Results 21 to 30 of about 90,046 (266)
Integration formulae involving derivatives [PDF]
Mathematics of Computation, 1969 A method, developed by Hammer and Wicke, for deriving high precision integration formulae involving derivatives is modified. It is shown how such formulae may be simply derived in terms of well-known polynomials.
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An extension of Wolpert’s derivative formula [PDF]
Pacific Journal of Mathematics, 2001 A well known formula, of Wolpert expresses the derivative of length of a geodesic \(\gamma\) on a hyperbolic surface with respect to the Fenchel Nielsen twist about a fixed simple geodesic \(C\) as a sum of the cosines of the intersection angles between the two curves. The author derives an analogous formula for the derivative of the length of \(\gamma\
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Quadrature formulas using derivatives [PDF]
Mathematics of Computation, 1965 1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
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Generalization of the formula of Faa di Bruno for a composite function with a vector argument
International Journal of Mathematics and Mathematical Sciences, 2000 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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An Intuitive Derivation of Heron's Formula [PDF]
The American Mathematical Monthly, 2004 From elementary geometry we learn that two triangles are congruent if their edges have the same lengths, so it should come as no surprise that the edge lengths of a triangle determine the area of that triangle. On the other hand, the explicit formula for the area of a triangle in terms of its edge lengths, named for Heron of Alexandria (although ...
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Entropy, 2023 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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Formulae for the Derivatives of Heat Semigroups
Journal of Functional Analysis, 1994 We use a basic martingale method to show a differentiation formula for the derivatives $$d(P_tf)(x_0)(v_0)={1\over t} E f(x_t) \int_0^t \langle Y(x_s)(v_s),dB_t\rangle_{R^m}.$$ These are proved first on $R^n$, then on manifolds. Afterwards for solutions of heat equations on differential forms, and a second order formula.
Elworthy, K.D., Li, X.M.
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Documenta Mathematica, 2015 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
Bibechana, 2023 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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Fractal and Fractional, 2019 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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