What does a ellipsis directly following a summation mean?

  • Thread starter Thread starter ektrules
  • Start date Start date
  • Tags Tags
    Mean Summation
AI Thread Summary
The discussion centers on the meaning of an ellipsis following a summation in a mathematical equation. Participants express confusion over its notation and implications, particularly in the context of maximizing rewards over multiple time steps. The ellipsis suggests a continuation of summation terms, indicating a series of calculations that extend beyond the initial summation. There is speculation that it represents a sequence of summations indexed by time steps. Understanding this notation is crucial for interpreting the overall equation correctly.
ektrules
Messages
35
Reaction score
0
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}
 
Mathematics news on Phys.org
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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
Back
Top