See Lipschitz in All languages combined, or Wiktionary
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"etymology_text": "Named after Rudolf Lipschitz.",
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{
"word": "Lipschitz condition"
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{
"word": "Lipschitz constant"
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"word": "Lipschitz continuity"
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{
"word": "Lipschitz continuous"
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{
"word": "Lipschitzian"
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],
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"(Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
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"(mathematics) (Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
],
"tags": [
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"word": "Lipschitz"
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{
"derived": [
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"etymology_text": "Named after Rudolf Lipschitz.",
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"(Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
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"(mathematics) (Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
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Download raw JSONL data for Lipschitz meaning in English (1.1kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-03 from the enwiktionary dump dated 2025-01-20 using wiktextract (05fdf6b and 9dbd323). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.