Results 31 to 40 of about 6,695 (326)
Unification Theories: Means and Generalized Euler Formulas
Axioms, 2020 The main concepts in this paper are the means and Euler type formulas; the generalized mean which incorporates the harmonic mean, the geometric mean, the arithmetic mean, and the quadratic mean can be further generalized.
Radu Iordanescu +2 more
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Complex Numbers Related to Semi-Antinorms, Ellipses or Matrix Homogeneous Functionals
Axioms, 2021 We generalize the property of complex numbers to be closely related to Euclidean circles by constructing new classes of complex numbers which in an analogous sense are closely related to semi-antinorm circles, ellipses, or functionals which are ...
Wolf-Dieter Richter
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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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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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UNUSUAL FORMULAE FOR THE EULER CHARACTERISTIC [PDF]
Journal of Knot Theory and Its Ramifications, 2002 Everyone knows that the Euler characteristic of a combinatorial manifold is given by the alternating sum of its numbers of simplices. It is shown that there are other linear combinations of the numbers of simplices which are combinatorial invariants, but that all such invariants are multiples of the Euler characteristic.
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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 dual Euler-Simpson formulae
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2001 The dual Euler-Simpson formulae are given. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, are proved. The results are applied to obtain the error estimates for some quadrature rules.
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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