Results 31 to 40 of about 3,554 (146)

Algorithms for estimating modular numbers in floating-point arithmetic

open access: yesНаука. Инновации. Технологии, 2022
In the residue number system (RNS), the operations of addition, subtraction, and multiplication are executed in parallel for different digits (residues) of the modular numbers.
Konstantin Sergeevich Isupov
doaj  

Bio-Inspired Constant-Time Arithmetic Kernels in Hybrid Membrane–Neural Spiking P Systems

open access: yesMathematics
This work introduces Hybrid Membrane–Neural P systems (HMN P systems), a computational model that integrates principles from membrane computing and spiking neural P systems. The resulting framework offers a versatile foundation for the development of bio-
Eduardo Vázquez   +7 more
doaj   +1 more source

A Modular Framework for Generic Quantum Algorithms

open access: yesMathematics, 2022
We describe a general-purpose framework to design quantum algorithms. This framework relies on two pillars: a basic data structure called quantum matrix and a modular structure based on three quasi-independent modules.
Alberto Manzano   +6 more
doaj   +1 more source

Modularity of arithmetic special divisors for unitary Shimura varieties (with an appendix by Yujie Xu)

open access: yesForum of Mathematics, Sigma
We construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow ...
Congling Qiu, Yujie Xu
doaj   +1 more source

Integer Modular Multiplication With Barrett Reduction and Its Variants for Homomorphic Encryption Applications: A Comprehensive Review and an Empirical Study

open access: yesIEEE Access
Modular arithmetic calculations, such as modular addition and multiplication, are fundamental building blocks to Post-Quantum Cryptography (PQC) and Homomorphic Encryption (HE) systems. While modular addition has straightforward hardware implementations,
Ardianto Satriawan   +2 more
doaj   +1 more source

Efficient Algorithm for Multi-Bit Montgomery Inverse Using Refined Multiplicative Inverse Modular $2^K$

open access: yesIEEE Access, 2019
This paper makes two major contributions. First, we propose an algorithm to compute a multiplicative inverse modulo $2^{k}$ without using integer division by refining the Arazi–Qi algorithm.
Young-Sik Kim
doaj   +1 more source

Arithmetic Framework to Optimize Packet Forwarding among End Devices in Generic Edge Computing Environments

open access: yesSensors, 2022
Multi-access edge computing implementations are ever increasing in both the number of deployments and the areas of application. In this context, the easiness in the operations of packet forwarding between two end devices being part of a particular edge ...
Pedro Juan Roig   +4 more
doaj   +1 more source

Modular forms in the spectral action of Bianchi IX gravitational instantons

open access: yesJournal of High Energy Physics, 2019
We prove a modularity property for the heat kernel and the Seeley-deWitt coefficients of the heat kernel expansion for the Dirac-Laplacian on the Bianchi IX gravitational instantons.
Wentao Fan   +2 more
doaj   +1 more source

ModuloNET: Neural Networks Meet Modular Arithmetic for Efficient Hardware Masking

open access: yesTransactions on Cryptographic Hardware and Embedded Systems, 2021
Intellectual Property (IP) thefts of trained machine learning (ML) models through side-channel attacks on inference engines are becoming a major threat. Indeed, several recent works have shown reverse engineering of the model internals using such attacks,
Anuj Dubey   +4 more
doaj   +1 more source

Retrieval Practice Enhances New Learning but does Not Affect Performance in Subsequent Arithmetic Tasks

open access: yesJournal of Cognition, 2022
The forward testing effect is an indirect benefit of retrieval practice. It refers to the finding that retrieval practice of previously studied information enhances learning and retention of subsequently studied other information in episodic memory tasks.
Bernhard Pastötter   +3 more
doaj   +1 more source

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