Results 21 to 30 of about 528,533 (276)
Coccolith arrangement follows Eulerian mathematics in the coccolithophore Emiliania huxleyi [PDF]
PeerJ, 2018 Background The globally abundant coccolithophore, Emiliania huxleyi, plays an important ecological role in oceanic carbon biogeochemistry by forming a cellular covering of plate-like CaCO3 crystals (coccoliths) and fixing CO2. It is unknown how the cells
Kai Xu, David Hutchins, Kunshan Gao
doaj +2 more sources
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
doaj +1 more source
General Euler-Boole's and dual Euler-Boole's formulae [PDF]
Mathematical Inequalities & Applications, 2005 The aim of this talk is to give general Euler-Boole's and dual Euler-Boole's formulae. More precisely, we derive formulae of Boole type where the integral is approximated not only with the values of the function in certain points but also with values of its derivatives up to (2n-1)-th order in end points of the interval. Our method produces formulae of
Pečarić, Josip +2 more
openaire +4 more sources
, 2011 Let the number of vertices, edges, and faces of a polyhedron be V, E, and F. The Euler characteristic, V-F+E, is always 2 for convex polyhedra. This Demonstration shows Euler's polyhedral formula V+F-E=2 for the Platonic solidsEducação Superior::Ciências
Zenil, Hector
core +3 more sources
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
doaj +1 more source
Multiple zeta values and Euler's reflection formula for the gamma function [PDF]
, 2023 In this paper, we give a purely algebraic proof of an identity coming directly from Euler's reflection formula for the gamma function.
Sakata, Mika, Ikeda, Karin
core +1 more source
On Euler’s decomposition formula for $$q$$ q MZVs [PDF]
The Ramanujan Journal, 2014 In this short and elementary note we derive a q-generalization of Euler's decomposition formula for the qMZVs recently introduced by Y. Ohno, J. Okuda, and W. Zudilin. This answers a question posed by these authors in [10].
Medina, Jaime Castillo +2 more
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Reflections on Euler's reflection formula and an additive analogue of Legendre's duplication formula [PDF]
, 2020 In this note, we look at some of the less explored aspects of the gamma function. We provide a new proof of Euler's reflection formula and discuss its significance in the theory of special functions.
Goenka, Ritesh +1 more
core +1 more source