...
-1
votes
1
answer
22
views
Working through summations to show equation
Given
equation 1:
$$E = \sum_{k=1}^N \tau x_k g(\frac{n_k}{\tau}) + \sum_{k=1}^N n_kh(\frac{n_k}{\tau})$$
equation 2:
$$E = \frac{1}{2}\gamma X^2 + \epsilon \sum_{k=1}^N |n_k| +\frac{\eta*}{\tau}\...