Results 41 to 50 of about 58,365 (183)

Quadratic Gauss Sums

open access: yesFinite Fields and Their Applications, 1998
Let \(m\) be an odd positive integer, \(n\) an arbitrary positive integer, and \(p\) a prime which does not divide \(m\). Let \(\mathbb{F}_{p}\) be a prime finite field, \(\mathbb{F}_{q}\) a finite extension of \(\mathbb{F}_{p}\) of degree \(f\), so \(q=p^{f}\), and \( \chi\) a multiplicative character of \(\mathbb{F}_{q}\) of order \(m\). If \( \zeta_{
openaire   +1 more source

Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories [PDF]

open access: yes, 2004
This is the final fifth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity.
Ashtekar A   +43 more
core   +1 more source

Parallel Selective Algorithms for Big Data Optimization

open access: yes, 2014
We propose a decomposition framework for the parallel optimization of the sum of a differentiable (possibly nonconvex) function and a (block) separable nonsmooth, convex one.
Facchinei, Francisco   +2 more
core   +1 more source

Graviton n-point functions for UV-complete theories in Anti-de Sitter space [PDF]

open access: yes, 2012
We calculate graviton n-point functions in an anti-de Sitter black brane background for effective gravity theories whose linearized equations of motion have at most two time derivatives.
A. J. M. Medved   +7 more
core   +3 more sources

Adaptive neural network method for multidimensional integration in arbitrary subdomains

open access: yesDiscrete and Continuous Models and Applied Computational Science
Multidimensional integration is a fundamental problem in computational mathematics with numerous applications in physics, engineering, and data science.
Margarita R. Shcherbak   +3 more
doaj   +1 more source

Gauss Sums and Quantum Mechanics

open access: yes, 2000
By adapting Feynman's sum over paths method to a quantum mechanical system whose phase space is a torus, a new proof of the Landsberg-Schaar identity for quadratic Gauss sums is given.
Alice Rogers   +13 more
core   +1 more source

Generating weights for the Weil representation attached to an even order cyclic quadratic module [PDF]

open access: yes, 2017
We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group.
Candelori, Luca   +2 more
core   +3 more sources

Smarter Sensors Through Machine Learning: Historical Insights and Emerging Trends across Sensor Technologies

open access: yesAdvanced Functional Materials, EarlyView.
This review highlights how machine learning (ML) algorithms are employed to enhance sensor performance, focusing on gas and physical sensors such as haptic and strain devices. By addressing current bottlenecks and enabling simultaneous improvement of multiple metrics, these approaches pave the way toward next‐generation, real‐world sensor applications.
Kichul Lee   +17 more
wiley   +1 more source

Playing with fire? A mean‐field game analysis of fire sales and systemic risk under regulatory capital constraints

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract We analyze the effect of regulatory capital constraints on financial stability in a large homogeneous banking system using a mean‐field game (MFG) model. Each bank holds cash and a tradable risky asset. Banks choose absolutely continuous trading rates in order to maximize expected terminal equity, with trades subject to transaction costs ...
Rüdiger Frey, Theresa Traxler
wiley   +1 more source

Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case

open access: yes, 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
core   +1 more source

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