Results 31 to 40 of about 332,668 (285)

Asymptotic Formulas and Generalized Dedekind Sums [PDF]

Experimental Mathematics, 1998
We find asymptotic formulas as $n\to\infty$ for the coefficients $a(r\hbox{,}\,n)$ defined by $$ \prod_{\nu=1}^\infty\,(1-x^\nu)^{-\nu^r} =\sum_{n=0}^\infty a(r\hbox{,}\,n)x^n\hbox{.} $$ (The case $r=1$ gives the number of plane partitions of $n$.) Generalized Dedekind sums occur naturally and are studied using the Finite Fourier Transform. The methods
openaire   +2 more sources

Asymptotic ω-Primality of Finitely Generated Cancelative Commutative Monoids

Mathematics, 2023
The computation of ω-primality has been object of study, mainly, for numerical semigroups due to its multiple applications to the Factorization Theory. However, its asymptotic version is less well known.
Juan Ignacio García-García, Daniel Marín-Aragón, Alberto Vigneron-Tenorio   +2 more
doaj   +1 more source

Semiclassical Analysis of the Wigner $9J$-Symbol with Small and Large Angular Momenta

, 2011
We derive a new asymptotic formula for the Wigner $9j$-symbol, in the limit of one small and eight large angular momenta, using a novel gauge-invariant factorization for the asymptotic solution of a set of coupled wave equations.
A. F. Nikiforov, A. P. Yutsis, A. R. Edmonds, D. A. Varshalovich, D. M. Brink, G. Ponzano, J. K. G. Watson, J. Schwinger, L. C. Biedenharn, Liang Yu, Robert G. Littlejohn   +10 more
core   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

On an asymptotic formula for the niven numbers

International Journal of Mathematics and Mathematical Sciences, 1985
A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbers less than x. A partial result will be presented.
Curtis N. Cooper, Robert E. Kennedy
doaj   +1 more source

Dynamical analysis of a heroin–cocaine epidemic model with nonlinear incidence and spatial heterogeneity

Journal of Biological Dynamics, 2023
In this paper, we investigated a new heroin–cocaine epidemic model which incorporates spatial heterogeneity and nonlinear incidence rate. The main project of this paper is to explore the threshold dynamics in terms of the basic reproduction number ...
Jinhu Xu
doaj   +1 more source

Current Tracking Adaptive Control of Brushless DC Motors

International Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García, Axel Coronado‐Andrade, Gerardo Espinosa‐Pérez, Luis Alvarez‐Icaza   +3 more
wiley   +1 more source

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

ABEL-TAUBER PROCESS AND ASYMPTOTIC FORMULAS

Kyushu Journal of Mathematics, 2017
Summary: The Abel-Tauber process consists of the abelian process of forming the Riesz sums and the subsequent Tauberian process of differencing the Riesz sums, an analogue of the integration-differentiation process. In this article, we use the Abel-Tauber process to establish an interesting asymptotic expansion for the Riesz sums of arithmetic ...
Banerjee, D., Chakraborty, K., Kanemitsu, S., Maji, B.   +3 more
openaire   +3 more sources

The Effect of Amino Acids on the Formation of Amorphous Calcium Carbonate Nanoparticles

Advanced Functional Materials, EarlyView.
Biomineral formation often proceeds via the assembly of amorphous calcium carbonate (ACC) nanoparticles with narrow size distributions. Using in situ SAXS coupled to a stopped‐flow device, we follow synthetic ACC formation with a 10 ms time resolution and show that amino acids narrow the size distribution at low supersaturation, highlighting their key ...
Lucas Kuhrts, Hadar Shaked, Johanna Sklar, Almog Sulam, Iryna Polishchuk, Elena Prudnikov, Gouranga Manna, Michael Sztucki, Sylvain Prevost, Alexander Katsman, Boaz Pokroy   +10 more
wiley   +1 more source