What is meant by 'affine' model in physical sciences?

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Discussion Overview

The discussion centers on the meaning of the term 'affine' model in the context of physical sciences, exploring its relationship to ideal models and affine transformations. Participants examine whether the concept of an affine model exists and how it relates to transformations between ideal and real examples.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the meaning of 'affine' model, suggesting it may relate to an ideal or benchmark model.
  • Another participant proposes that an affine model could be understood through the concept of an affine transform, which preserves parallel lines and connects ideal models to real examples.
  • Some participants express skepticism about the existence of an 'affine model', suggesting it may be a conflation of terms related to affine transformations and ideal models.
  • A later reply emphasizes that there seems to be no established concept of an "affine model" distinct from affine transformations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the existence or definition of an 'affine model'. There are competing views regarding its relationship to affine transformations and ideal models.

Contextual Notes

Some participants note that the term 'affine model' may not be widely recognized or defined in the literature, leading to confusion and differing interpretations.

feynman1
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What's meant by 'affine' model in physical sciences? I guess it's related to some ideal or benchmark model?
 
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A ideal model is compared with a real example.
The connection or mapping between the two is an 'affine transform'.
An affine transform preserves parallel lines.
I guess the model of the ideal could be called an 'affine model'.
https://en.wikipedia.org/wiki/Affine_transformation
 
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Baluncore said:
A ideal model is compared with a real example.
The connection or mapping between the two is an 'affine transform'.
An affine transform preserves parallel lines.
I guess the model of the ideal could be called an 'affine model'.
https://en.wikipedia.org/wiki/Affine_transformation
affine transform has nothing to do with affine model?
 
feynman1 said:
affine transform has nothing to do with affine model?
There seems to be no such thing as an "affine model".

"Affine model" appears to be a conflation of the terms "affine" transform and the transformed ideal "model". That might be used to refer to a model that is subjected to an affine transform.
 
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