Results 51 to 60 of about 4,951 (270)
Distribution theory of algebraic numbers [PDF]
, 2008 The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers.
Yang, Chung-Chun, Hu, Pei-Chu
core
The diamond operator - Implementation of exact real algebraic numbers [PDF]
, 2005 The LEDA number type real is extended by the diamond operator, which allows to compute exactly with real algebraic numbers given as roots of polynomials. The coefficients of these polynomials can be arbitrary real algebraic numbers.
Vorozhtsov, Evgenii V. +3 more
core +2 more sources
Advanced Science, EarlyView.Expanded‐graphite/graphene‐nanoplatelet hybrids deliver a near‐order‐of‐magnitude thermal‐conductivity enhancement in paraffin phase‐change materials. A microCT‐informed 3D modeling framework resolves the percolating EG backbone and captures sub‐voxel GNP enrichment, quantitatively linking microstructure to heat flow and revealing a graphene‐enabled ...
Thomas Hoke +4 more
wiley +1 more source
An exciting Approach to Theoretical Spectroscopy
Advanced Science, EarlyView.ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno +29 more
wiley +1 more source
Linear forms with algebraic coefficients. I [PDF]
, 1971 In a recent paper I generalized Roth's well-known theorem on rational approximation to an algebraic number α in two dual directions. Namely, I proved a theorem on simultaneous rational approximation to m algebraic numbers α1,…, αm, and a theorem on ...
Schmidt, Wolfgang M.
core +1 more source
Advanced Science, EarlyView.Correcting the apparent priming effect resolves systematic biases in Asian rice fertilizer nitrogen accounting. Net soil retention drops below 7%, while 48% of fertilizer escapes, inflicting US$98.53 billion in annual reactive‐nitrogen damages. High‐resolution mapping uncovers N‐risk archetypes across 42% of the rice area, delivering a spatially ...
Xiuyun Liu +5 more
wiley +1 more source
Approximation of an algebraic number by products of rational numbers and units [PDF]
, 2013 We relate a previous result of ours on families of diophantine equations having only trivial solutions with a result on the approximation of an algebraic number by products of rational numbers and units.
Michel Waldschmidt, Claude Levesque
core
Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization
Advanced Science, EarlyView.A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
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
On the algebraic complexity of rational iteration procedures [PDF]
, 1991 Rational iteration procedures such as the Newton iteration or Regula falsi for the approximation of algebraic numbers are considered from the point of view of algebraic complexity theory.
Baur, Walter
core +1 more source