Results 31 to 40 of about 262 (105)
On a rigidity property for quadratic gauss sums
Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
wiley +1 more source
Free vibrations of functionally graded porous hanging and standing cantilever beams
The free oscillations of a functionally graded (FG) porous vertical cantilever beam in the frame work of Euler–Bernoulli beam theory is investigated. The beam is subjected to the gravity-load and the properties of the FG material such as the modulus of ...
Ma’en S Sari, Shirko Faroughi
doaj +1 more source
One‐level densities in families of Grössencharakters associated to CM elliptic curves
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley +1 more source
A research gap exists concerning how different chaotic mappings influence the applicability of metaheuristic algorithms, along with inherent limitations of the traditional artificial hummingbird algorithm (AHA). Specifically, blind spots in population coverage and vulnerability to local optima stemming from random initialization.
Wenli Ma +3 more
wiley +1 more source
How Accurate is Richardson's Error Estimate?
ABSTRACT We consider the fundamental problem of estimating the difference between the exact value T$$ T $$ and approximations Ah$$ {A}_h $$ that depend on a single real parameter h$$ h $$. It is well‐known that if the error Eh=T−Ah$$ {E}_h=T-{A}_h $$ satisfies an asymptotic expansion, then we can use Richardson extrapolation to approximate Eh$$ {E}_h $$
Carl Christian Kjelgaard Mikkelsen +1 more
wiley +1 more source
Launch Uncertainty Analysis Under Barrel Erosion Using Experiments and Random Matrix Theory
ABSTRACT The effects of barrel erosion on artillery firing performance have long been a subject of concern, but its effect on launch uncertainty has yet to be investigated. This article explores the influence of barrel erosion on the interior ballistic mechanical properties and launch disturbances.
Chengyuan Guo +5 more
wiley +1 more source
Abstract Observations of fluid‐driven swarm seismicity expanding with the same diffusive space‐time behavior as analytical solutions for aseismic slip have been interpreted as evidence that stress changes from aseismic slip trigger seismic slip. In some cases, aseismic slip is confirmed from crustal deformation measurements or sheared wellbore casing ...
Natalia Berrios‐Rivera +2 more
wiley +1 more source
Taking limits in topological recursion
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
Thermal Convection in a Sixth‐Order Generalized Navier–Stokes Fluid
ABSTRACT In this work, we deal with a problem of thermal convection for a fluid satisfying Navier–Stokes equation containing the spatial derivatives of the velocity field of sixth order, with the introduction of a tri‐Laplacian term. It was pointed out by several authors, for example, Fried and Gurtin, that contributions of higher order take into ...
Giulia Giantesio +5 more
wiley +1 more source
On Artin's conjecture on average and short character sums
Abstract Let Na(x)$N_a(x)$ denote the number of primes up to x$x$ for which the integer a$a$ is a primitive root. We show that Na(x)$N_a(x)$ satisfies the asymptotic predicted by Artin's conjecture for almost all 1⩽a⩽exp((loglogx)2)$1\leqslant a\leqslant \exp ((\log \log x)^2)$. This improves on a result of Stephens (1969).
Oleksiy Klurman +2 more
wiley +1 more source

