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Autocorrelation of the Mobius Function [PDF]
Let $x\geq 1$ be a large integer, and let $\mu:\mathbb{N}\longrightarrow\{-1,0,1\}$ be the Mobius function. This article proposes an effective asymptotic result for the autocorrelation function $\sum_{n \leq x} \mu(n) \mu(n+t) =O\left( e^{-c\sqrt{\log x}}
Carella, N. A.
core
A concept of atmospheric turbulence characterization using laser light backscattered off a moving unresolved target or a moving target with a glint is considered and analyzed through wave-optics numerical simulations.
Victor A. Kulikov +3 more
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Damage Identification of Ancient Timber Structure Based on Autocorrelation Function
A damage location method for the autocorrelation peak value change rate based on the vibration response of a random vibration structure is established.
Yanfang Hou +4 more
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Autocorrelation function (ACF) and partial autocorrelation function (PACF) of GAM and MGAM model (dft = 5 and dftemp = 5).
Weiping Ma (408129) +4 more
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The Study of Auto-Correlation Function on Lyman Alpha Forest of QSOs [PDF]
he Lyman Alpha forest is one of the most powerful cosmological tools for studying large-scale structures of the universe. The flux autocorrelation function for Lyman alpha forest is used to study the clustering of structures.
Sara Rezaee Darestanee +2 more
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Research in the field of efficient frequency estimation algorithms is of great interest. The reason for this is the redistribution of the role of additive and phase noise in many modern radio-engineering applications.
Leonid Nikolaevich Kazakov +2 more
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Velocity autocorrelation function in uniformly heated granular gas
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
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Techniques of sampling the energy characteristics of two-dimensional random signals
The article is devoted to methods of discretization of energy characteristics of two-dimensional random signals when simulating random signals using the original harmonic method, which is a generalization of the well-known algorithm proposed by V.
V.V. Syuzev +3 more
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Illustration of the autocorrelation function.
(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
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Analysis of Reactive Power in Electrical Networks Supplying Nonlinear Fast-Varying Loads
This study concerns problems related to the assessment of reactive power in power networks with nonlinear fast-varying loads, such as electric arc furnaces, rolling mill drives, etc. The operation of this type of load is characterized by the introduction
Yuriy Sayenko +2 more
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