Results 231 to 240 of about 3,698,291 (269)
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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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On extreme points and support points of the class S
1985Let S denote the class of normalized functions which are holomorphic and univalent in the unit disc \(\Delta =\{z\in {\mathbb{C}}: | z| >1\}\). \({\mathfrak S}(S)\) denotes the set of all support points of the class S, and E(\(\overline{co} S)\) the set of extreme points of the closed convex hull of S.
Brickman, Louis +2 more
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Interactive Point System Supporting Point Classification and Spatial Visualization
2018Point system is structured marketing strategy offered by retailers to motivate customers to keep buying goods or paying for the services. However, current point system is not enough for reflecting where points come from. In this paper, concept of point classification is put forward. Points are divided into different categories based on source.
Boyang Liu, Soh Masuko, Jiro Tanaka
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Non-Hermitian topology and exceptional-point geometries
Nature Reviews Physics, 2022Kun Ding, Chen Fang, Guancong
exaly