Problem with a convolution algorithm

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Discussion Overview

The discussion revolves around a convolution algorithm presented in "Statistical Mechanics Algorithms and Computations," specifically focusing on the weights used in Algorithm 1.26. Participants are exploring the rationale behind the sequence of weights {1/2l, 1/l, ..., 1/l, 1/2l} and seeking clarification on their derivation and relevance.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses confusion about the specific weights used in the convolution algorithm and requests clarification on their sequence.
  • Another participant notes that the weights correspond to those used in the trapezoidal method of numerical integration, suggesting that they are not directly related to the underlying problem.
  • A participant critiques the clarity of the book, implying that it does not adequately explain the concepts involved.

Areas of Agreement / Disagreement

There is no consensus on the clarity of the book or the explanation of the weights, as some participants find the material lacking while others provide insights into the numerical method used.

Contextual Notes

The discussion includes references to external links that are inaccessible to some participants, which may limit the context available for understanding the algorithm and its application.

Uriel
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Hi.

I've been reading "Statistical Mechanics Algorithms and Computations". And I came to a problem while processing Algorithm 1.26 (I attach a link at the end). I don't get why the weights are the way they are, specially I can't understand the sequence {1/2l,1/l,...,1/l,1/2l}.

Does anyone knows why the weights are those and how would be the sequence?

Thanks in advance

https://books.google.com.mx/books?id=g30SDAAAQBAJ&pg=PA47&lpg=PA47&dq=ran01-convolution&source=bl&ots=3kMGHo026k&sig=NYTpKGJiKJcHFai50vR0cLKw484&hl=en&sa=X&sqi=2&ved=0ahUKEwiF1O7IjMzQAhVJKGMKHdDvDhMQ6AEIGjAA#v=onepage&q=ran01-convolution&f=false
 
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Link is blocked to outsiders.
 
mathman said:
Link is blocked to outsiders.

Pff, can you see this pdf? http://blancopeck.net/Statistics.pdf

The part I'm talking about is on the page 47 of the book (60 of the pdf)
 
The weights are just those used by the trapezoidal method of numerical integration. It has nothing to do with the underlying problem.
 
Well it certainly isn't a great book when it comes to explain things.

Thank you very much
 

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