Results 51 to 60 of about 120,275 (213)
On the number of harmonic frames
Applied and Computational Harmonic Analysis, 2020 There is a finite number $h_{n,d}$ of tight frames of $n$ distinct vectors for $\mathbb{C}^d$ which are the orbit of a vector under a unitary action of the cyclic group $\mathbb{Z}_n$. These cyclic harmonic frames (or geometrically uniform tight frames) are used in signal analysis and quantum information theory, and provide many tight frames of ...
Simon Marshall, Shayne Waldron
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Infinitary harmonic numbers [PDF]
Bulletin of the Australian Mathematical Society, 1990 The infinitary divisors of a natural number n are the products of its divisors of the , where py is an exact prime-power divisor of n and (where yα = 0 or 1) is the binary representation of y. Infinitary harmonic numbers are those for which the infinitary divisors have integer harmonic mean.
Hagis, Peter jun., Cohen, Graeme L.
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Generalized formulation of multilevel selective harmonic elimination PWM: Case I-Non-Equal DC Sources [PDF]
, 2006 The paper presents optimal solutions for eliminating harmonics from the output waveform of a multilevel staircase pulse-width modulation (PWM) method with non-equal dc sources.
Dahidah, M.S.A., Agelidis, V.G.
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ERDOS-SMARANDACHE NUMBERS [PDF]
, 1999 The starting point of this article is represented by a recent work of Finch [2000]. Based on two asymptotic results concerning the Erdos function, he proposed some interesting equations concerning the moments of the· Smarandache function. The aim of this
Tabirca, Tatiana, Tabirca, Sabin
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Parametric Integrals for Binomial Series with Harmonic Polynomials
AxiomsBinomial series involving harmonic polynomials are expressed in terms of parametric integrals. By evaluating these parametric integrals, we establish several remarkable closed formulae for the infinite series containing both central binomial coefficients
Chunli Li, Wenchang Chu
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Utility harmonic impedance estimation based on mutual information and data optimization
电力工程技术, 2023 Accurate calculation of harmonic impedance is the premise of harmonic control and reasonable division of harmonic responsibility. The existing harmonic impedance estimation methods should meet the conditions that the background harmonic fluctuations are ...
XU Fangwei +5 more
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Cubic harmonics and Bernoulli numbers
Journal of Combinatorial Theory, Series A, 2012 18 pages, 3 ...
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Combinatorial Identities with Multiple Harmonic-like Numbers
AppliedMathMultiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters.
Kunle Adegoke, Robert Frontczak
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On abolishing symmetry requirements in the formulation of a five-level selective harmonic elimination pulse-width modulation technique [PDF]
, 2006 Selective harmonic elimination pulse width modulation (SHE-PWM) techniques offer a tight control of the harmonic spectrum of a given voltage waveform generated by a power electronic converter along with a low number of switching transitions.
Rao, M.V. +2 more
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Harmonic numbers, harmonic series and zeta function [PDF]
Moroccan Journal of Pure and Applied Analysis, 2018 AbstractThis paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias. The other parts are devoted to the seriesis(z)=∑n=1∞μ(n)nszn$\mathcal{M}{i_s}(z) = \sum\limits_{
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