What Does the Symbol Pr Mean in Probability Functions?

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Discussion Overview

The discussion centers around the meaning of the symbol Pr in probability functions, particularly in the context of a paper discussing potential functions and ordinal depths. Participants seek clarification on its definition and usage within the specified context.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant questions the meaning of Pr, suggesting it might stand for "Posterior."
  • Another participant expresses difficulty in locating the symbol in the referenced paper and asks for clarification on its context.
  • A participant proposes that Pr denotes a probability function, specifically indicating that Pr(\{d_i\}_{i=1}^N) represents the probability of the assumed set \{d_i\}_{i=1}^N.
  • The same participant references the Gibbs distribution as a familiar concept related to their interpretation of Pr.

Areas of Agreement / Disagreement

There is no consensus on the meaning of Pr, as participants offer different interpretations and seek further clarification. The discussion remains unresolved regarding the exact definition.

Contextual Notes

Participants have not reached a definitive conclusion about the symbol's meaning, and there are references to specific papers and concepts that may influence their interpretations.

Navy King
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hello everyone,I'm from china,and i need your help.there are some words in a paper as follows :

The potential functions V_{i} are defined as the negative log posterior of the two segments’ ordinal depths conditioned on the curve cues, weighted by the curve length |Ci|

And probably the symbol Pr is short for Posterior.
but what dose the Pr mean?
thank you very much!
 
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Is it in the "The 2.1-D Sketch" paper again? I don't seem to find that symbol in there... Where exactly is it?
 
micromass said:
Is it in the "The 2.1-D Sketch" paper again? I don't seem to find that symbol in there... Where exactly is it?

Boundary Ownership by Lifting to 2.1D,Ido Leichter and Michael Lindenbaum

could you tell me how to understand Pr( {d_{i}}^{M}_{i=1})

I'm very glad to meet you again.you're so friendly.
 
My guess is that Pr just denotes the probability function. That is, Pr(\{d_i\}_{i=1}^N) denotes the probability that \{d_i\}_{i=1}^N is assumed.
This makes sense because the wikipedia page on Gibbs distribution http://en.wikipedia.org/wiki/Gibbs_measure looks familiar to your article.
 
micromass said:
My guess is that Pr just denotes the probability function. That is, Pr(\{d_i\}_{i=1}^N) denotes the probability that \{d_i\}_{i=1}^N is assumed.
This makes sense because the wikipedia page on Gibbs distribution http://en.wikipedia.org/wiki/Gibbs_measure looks familiar to your article.

thank you again.
 

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