Journal of Mathematics, 2021 In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.
Zhang Jin, Zhang Jiafan
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Exceptional Points of Degeneracy in Periodic Coupled Waveguides and the Interplay of Gain and Radiation Loss: Theoretical and Experimental Demonstration [PDF]
, 2019 We present a novel paradigm for dispersion engineering in coupled transmission lines (CTLs) based on exceptional points of degeneracy (EPDs). We develop a theory for fourth-order EPDs consisting of four Floquet-Bloch eigenmodes coalescing into one ...
Abdelshafy, Ahmed F. +4 more
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The mean fourth power of real character sums [PDF]
Acta Arithmetica, 2002 Summary: Let \(\chi_q\) denotes the real character modulo \(q\) whenever it exists. For \(X\) and \(Y\) large enough, we prove \[ \sum_{|q| \leq X}\biggl| \sum_{n \leq Y} \chi_q(n)\biggr|^4 \ll XY^2 X^\varepsilon \] for any \(\varepsilon>0\) and where the implied constant depends on \(\varepsilon\).
openaire +1 more source
Weak lensing power spectra for precision cosmology: Multiple-deflection, reduced shear and lensing bias corrections [PDF]
, 2010 It is usually assumed that the ellipticity power spectrum measured in weak lensing observations can be expressed as an integral over the underlying matter power spectrum. This is true at second order in the gravitational potential. We extend the standard
Albrecht +58 more
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Affine Projection Algorithm Based on Least Mean Fourth Algorithm for System Identification
IEEE Access, 2020 In the field of signal processing such as system identification, the affine projection algorithm (APA) is extensively implemented. However, running such algorithms in a non-Gaussian scenario may degrade its performance, since the second-order moment ...
Xiaoding Wang, Jun Han
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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
Advances in Difference Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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Fully Convective Magnetorotational Turbulence in Stratified Shearing Boxes [PDF]
, 2013 We present a numerical study of turbulence and dynamo action in stratified shearing boxes with zero magnetic flux. We assume that the fluid obeys the perfect gas law and has finite (constant) thermal diffusivity.
Bodo, G. +3 more
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Boundary induced non linearities at small Reynolds Numbers [PDF]
, 2006 We investigate the influence of boundary slip velocity in Newtonian fluids at finite Reynolds numbers. Numerical simulations with Lattice Boltzmann method (LBM) and Finite Differences method (FDM) are performed to quantify the effect of heterogeneous ...
Ansumali +31 more
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Removal of multiple artifacts from ECG signal using cascaded multistage adaptive noise cancellers
Array, 2022 Although cascaded multistage adaptive noise cancellers have been employed before by researchers for multiple artifact removal from the ElectroCardioGram (ECG) signal, they all used the same adaptive algorithm in all the cascaded multi-stages for ...
Mohammed Mujahid Ulla Faiz, Izzet Kale
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Using heterogeneous satellites for passive detection of moving aerial target [PDF]
, 2020 Passive detection of a moving aerial target is critical for intelligent surveillance. Its implementation can use signals transmitted from satellites. Nowadays, various types of satellites co-exist which can be used for passive detection.
Chen, Yunfei +5 more
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