Results 81 to 90 of about 7,456 (263)

The Weil representation and Gauss sums [PDF]

Pacific Journal of Mathematics, 1996
We use the Weil representation to evaluate certain Gauss sums over a local field, up to \(\pm 1\). Also we construct a cocycle on \(\text{Sp} (2m, \mathbb{R})\) with a simple formula on the maximal compact torus and we show how to lift homomorphisms \(j: \text{Sp} (2n, \mathbb{R})\to \text{Sp} (2m, \mathbb{R})\) to the double covers of these groups.
openaire   +3 more sources

Pyrrolic‐Nitrogen‐Enriched Aerogels With Magnetic Responsiveness Enable Cooperative Hydrogen‐Bond Regulation for High‐Performance Solar Interfacial Evaporation

Carbon Energy, EarlyView.
A pyrrolic‐nitrogen‐enriched ferromagnetic aerogel enables sophisticated cooperative regulation of hydrogen bonding, whereby this dual‐regulatory mechanism effectively reduces vaporization enthalpy while simultaneously enhancing molecular dynamics. The system demonstrates exceptional self‐cleaning capability and exhibits superior performance in the ...
Dongxue Wang, Rui Yan, Mengshu Xu, Chunyu Yang, Jingbo He, Shuohao Shi, Zhuoran Yang, Jian Huang, Wei Guo   +8 more
wiley   +1 more source

Copper(II), a Peculiar Metal Ion for Complexation with Monensin A Ionophore

Chemistry – A European Journal, EarlyView.
Copper(II) forms three chiral and EPR‐active complexes with monensinate A in methanol. Beside the bis [CuL2] and mono [CuL]+ species, the new dinuclear construct [Cu2L]3+ exhibits an [ML]+‐type and a metal salt‐type copper(II) centers weakly bound to each other through counter ion(s) and thus, being magnetically independent.
Máté Levente Kis, Bálint Hajdu, Tamás Jakusch, Zoltán Kele, Petar Dorkov, Rositsa Kukeva, Ivayla Pantcheva, Béla Gyurcsik   +7 more
wiley   +1 more source

On Gauss-Jacobi sums

, 2009
This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.
Kaneko, Masanobu, Matsuo, Hironori
openaire   +2 more sources

Gauss sums for O⁻(2n,q) [PDF]

Acta Arithmetica, 1997
For a multiplicative character \(\chi\) and a nontrivial additive character \(\lambda\) of the finite field with \(q\) elements (\(q\) is a power of an odd prime), the `Gauss' sums \(\sum\lambda(\text{tr }w)\) over \(w\in\text{SO}^-(2n,q)\) and \(\sum\chi(\text{det }w)\lambda(\text{tr} w)\) over \(w\in O^-(2n,q)\) are considered.
openaire   +2 more sources

WSPLK: A systematic approach to the thermodynamic characterization of light and heavy Mexican crude oil

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract A streamlined characterization framework (WSPLK) is presented for modelling complex reservoir fluids using cubic equations of state. The key methodological contribution is the introduction of a single global parameter ε directly into Pedersen's boiling‐point correlation, restoring pure‐component calibration and eliminating the need for ...
Angélica Merlo‐Robredo, Heber Barragán‐Mayet, Lourdes Mayet‐Cruz, José Fernando Barragán‐Aroche   +3 more
wiley   +1 more source

A low complexity ZF precoding scheme based on weighted Gauss-Seidel in massive MIMO systems

Dianxin kexue, 2019
In massive MIMO systems,due to inversion of Hermitian matrix,the complexity of the traditional ZF precoding method increases exponentially with increase of the number of users.To solve this problem,a low complexity digital ZF precoding scheme based on ...
Dong ZHOU, Haiyan CAO, Fangmin XU, Xin FANG, Xiumin WANG   +4 more
doaj   +2 more sources

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
wiley   +1 more source

Polyhedral Gauss sums, and polytopes with symmetry

Journal of Computational Geometry, 2016
We define certain natural finite sums of $n$'th roots of unity, called $G_P(n)$, that are associated to each convex integer polytope $P$, and which generalize the classical $1$-dimensional Gauss sum $G(n)$ defined over $\mathbb Z/ {n \mathbb Z}$, to ...
Romanos Diogenes Malikiosis, Sinai Robins, Yichi Zhang   +2 more
doaj   +1 more source

Sustainable Live Sound Monitoring and Classification System Enabled by a Triboelectric Nanogenerator and Machine Learning Techniques

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
A high‐performance Triboelectric Nanogenerator (TENG) acoustic sensor using polyimine/graphite polypropylene (PI/GP) was developed for real‐time, sustainable sound monitoring and classification. The self‐powered device delivers 25.67 μW output power, 92.7% accuracy with MobileNet V1, and powers a wireless transmission circuit, demonstrating dual ...
Majid Haji Bagheri, Araz Rajabi‐Abhari, Owen Gibbs, Pengcheng Xi, Asif Abdullah Khan, Fangzheng Huang, Md Soyaeb Hassan, Ning Yan, Dayan Ban   +8 more
wiley   +1 more source