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Harmonizing the Harmonized System

2022
International trade research relies heavily on data reported at the product level. Regular classification updates of the “Harmonized System” lead to intertemporal inconsistencies affecting up to 44% of world goods trade. Existing methods to standardize product vintages either drop numerous products over time or bulk updated codes into large synthetic ...
Piotr Lukaszuk, David Torun
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A method for analysis of harmonics and inter-harmonics

48th Midwest Symposium on Circuits and Systems, 2005., 2005
A method for analysis of signals containing harmonics and inter-harmonics is presented and discussed. This method is primarily developed for analysis of power system signals which contain harmonic and inter-harmonic components. However, usefulness of the proposed technique goes beyond the area of power systems and it can be employed for other ...
M. Karimi-Ghartemani, H. Karimi
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Sets of Harmonicity for Finely Harmonic Functions

Potential Analysis, 2004
The author establishes the sharpness of a theorem of Fuglede. \textit{B. Fuglede} [Ann. Inst. Fourier 24, No. 4, 77--91 (1974; Zbl 0287.31003)] observed the following result. Let \(U\) be an open set in \({\mathbb R}^n\) (\(n\geq 2\)). If \(u\) is finely harmonic on \(U\), then there is a dense open subset \(V\) of \(U\) on which \(u\) is harmonic. The
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Neighborhoods of Harmonic and Stable Harmonic Mappings

Bulletin of the Malaysian Mathematical Sciences Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bappaditya Bhowmik, Santana Majee
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Harmonic maps and harmonic morphisms

Journal of Mathematical Sciences, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Harmonic triangulations

ACM Transactions on Graphics, 2019
We introduce the notion of harmonic triangulations: a harmonic triangulation simultaneously minimizes the Dirichlet energy of all piecewise linear functions. By a famous result of Rippa, Delaunay triangulations are the harmonic triangulations of planar point sets. We prove by explicit counterexample that in 3D a harmonic triangulation does not exist in
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The Harmonic Conics

The Mathematical Gazette, 1935
The following notes are the outcome of a course of lectures to pupils on invariants. The methods are new to me, but I publish them with hesitation and apologise beforehand should they prove well known.
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On harmonic retrieval

ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
This paper reviews methods for obtaining short time spectral estimates for sine waves in noise. In the presence of noise, autoregressive methods have well-known difficulties[1,2], while iterations based upon Pisarenko's harmonic retrieval method perform quite well.
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The Harmonic Logarithm

The Mathematical Gazette, 1956
Recently a good deal of interest has been taken in the properties of numbers which can be expressed and proved without going beyond the number 1 and the Four Rules, in other words by using only rational numbers. Professor T. S. Broderick has established various theorems about the number and distribution of primes, using this “sub ...
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