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

Affine transform" refers to a mathematical concept used to map or transform one set of points to another set while preserving parallel lines. It is commonly used in physical sciences to compare ideal and real models.
  • #1
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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  • #2
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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  • #3
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?
 
  • #4
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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