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Há 5 dias · Use of Newton's method to compute square roots. Newton's method is one of many known methods of computing square roots. Given a positive number a, the problem of finding a number x such that x2 = a is equivalent to finding a root of the function f(x) = x2 − a. The Newton iteration defined by this function is given by.
Há 4 dias · La publicación de su obra «Method of Fluxions» en 1671 marcó el comienzo de su trabajo en cálculo, aunque su trabajo no fue ampliamente reconocido hasta décadas más tarde. Newton también desarrolló el teorema del binomio, una importante herramienta matemática utilizada en el estudio del álgebra y la combinatoria.
Há 6 dias · The lattice Boltzmann methods (LBM), originated from the lattice gas automata (LGA) method (Hardy-Pomeau-Pazzis and Frisch-Hasslacher-Pomeau models), is a class of computational fluid dynamics (CFD) methods for fluid simulation.
Há 1 dia · This paper establishes a novel technique, which is called the G-double-Laplace transform. This technique is an extension of the generalized Laplace transform. We study its properties with examples and various theorems related to the G-double-Laplace transform that have been addressed and proven. Finally, we apply the G-double-Laplace transform decomposition method to solve the nonlinear sine ...
Há 5 dias · In numerical analysis, the Runge–Kutta methods ( English: / ˈrʊŋəˈkʊtɑː / ⓘ RUUNG-ə-KUUT-tah [1]) are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. [2] .
Há 2 dias · Archimedes used the method of exhaustion to calculate the area under a parabola in his work Quadrature of the Parabola. Ibn al-Haytham, 11th- century Arab mathematician and physicist Calculations of volume and area, one goal of integral calculus, can be found in the Egyptian Moscow papyrus (c. 1820 BC), but the formulae are simple instructions, with no indication as to how they were obtained.
Há 3 dias · However, his most important achievements in analytic geometry, algebra, and calculus have been made from 1664 to 1696, when the binomial theorem, new methods for expansion of infinite series, and the method of fluxions have been discovered.
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