Results 61 to 70 of about 1,959,412 (322)

An Asymptotic Formula for the Number of Smooth Values of a Polynomial [PDF]

open access: yes, 1999
Although we expect to find many smooth numbers (i.e., numbers with no large prime factors) among the values taken by a polynomial with integer coefficients, it is unclear what the asymptotic number of such smooth values should be; this is in contrast to ...
G. Martin
semanticscholar   +1 more source

Time‐Resolved Simultaneous Mapping of Thickness and Nanoparticle Concentration in Nanofluid Thin Films via Imaging Ellipsometry and Deep‐UV Reflectance Imaging

open access: yesAdvanced Materials Interfaces, EarlyView.
This study establishes a dual‐channel optical metrology framework integrating phase‐shifting imaging ellipsometry and deep‐UV reflectance imaging. This label‐free approach enables simultaneous, time‐resolved mapping of film thickness and nanoparticle (NP) concentration in dynamic nanofluid thin films.
Eita Shoji   +3 more
wiley   +1 more source

An asymptotic formula for the primitive of Hardy’s function

open access: yes, 2011
Let Z(t) be the classical Hardy function in the theory of Riemann’s zeta-function. An asymptotic formula with an error term O(T1/6log T) is given for the integral of Z(t) over the interval [0,T], with special attention paid to the critical cases when the
M. Jutila
semanticscholar   +1 more source

Backpropagation Through Soft Body: Investigating Information Processing in Brain–Body Coupling Systems

open access: yesAdvanced Robotics Research, EarlyView.
This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka   +3 more
wiley   +1 more source

Measuring Dispersion and Serial Dependence in Ordinal Time Series Based on the Cumulative Paired ϕ-Entropy

open access: yesEntropy, 2021
The family of cumulative paired ϕ-entropies offers a wide variety of ordinal dispersion measures, covering many well-known dispersion measures as a special case.
Christian H. Weiß
doaj   +1 more source

An effective asymptotic formula for the Stieltjes constants

open access: yesMathematics of Computation, 2010
The Stieltjes constants γ k appear in the coefficients in the regular part of the Laurent expansion of the Riemann zeta function ζ(s) about its only pole at s = 1. We present an asymptotic expression for γ k for k >> 1.
C. Knessl, M. Coffey
semanticscholar   +1 more source

An asymptotic formula for the pion decay constant in a large volume [PDF]

open access: yes, 2004
We derive an asymptotic formula a la Luscher for the finite-volume correction to the pion decay constant: this is expressed as an integral over the 〈3 π | A μ |0〉 amplitude after proper subtraction of the pion pole contribution.
G. Colangelo, Christoph Haefeli
semanticscholar   +1 more source

All‐in‐One Underwater Quality Evaluation Metamaterial With Mechanical Robustness, Sound Attenuation, and Diffuse Reflection

open access: yesAdvanced Science, EarlyView.
In this work, a bioinspired all‐in‐one underwater quality evaluation metamaterial, combining sound attenuation, diffuse reflection, and mechanical robustness, is proposed based on jumping spider locomotion and human skeletal biomechanics. Meanwhile, a CNN‑driven quality evaluation framework is established for theoretically dimension‐reduced ...
Hongze Li   +8 more
wiley   +1 more source

Decoupling Intrinsic Molecular Efficacy From Platform Effects: An Interpretable Machine Learning Framework for Unbiased Perovskite Passivator Discovery

open access: yesAdvanced Science, EarlyView.
This study establishes an interpretable machine learning framework that disentangles the intrinsic molecular efficacy of passivators from experimental platform effects—enabling unbiased, high‐throughput discovery of effective perovskite surface modifiers.
Jing Zhang   +5 more
wiley   +1 more source

Asymptotic Variational Formulae for Eigenvalues [PDF]

open access: yesCanadian Mathematical Bulletin, 1963
The eigenvalues of a second order self-adjoint elliptic differential operator on Riemannian n-space R will be considered. Our purpose is to obtain asymptotic variational formulae for the eigenvalues under the topological deformations of (i) removing an ɛ -cell (and adjoining an
openaire   +2 more sources

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