Results 11 to 20 of about 261,851 (366)
Procedures of Leibnizian infinitesimal calculus: an account in three modern frameworks [PDF]
British Journal for the History of Mathematics, 2020 Recent Leibniz scholarship has sought to gauge which foundational framework provides the most successful account of the procedures of the Leibnizian calculus (LC). While many scholars (e.g.
J. Bair +4 more
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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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The infinitesimal generator of the stochastic Burgers equation [PDF]
Probability theory and related fields, 2018 We develop a martingale approach for a class of singular stochastic PDEs of Burgers type (including fractional and multi-component Burgers equations) by constructing a domain for their infinitesimal generators.
Massimiliano Gubinelli +1 more
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On the torsional energy of torus knots under infinitesimal bending
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 The article deals with the infinitesimal bending theory application to the knots theory. The impact of infinitesimal bending on the torsional energy at torus knots is considered, and the results show that it is not stationary under infinitesimal bending.
Maksimović Miroslav D. +4 more
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A Class of Multirate Infinitesimal GARK Methods [PDF]
SIAM Journal on Numerical Analysis, 2018 Differential equations arising in many practical applications are characterized by multiple time scales. Multirate time integration seeks to solve them efficiently by discretizing each scale with a different, appropriate time step, while ensuring the ...
Adrian Sandu
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