Results 31 to 40 of about 58,161 (160)
The generalized quadratic Gauss sums and its sixth power mean
AIMS Mathematics, 2021 <abstract><p>In this article, we using elementary methods, the number of the solutions of some congruence equations and the properties of the Legendre's symbol to study the computational problem of the sixth power mean of a certain generalized quadratic Gauss sums, and to give an exact calculating formula for it.</p></abstract>
Xingxing Lv, Wenpeng Zhang
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Advanced Science, EarlyView.A reconfigurable physical unclonable function is developed using CMOS‐integrated SOT‐MRAM chips, leveraging a dual‐pulse strategy and offering enhanced environmental robustness. A temperature‐compensation effect arising from the CMOS transistor and SOT‐MTJ is revealed and established as a key prerequisite for thermal resilience.
Min Wang +7 more
wiley +1 more source
Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case
, 2010 Let $p$ be a prime number, $q=p^f$ for some positive integer $f$, $N$ be a positive integer such that $\gcd(N,p)=1$, and let $\k$ be a primitive multiplicative character of order $N$ over finite field $\fq$.
B. C. Berndt +18 more
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Classical general relativity as BF-Plebanski theory with linear constraints [PDF]
, 2010 We investigate a formulation of continuum 4d gravity in terms of a constrained BF theory, in the spirit of the Plebanski formulation, but involving only linear constraints, of the type used recently in the spin foam approach to quantum gravity.
Gielen, Steffen, Oriti, Daniele
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Lyapunov spectrum of square-tiled cyclic covers [PDF]
, 2011 A cyclic cover over the Riemann sphere branched at four points inherits a natural flat structure from the "pillow" flat structure on the basic sphere.
Eskin, Alex +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Phase‐Pole‐Free Images and Smooth Coil Sensitivity Maps by Regularized Nonlinear Inversion
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Phase singularities are a common problem in image reconstruction with auto‐calibrated sensitivities due to an inherent ambiguity of the estimation problem. The purpose of this work is to develop a method for detecting and correcting phase poles in non‐linear inverse (NLINV) reconstruction of MR images and coil sensitivity maps ...
Moritz Blumenthal, Martin Uecker
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Quadratic Gauss sums on matrices
Linear Algebra and its Applications, 2004 Let \(F = F_{ p^\alpha }\) be a finite field of order \(p^\alpha\) for some prime \(p\). The author defines a Gauss sum on matrices \(A \in M_n(F)\) as follows: \[ G_s(A) := \sum_{ X \in M_n(F) } \exp \left( {{ 2 \pi i } \over { p }} \, \text{tr}_F \left( \text{tr} \left( A X^s \right) \right) \right) , \] where \(\text{ tr}_F\) denotes the trace map ...
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