Results 61 to 70 of about 86,722,945 (268)
Do algebraic numbers follow Khinchin's law?
, 2021 This paper argues that the distribution of the coefficients of the regular continued fraction should be considered for each algebraic number of degree >2 separately.
Müller, Karsten +3 more
core
AIChE Journal, EarlyView.ABSTRACT Conceptual process design combines discrete configuration choices with continuous operating decisions, often yielding difficult mixed‐integer nonlinear or simulation‐based optimization problems. This work presents an exploratory computational assessment of Ising‐based solvers, simulated annealing, quantum annealing, and entropy computing, as ...
Yirang Park, David E. Bernal Neira
wiley +1 more source
Physical Sciences and Technology, 2018 To consider the interactions between light nuclei, as well as the nature of the nuclear forces between them, and the test was made of the coupled and resonant positions of the nucleus (_3^6)Li using the technique of the "Algebraic version of the ...
N.K. Kalzhigitov +4 more
doaj
Approximation by algebraic numbers - Cambridge Tracts in Mathematics 160
, 2004 Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications.
Bugeaud, Yann
core +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Structured Low-rank Approximation as a Rational Function Minimization [PDF]
, 2012 Many problems of system identification, model reduction and signal processing can be posed and solved as a structured low-rank approximation problem (SLRA).
Markovsky, Ivan, Usevich, Konstantin
core +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
The distribution of close conjugate algebraic numbers [PDF]
, 2010 Полный текст документа доступен пользователям сети БГУ.We investigate the distribution of real algebraic numbers of a fixed degree having a close conjugate number, the distance between the conjugate numbers being given as a function of their height.
Victor Beresnevich +8 more
core +1 more source
Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Advanced Intelligent Discovery, EarlyView.Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
wiley +1 more source
APPROXIMATING NUMBERS WITH MISSING DIGITS BY ALGEBRAIC NUMBERS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2006 AbstractWe show that for a given base $b$ and a proper subset $E\subset\{0,\dots,b-1\}$, $\#E\ltb-1$, the set of numbers $x\in[0,1]$ that have no digits from $E$ in their expansion to base $b$ consists almost exclusively of $S^*$-numbers of type at most $\min\{2,\log b/\log(b-\#E)\}$.
openaire +3 more sources