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

