Results 11 to 20 of about 1,125,521 (310)
Proceedings of the American Mathematical Society, 1958 1. Suppose that the functions x=x(a, 3), y=y(a, f) define a oneto-one harmonic mapping of the unit disc P in the a, p3-plane (a+i3 ==y) onto a convex domain C in the x, y-plane (x+iy=z). The origin is assumed to be fixed. Introducing two functions F(y) and G(y) which, in r, depend analytically upon the variable y we may write z = Re F(,y) +i Re G(y ...
Johannes C. C. Nitsche
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Harmonic and relative harmonic dimensions [PDF]
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985 On an open Riemann surface R of Heins type (i.e. R is parabolic with a single ideal boundary component, \(\delta\) R), this paper considers the relationship between the harmonic dimension of the ideal boundary, dim \(\delta\) R, and the relative harmonic dimension of the ideal boundary, \(\dim_ F\delta R\).
Mitsuru Nakai, Leo Sario
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International Journal of Modern Physics A, 2000 The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination of hpl's) and forming a set closed under the transformation of the arguments x=1/z and x=(1-t)/(1+t). The coefficients of their expansions and their Mellin transforms
Remiddi, Ettore +1 more
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Journal of Knot Theory and Its Ramifications, 2016 The harmonic knot [Formula: see text] is parametrized as [Formula: see text] where [Formula: see text], [Formula: see text] and [Formula: see text] are pairwise coprime integers and [Formula: see text] is the degree [Formula: see text] Chebyshev polynomial of the first kind. We classify the harmonic knots [Formula: see text] for [Formula: see text] We
Koseleff, Pierre-Vincent, Pecker, Daniel
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Harmonicity of the inverse of a harmonic diffeomorphism
Journal of Mathematical Analysis and Applications, 2012 AbstractIn this paper we obtain a necessary and sufficient condition for the harmonicity of the inverse of a harmonic diffeomorphism. As an application, we give explicit representations of reversible logharmonic diffeomorphisms. As another application, we connect the harmonicity of the inverse of a hyperbolic harmonic quasiconformal diffeomorphism with
Xingdi Chen, Ainong Fang
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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]
Abstract and Applied Analysis, 2012 For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U = ϕ−1(V) ⊂ M projects down, via its horizontal component, to a ...
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Heartbeat Harmonics Detectability During Driving Simulation Using NHA and CW Doppler Radar
IEEE Access, 2023 Several studies have been published on noncontact heartbeat detection recently. Particularly, a few studies have found that radar for noncontact detection is effective for long-term monitoring.
Taichi Horimoto +8 more
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Analysis of Energy Transport Behavior and Geometric Effects in Graphene
Frontiers in Mechanical Engineering, 2020 Graphene is an excellent heat conductor, with the potential to be used as a heat spreader for applications where there are fast, transient heat pulses.
Alejandro Guajardo-Cuéllar +3 more
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IEEE Access, 2023 There are several ways to reduce the ripple magnitude for direct torque-controlled permanent magnet synchronous motor (PMSM) drives. In this work, the compensated duty ratio optimized direct torque control (DDTC-TC) method was proposed to reduce the ...
Berhanu Deggefa Lemma +1 more
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