Results 21 to 30 of about 87,489 (268)
Derived recollements and generalised AR formulas [PDF]
The Defect Recollement, Restriction Recollement, Auslander-Gruson-Jensen Recollement, and others, are shown to be instances of a general construction using derived functors and methods from stable module theory. The right derived functors $\textsf{W}_k:=R_k(\hspace{0.05cm}\underline{\ \ }\hspace{0.1cm} )^*$ are computed and it is shown that the functor
Dean, Samuel, Russell, Jeremy
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New Fractional Cancer Mathematical Model via IL-10 Cytokine and Anti-PD-L1 Inhibitor
In this study, we explore a recent biological model created to analyze the behavior of cancer cells by administering a dose of a drug containing anti-PD-L1 and IL-10 with the Caputo and Atangana–Baleanu derivative in the Caputo sense (ABC).
Esmehan Uçar, Necati Özdemir
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Analogues of Jacobi’s derivative formula [PDF]
In this paper, we obtain analogues of Jacobi's derivative formula in terms of the theta constants with rational characteristics. For this purpose, we use the arithmetic formulas of the number of representations of a natural number $n,\,\,(n=1,2,\ldots)$ as the sum of two squares, or the sum of a square and twice a square.
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Generalization of the formula of Faa di Bruno for a composite function with a vector argument
The paper presents a new explicit formula for the nth total derivative of a composite function with a vector argument. The well-known formula of Faa di Bruno gives an expression for the nth derivative of a composite function with a scalar argument.
Rumen L. Mishkov
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Derivative polynomials and closed-form higher derivative formulae [PDF]
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 polynomials in terms of the same functions.
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In this study, we investigate the position and momentum Shannon entropy, denoted as Sx and Sp, respectively, in the context of the fractional Schrödinger equation (FSE) for a hyperbolic double well potential (HDWP).
R. Santana-Carrillo +3 more
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Auslander's formula shows that any abelian category \mathsf C is equivalent to the category of coherent functors on \mathsf C modulo the Serre subcategory of all ...
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Caputo-Fabrizio approach to numerical fractional derivatives
Fractional calculus is an essential tool in every area of science today. This work gives the quadratic interpolation-based L1-2 formula for the Caputo-Fabrizio derivative, a numerical technique for approximating the fractional derivative.
Shankar Pariyar, Jeevan Kafle
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In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
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Two generalizations of Jacobi’s derivative formula [PDF]
final version, to ...
Grushevsky, Samuel +1 more
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