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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 ...
user avatar
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}$...
quizitor's user avatar
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}\,} ...
user335388's user avatar
-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}\...
user3022875's user avatar