Results 11 to 20 of about 3,057,322 (296)
Fractional Derivative as Fractional Power of Derivative [PDF]
International Journal of Mathematics. Vol.18. No.3. (2007) 281-299, 2007 Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator.
Berezin F. A. +25 more
arxiv +4 more sources
Reverse Derivative Categories [PDF]
, 2019 The reverse derivative is a fundamental operation in machine learning and automatic differentiation. This paper gives a direct axiomatization of a category with a reverse derivative operation, in a similar style to that given by Cartesian differential ...
Cockett, Robin +6 more
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Derivative Polynomials and Closed-Form Higher Derivative Formulae [PDF]
, 2009 In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are ...
Cvijović, Djurdje
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Exclamation between Basrien and Kufian [PDF]
آداب الرافدين, 1974 Ibn Asfour (d.669) knew exclamation. As an exaggeration in describing the subject, its cause is hidden, and the exclamation point out of it from analogues. Badr al-Din bin Malik knew him, and he was the son of Nazim al-Millennium. That it is the greatest
MoheAldeen Ibrahm
doaj +1 more source
Remote Sensing, 2022 Nitrogen is a major nutrient regulating the physiological processes of plants. Although various partial least squares regression (PLSR) models have been proposed to estimate the leaf nitrogen content (LNC) from hyperspectral data with good accuracies ...
Jia Jin +3 more
doaj +1 more source
Frontiers in Cell and Developmental Biology, 2020 Squalene (Sq) is a natural compound, found in various plant oils, algae, and larger quantity in deep-sea shark liver. It is also known as an intermediate of cholesterol synthesis in plants and animals including humans. Although evidences demonstrated its
Munkhzul Ganbold +7 more
doaj +1 more source
Distributed shape derivative via averaged adjoint method and applications [PDF]
, 2015 The structure theorem of Hadamard-Zol\'esio states that the derivative of a shape functional is a distribution on the boundary of the domain depending only on the normal perturbations of a smooth enough boundary.
Laurain, Antoine, Sturm, Kevin
core +2 more sources
Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems
International Journal of Mathematics and Mathematical Sciences, 2009 We study the strong superconvergence of a semidiscrete finite element scheme for linear parabolic problems on 𝑄=Ω×(0,𝑇], where Ω is a bounded domain in ℛ𝑑(𝑑≤4) with piecewise smooth boundary. We establish the global two order superconvergence results for
Kening Wang, Shuang Li
doaj +1 more source
Students’ Use of Graphs in Understanding the Concepts of Derivative
Southeast Asian Mathematics Education Journal, 2020 Previous research showed that visual utilisation in mathematics classrooms help students in understanding concepts. This study was conducted to assist educators in realising visual reasoning skills in students which can be employed in classroom practices
Haliza Abd Hamid +2 more
doaj +1 more source
Perturbative reduction of derivative order in EFT [PDF]
, 2017 Higher derivative corrections are ubiquitous in effective field theories, which seemingly introduces new degrees of freedom at successive order. This is actually an artefact of the implicit local derivative expansion defining effective field theories. We
Glavan, Dražen
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