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Everything about Sigma approximation

In mathematics, σ-approximation adjusts a Fourier summation to greatly reduce the Gibbs phenomenon, which would otherwise occur at discontinuities. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Sigma approximationA 5-minute orientation
  2. Skim a recent paper: Approximation in $$AC(\sigma )$$Influential work since 2022
  3. Pick up a classic book: Calculus, Early TranscendentalsThe most-reprinted book on the subject
  4. Read the landmark paper: On the approximation of horizontal gradients in sigma co‐ordinates for bathymetry with steep bottom slopesCited 149 times
  5. Go sideways: Hann functionA closely related topic
  6. Go sideways: Dirac combA closely related topic

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🗂️ The subject at a glance

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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