Uncertainty calculation and variational calculus

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SUMMARY

The discussion centers on calculating uncertainty in measurements using variational calculus. The original poster seeks guidance on this topic and requests book recommendations. A response questions the appropriateness of applying the calculus of variations to measurements, suggesting that it is not a typical application. It also hints at the potential relevance of using Taylor series for deriving probable estimates of error and weighting factors.

PREREQUISITES
  • Understanding of variational calculus
  • Familiarity with uncertainty measurement techniques
  • Knowledge of Taylor series expansions
  • Basic principles of error analysis
NEXT STEPS
  • Research the applications of variational calculus in measurement theory
  • Study uncertainty propagation methods in experimental physics
  • Learn about Taylor series and their role in error estimation
  • Explore literature on statistical methods for uncertainty analysis
USEFUL FOR

Researchers, experimental physicists, and anyone involved in measurement analysis and uncertainty quantification will benefit from this discussion.

theophyman
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hello, this is my first post in this forum, i hope i find some help from you.

i wanted to know how to calculate uncertainty of measurments (in experiments) starting from the variational calculus. any books please.

thank you in advance
 
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Are you sure you want to apply the 'calculus of variations' to measurements?

This is not its usual application.

Unless you are referring to deriving the most probable estimate of error and weighting factors from a Taylor series?

If you post some more detail someone may be able to help.
 

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