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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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| 4 |
[Rezension zu:] Grund und Grenze des Verstehens : Theologie und Hermeneutik im Anschluss an Friedrich Schleiermacher / Florian Priesemuth. - Berlin: De Gruyter, 2020 (Schleiermacher-Archiv ; 32)
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| 5 |
Political economy of smart cities and the Human Rights: from corporative technocracy to sensibility
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In: Revista de Direito Internacional; v. 19, n. 1 (2022): International Law and climate litigation ; 2237-1036 ; 2236-997X (2022)
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"Dubium" dans l'oeuvre de Nicolas de Cues
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In: Le doute dans l’Europe moderne ; https://hal.archives-ouvertes.fr/hal-03568240 ; Le doute dans l’Europe moderne, A paraître (2022)
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Lexical innovation and the periphery of language
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In: ISSN: 0165-0157 ; EISSN: 1573-0549 ; Linguistics and Philosophy ; https://hal.archives-ouvertes.fr/hal-03635391 ; Linguistics and Philosophy, Springer Verlag, 2022, 45 (1), pp.39-63. ⟨10.1007/s10988-020-09319-2⟩ (2022)
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| 8 |
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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| 9 |
The contextual logic
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In: https://hal.archives-ouvertes.fr/hal-03195162 ; 2022 (2022)
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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 |
Dialogical Logic
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In: ISSN: 1095-5054 ; Stanford Encyclopedia of Philosophy ; https://hal.archives-ouvertes.fr/hal-03651225 ; 2022, https://plato.stanford.edu/archives/sum2022/entries/logic-dialogical/ (2022)
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| 16 |
Michel Foucault, lecteur de la philosophie analytique (Tunis, 1967)
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In: ISSN: 0761-2990 ; EISSN: 1957-780X ; Semen - Revue de sémio-linguistique des textes et discours ; https://hal-ens-lyon.archives-ouvertes.fr/ensl-03598230 ; Semen - Revue de sémio-linguistique des textes et discours, Presses Universitaires de l'Université de Franche Comté (Pufc), 2022, Sources, itinéraires et prolongements, 50/1 (Déc. 2021), pp.107-126. ⟨10.4000/semen.15988⟩ (2022)
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| 17 |
Around "Around"
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In: Measurement, Numerals and Scales: Essays in honor of Stephanie Solt ; https://hal.archives-ouvertes.fr/hal-03511936 ; Nicole Gotzner, Uli Sauerland. Measurement, Numerals and Scales: Essays in honor of Stephanie Solt, Palgrave Studies in Pragmatics, Language and Cognition, In press (2022)
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| 18 |
Exploring Valence in Judgments of Taste
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In: Perspectives on Taste ; https://hal.archives-ouvertes.fr/hal-03469672 ; Perspectives on Taste, In press (2022)
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| 19 |
Comment bien définir un ordre : Abū al-Ḥusayn al-Baṣrī et al-Ghazālī au sujet de la sincérité du locuteur
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In: Histoire, épistémologie, langage ; https://hal.archives-ouvertes.fr/hal-03508487 ; Histoire, épistémologie, langage, A paraître (2022)
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| 20 |
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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