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Integrating artificial intelligence and manual curation to enhance bioassay annotations in ChEMBL. [PDF]

open access: yesJ Cheminform
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Harmonic mappings and quasiconformal mappings

Journal d'Analyse Mathématique, 1986
Given a homeomorphism, \(w=H(e^{i\theta})\), \(0\leq \theta \leq 2\pi\), of the unit circumference \(\partial U\), we denote by Q(H) the class of quasiconformal homeomorphisms of U onto itself with boundary values H on \(\partial U\). The extremal dilatation for the class Q(H) is \textit{\(K_ H=\inf \{K[f]:\) \(f\in Q(H)\},\) where \[ K[f]=ess \sup [(|
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fLk-Harmonic Maps and fLk-Harmonic Morphisms

Acta Mathematica Vietnamica, 2020
The authors define another variant of harmonic maps between manifolds. It is based on the \(L_k\)-harmonic maps involving so-called Newton transformations associated with oriented hypersurfaces. The \(L_k\)-harmonic maps have been introduced in [\textit{M. Aminian} and \textit{S. M. B. Kashani}, Acta Math. Vietnam. 42, No.
Aminian, Mehran, Namjoo, Mehran
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Harmonic maps with potential

Calculus of Variations and Partial Differential Equations, 1997
Let \(f: (M,g)\to (N,h)\) be a smooth map between two Riemannian manifolds and \(G:N\to\mathbb{R}\) be a given function. The authors study the following energy functional \(E_G(f)={1\over 2}\int[|df|^2- 2G(f)]dv_g\), and call \(f\) the harmonic map with potential \(G\) if \(f\) satisfies the Euler-Lagrange equation \(\tau(f)+\nabla G(f)=0\).
FARDOUN A, RATTO, ANDREA
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A Report on Harmonic Maps

Bulletin of the London Mathematical Society, 1978
FLWNA ; SCOPUS: ar.j ; info:eu-repo/semantics ...
Eells, James, Lemaire, Luc
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