Results 41 to 50 of about 493,296 (323)
- XSummer - Transcendental Functions and Symbolic Summation in Form [PDF]
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations ...
't Hooft +36 more
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Solution for the simple harmonic oscillator problem via unilateral Fourier transform
The solution of the simple harmonic oscillator problem is properly determined by means of the unilateral Fourier transform.
Antonio S. de Castro
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A Bode Sensitivity Integral for Linear Time-Periodic Systems [PDF]
Bode's sensitivity integral is a well-known formula that quantifies some of the limitations in feedback control for linear time-invariant systems. In this note, we show that there is a similar formula for linear time-periodic systems.
Bernhardsson, Bo, Sandberg, Henrik
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OPTIMAL BOUNDS FOR CERTAIN BIVARIATE MEANS
New bivariate means, introduced and investigated in [1], play a central role in this work. The lower and upper bounds for those means are obtained. Bounding quantities are the one-parameter means derived from the harmonic and contraharmonic means by ...
Edward Neuman
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Citation: 'harmonic mean' in the IUPAC Compendium of Chemical Terminology, 3rd ed.; International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351/goldbook.H02745 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial
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Index calculation by means of harmonic expansion
We review derivation of superconformal indices by means of supersymmetric localization and spherical harmonic expansion for 3d N=2, 4d N=1, and 6d N=(1,0) supersymmetric gauge theories.
Imamura, Yosuke
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By Means of the Means: Arithmetic, Harmonic, Geometric ...
Luciano da Fontoura Costa
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Harmonic Mean and Contra-Harmonic Mean Derivative-Based Closed Newton-Cotes Quadrature
In this paper, the Harmonic mean and Contra-harmonic mean of two endpoints [a,b] are applied at the derivative of the error term in the existing CNC formulas. This modified error term is included as an additional function to the existing formula. The new error terms are derived using the method of precision for the proposed formulas.
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Harmonic means of Wishart random matrices [PDF]
We use free probability to compute the limiting spectral properties of the harmonic mean of [Formula: see text] i.i.d. Wishart random matrices [Formula: see text] whose limiting aspect ratio is [Formula: see text] when [Formula: see text]. We demonstrate an interesting phenomenon where the harmonic mean [Formula: see text] of the [Formula: see text ...
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Spatial separation of large dynamical blue shift and harmonic generation [PDF]
We study the temporal and spatial dynamics of the large amplitude and frequency modulation that can be induced in an intense, few cycle laser pulse as it propagates through a rapidly ionizing gas. Our calculations include both single atom and macroscopic
M. V. Ammosov +4 more
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