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Everything about Bump function

Smooth and compactly supported function

In mathematical analysis, a bump function is a localized auxiliary function, usually chosen to be smooth and to have compact support. Bump functions are commonly used as cutoff functions, for example functions that are equal to 1 on a prescribed set and vanish outside a larger set, and as standard examples of kernels used to construct mollifiers. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Bump functionA 5-minute orientation
  2. Skim a recent paper: Revolution-bump mapping with texture function adjustment according to the geometry of the revolved objectInfluential work since 2022
  3. Pick up a classic book: The Book of ShadersThe most-reprinted book on the subject
  4. Read the landmark paper: Carbon Isotopes in Globular Clusters Down to the Bump in the Luminosity FunctionCited 61 times
  5. Go sideways: SmoothnessA closely related topic
  6. Go sideways: Distribution (mathematical analysis)A closely related topic

📖 Definitions

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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