Results 71 to 80 of about 2,924 (299)
Smooth Subsum Search: A heuristic for practical integer factorization
, 2023 The two currently fastest general-purpose integer factorization algorithms are the Quadratic Sieve and the Number Field Sieve. Both techniques are used to find so-called smooth values of certain polynomials, i.e., values that factor completely over a set
Hittmeir, Markus
core +2 more sources
Factorization of cubic vertices involving three different higher spin fields
Nuclear Physics B, 2014 We derive a class of cubic interaction vertices for three higher spin fields, with integer spins λ1, λ2, λ3, by closing commutators of the Poincaré algebra in four-dimensional flat spacetime.
Y.S. Akshay, Sudarshan Ananth
doaj +1 more source
On Factorization of Integers with Restrictions on the Exponents
, 2007 For a fixed k ∈ N we consider a multiplicative basis in N such that every n ∈ N has the unique factorization as product of elements from the basis with the exponents not exceeding k. We introduce the notion of k-multiplicativity of arithmetic functions, and study several arithmetic functions naturally defined in k-arithmetics.
Litsyn, Simon, Shevelev, Vladimir
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Discrete Logarithm and Integer Factorization using ID-based Encryption
, 2015 Shamir proposed the concept of the ID-based Encryption (IBE) in [1]. Instead of generating and publishing a public key for each user, the ID-based scheme permits each user to choose his name or network address as his public key.
Meshram, Chandrashekhar
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A Simple Improvement for Integer Factorizations with Implicit Hints [PDF]
, 2016 In this paper, we describe an improvement of integer factorization of k RSA moduli Ni=piqi (1≤i≤k) with implicit hints, namely all pi share their t least significant bits. May et al.
Ryuto, Heiwa +2 more
core +1 more source
A Reduction of Integer Factorization to Modular Tetration [PDF]
International Journal of Foundations of Computer Science, 2020 Let [Formula: see text]. By [Formula: see text] and [Formula: see text], we denote the [Formula: see text] th iterate of the exponential function [Formula: see text] evaluated at [Formula: see text], also known as tetration. We demonstrate how an algorithm for evaluating tetration modulo natural numbers [Formula: see text] could be used to compute the
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On the factorization of consecutive integers [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2009 Let \(n\) and \(k\) be positive integers with \(n \geq 2k\), and write \(\binom{n}{k} = UV\), where the largest prime factor of \(U\) is at most \(k\) and all prime factors of \(V\) exceed \(k\). \textit{E. F. Ecklund jun., R. B. Eggleton, P. Erdős} and \textit{J. L. Selfridge} [J. Aust. Math. Soc., Ser.
Bennett, M. A. +2 more
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Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling
Advanced Robotics Research, EarlyView.A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang +5 more
wiley +1 more source
Integer Factoring with Unoperations
CoRRThis work introduces the notion of unoperation $\mathfrak{Un}(\hat{O})$ of some operation $\hat{O}$. Given a valid output of $\hat{O}$, the corresponding unoperation produces a set of all valid inputs to $\hat{O}$ that produce the given output. Further, the working principle of unoperations is illustrated using the example of addition.
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