Results 81 to 90 of about 5,352,010 (246)
Convexity at infinity and bounded harmonic functions [PDF]
It is shown that a complete simply connected negatively curved manifold supports nontrivial bounded harmonic functions if the singular set of the ideal boundary is disconnected.
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Abstract Studies of Upper Cretaceous deposits in North America have provided invaluable insights into the continental ecosystems of this time. Theropod (Saurischia, Dinosauria) pedal phalanges are commonplace in these deposits but can be difficult to identify at a finer taxonomic resolution.
Trystan M. Warnock‐Juteau +2 more
wiley +1 more source
On approximately harmonic h-convex functions depending on a given function
A new class of harmonic convex function depending on given functions which is called as ?approximately harmonic h-convex functions? is introduced. With the discussion of special cases it is shown that this class unifies other classes of approximately harmonic h-convex function. Some associated integral inequalities with these new classes of
Awan, Muhammad Uzair +4 more
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Evolutionary morphology of the haplorhine hamate
Abstract Primates adopt a variety of hand postures during an impressive diversity of locomotor and manipulative behaviors. Morphological research has found that elements of the hand skeleton, such as the hamate, hold key information for inferring hand use and locomotor kinematics in extinct species.
Laura E. Hunter +4 more
wiley +1 more source
Radius of Close-to-convexity of Harmonic Functions
Let ${\mathcal H}$ denote the class of all normalized complex-valued harmonic functions $f=h+\bar{g}$ in the unit disk ${\mathbb D}$, and let $K=H+\bar{G}$ denote the harmonic Koebe function. Let $a_n,b_n, A_n, B_n$ denote the Maclaurin coefficients of $h,g,H,G$, and $${\mathcal F}=\{f=h+\bar{g}\in {\mathcal H}:\,|a_n|\leq A_n and |b_n|\leq B_n for n ...
Kalaj, David +2 more
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Front Propagation Through a Perforated Wall
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Harmonic mappings related to the convex functions
The main purpose of this paper is to give the extent idea which was introduced by R. M. Robinson [5]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings related to the convex functions.
Yemişci, Halime Arzu +1 more
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Harmonically-Related Musical Notes
HARMONICALLY-RELATED MUSICAL NOTES. This dataset contains 15 groups of four harmonically-related musical notes extracted from the RWC Musical Instrument Sound Database [1]. The instruments selected are: viola, violin, cello, piano, soprano sax, bassoon,
Alejandro Delgado Castro +1 more
core +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Estimating a convex function in nonparametric regression [PDF]
A new nonparametric estimate of a convex regression function is proposed and its stochastic properties are studied. The method starts with an unconstrained estimate of the derivative of the regression function, which is firstly isotonized and then ...
Dette, Holger, Birke, Melanie
core

