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Everything about Exponential decay

Decrease in value at a rate proportional to the current value

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by the following differential equation, where N is the quantity and λ (lambda) is a positive rate called the exponential decay constant, disintegration constant, rate constant, or transformation constant: Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Exponential decayA 5-minute orientation
  2. Skim a recent paper: Exponential Decay of Sensitivity in Graph-Structured Nonlinear ProgramsInfluential work since 2022
  3. Pick up a classic book: Physics for scientists and engineersThe most-reprinted book on the subject
  4. Read the landmark paper: Spectral Gap and Exponential Decay of CorrelationsCited 542 times
  5. Go sideways: Half-lifeA closely related topic
  6. Go sideways: Radioactive decayA closely related topic

📖 Definitions

Noun A decrease where the rate of decrease is proportional to the amount remaining.

🏆 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.

🔗 Related topics