Word.ws English Dictionary

exterior derivative

exterior derivative noun: a differential operator which acts on a differential k-form to yield a differential (k+1)-form, unless the k-form is a pseudoscalar, in which case it yields 0.

Noun

exterior derivative (plural exterior derivatives)

  1. A differential operator which acts on a differential k-form to yield a differential (k+1)-form, unless the k-form is a pseudoscalar, in which case it yields 0.
    • The exterior derivative of a “scalar”, i.e., a function f=f(x¹,x²,...,xⁿ) where the xⁱ’s are coordinates of ℝⁿ, is df=∂f/∂x¹dx¹+∂f/∂x²dx²+...+∂f/∂xⁿdxⁿ.
    • The exterior derivative of a k-blade f,dx∧dx∧...∧dx is df∧dx∧dx∧...∧dx.

Forms of exterior derivative

pluralexterior derivatives

Questions about exterior derivative

What does exterior derivative mean?
Exterior derivative means a differential operator which acts on a differential k-form to yield a differential (k+1)-form, unless the k-form is a pseudoscalar, in which case it yields 0.
What part of speech is exterior derivative?
Exterior derivative is a noun.
What is the plural of exterior derivative?
The plural of exterior derivative is exterior derivatives.

Words near exterior derivative in the dictionary

  1. extenuatory
  2. exterge
  3. exterior
  4. exterior angle
  5. exterior angles
  6. exterior derivative
  7. exterior derivatives
  8. exterior product
  9. exterior products
  10. exteriorisation
  11. exteriorisations

Source and license

Adapted from Wiktionary: exterior derivative (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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