Results 71 to 80 of about 275,582 (319)
Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems
In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x′=y, y′=−fm(x)y−gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.
Jaume Giné, Jaume Llibre
doaj +1 more source
Improved Sieving on Algebraic Curves [PDF]
The best algorithms for discrete logarithms in Jacobians of algebraic curves of small genus are based on index calculus methods coupled with large prime variations. For hyperelliptic curves, relations are obtained by looking for reduced divisors with smooth Mumford representation (Gaudry); for non-hyperelliptic curves it is faster to obtain relations ...
Vitse, Vanessa, Wallet, Alexandre
openaire +4 more sources
Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli+12 more
wiley +1 more source
Spintronic Memtransistor Leaky Integrate and Fire Neuron for Spiking Neural Networks
Spintronic memtransistor neurons based on domain walls enable energy‐efficient, field‐gated, and current‐controlled LIF functionality for neuromorphic computing, as demonstrated. When integrated into spiking neural network architectures, these devices achieve >96% pattern recognition accuracy, demonstrating high performance, scalability, and mem ...
Aijaz H. Lone+7 more
wiley +1 more source
Regression with an imputed dependent variable
Summary Researchers are often interested in the relationship between two variables, with no single data set containing both. A common strategy is to use proxies for the dependent variable that are common to two surveys to impute the dependent variable into the data set containing the independent variable.
Thomas F. Crossley+2 more
wiley +1 more source
Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods
We present an algorithm that computes the singular points of projective plane algebraic curves and determines their multiplicities and characters. The feasibility of the algorithm is analyzed.
Zhongxuan Luo, Erbao Feng, Jielin Zhang
doaj +1 more source
Negative curves on algebraic surfaces [PDF]
We study curves of negative self-intersection on algebraic surfaces. We obtain results for smooth complex projective surfaces X on the number of reduced, irreducible curves C of negative self-intersection C^2. The only known examples of surfaces for which C^2 is not bounded below are in positive characteristic, and the general expectation is that no ...
Bauer, Thomas+6 more
openaire +5 more sources
Sustainable Thermal Solutions: Enhancing Heat Transfer with Turbulators and Nanofluids
Nanofluids, which are nanoparticle suspensions in base fluid, facilitate heat transmission due to their improved thermal conductivity. Turbulators, which are inserts into fluid flow channels, disturb the flow, increasing turbulence and hence the heat transfer rate.
Zafar Said+9 more
wiley +1 more source
Some Geometry of Nodal Curves [PDF]
We find a geometrical method of analysing the singularities of a plane nodal curve. The main results will be used in a forthcoming paper on geometric Plucker formulas for such curves. Plane nodal curves, that is plane curves having at most nodes as singularities, form an important class of curves, as any projective algebraic curve is birational to a ...
arxiv
INTRODUCTION THE main object of interest in this paper is a non-singular, -projective, irreducible, complex algebraic curve, which is assumed to be defined over the real numbers, and, until 94 is assumed to have a real point. On the underlying compact, connected Riemann surface X, the complex conjugation and real locus appear, respectively, as a ...
openaire +2 more sources