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1	Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality ; Discours apodictique et inégalité de Cauchy-Bunyakovsky-Schwarz
	Kichenassamy, Satyanad
	In: ISSN: 0970-0307 ; Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics ; https://hal.archives-ouvertes.fr/hal-03643571 ; Ganita Bharati (Indian Mathematics): Journal of the Indian Society for History of Mathematics, Prints Publications Pvt., In press (2022)
	Abstract: International audience ; Bunyakovsky’s integral inequality (1859) is one of the familiar tools of modern Analysis. We try and understand what Bunyakovsky did, why he did it, why others did not follow the same path, and explore some of the mathematical (re)interpretations of his inequalities. This is achieved by treating the texts as discourses that provide motivation and proofs by their very discursive structure, in addition to what meets the eye at first reading. Bunyakovsky paper is an outgrowth of the mathematical theory of mean-values in Cauchy’s work (1821), but viewed from the point of view of Probability and Statistics. Liouville (1836) gave a result that implies Bunyakovsky’s inequality, but did not identify it as significant because his interests lay elsewhere. Grassmann (1862) stated the inequality in abstract form but did not prove it for reasons that can be identified. Finally, by relating the result to quadratic binary forms, Schwarz (1885) opened the way to a geometric interpretation of the inequality that became important in the theory of integral equations. His argument is the source of one of the proofs most commonly taught nowadays. At about the same time, the Rogers-Hölder inequality suggested generalizations of Cauchy’s and Bunyakovsky’s results in an entirely different direction. Later extensions and reinterpretations show that no single result, even now, subsumes all known generalizations.
	Keyword: [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]; [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]; [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]; [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]; [SHS.HISPHILSO]Humanities and Social Sciences/History; algebraic identities; Analysis; Apodicticité; Cauchy-Schwarz; derivations; Discourse Analysis; history of mathematics; invariant theory; Philosophy and Sociology of Sciences; Saint-Petersburg
	URL: https://hal.archives-ouvertes.fr/hal-03643571
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2	Rapport et Bilan Scientifique - 2e Symposium sur la Politique Linguistique Familiale 2021
	Haque, Shahzaman; Le Lièvre, Françoise
	In: https://hal-inalco.archives-ouvertes.fr/hal-03525635 ; [Rapport de recherche] INALCO, Sorbonne Paris-Cité (SPC). 2022 (2022)
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3	The Experiences of Migrant Job Seekers, Looking for Work Online ...
	De Pauw, Denise. - : Lancaster University, 2022
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4	Vice-Presidential Candidates, Language Frames, and Functions Across Two Continental Divides: An Analysis of Acceptance Speeches
	Osei Fordjour, Nana Kwame; Sikanku, Etse
	In: International Journal of Communication; Vol 16 (2022); 19 ; 1932-8036 (2022)
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5	Rapport et Bilan Scientifique - 2e Symposium sur la Politique Linguistique Familiale 2021
	Haque, Shahzaman; Le Lièvre, Françoise
	In: https://hal-inalco.archives-ouvertes.fr/hal-03525635 ; [Rapport de recherche] INALCO, Sorbonne Paris-Cité (SPC). 2022 (2022)
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6	Teachers’ narratives of resistance to Madrid's bilingual programme: an exploratory study in secondary education
	Alonso-Belmonte, Isabel; Fernández-Agüero, María. - : Elsevier, 2022
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7	A Functional Discourse Grammar account of proper names in Portuguese
	Monielly Serafim
	In: Journal of Portuguese Linguistics, Vol 21, Iss 1 (2022) (2022)
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8	A Functional Discourse Grammar account of proper names in Portuguese
	Monielly Serafim
	In: Journal of Portuguese Linguistics, Vol 21, Iss 1 (2022) (2022)
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9	How Do Consecrated Objects “Speak”? The Rhetorical Function of Liturgical Objects and Garments in The Eastern Orthodox Church
	Rusu Tudor-Constantin
	In: Argumentum: Journal of the Seminar of Discursive Logic, Argumentation Theory and Rhetoric, Vol 20, Iss 1, Pp 119-134 (2022) (2022)
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10	Managing interpersonal discourse expectations: a comparative analysis of contrastive discourse particles in Dutch
	Bergen, Geertje van; Hogeweg, Lotte
	In: Linguistics. - Berlin [u.a.] : Mouton de Gruyter 59 (2021) 2, 333-360
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11	К ВОПРОСУ О ТИПОЛОГИИ ТЕКСТА КАК КОГНИТИВНО-РЕЧЕВОГО ПРОИЗВЕДЕНИЯ ... : ON THE QUESTION OF TEXT TYPOLOGY AS A COGNITIVE SPEECH WORK ...
	К.З. Зулпукаров; З.М. Сабиралиева. - : Мир науки, культуры, образования, 2021
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12	Ideología de van Dijk ...
	GARCÍA LANDA, José Angel. - : Humanities Commons, 2021
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13	Influence of cultural values and norms on political leadeship attributes ...
	Mohr, Peter. - : Open Science Framework, 2021
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14	Argumentation, Ideology and Discourse in Evolving Specialized Communication ...
	Bowker, Janet; Incelli, Ersilia; Prosperi Porta, Chiara. - : University of Salento, 2021
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15	Showcasing Motorbikes and Sewing Machines: Promotional Language on Husqvarna Websites ...
	Nocella, Jessica Jane; Corradini, Federico. - : Iperstoria, 2021
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16	Did Samuel Bronston Commit Perjury? A Study in Discourse Semantics ...
	López, Luis. - : International Language and Law Association (ILLA), 2021
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17	Creating a theoretical framework to underpin discourse assessment and intervention in aphasia
	Cruice, Madeline; Boyle, Mary; Hersh, Deborah...
	In: Research outputs 2014 to 2021 (2021)
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18	Дискурсивно-стилистический подход к деловым текстам ... : A discursive and stylistic approach to business texts ...
	Ширинкина Мария Андреевна. - : Гуманитарные исследования. История и филология, 2021
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19	LINGUOCOLOGY (LANGUAGE ECOLOGY): DEVELOPMENT PROSPECTS ...
	Shoshin, Serguei. - : figshare, 2021
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20	STUDIES OF OBSCENE VOCABULARY: PROBLEMS AND DEVELOPMENT PROSPECTS ...
	Shoshin, Serguei. - : figshare, 2021
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