Results 291 to 300 of about 1,125,521 (310)

Harmonic and quasi-harmonic spheres [PDF]

open access: possibleCommunications in Analysis and Geometry, 1999
Let \(M\), \(N\) be smooth compact Riemannian manifolds without boundary, \(m= \dim M\) and the sectional curvature of \(N\) is nonpositive, and \(\phi:M\to N\) be a smooth map. This paper deals with the following conjecture: Any weakly harmonic map of finite energy from \(M\) to \(N\) is smooth provided that there are no harmonic spheres \(S^l\) in ...
Fanghua Lin, Changyou Wang
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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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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 ...
Houshang Karimi   +1 more
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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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Harmonic singing and the Harmonic Choir

The Journal of the Acoustical Society of America, 1987
In harmonic singing, the singer emphasizes a selected upper harmonic of the vocal pulse. In this way, he can sing two notes at once, the fundamental and the selected harmonic. Members of the Harmonic Choir have developed techniques for the following effects: (1) The fundamental is constant while the selected harmonic varies; (2) the fundamental varies ...
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The Harmonic Cord [PDF]

open access: possibleNature, 1947
WHILE the possibility of vibrating a thin cord regularly in a flat plane from a tuning fork has long been known as the Melde cord, from its discoverer ; and the development of large cigar-shaped loops on a thick stretched cord, corresponding to the fundamental and harmonic frequencies, by variable-speed electric-motor drive adjusted to the natural ...
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The Harmonic Oscillator [PDF]

open access: possible, 1989
As an application of the Schrodinger equation, we now calculate the states of a particle in an oscillator potential. From classical mechanics we know that such a potential is of greater importance, because many complicated potentials can be approximated in the vicinity of their equilibrium points by a harmonic oscillator.
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