Results 21 to 30 of about 3,178 (169)
On Taking Square Roots without Quadratic Nonresidues over Finite Fields
We present a novel idea to compute square roots over finite fields, without being given any quadratic nonresidue, and without assuming any unproven hypothesis. The algorithm is deterministic and the proof is elementary.
Sze, Tsz-Wo
core +2 more sources
Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
wiley +1 more source
Primality-testing Mersenne Numbers (II) [PDF]
Reports the factor-filtering and primality-testing of Mersenne Numbers Mp for p < 100000, the latter using the ICL 'DAP' Distributed Array ...
Haworth, Guy McCrossan
core
A trust‐region funnel algorithm for gray‐box optimization
Abstract Gray‐box optimization, where parts of optimization problems are represented by algebraic models while others are treated as black‐box models lacking analytic derivatives, remains a challenge. Trust‐region (TR) methods provide a robust framework for gray‐box problems through local reduced models (RMs) for black‐box components, but they are ...
Gul Hameed +4 more
wiley +1 more source
Experimental Evidence of Quantum Randomness Incomputability
In contrast with software-generated randomness (called pseudo-randomness), quantum randomness is provable incomputable, i.e.\ it is not exactly reproducible by any algorithm. We provide experimental evidence of incomputability --- an asymptotic property -
Calude, Cristian S. +3 more
core +2 more sources
This study presents a new sampling‐based model predictive control minimizing reverse Kullback‐Leibler divergence to quickly find a local optimum. In addition, a modified Nesterov's acceleration method is introduced for faster convergence. The method is effective for real‐time simulations and real‐world operability improvement on a force‐driven mobile ...
Taisuke Kobayashi, Kota Fukumoto
wiley +1 more source
Acceleration detection of large (probably) prime numbers
In order to avoid unnecessary applications of Miller-Rabin algorithm to the number in question, we resort to trial division by a few initial prime numbers, since such a division take less time.
Nikolic, Olivera +2 more
core +1 more source
On the basis of core and log data, a Bayesian‐Optimized Random Forest model achieved 92.76% accuracy in classifying tight sandstone reservoirs. A gray relational analysis‐derived evaluation index shows > 80% consistency with actual gas zones. ABSTRACT Tight sandstone gas (TSG), an unconventional oil–gas resource, has heterogeneous reservoirs ...
Yin Yuan +8 more
wiley +1 more source
Abstract BACKROUND The pseudo‐fruit of Rosa canina L. is a rich source of bioactive compounds with antioxidant, anti‐inflammatory, anti‐cancer, anti‐diabetic, anti‐aging, and antimicrobial activities. The aim of the present study is the optimization of a green process based on the action of two hydrolytic enzyme preparations, namely Pectinex® Ultra ...
Zafeiria Lemoni +6 more
wiley +1 more source
Te@Se core–shell heterojunction quantum dots (QDs) are synthesized by a two‐step strategy via combining liquid‐phase exfoliation and epitaxial growth. As active materials in photoelectrochemical photodetectors, Te@Se QDs exhibit excellent photo‐response performance in low‐concentration electrolytes and deionized water.
Yiming Zhao +8 more
wiley +1 more source

