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Table of Integrals, Series, and Products

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The article was published on 2007-01-01 and is currently open access. It has received 4923 citations till now. The article focuses on the topics: Table (landform).

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Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides

TL;DR: A Fermi-Bose mapping method is used to determine the exact ground states of several models of mixtures of strongly interacting ultracold gases in tight waveguides, which are generalizations of the Tonks-Girardeau (TG) gas and fermionic Tonks/FTG gas.
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Neutrino oscillations: quantum mechanics vs. quantum field theory

TL;DR: In this article, the free parameters of the quantum-mechanical (QM) wave packet approach and the quantum field theoretic (QFT) treatment of neutrino oscillations are compared.
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STFT With Adaptive Window Width Based on the Chirp Rate

TL;DR: Simulation results show that the substantially modified ASTFT method has higher energy concentration than the other ASTFTs, especially for multicomponent signals and nonlinear FM signals and for IF estimation, and is superior to many other adaptive TFRs in low signal-to-noise ratio (SNR) environments.
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Correlation Functions in Non-Relativistic Holography

TL;DR: In this paper, the gravity side is used to calculate n-point correlation functions of scalar fields by reducing the computation to that in ordinary AdS space via a particular Fourier transform.
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Multi-instantons and multicuts

TL;DR: In this article, the authors derived general expressions for multi-instanton contributions in two-dimensional quantum gravity, verifying them by computing the instanton corrections to the string equation, which can be interpreted as regularized partition functions for multiple ZZ-branes, which take into full account their backreaction on the target geometry.