Results 21 to 30 of about 637 (264)
An Examination of Counterexamples in Proofs and Refutations
Philosophia Scientiæ, 2009 : Lakatos’s seminal work Proofs and Refutations introduced the methods of proofs and refutations by discussing the history and methodological development of Euler’s formula V — E+F = 2 for three dimensional polyhedra.
Samet Bağçe, Can Başkent
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Euler?s Exponential Formula for Semigroups [PDF]
Semigroup Forum, 2004 In this paper, the author presents several generalizations of Euler's exponential formula for some semigroups, which are not \(C_0\)-semigroups.
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Euler's Polyhedron Formula [PDF]
Formalized Mathematics, 2008 where V , E, and F are, respectively, the number of vertices, edges, and faces of p. The formula was first stated in print by Euler in 1758 [11]. The proof given here is based on Poincare’s linear algebraic proof, stated in [17] (with a corrected proof in [18]), as adapted by Imre Lakatos in the latter’s Proofs and Refutations [15].
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, 2002 In q-calculus, the Jackson formula (19.2) provides a way to compute explicitly a q-antiderivative of any function. Recall that the Jackson formula was deduced formally using operators. We will do a similar thing for the h-antiderivative in this chapter.
Victor Kac, Pokman Cheung
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Revista de Educación Matemática, 2021 Dado un triangulo cualquiera siempre podemos determinar dos circunferencias relacionadas con él: la circunecripta y la inscripta. La fórmula de Euler nos da la relación que existe entre los radios de dichas circunferencias. A fin de obtener esta propiedad, pasemos a enunciar los elementos y propiedades que necesitaremos, seguramente bien conocidos.
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On Euler midpoint formulae [PDF]
The ANZIAM Journal, 2005 AbstractModified versions of the Euler midpoint formula are given for functions whose derivatives are either functions of bounded variation, Lipschitzian functions or functions in Lp-spaces. The results are applied to quadrature formulae.
Dedić, Lj., Matić, M., Pečarić, J.
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Computation, 2023 This study introduces an approach for modeling an arm of a Stewart platform to analyze the location of sections with a high deflection among the arms. Given the dynamic nature of the Stewart platform, its arms experience static and dynamic loads.
Reza Hassanian, Morris Riedel
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On a Conjecture of Alzer, Berg, and Koumandos
Mathematics, 2020 In this paper, we find a solution of an open problem posed by Alzer, Berg, and Koumandos: determine ( α , m ) ∈ R + × N such that the function x α | ψ ( m ) ( x ) | is completely monotonic on ( 0 , ∞ ) , where ψ (
Ladislav Matejíčka
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Analysis of Buckling Characteristics and Parameter Influence of Composite Thin-walled Lenticular Boom Structures [PDF]
E3S Web of Conferences, 2021 The stretchable composite thin-walled lenticular boom can be used in the unfolding process of a large spacecraft structure, and its buckling characteristic is one of the focuses of structural design.
Yao Zhichao +3 more
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Engineering, MAthematics and Computer Science (EMACS) Journal, 2022 This paper discusses the derivation of Euler's formula. To obtain this model, the writer derives Euler's formula from ex+iy by first finding the norm and argument of ex+iy. In this derivation we substitute the norm and argument of ex+iy on complex numbers in polar coordinates, until we get the derivation of Euler's formula.
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