Results 31 to 40 of about 6,793 (328)
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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A recovery of Brouncker's proof for the quadrature continued fraction [PDF]
, 2006 350 years ago in Spring of 1655 Sir William Brouncker on a request by John Wallis obtained a beautiful continued fraction for 4/π. Brouncker never published his proof. Many sources on the history of Mathematics claim that this proof was lost forever.
Khrushchev, Sergey
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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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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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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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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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Discrete Jordan Curve Theorem: A proof formalized in Coq with hypermaps [PDF]
, 2008 This paper presents a formalized proof of a discrete form of the Jordan Curve Theorem. It is based on a hypermap model of planar subdivisions, formal specifications and proofs assisted by the Coq system. Fundamental properties are proven by structural or
Dufourd, Jean-François
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Solutions of fractional logistic equations by Euler's numbers
, 2017 In this paper, we solve in the convergence set, the fractional logistic equation making use of Euler's numbers. To our knowledge, the answer is still an open question. The key point is that the coefficients can be connected with Euler's numbers, and then
D'Ovidio, Mirko, Loreti, Paola
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Generalized Summation Formulas for the Kampé de Fériet Function
Axioms, 2021 By employing two well-known Euler’s transformations for the hypergeometric function 2F1, Liu and Wang established numerous general transformation and reduction formulas for the Kampé de Fériet function and deduced many new summation formulas for the ...
Junesang Choi +2 more
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