Word.ws English Dictionary

Haar space

Haar space noun: a finite-dimensional subspace V of π’ž(X, 𝕂), where X is a compact space and 𝕂 either the real numbers or the complex numbers, such that for any given fβˆˆπ’ž(X, 𝕂) there is exactly one element of V that approximates f "best", i.e. with minimum distance to f in supremum norm.

Noun

Haar space (plural Haar spaces)

  1. (approximation theory) A finite-dimensional subspace V of π’ž(X, 𝕂), where X is a compact space and 𝕂 either the real numbers or the complex numbers, such that for any given fβˆˆπ’ž(X, 𝕂) there is exactly one element of V that approximates f "best", i.e. with minimum distance to f in supremum norm.
    Synonyms:
    Chebyshev space

Synonyms of Haar space

Forms of Haar space

pluralHaar spaces

Origin of Haar space

Named after Hungarian mathematician AlfrΓ©d Haar.

Questions about Haar space

What does Haar space mean?
Haar space means a finite-dimensional subspace V of π’ž(X, 𝕂), where X is a compact space and 𝕂 either the real numbers or the complex numbers, such that for any given fβˆˆπ’ž(X, 𝕂) there is exactly one element of V that approximates f "best", i.e. with minimum distance to f in supremum norm.
What part of speech is Haar space?
Haar space is a noun.
What is the plural of Haar space?
The plural of Haar space is Haar spaces.

Words near Haar space in the dictionary

  1. haapalaite
  2. Haapalas
  3. HaapamΓ€ki
  4. Haapsalu
  5. haar
  6. Haar space
  7. Haar spaces
  8. Haar wavelet
  9. Haar wavelets
  10. haarder
  11. haarders

Source and license

Adapted from Wiktionary: Haar space (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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