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.
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
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
). 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
Если функция u(x) = u(x1…, xn) имеет в точке x0 второй асимптотический дифференциал, след матрицы квадратичной формы которого равен нулю, то u(x) наэывается асимптотически гармонической в точке x0. В работе докаэана гармоничность суммируемых асимптотически гармонических функций.
Authors:Sorin Abagiu, Ionel Lepadat, Elena Helerea, and Cătălin Mihai
, 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
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
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.
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.