What does a ellipsis directly following a summation mean?

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The discussion centers on the notation of an ellipsis following a summation in mathematical expressions, specifically in the context of reinforcement learning. The notation indicates a continuation of summation terms, suggesting a series of values indexed by \(a_t+k\) where \(0 < k < m\). The expression illustrates the maximization of cumulative rewards over multiple time steps, emphasizing the importance of understanding the structure of such mathematical formulations in algorithm design.

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ektrules
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I've never seen this notation before. What does the ellipsis right after the first summation mean:
\begin{equation}<br /> \label{aixi_eq}<br /> a_t^* = \arg\max\limits_{a_t}\sum\limits_{o_t r_t} \dots \max\limits_{a_{t+m}}\sum\limits_{o_{t+m} r_{t+m}}[r_t + \dots + r_{t+m}]<br /> \sum\limits_{q:U(q,a_1...a_{t+m})=o_1 r_1 ... o_{t+m}r_{t+m}}2^{-\ell(q)}.<br /> \end{equation}
 
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My guess: a string of summations with at+k with 0<k<m.
 
mathman said:
My guess: a string of summations with at+k with 0<k<m.

That's it, thanks.
 

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