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Infinitesimal Probabilities [PDF]
The British Journal for the Philosophy of Science, 2018 Non-Archimedean probability functions allow us to combine regularity with perfect additivity. We discuss the philosophical motivation for a particular choice of axioms for a non-Archimedean probability theory and answer some philosophical objections that have been raised against infinitesimal probabilities in general.
Benci, Vieri +2 more
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Infinitesimal Hecke Algebras II [PDF]
, 2009 For W a finite (2-)reflection group and B its (generalized) braid group, we determine the Zariski closure of the image of B inside the corresponding Iwahori-Hecke algebra. The Lie algebra of this closure is reductive and generated in the group algebra of
Ivan Marin, Universite ́ Paris
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Uncovering causal gene-tissue pairs and variants through a multivariate TWAS controlling for infinitesimal effects [PDF]
Nature CommunicationsTranscriptome-wide association studies (TWAS) are commonly used to prioritize causal genes underlying associations found in genome-wide association studies (GWAS) and have been extended to identify causal genes through multivariate TWAS methods. However,
Yihe Yang +2 more
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On Infinitesimal L_ω-smooth Functions.
Zanco Journal of Pure and Applied Sciences, 2022 The aim of this paper is to study smoothness, approximate continuity, and approximate derivative in a nonstandard manner with respect to infinitesimal parameters.
Ibrahim O. Hamad
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Interpretation of the Origin by F. Rosenzweig and M. Heidegger
RUDN Journal of Philosophy, 2022 The research focuses on the problem of interpretation of such a concept as the origin, which is ultimate for philosophical thought and bases existentially oriented constructions of Franz Rosenzweig and Martin Heidegger.
Maksim F. Litvinov
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A Study on Pre-service Teachers' Discourse about Infinitesimals, Infinite Numbers, and Limits
Journal of Educational Research in Mathematics, 2021 This study investigated seven pre-service teachers’ (who studied analysis) conceptions about infinitesimals, infinite numbers, and explanation methods of limits. Some pre-service teachers thought that infinitesimals and infinite numbers existed.
Seungju Baek, Jihyun Lee
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NONSTANDARD COMPLETION OF NON-COMPLETE METRIC SPACE
Zanco Journal of Pure and Applied Sciences, 2021 Our aim in this study is to establishing nonstandard foundations, definitions and theorems for completion a noncomplete metric spaces. We have a lot of space or sets X which agree with all usual properties of complete, except at a small size subset of it.
Ala Omer Hassan, Ibrahim Othman Hamad
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Infinitesimals via Cauchy sequences: Refining the classical equivalence
Open Mathematics, 2021 A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy’s sentiment that a null sequence “becomes” an infinitesimal.
Bottazzi Emanuele, Katz Mikhail G.
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Affine transformations of the tangent bundle of a common path space
Дифференциальная геометрия многообразий фигур, 2023 In this paper, we study infinitesimal transformations of the tangent bundle of a common path space. The general path space is a generalization space of the affine connectivity.
N. D. Nikitin, O. G. Nikitina
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On Infinitesimal Approximation of a Continuous Function [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 If and are convex subsets in , and in for all . If the approximation family is the set An Infinitesimal approximation of an element in established in [4],[5].
Tahir Ismail
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