Question abou Patterson Algorithm

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Discussion Overview

The discussion revolves around understanding a proposition in the preliminaries section of a document related to the Patterson Algorithm. Participants are seeking clarification on the implications of a specific mathematical statement involving the variables \(\theta\), \(\psi\), and \(g\), as well as the conditions under which these relationships hold.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about the proposition stating "\(\theta/p | \psi/p\)" and its implications for "\(\theta | \psi\)".
  • Another participant attempts to clarify that "\(\theta/p | \psi/p\)" indicates the existence of a constant \(c\) such that \(c\theta/p = \psi/p\), suggesting a mathematical manipulation.
  • A different participant questions the reasoning behind the choice of \(g\) in the proposition, specifically why \(g\) does not have any degree and why a smaller choice of \(g\) might contradict the conditions stated in item c).

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are ongoing questions and clarifications regarding the mathematical statements and the implications of the choice of \(g\).

Contextual Notes

The discussion highlights potential ambiguities in the definitions and assumptions related to the variables and propositions, particularly regarding the choice of \(g\) and its implications for the stated relationships.

juaninf
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Hi every one

In the preliminaries section, the item c), there a proposition that say: "So by our choice of g we get "\theta/p | \psi/p" whence "\theta | \psi" ". I am not understanding this propositión, Please help me

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That

\theta/p~\vert~\psi/p

means that there exists a c such that

c\theta/p=\psi/p

Now multiply both sides by p...
 
thanks by your attention, but, a important part is: In the preliminaries section, the item c), there a proposition that say: "So by our choice of g we get "
\theta/p | \psi/p[\tex], how i use "So by our choice of g we get", Why g havenot any degree?, why choice small as posible that contravening c)?
 
Last edited:
juaninf, if you keep "bumping" your threads every few minutes, you are going to get banned.
 

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