Results 11 to 20 of about 73,711 (304)

Autocorrelation of the Mobius Function

open access: yes, 2022
Let $x\geq 1$ be a large integer, and let $μ:\mathbb{N}\longrightarrow\{-1,0,1\}$ be the Mobius function. This article proposes an effective asymptotic result for the autocorrelation function $\sum_{n \leq x} μ(n) μ(n+t) =O\left( e^{-c\sqrt{\log x}}\right) $, where $t\ne 0$ be a small fixed integer, and $c>0$ is a constant.
Carella, N. A.
openaire   +3 more sources

Velocity autocorrelation function in uniformly heated granular gas

open access: yesEPJ Web of Conferences, 2017
In this paper we study aging of the velocity autocorrelation function of a uniformly heated granular gas using large scale event-driven molecular dynamics simulations in both 2 and 3 dimensional system. The system is heated by adding Gaussian white noise
Kumari Shikha, Ahmad Syed Rashid
doaj   +3 more sources

Autocorrelation and partial autocorrelation function.

open access: yes, 2022
Autocorrelation and partial autocorrelation function.
Mohammad Kehsvari (12328978)   +12 more
core   +1 more source

Maximal autocorrelation functions in functional data analysis [PDF]

open access: yesStatistics and Computing, 2015
This paper proposes a new factor rotation for the context of functional principal components analysis. This rotation seeks to re-represent a functional subspace in terms of directions of decreasing smoothness as represented by a generalized smoothing metric.
Hooker, Giles, Roberts, Steven
openaire   +4 more sources

Definition of the linearity loss of the surface temperature in static tensile tests [PDF]

open access: yesFracture and Structural Integrity, 2014
Static tensile tests on material for mechanical constructions have pointed out the linearity loss of the surface temperature with the application of load.
A. Risitano, G. Fargione, E. Guglielmino
doaj   +1 more source

Estimation of phonon relaxation time for silicon by means of using the velocity autocorrelation function of atoms in molecular dynamics [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2019
Results of the ab initio molecular dynamics calculations of silicon crystals are presented by means of analysis of the velocity autocorrelation function and determination of mean phonon relaxation time.
B. Andriyevsky   +6 more
doaj   +1 more source

On one approximate method for recovering a function from its autocorrelation function

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022
Background. When solving many physical and technical problems, a situation arises when only operators (functionals) from the objects under study (signals, images, etc.) are available for observations (measurements). It is required to restore the object
I.V. Boykov, A.A. Pivkina
doaj   +1 more source

Decorrelation scales for Arctic Ocean hydrography – Part I: Amerasian Basin [PDF]

open access: yesOcean Science, 2018
Any use of observational data for data assimilation requires adequate information of their representativeness in space and time. This is particularly important for sparse, non-synoptic data, which comprise the bulk of oceanic in situ observations in ...
H. Sumata   +13 more
doaj   +1 more source

Illustration of the autocorrelation function.

open access: yes, 2021
(A) Example of a participant’s autocorrelation function at high speed with a shot periodicity of 560 ms. (B) Example of a participant’s autocorrelation function at low speed with a shot periodicity of 1280 ms.
Shawn Betts (294854)   +2 more
core   +1 more source

Autocorrelation-Driven Diffusion Filtering [PDF]

open access: yes, 2011
In this paper, we present a novel scheme for anisotropic diffusion driven by the image autocorrelation function. We show the equivalence of this scheme to a special case of iterated adaptive filtering.
Felsberg, Michael   +2 more
core   +1 more source

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