Results 61 to 70 of about 1,016,972 (289)

Asymptotic Formula for the Moments of Takagi Function

Моделирование и анализ информационных систем, 2016
Takagi function is a simple example of a continuous but nowhere differentiable function. It is defined by T(x) = ∞ ᢘ k=0 2−nρ(2nx), where ρ(x) = min k∈Z |x − k|. The moments of Takagi function are defined as Mn = ᝈ 1 0  xnT(x) dx.
E. A. Timofeev
doaj   +1 more source

On the asymptotic normality of the Legendre-Stirling numbers of the second kind

, 2014
For the Legendre-Stirling numbers of the second kind asymptotic formulae are derived in terms of a local central limit theorem. Thereby, supplements of the recently published asymptotic analysis of the Chebyshev-Stirling numbers are established. Moreover,
Gawronski, Wolfgang, Littlejohn, Lance L., Neuschel, Thorsten   +2 more
core   +1 more source

Molecular Dynamics Studies of Shape Memory Polymers: From Bead–Spring Models to Atomistic Simulations

Advanced Engineering Materials, EarlyView.
Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley   +1 more source

Asymptotic Expansions of Eigenvalues of the First Boundary Problem for Singularly Perturbed Second Order Differential Equation with Turning Points

Моделирование и анализ информационных систем, 2016
For singularly perturbed second order equations the dependence of eigenvalues of the first boundary problem on a small parameter at the highest derivative is studied.
S. A. Kashchenko
doaj   +1 more source

New Equivalence Tests for Hardy–Weinberg Equilibrium and Multiple Alleles

Stats, 2020
We consider testing equivalence to Hardy−Weinberg Equilibrium in case of multiple alleles. Two different test statistics are proposed for this test problem. The asymptotic distribution of the test statistics is derived.
Vladimir Ostrovski
doaj   +1 more source

Gauge-invariant Hamiltonian dynamics of cylindrical gravitational waves

, 2003
The model of cylindrical gravitational waves is employed to work out and check a recent proposal in Ref. [11] how a diffeomorphism-invariant Hamiltonian dynamics is to be constructed.
A. Ashtekar, A. Ashtekar, A. Ashtekar, A. Ashtekar, B. C. DeWitt, C. G. Torre, C. G. Torre, C. Rovelli, C. Rovelli, C. Rovelli, Guido Beck, Ioannis Kouletsis, J. Bičák, J. J. Stachel, J. Weber, Jiří Bičák, K. V. Kuchař, K. V. Kuchař, K. V. Kuchař, P. G. Bergmann, P. Hájíček, P. Hájíček, P. Hájíček, P. Hájíček, Petr Hájíček, R. Beig, R. Gambini, W. B. Bonnor   +27 more
core   +1 more source

Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films

Advanced Functional Materials, EarlyView.
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram, Sophie Meißner, Stephan Kümmel   +2 more
wiley   +1 more source

Polylogarithms and the Asymptotic Formula for the Moments of Lebesgue’s Singular Function

Моделирование и анализ информационных систем, 2016
Recall the Lebesgue's singular function. We define a Lebesgue's singular function \(L(t)\) as the unique continuous solution of the functional equation$$L(t) = qL(2t) +pL(2t-1),$$where \(p,q>0\), \(q=1-p\), \(p\ne q\).The moments of Lebesque' singular
E. A. Timofeev
doaj   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source