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Support Points with Maximum Radial Angle
Complex Variables, Theory and Application: An International Journal, 1983It has been known for some time that every support point of class S of univalent functions must map the disk onto the complement of an analytic arc whose radial angle is less than π/4 in magnitude ...
Duren, P. L. +2 more
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Point-defect-supported martensite tetragonality
Acta Metallurgica, 1970Abstract Point defect sites in austenite and martensite may be characterized by the point at their center. Such points may be divided into sets of equipoints according to their point symmetry. These sets may be further divided into subsets according to the orientation of their principal symmetry axis.
P.G Winchell, G.R Speich
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Common supports as fixed points
Geometriae Dedicata, 1996A family \({\mathcal S}\) of subsets of \(\mathbb{R}^d\) is called by the authors sundered if, for any way of choosing a point from \(r (\leq d + 1)\) members of \({\mathcal S}\), the chosen \(r\) points are affinely independent. The authors mention that this is equivalent to being \((d - 1)\)-separated as defined by \textit{S. Cappell}, \textit{J.
Lewis, Ted +2 more
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Point-of-Care Technology Supports Bedside Documentation
JONA: The Journal of Nursing Administration, 2010As the conversion to an electronic health record intensifies, the question of which data-entry device works best in what environment and situation is paramount. Specifically, what is the best mix of equipment to purchase and install on clinical units based on staff preferences and budget constraints?
Elizabeth, Carlson +9 more
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New Support Points of S and Extreme Points of HS
Proceedings of the American Mathematical Society, 1981Let S be the usual class of univalent analytic functionsf on (zIz I < 1) normalized byf(z) = z + a2z2 + . We prove that the functions z (X +y)z2 f,((z) = 1_)2 IxI = IyI=l, x #Y, which are support points of C(, the subclass of S of close-to-convex functions, and extreme points of 9C C, are support points of S and extreme points of 9CCS whenever 0 < larg(
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Estimating the Upper Support Point in Deconvolution
Scandinavian Journal of Statistics, 2007Abstract. We consider estimation of the upper boundary point F−1 (1) of a distribution function F with finite upper boundary or ‘frontier’ in deconvolution problems, primarily focusing on deconvolution models where the noise density is decreasing on the positive halfline.
Aarts, L., Groeneboom, P., Jongbloed, G.
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LOGISTICS CENTER: INFORMATION SUPPORT POINTS
World of Transport and Transportation, 2016For the English abstract and full text of the article please see the attached PDF-File (English version follows Russian version).ABSTRACT Justifying the terms of interaction of participants in the process of cargo transportation, the author considers measures of national and local character for increasing the efficiency of transport and logistics ...
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EXTREME POINTS AND SUPPORT POINTS OF A CLASS OF ANALYTIC FUNCTIONS
Acta Mathematica Scientia, 2000For a positive sequence \((b_n)_{n\geq 2}\) the set \(F((b_n))\) is defined as the set of all functions \(f\) analytic in the unit disk of the form \(f(z)=z- \sum^\infty_{n=2} a_nz^n\), where \(a_n\geq 0\) for \(n\geq 2\) and \(\sum^\infty_{n=2} a_nb_n\leq 1\).
Peng, Zhigang, Liu, Lungang
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1995
Let \(K\) be the class of functions analytic, bounded (by 1), and non-vanishing in the unit disc, \(\Delta\). Any \(f\in K\) must be of the form \[ f(z)=\sum^\infty_{n=0}f_nz^n=e^\tau\exp\{-\lambda p(z)\}, \] where \(\lambda>0\) and \(p(z)\) is in the usual class of functions with positive real part. That is, \(p(z)\) is analytic in \(\Delta\), \(\text{
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Let \(K\) be the class of functions analytic, bounded (by 1), and non-vanishing in the unit disc, \(\Delta\). Any \(f\in K\) must be of the form \[ f(z)=\sum^\infty_{n=0}f_nz^n=e^\tau\exp\{-\lambda p(z)\}, \] where \(\lambda>0\) and \(p(z)\) is in the usual class of functions with positive real part. That is, \(p(z)\) is analytic in \(\Delta\), \(\text{
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Supporting Hyperplanes and Extremal Points
1972A nonzero continuous linear functional f is said to be a supporting (sometimes: tangent)functional for a set A⊂E at x0∈A if f(x)≥f(x0) for all x∈A. Under these conditions, the closed hyperplane \(H = \left\{ {x:f\left( x \right) = f\left( {{x_0}} \right)} \right\}\) is called a supporting hyperplane for A at the point x0.
Igor Vladimirovich Girsanov +1 more
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