Double sum to single sum? Simplification.

Asked Feb 18 '15 at 19:06

Active Feb 18 '15 at 19:26

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Can this double sum be simplified to a single sum and further simplified using geometric series?

$$\left(\sum_{k=1}^{K} s^{2k+1} \left[T^{2k} E e^{(r)}\right]_\beta \right) \left(\sum_{m=1}^{M} s^{2m} \left[T_2^{2m-1} E_2 e^{(r)}\right]_\beta \right)$$

Thanks!!

edited Feb 18 '15 at 19:26

MattAllegro

3,316

asked Feb 18 '15 at 19:06

Jonathan

Probably not. And definitely not until the meaning of symbols is understood. For example, what does the subscript $\beta$ do to the square brackers? – Feb 18 '15 at 19:07
Pleas use LaTeX markup, and explain the symbols used. – flawr Feb 18 '15 at 19:07
is "T" triangular function ? or "S" and "T" 's orthogonal ? – Khosrotash Feb 18 '15 at 19:09
Sorry guys; T=nxn matrix, E=nxm matrix, e(r)=vector of 1's length n, beta=chooses beta'th elemtn of this triple matrix multiplication. – Jonathan Feb 18 '15 at 19:13
What is $T$ vs. $T_2$? $E$ vs. $E_2$? – mvw Feb 18 '15 at 19:19

Double sum to single sum? Simplification.

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