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The importance of direct exchange in Kitaev magnetism. [PDF]

PNAS Nexus
Bhattacharyya P, Bogdanov NA, Hozoi L.
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Approximation Theory

, 2023
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A view of Approximation Theory

IBM Journal of Research and Development, 1987
A selective survey of approximation theory is presented which touches on the concepts of best approximation, good approximation, approximation of classes of functions, approximation of functionals, and optimal estimate. Beginning with the basic ideas of Chebyshev and Weierstrass recent developments and generalizations are given and typical examples are
T J Rivlin
exaly   +3 more sources

APPROXIMATIONS IN ERGODIC THEORY

Russian Mathematical Surveys, 1967
CONTENTSIntroductionPart I. The method of approximations § 1. Definitions and examples § 2. Approximations, ergodicity and mixing § 3. Approximations and the spectrum § 4. Approximations and entropy § 5. Fibre bundles § 6. Flows § 7. Some unsolved problemsPart II. Applications § 8. Shifting of intervals § 9.
Katok, A. B., Stepin, A. M.
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Flexible Approximators for Approximating Fixpoint Theory

2016
Approximation fixpoint theory AFT is an algebraic framework for the study of fixpoints of operators on bilattices, which has been applied to the study of the semantics for a number of nonmonotonic formalisms. A central notion of AFT is that of stable revision based on an underlying approximating operator called approximator, where the negative ...
Fangfang Liu, Yi Bi, Md. Solimul Chowdhury, Jia-Huai You, Zhiyong Feng 0002   +4 more
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Approximation in Learning Theory

Constructive Approximation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Theory of the Impulse Approximation

Physical Review, 1952
An integral equation is derived for the scattering of a neutron by a bound proton. This equation has the impulse approximation as the first approximation to its solution. The connection between the impulse approximation and the Fermi approximation is discussed and clarified.
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On One Inequality in Approximation Theory

Ukrainian Mathematical Journal, 2003
Let \(\psi(t)\), \(t>0\), be a continuous nondecreasing function and let the function \(t^{-q}\psi(t)\), \(t>0,\) be convex for some \(p\geq 0\). It is proved that the inequality \[ x^p\psi(y)+y^p\psi(x)\leq (x^p+y^p)\psi\left(\frac{x+y}{2}\right),\;\; x,y>0,\;\;p\geq q/2, \] is true.
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