Results 31 to 40 of about 93,941 (183)
Order Statistics and Benford's Law [PDF]
, 2008 Fix a base B and let zeta have the standard exponential distribution; the distribution of digits of zeta base B is known to be very close to Benford's Law.
J. Nigrini, Mark, Steven J. Miller
core +4 more sources
Intelligent Acousto‐Electrical Metamaterials (IAM) for Sound Source Detection
Advanced Materials, EarlyView.Our proposed metamaterial concept enables sound source detection using a single material, in contrast to conventional arrays that require dozens or even hundreds of transducers. We show that the coupled acoustic–vibrational–electrical responses in piezoelectric metamaterials give rise to topology‐governed charge transport, producing distinct voltage ...
Victor Couëdel +7 more
wiley +1 more source
The Quantum Electromagnetic Field in the Weyl–Wigner Representation
UniverseThe quantum electromagnetic (EM) field is formulated in the Weyl–Wigner representation (WW), which is equivalent to the standard Hilbert space one (HS).
Emilio Santos
doaj +1 more source
On the Distribution of ap Modulo One
Journal of Number Theory, 1993 AbstractIn this paper, we prove: "Suppose α is an irrational number and let ||y|| denote the smallest distance of y from an integer. Then, for any real number β, there are infinitely many primes p such that ||αp − β|| < p−4/13."
openaire +1 more source
On a unified theory of numbers [PDF]
, 2011 We prove that several results in different areas of number theory such as the divergent series, summation of arithmetic functions, uniform distribution modulo one and summation over prime numbers which are currently considered to be independent results ...
Sinha, Nilotpal Kanti, Wolf, Marek
core
Advanced Science, EarlyView.This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
wiley +1 more source
Localization of favorite points for diffusion in random environment [PDF]
, 2006 For a diffusion X_t in a one-dimensional Wiener medium W, it is known that there is a certain process b_x(W) that depends only on the environment W, so that X_t-b_{logt}(W) converges in distribution as t goes to infinity.
Cheliotis, Dimitrios
core
Synchronization‐Dissipation in the Cardiorespiratory System
Advanced Science, EarlyView.By modeling central nervous coupling and viscoelastic interactions in the cardiorespiratory system we show that synchronization produces a 10% gain in cardiac efficiency in humans. It is surmised that respiratory sinus arrhythmia improves cardiac pumping efficiency by reducing dynamic stress and power dissipation in the pulmonary vasculature.
Joshua R. Border +3 more
wiley +1 more source
Recent Advances in Programmable Metasurfaces and Meta‐Devices
Advanced Electronic Materials, EarlyView.Programmable metasurfaces enable various novel functionalities by dynamically tuning electromagnetic wavefronts. This article provides a comprehensive review of recent advances in microwave and terahertz programmable metasurfaces, covering electrical, thermal, optical, and mechanical control mechanisms.
Linda Shao +4 more
wiley +1 more source
On the distribution of inverses modulo p (II) [PDF]
Acta Arithmetica, 2001 Using \textit{E. Bombieri}'s estimates on exponential sums [Am. J. Math. 88, 71--105 (1966; Zbl 0171.41504)], the author shows that for fixed \(k\), the distance between the least residues of \(a^k\bmod p\) and \(a^{-k}\bmod p\), divided by \(p\), as \(a\) runs through \(1,2,\dots, p-1\), behaves like independent random variables on \([0,1]\).
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