Results 21 to 30 of about 32,087 (238)
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
An Automatic Proof of Euler's Formula [PDF]
Computer Science Journal of Moldova, 2005 In this information age, everything is digitalized. The encoding of functions and the automatic proof of functions are important. This paper will discuss the automatic calculation for Taylor expansion coefficients, as an example, it can be applied to
Jun Zhang
doaj
, 2012 We introduce the M\"obius polynomial $ M_n(x) = \sum_{d|n} \mu\left( \frac nd \right) x^d $, which gives the number of aperiodic bracelets of length $n$ with $x$ possible types of gems, and therefore satisfies $M_n(x) \equiv 0$ (mod $n$) for all $x \in ...
Murray, Will
core +1 more source
Literature Review of Applying Visual Method to Understand Mathematics
MATEC Web of Conferences, 2015 As a new method to understand mathematics, visualization offers a new way of understanding mathematical principles and phenomena via image thinking and geometric explanation.
Yu Xiaojuan
doaj +1 more source
The Euler’s harmonic holomorphic regenerative universe [PDF]
INCAS BulletinThe Cartesian dualism is a precursor to Euler’s complex theory, that completes the Descartes-Leibnitz monadic conception using the natural quanta (non-splitting e, π) along with their topological torsion in the form of dual isomorphism.
Horia DUMITRESCU +2 more
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
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
Buckling of an axially restrained steel column under fire loading [PDF]
, 2011 Analytical procedure, based on the linearized stability analysis, is presented for the determination of the buckling load and the buckling temperature of a straight, geometrically perfect, axially loaded steel column subjected to an increasing ...
Hozjan, Tomaž +3 more
core +1 more source
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
core +6 more sources