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Writing good economics: how texts 'on the move' perform the lab and discipline of experimental economics
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In: ISSN: 0306-3127 ; Social Studies of Science ; https://hal.archives-ouvertes.fr/hal-03429169 ; Social Studies of Science, SAGE Publications, 2022, ⟨10.1177/03063127221079600⟩ ; https://doi.org/10.1177/03063127221079600 (2022)
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Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality ; Discours apodictique et inégalité de Cauchy-Bunyakovsky-Schwarz
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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)
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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.
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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
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URL: https://hal.archives-ouvertes.fr/hal-03643571
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| 3 |
Anxious voice and avoidant language in interaction with a woman wearing an Islamic headscarf: field-experimental evidence from the Paris metro
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In: https://hal.archives-ouvertes.fr/hal-03140246 ; 2022 (2022)
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| 4 |
Anxious voice and avoidant language in interaction with a woman wearing an Islamic headscarf: field-experimental evidence from the Paris metro
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In: https://hal.archives-ouvertes.fr/hal-03140246 ; 2022 (2022)
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| 5 |
Generic learning mechanisms can drive social inferences: The role of type frequency
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| 6 |
The Paradox of Minzu Higher Education: Structural Inequity and Exclusion of Tibetans in China’s Tertiary Education
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| 7 |
Preprint Citation Praxis in PLOS
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In: ISSN: 0138-9130 ; EISSN: 1588-2861 ; Scientometrics ; https://hal.archives-ouvertes.fr/hal-03506094 ; In press (2022)
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| 8 |
Devenir non-binaire en français contemporain
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In: https://hal.archives-ouvertes.fr/hal-03562909 ; Le Manuscrit, 2022, Genre(s) et création, 9782304052428 ; https://lemanuscrit.fr/livres/devenir-non-binaire/ (2022)
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| 9 |
Le Post-it, le président, les mèmes et nous
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In: ISSN: 2431-2134 ; The Conversation ; https://halshs.archives-ouvertes.fr/halshs-03563945 ; The Conversation, The Conversation France, 2022 (2022)
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| 10 |
L’assistance au récit d’asile ou l’engagement par la conformité. Un exemple de médiation glottopolitique
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In: EISSN: 1769-7425 ; Glottopol ; https://hal.archives-ouvertes.fr/hal-03608513 ; Glottopol, Université de Rouen, Laboratoire Dylis, 2022, Glottopolitiques engagées et solidaires : contextes, idéologies, histoire, ⟨10.4000/glottopol.1521⟩ (2022)
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| 11 |
Description of the linguistic expressions of fractions
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In: https://hal.archives-ouvertes.fr/hal-03428096 ; 2022 (2022)
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| 12 |
Contra Automata: Pride and Prejudice? ; Contra Automata : orgueil et préjugés ?
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In: https://halshs.archives-ouvertes.fr/halshs-03555988 ; 2022 (2022)
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| 13 |
Domestic Ubimus
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In: EISSN: 2409-9708 ; EAI Endorsed Transactions on Creative Technologies ; https://hal-hprints.archives-ouvertes.fr/hprints-03602695 ; EAI Endorsed Transactions on Creative Technologies, EAI - European Alliance for Innovation, 2022, ⟨10.4108/eai.22-2-2022.173493⟩ (2022)
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| 14 |
Trouver ‘l’aujourd’hui’ d’Abū al-Makārim? Le cas de la description du monastère Saint-Macaire dans l’Histoire des églises et des monastères d’Égypte: une étude des sources
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In: Etudes coptes XVII. Dix-neuvième journée d’études (Ottawa, 19-22 juin 2019) ; https://halshs.archives-ouvertes.fr/halshs-03510611 ; Anne Boud'hors; Jitse Dijkstra; Esther Garel. Etudes coptes XVII. Dix-neuvième journée d’études (Ottawa, 19-22 juin 2019), A paraître (2022)
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| 15 |
Histoire de peuple Bale
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In: ISSN: 2673-7604 ; EISSN: 2673-7604 ; Revue d’histoire contemporaine de l’Afrique ; https://hal.archives-ouvertes.fr/hal-03609252 ; Revue d’histoire contemporaine de l’Afrique, Université de Genève, 2022 (2022)
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Game of Grounds
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In: Objects, Structures, and Logics ; https://hal.archives-ouvertes.fr/hal-03602786 ; Objects, Structures, and Logics, 339, Springer International Publishing, pp.259-286, 2022, Boston Studies in the Philosophy and History of Science, ⟨10.1007/978-3-030-84706-7_10⟩ (2022)
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| 17 |
Introduction
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In: ISSN: 2102-7188 ; EISSN: 2109-9472 ; Questes : revue pluridisciplinaire d’études médiévales ; https://hal.archives-ouvertes.fr/hal-03586632 ; Questes : revue pluridisciplinaire d’études médiévales, Association des amis de Questes, 2022, pp.8 - 25. ⟨10.4000/questes.5889⟩ (2022)
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| 18 |
Engagements institutionnels. Enjeux glottopolitiques de l’interprétation dans les instances décisionnaires de l’asile en France
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In: EISSN: 1769-7425 ; Glottopol ; https://hal.archives-ouvertes.fr/hal-03624507 ; Glottopol, Université de Rouen, Laboratoire Dylis, 2022, ⟨10.4000/glottopol.1653⟩ (2022)
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| 19 |
Sanfte Zitrone. Die Erstgeborene ; Soft lemon. The Firstborn ; Dulce limón. La primogénita ; Citron doux. L’Aînée ; Dolce limone. La primogenita ; Suave limão. A primogênita
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In: ISSN: 0963-9489 ; EISSN: 1469-9869 ; Modern and Contemporary France ; https://hal.archives-ouvertes.fr/hal-03610515 ; Modern and Contemporary France, Taylor & Francis (Routledge), 2022, pp.1-2. ⟨10.1080/09639489.2022.2030692⟩ (2022)
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| 20 |
« “Twitta” “Intellectuelle” “Influenceuse” ? Être enseignante-chercheuse sur twitter »
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In: ISSN: 1763-0061 ; EISSN: 1963-1812 ; Tracés : Revue de Sciences Humaines ; https://hal.archives-ouvertes.fr/hal-03592945 ; Tracés : Revue de Sciences Humaines, ENS Éditions, A paraître (2022)
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