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Abstract  

We study (φ,φ′)-holomorphic maps between almost contact metric manifolds, in particular horizontally conformal (φ,φ′)-holomorphic submersions, and obtain some criteria for the harmonicity of such maps.

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1 Introduction For any positive integer n , let H n = 1 + 1 2 + 1 3 + … + 1 n = u n υ n ,   ( u n , υ n ) = 1 ,   υ n > 0. The number H n is called the n-th harmonic number . There is a series of articles on the properties of harmonic numbers

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domain and the constituent parts of compounds form separate harmonic domains; furthermore, that (ii) morphologically simplex 1 and complex forms behave in the same way harmonically within the domain of harmony as identified in (i) above (e.g. Siptár

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). To obviate this, a scheme of allocation called harmonic counting (Hagen 2008 ) issues credit according to authorship rank and number of co-authors, removing the inflationary or equalising bias of full credit or fractional credit respectively

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Реэюме  

Если функция u(x) = u(x 1…, x n) имеет в точке x 0 второй асимптотический дифференциал, след матрицы квадратичной формы которого равен нулю, то u(x) наэывается асимптотически гармонической в точке x 0. В работе докаэана гармоничность суммируемых асимптотически гармонических функций.

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1991 Weiß B., Bíró O. Multigrid for time-harmonic 3d eddy-current analysis with edge elements, IEEE Trans. Mag. , Vol. 41, No. 5, 2005, pp. 1712

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] Carbone R. , Menniti D. , Morrison R. E. , Delaney E. Harmonic and inter-harmonic distortion in current source type inverter drives , IEEE Transactions on Power Delivery , Vol. 10 , No. 3 , 1995 , pp. 1576

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Abstract  

We present new examples of harmonic and minimal unit vector fields. These are radial vector fields on tubular neighbourhoods about points and submanifolds in two-point homogeneous spaces and harmonic manifolds, and about characteristic curves in Sasakian space forms.

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Abstract  

A new technique for the simultaneous measurement of higher order harmonic of temperature wave under temperature scan was proposed. The mathematical rule for the propagation of harmonies in the film shaped specimen was examined and the principle of Fourier transform thermal analysis was theoretically and experimentally justified. This principle applied to a technique called ‘Fourier transform thermal analysis’, makes it possible to determine simultaneously thermal diffusivity, heat capacity per unit volume and thermal conductivity as a function of frequency and temperature. The results on thermoplastics were shown and the glass transition and the crystallization were discussed.

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Abstract  

Based on the concept of so-called (total) omnipresence of operators, several results on the generity of (translation-dilation) universal functions are proved. Mainly to have a unified approach to holomorphic and harmonic functions, in the first part operators on spaces of P-holomorphic functions are considered. The second part is devoted to holomorphic functions having lacunary power series structure and to holomorphic functions which are univalent in certain prescribed sets.

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