See Tauberian on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "Tauber", "3": "ian" }, "expansion": "Tauber + -ian", "name": "suffix" } ], "etymology_text": "From Tauber + -ian, specifically referring to Austrian and Slovak mathematician Alfred Tauber (1866-1942).", "head_templates": [ { "args": { "1": "-" }, "expansion": "Tauberian (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms suffixed with -ian", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematical analysis", "orig": "en:Mathematical analysis", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "coordinate_terms": [ { "word": "abelian" } ], "examples": [ { "ref": "1992, Dissertation Abstracts International, page 326:", "text": "In the third chapter we obtain characterizations of Tauberian convergence classes in the limiting case and representations of Fourier and Fourier-Stieltjes coefficients.", "type": "quote" }, { "ref": "2003, B. N. Prasad, “1966, Chandigarh - B. N. Prasad”, in The Shaping of Indian Science, Indian Science Congress Association Presidential Addresses, Volume 2: 1948-1981, Universities Press, page 916:", "text": "Lorentz has developed a general method for obtaining Tauberian conditions for absolute summability.", "type": "quote" }, { "ref": "2004, Jacob Korevaar, Tauberian Theory: A Century of Developments, Springer, page 142:", "text": "In this section we use ideas from the proof of Proposition 4.3 to obtain a convergence theorem involving more general Tauberian conditions.", "type": "quote" } ], "glosses": [ "Being or relating to Tauberian theorems, a class of theorems that are partial converses to Abelian theorems." ], "id": "en-Tauberian-en-adj-XZNFsnCx", "links": [ [ "mathematical analysis", "mathematical analysis" ], [ "Tauberian theorem", "Tauberian theorem" ], [ "theorem", "theorem" ], [ "partial", "partial" ], [ "converse", "converse" ], [ "Abelian theorem", "Abelian theorem" ] ], "raw_glosses": [ "(mathematical analysis) Being or relating to Tauberian theorems, a class of theorems that are partial converses to Abelian theorems." ], "synonyms": [ { "word": "tauberian" } ], "tags": [ "not-comparable" ], "topics": [ "mathematical-analysis", "mathematics", "sciences" ], "wikipedia": [ "Abelian and tauberian theorems", "Alfred Tauber" ] } ], "word": "Tauberian" }
{ "coordinate_terms": [ { "word": "abelian" } ], "etymology_templates": [ { "args": { "1": "en", "2": "Tauber", "3": "ian" }, "expansion": "Tauber + -ian", "name": "suffix" } ], "etymology_text": "From Tauber + -ian, specifically referring to Austrian and Slovak mathematician Alfred Tauber (1866-1942).", "head_templates": [ { "args": { "1": "-" }, "expansion": "Tauberian (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English adjectives", "English entries with incorrect language header", "English eponyms", "English lemmas", "English terms suffixed with -ian", "English terms with quotations", "English uncomparable adjectives", "Pages with 1 entry", "Pages with entries", "en:Mathematical analysis" ], "examples": [ { "ref": "1992, Dissertation Abstracts International, page 326:", "text": "In the third chapter we obtain characterizations of Tauberian convergence classes in the limiting case and representations of Fourier and Fourier-Stieltjes coefficients.", "type": "quote" }, { "ref": "2003, B. N. Prasad, “1966, Chandigarh - B. N. Prasad”, in The Shaping of Indian Science, Indian Science Congress Association Presidential Addresses, Volume 2: 1948-1981, Universities Press, page 916:", "text": "Lorentz has developed a general method for obtaining Tauberian conditions for absolute summability.", "type": "quote" }, { "ref": "2004, Jacob Korevaar, Tauberian Theory: A Century of Developments, Springer, page 142:", "text": "In this section we use ideas from the proof of Proposition 4.3 to obtain a convergence theorem involving more general Tauberian conditions.", "type": "quote" } ], "glosses": [ "Being or relating to Tauberian theorems, a class of theorems that are partial converses to Abelian theorems." ], "links": [ [ "mathematical analysis", "mathematical analysis" ], [ "Tauberian theorem", "Tauberian theorem" ], [ "theorem", "theorem" ], [ "partial", "partial" ], [ "converse", "converse" ], [ "Abelian theorem", "Abelian theorem" ] ], "raw_glosses": [ "(mathematical analysis) Being or relating to Tauberian theorems, a class of theorems that are partial converses to Abelian theorems." ], "tags": [ "not-comparable" ], "topics": [ "mathematical-analysis", "mathematics", "sciences" ], "wikipedia": [ "Abelian and tauberian theorems", "Alfred Tauber" ] } ], "synonyms": [ { "word": "tauberian" } ], "word": "Tauberian" }
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