Results 21 to 30 of about 5,384,650 (236)
Justifying Definitions in Mathematics—Going Beyond Lakatos [PDF]
, 2009 This paper addresses the actual practice of justifying definitions in mathematics. First, I introduce the main account of this issue, namely Lakatos's proof-generated definitions.
Werndl, Charlotte
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Ergodic limits for inhomogeneous evolution equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Let $u$ satisfy an inhomogeneous wave equation such as \begin{align*} u''(t)+A^{2}u(t)=h(t),\qquad u(0)=f,\quad u'(0)=g. \end{align*} We show that in many cases, the limit as $t\rightarrow \infty$ of $\frac{1}{t}\int_{0}^{t}u(s)ds$ exists, and can be ...
Behzad Rouhani +2 more
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Hyperbolic Covariant Coherent Structures in Two Dimensional Flows
Fluids, 2017 A new method to describe hyperbolic patterns in two-dimensional flows is proposed. The method is based on the Covariant Lyapunov Vectors (CLVs), which have the properties of being covariant with the dynamics, and thus, being mapped by the tangent linear ...
Giovanni Conti, Gualtiero Badin
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Ergodic conditions and spectral properties for A-contractions [PDF]
Opuscula Mathematica, 2008 In this paper the canonical representation of an \(A\)-contraction \(T\) on a Hilbert space \(\mathcal{H}\) is used to obtain some conditions concerning the concept of \(A\)-ergodicity studied in [L.
Laurian Suciu, Nicolae Suciu
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Ergodic Capacity Analysis of Downlink Communication Systems under Covariance Shaping Equalizers
Mathematics, 2022 Advances in higher-end spectrum utilization has enabled user equipment to dock multiple antenna elements, and hence make use of selectivity via equalization in new generation of mobile networks.
Ubaid M. Al-Saggaf +2 more
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Extended eigenstate thermalization and the role of FZZT branes in the Schwarzian theory
Journal of High Energy Physics, 2020 In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are thermal. On the other hand, in
Pranjal Nayak +2 more
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Ergodicity test of the eddy-covariance technique [PDF]
Atmospheric Chemistry and Physics, 2015 The ergodic hypothesis is a basic hypothesis typically invoked in atmospheric surface layer (ASL) experiments. The ergodic theorem of stationary random processes is introduced to analyse and verify the ergodicity of atmospheric turbulence measured using ...
J. Chen, Y. Hu, Y. Yu, S. Lü
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The metamathematics of ergodic theory
Annals of Pure and Applied Logic, 2009 The metamathematical tradition, tracing back to Hilbert, employs syntactic modeling to study the methods of contemporary mathematics. A central goal has been, in particular, to explore the extent to which infinitary methods can be understood in computational or otherwise explicit terms.
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Research on Uplink Rate for Multi-tier Heterogeneous Cellular Network Under Multi-channel Environment [PDF]
Jisuanji gongcheng, 2018 Due to the characteristics of random,flexible,and complex arrangement of nodes in multi-tier heterogeneous cellular network,intra-tier and inter-tier interference cannot be ignored,which becomes more complicated when analyzing the uplink network ...
HU Han,YAO Li,YANG Jie,PAN Ziyu
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