See nonvanishing in All languages combined, or Wiktionary
Download JSON data for nonvanishing meaning in English (2.4kB)
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"2": "non",
"3": "vanishing"
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"expansion": "non- + vanishing",
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"etymology_text": "non- + vanishing",
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"expansion": "nonvanishing (not comparable)",
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"lang": "English",
"lang_code": "en",
"pos": "adj",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
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"Entry maintenance"
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"source": "w"
},
{
"kind": "other",
"name": "English terms prefixed with non-",
"parents": [],
"source": "w"
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{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
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{
"ref": "2001 January 1, A. A. Coley, Bäcklund and Darboux Transformations: The Geometry of Solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada (CRM proceedings & lecture notes), American Mathematical Soc., page 153",
"text": "For each nonvanishing function h, which is a solution of (2.1), we consider #x5C;Omega as above and we define\nx5C;Omega#x5F;i#x3D;d#x5C;Omega(e#x5F;i),#x5C;#x3B;#x5C;#x3B;#x5C;#x3B;W#x3D;#x5C;frac#x7B;#x5C;Omega#x7D;#x7B;h#x7D;",
"type": "quotation"
},
{
"ref": "2013 November 11, C. Herbert Clemens, A Scrapbook of Complex Curve Theory (University Series in Mathematics), Springer Science & Business Media, →OCLC, page 61",
"text": "This means that the vector space of solutions of (2.25) near #x5C;lambda#x3D;0 is generated by\nx5C;sigma#x5F;1(#x5C;lambda) holomorphic and nonvanishing at 0,\nx5C;left(#x5C;lambda#x5C;sigma#x5F;2(#x5C;lambda)#x2B;(log#x5C;lambda)#x5C;sigma#x5F;1(#x5C;lambda)#x5C;right) where a #x5C;sigma#x5F;2 is holomorphic and nonvanishing at 0.",
"type": "quotation"
}
],
"glosses": [
"Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain."
],
"id": "en-nonvanishing-en-adj-VSM1KRUW",
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"raw_glosses": [
"(mathematics) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain."
],
"tags": [
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"word": "nonvanishing"
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"pos": "adj",
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"English terms with quotations",
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"en:Mathematics"
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"examples": [
{
"ref": "2001 January 1, A. A. Coley, Bäcklund and Darboux Transformations: The Geometry of Solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada (CRM proceedings & lecture notes), American Mathematical Soc., page 153",
"text": "For each nonvanishing function h, which is a solution of (2.1), we consider #x5C;Omega as above and we define\nx5C;Omega#x5F;i#x3D;d#x5C;Omega(e#x5F;i),#x5C;#x3B;#x5C;#x3B;#x5C;#x3B;W#x3D;#x5C;frac#x7B;#x5C;Omega#x7D;#x7B;h#x7D;",
"type": "quotation"
},
{
"ref": "2013 November 11, C. Herbert Clemens, A Scrapbook of Complex Curve Theory (University Series in Mathematics), Springer Science & Business Media, →OCLC, page 61",
"text": "This means that the vector space of solutions of (2.25) near #x5C;lambda#x3D;0 is generated by\nx5C;sigma#x5F;1(#x5C;lambda) holomorphic and nonvanishing at 0,\nx5C;left(#x5C;lambda#x5C;sigma#x5F;2(#x5C;lambda)#x2B;(log#x5C;lambda)#x5C;sigma#x5F;1(#x5C;lambda)#x5C;right) where a #x5C;sigma#x5F;2 is holomorphic and nonvanishing at 0.",
"type": "quotation"
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],
"glosses": [
"Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain."
],
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"(mathematics) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain."
],
"tags": [
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"word": "nonvanishing"
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"msg": "LUA error in #invoke('quote', 'quote_t', 'type=book') parent ('Template:quote-book', {1: 'en\\n', 'url': 'https://books.google.ch/books?id=Kro6DwAAQBAJ&lpg=PA205&dq=%22nonvanishing%20for%22&pg=PA205#v=onepage&q=%22nonvanishing%20for%22&f=false', 'title': 'Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday', 'author': 'Jim Cogdell; Ju-Lee Kim; Chen-Bo Zhu', 'publisher': 'Birkhäuser', 'series': 'Progress in Mathematics', 'isbn': '9783319597287', 'oclc': '1007699203', 'date': '2017-10-19', 'page': '205', 'passage': \"Lemma 2 <i>Let <math>F(T)</math> be a nonzero element of the fraction field of <math>\\\\mathbb{Z}_p[[T]]</math> for which <math>F(\\\\zeta - 1)</math> is well defined and '''nonvanishing''' for all <math>\\\\zeta \\\\in \\\\mathcal{Z}</math>. Then <math>\\\\{\", 2: 'F(\\\\zeta - 1)', 3: ' \\\\mid \\\\zeta \\\\in \\\\mathcal{Z}\\\\}</math> is bounded above and below.</i>\\n'})",
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"section": "English",
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"trace": "[string \"quote\"]:2380: |3= is an alias of |author=; cannot specify a value for both"
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"msg": "LUA error in #invoke('quote', 'quote_t', 'type=book') parent ('Template:quote-book', {1: 'en\\n', 'url': 'https://books.google.ch/books?id=Kro6DwAAQBAJ&lpg=PA205&dq=%22nonvanishing%20for%22&pg=PA205#v=onepage&q=%22nonvanishing%20for%22&f=false', 'title': 'Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday', 'author': 'Jim Cogdell; Ju-Lee Kim; Chen-Bo Zhu', 'publisher': 'Birkhäuser', 'series': 'Progress in Mathematics', 'isbn': '9783319597287', 'oclc': '1007699203', 'date': '2017-10-19', 'page': '205', 'passage': \"Lemma 2 <i>Let <math>F(T)</math> be a nonzero element of the fraction field of <math>\\\\mathbb{Z}_p[[T]]</math> for which <math>F(\\\\zeta - 1)</math> is well defined and '''nonvanishing''' for all <math>\\\\zeta \\\\in \\\\mathcal{Z}</math>. Then <math>\\\\{\", 2: 'F(\\\\zeta - 1)', 3: ' \\\\mid \\\\zeta \\\\in \\\\mathcal{Z}\\\\}</math> is bounded above and below.</i>\\n'})",
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.
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