Phrase guide

Dirichlet energy

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A quadratic functional which, given a real function defined on an open subset of Rn, yields a real number that is a measure of how variable said function is.

Definition source: English Wiktionary via Wiktextract

Qualifier: functional analysis; Fourier analysis; functional analysis; Fourier analysis

Topics: mathematical-analysis, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after German mathematician Peter Gustav Lejeune Dirichlet (1805–1859), who made significant contributions to the theory of Fourier series.

Across languages

Translations

4 source translations are retained for this English entry.

  • Bulgarian: енергия на Дирихле (energija na Dirihle) — functional that maps a function to a real number representing its variability
  • Dutch: Dirichlet-energie — functional that maps a function to a real number representing its variability
  • Italian: energia di Dirichlet — functional that maps a function to a real number representing its variability
  • Spanish: energía de Dirichlet — functional that maps a function to a real number representing its variability