I What kind of differential does the small Greek delta letter represent?

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I had always thought that it represents a differential element for a parameter that it is not supposed to be a well-defined function - e.g., for a differential or heat or work in thermodynamics - as opposed to a regular Latin d, which is supposed to be such a well-defined function. However, Sabina Hossenfelder says here that it means a differential that is meant to be a function whose input variable is a path, which sounds like something out of calculus of variations.

 
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And I always thought that ##\delta## was Dirac's delta :smile:

The same symbol can have different meaning in different contexts.
 
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swampwiz said:
δ

I had always thought that it represents a differential element for a parameter that it is not supposed to be a well-defined function - e.g., for a differential or heat or work in thermodynamics - as opposed to a regular Latin d, which is supposed to be such a well-defined function. However, Sabina Hossenfelder says here that it means a differential that is meant to be a function whose input variable is a path, which sounds like something out of calculus of variations.

Here is an example that fits into the context:
https://www.physicsforums.com/insights/when-lie-groups-became-physics/
It is basically how it was used in:
A. Cohen, An Introduction to Lie Theory of One-Parameter Groups, Baltimore 1911

At least, it shows that "something small" is the answer in the given context.
 
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