What Does the Symbol Pr Mean in Probability Functions?

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The symbol Pr in probability functions typically denotes a probability measure or function. In the context of the discussion, it is suggested that Pr({d_i}_{i=1}^N) represents the probability of the assumption of the set {d_i}_{i=1}^N. The conversation also references the "Boundary Ownership by Lifting to 2.1D" paper, indicating a search for clarity on the symbol's usage within that text. The mention of the Gibbs distribution suggests a connection to statistical mechanics and probability theory. Understanding Pr as a probability function aligns with common interpretations in mathematical literature.
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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.
 
Good morning I have been refreshing my memory about Leibniz differentiation of integrals and found some useful videos from digital-university.org on YouTube. Although the audio quality is poor and the speaker proceeds a bit slowly, the explanations and processes are clear. However, it seems that one video in the Leibniz rule series is missing. While the videos are still present on YouTube, the referring website no longer exists but is preserved on the internet archive...

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