Differences between delta W or dW

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SUMMARY

The discussion clarifies the distinction between the symbols \(\delta W\) and \(dW\) in physics. \(\delta W\) signifies a small but "real" change in work, while \(dW\) represents a differential that pertains to a limit. Although some authors may use \(dW\) interchangeably with \(\delta W\), the correct usage in physics is to reserve \(\delta W\) for work done by a force, which is an exact differential. This nuanced understanding is crucial for accurate communication in scientific contexts.

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  • Understanding of basic calculus concepts, particularly differentials.
  • Familiarity with physics terminology related to work and force.
  • Knowledge of the significance of exact and inexact differentials.
  • Basic comprehension of mathematical notation used in physics.
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  • Study the concept of exact and inexact differentials in calculus.
  • Learn about the applications of \(\delta\) and \(d\) in thermodynamics.
  • Explore the implications of differentials in classical mechanics.
  • Investigate how different authors approach the notation of work in physics literature.
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Students of physics, educators teaching calculus-based physics, and professionals in scientific writing who need clarity on the usage of differential notation.

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Why in some sites, the work appears like [tex]\ \ \delta W[/tex] instead of dW ?

Whats the differences between [tex]\ \delta W[/tex] and dW?thanks
 
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[tex]\delta W[/tex] refers to a small, but "real" change in W. dW is the differential and actually refers to a limit. The way this is used in physics it really should be [tex]\delta W[/tex] but many writers 'bend" the meaning a little and use dW.
 
in some case [tex]\delta W[/tex] refers to work done by force such that it is exact differential
 

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