Results 21 to 30 of about 3,178 (169)

On Taking Square Roots without Quadratic Nonresidues over Finite Fields

open access: yes, 2009
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

open access: yesAIChE Journal, EarlyView.
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]

open access: yes, 1986
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

open access: yesAIChE Journal, EarlyView.
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

open access: yes, 2010
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

Real‐Time Sampling‐Based Model Predictive Control Based on Reverse Kullback–Leibler Divergence and Its Adaptive Acceleration

open access: yesAdvanced Intelligent Systems, EarlyView.
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

open access: yes, 2013
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

Machine Learning‐Driven Classification and Production Capacity Prediction of Tight Sandstone Reservoirs: A Case Study of the Taiyuan Formation, Ordos Basin

open access: yesEnergy Science &Engineering, EarlyView.
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

Optimization of bioactive compounds extraction from Rosa canina L. pseudofruit through the action of two hydrolytic enzyme preparations

open access: yesJournal of Chemical Technology &Biotechnology, EarlyView.
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

Synthesis of Core–Shell Te@Se Quantum Dots and Their Broadband Photodetector Performance in Low Concentration Electrolytes

open access: yesLaser &Photonics Reviews, EarlyView.
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

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