Results 11 to 20 of about 158 (143)

Characterization of prime and composite numbers using the notion of successive sum of integers and the consequence in primality testing [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we give a characterization of primes and composite natural numbers using the notion of the sum of successive natural numbers. We prove essentially that an odd natural number N≥3 is prime if and only if the unique decomposition of N as a ...
Fateh Mustapha Dehmeche, Douadi Mihoubi, Lahcene Ladjelat   +2 more
doaj   +1 more source

METHOD OF TESTING LARGE NUMBERS FOR PRIMALITY

Сучасні інформаційні системи
The current stage of scientific and technological development entails ensuring information security across all domains of human activity. Confidential data and wireless channels of remote control systems are particularly sensitive to various types of ...
Vladimir Pevnev , Oles Yudin , Peter Sedlaček , Nina Kuchuk   +3 more
doaj   +1 more source

Primality test (When an integer test is enough for primality)

, 2021
A programatic way to test for primes using only an integer test for a specific prime series.
openaire   +1 more source

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

Journal 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, Styliani Kalantzi, Theopisti Lymperopoulou, Andromachi Tzani, Georgios Stavropoulos, Anastasia Detsi, Diomi Mamma   +6 more
wiley   +1 more source

Image‐Derived Volumetry During Forced Expiration Using a 3D Fermat Looped, Orthogonally Encoded Trajectory

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To enable MRI‐based nongated 3D depiction of forced expiration with both high spatio‐temporal resolution and fidelity of lung dynamics. Methods An undersampled 3D Fermat looped, orthogonally encoded trajectory (FLORET) was optimized for nonsegmented dynamic acquisitions during forced expiration and a corresponding model‐based ...
Sebastian Scheidel, Viktor Hartung, Matthias Stephan Anders, Corona Metz, Herbert Köstler, Simon Veldhoen, Tobias Wech   +6 more
wiley   +1 more source

Primality Tests and Prime Certificate

CoRR, 2022
This note presents a formalisation done in Coq of Lucas-Lehmer test and Pocklington certificate for prime numbers. They both are direct consequences of Fermat little theorem. Fermat little theorem is proved using elementary group theory and in particular Lagrange theorem.
Laurent Théry, Sophia Antipolis
openaire   +3 more sources

Leveraging Public Transit for Robotic Deliveries: A Column Generation Approach

Naval Research Logistics (NRL), EarlyView.
ABSTRACT Autonomous mobile robots (AMRs) are small, electric, wheeled vehicles that operate at pedestrian speeds. In the last‐mile delivery service considered in this study, a fleet of AMRs is deployed across multiple recharging depots within a service area, from which they depart to perform point‐to‐point deliveries. We consider an operational setting
Yishay Shapira, Mor Kaspi
wiley   +1 more source

Investigating Mixed‐Integer Programming Approaches for the p$$ p $$‐α$$ \alpha $$‐Closest‐Center Problem

Networks, EarlyView.
ABSTRACT In this work, we introduce and study the p$$ p $$‐α$$ \alpha $$‐closest‐center problem (pα$$ p\alpha $$CCP), which is a generalization of the p$$ p $$‐second‐center problem, a recently emerged variant of the classical (discrete) p‐center problem.
Elisabeth Gaar, Sara Joosten, Markus Sinnl   +2 more
wiley   +1 more source

A Branch‐and‐Price Algorithm for the Symmetric Electric Traveling Salesman Problem

Networks, EarlyView.
ABSTRACT The Electric Traveling Salesman Problem (ETSP) is a variant of the well‐known TSP in which an electric vehicle must visit a set of customers minimizing the total cost of its route. The vehicle is assumed to be equipped with a battery of limited capacity that may need to be recharged along the route.
Alberto Ceselli, Cristina Ondei, Giovanni Righini   +2 more
wiley   +1 more source

A Two‐Stage Optimization Approach for Selecting Electric‐Flight Airports

Networks, EarlyView.
ABSTRACT The decarbonization of short‐haul air transport has gained increasing attention, with electric aircraft emerging as a promising alternative to conventional short‐haul aviation. However, given the substantial investment anticipated for the necessary infrastructure, a strategic and globally coordinated selection of airports is imperative.
Imke Joormann, Frederic Kroner, Andreas M. Tillmann   +2 more
wiley   +1 more source