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Everything about Identity function

Function that returns its argument unchanged

In mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value that was used as its argument, unchanged. That is, when is the identity function, the equality is true for all values of to which can be applied. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Identity functionA 5-minute orientation
  2. Skim a recent paper: Identity, structure, and function of the mitochondrial permeability transition pore: controversies, consensus, recent advances, and future directionsInfluential work since 2022
  3. Pick up a classic book: Gödel, Putnam, and FunctionalismThe most-reprinted book on the subject
  4. Read the landmark paper: The molecular basis for centromere identity and functionCited 728 times
  5. Go sideways: Semigroup with involutionA closely related topic
  6. Go sideways: HomomorphismA closely related topic

📖 Definitions

Noun A function whose value is always the same as its independent variable, and for which the codomain equals the domain.

🗂️ The subject at a glance

  1. Definition
  2. Algebraic properties
  3. Properties

🏆 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