Results 41 to 50 of about 96,341 (238)
Light, Gravity and Matter (with emphasis on thermo-gravity waves) [PDF]
INCAS BulletinWhat are light, gravity, and regenerating matter? Where do they originate and where do they go? The answers to these questions lie in one of the most powerful equations ever discovered: Euler's formula (i.e., complex analysis).
Horia DUMITRESCU +2 more
doaj +1 more source
Spanning eulerian subdigraphs in semicomplete digraphs
Journal of Graph Theory, Volume 102, Issue 3, Page 578-606, March 2023., 2023 Abstract A digraph is eulerian if it is connected and every vertex has its in‐degree equal to its out‐degree. Having a spanning eulerian subdigraph is thus a weakening of having a hamiltonian cycle. In this paper, we first characterize the pairs (D,a) $(D,a)$ of a semicomplete digraph D $D$ and an arc a $a$ such that D $D$ has a spanning eulerian ...
Jørgen Bang‐Jensen +2 more
wiley +1 more source
Analysis of Bell based Euler polynomials and thier application [PDF]
arXiv, 2021 In the present article, we study Bell based Euler polynomial of order {\alpha} and investigate some useful correlation formula, summation formula and derivative formula. Also, we introduce some relation of string number of the second kind. Moreover, we drive several important formulae of bell based Euler polynomial by using umbral calculus.
arxiv
Evaluating a double integral using Euler's method and Richardson extrapolation
Lietuvos Matematikos RinkinysWe transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13).
Justin Steven Calder Prentice
doaj +1 more source
Parametric Euler Sums of Harmonic Numbers [PDF]
arXiv, 2022 We define a parametric variant of generalized Euler sums and construct contour integration to give some explicit evaluations of these parametric Euler sums. In particular, we establish several explicit formulas of (Hurwitz) zeta functions, linear and quadratic parametric Euler sums. Furthermore, we also give an explicit evaluation of alternating double
arxiv
Advanced Engineering Materials, EarlyView.Using novel probe‐based metrics, this study evaluates lattice structures on criteria critical to cellular solid optimization. Triply‐periodic minimal surface (TPMS) lattices outperform other lattices, offering more predictable mechanical behavior in complex design spaces and, as a result, higher performance in optimized models.
Firas Breish +2 more
wiley +1 more source
Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley +1 more source
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.
openaire +3 more sources
Predicting 2D Crystal Packing in Thin Films of Small Molecule Organic Materials
Advanced Functional Materials, EarlyView.A computational method is proposed for predicting the 2D molecular packing in crystalline thin films of flexible organic molecules. The approach employs a grid search for molecular arrangements, achieving accurate predictions of 2D packing motifs with strongly reduced computational costs.
Alexey O. Gudovannyy +6 more
wiley +1 more source
Flexible 3D Kirigami Probes for In Vitro and In Vivo Neural Applications
Advanced Materials, EarlyView.A customizable and scalable approach to fabricate flexible 3D kirigami microelectrode arrays (MEAs) featuring up to 128 shanks, including surface and penetrating electrodes designed to interact with the 3D space of neural tissue, is presented. The 3D kirigami MEAs are successfully deployed in several neural applications, both in vitro and in vivo, and ...
Marie Jung +10 more
wiley +1 more source