In the mathematical discipline of complex analysis, the analytic capacity of a compact subset K of the complex plane is a number that denotes "how big" a bounded analytic function on C \ K can become. Roughly speaking, γ(K) measures the size of the unit ball of the space of bounded analytic functions outside K.
It was first introduced by Lars Ahlfors in the 1940s while studying the removability of singularities of bounded analytic functions.
complex analysis, the analyticcapacity of a compact subset K of the complex plane is a number that denotes "how big" a bounded analytic function on C \ K...
Look up analytic, analytical, or analyticity in Wiktionary, the free dictionary. Analytic or analytical may refer to: Analytical chemistry, the analysis...
the appropriate boundary conditions. Analyticcapacity – number that denotes how big a certain bounded analytic function can becomePages displaying wikidata...
research on analyticcapacity and removable sets. He solved the problem of A. G. Vitushkin about the semi-additivity of analyticcapacity. This enabled...
1931 – May 9, 2004) was a Soviet mathematician noted for his work on analyticcapacity and other parts of mathematical analysis. Anatoli Georgievich Vitushkin...
theorem Landau's constants Holomorphic functions are analytic Schwarzian derivative Analyticcapacity Disk algebra Univalent function Ahlfors theory Bieberbach...
Books Ahlfors, Lars V. Complex analysis. An introduction to the theory of analytic functions of one complex variable. Third edition. International Series...
Channel capacity, in electrical engineering, computer science, and information theory, is the theoretical maximum rate at which information can be reliably...
Theodore Reik, has emphasised the importance of the analyst's capacity to be alone in the analytic situation - to remain centred in themselves in the face of...
Google Analytics is a web analytics service offered by Google that tracks and reports website traffic and also the mobile app traffic & events, currently...
conjecture on compact subsets of C {\displaystyle \mathbb {C} } with analyticcapacity 0 {\displaystyle 0} What is the exact value of Landau's constants...
Almost all Almost always Almost everywhere Almost never Almost surely Analyticcapacity Closed unbounded set Cofinal (mathematics) Cofinite Dense set IP set...
The analytical engine was a proposed digital mechanical general-purpose computer designed by English mathematician and computer pioneer Charles Babbage...
(6): 1755–1762. doi:10.1090/s0002-9939-00-05814-7. Pajot, H. (2000). AnalyticCapacity, Rectifiability, Menger Curvature and the Cauchy Integral. Springer...
complex plane, with the possible exception of at most one point. Analyticcapacity Removable discontinuity Removable singular point at Encyclopedia of...
Prescriptive analytics is a form of business analytics which suggests decision options for how to take advantage of a future opportunity or mitigate a...
An analytical balance (or chemical balance) is a class of balance designed to measure small mass in the sub-milligram range. The measuring pan of an analytical...
the capacity to emulate human judgement. Spanning the publications of multiple journals, improvements to the accuracy of general semantic analytic computations...
Human Resources Analytics, Information Systems, and Operation groups. She was instrumental in building the company's people analyticscapacity and developing...
skills, also called cognitive functions, cognitive abilities or cognitive capacities, are skills of the mind, as opposed to other types of skills such as motor...
Lai, Yung-Cheng;Wang, Szu-Han;Jong, Jyh-Cherng. Development of AnalyticalCapacity Models for Commuter Rail Operations with Advanced Signaling Systems...
conducted in the 1980s at the Australian Road Research Board (ARRB). Its analyticalcapacity and performance models differ from the TRL model significantly, following...
SAP HANA (HochleistungsANalyseAnwendung or High-performance ANalytic Application) is an in-memory, column-oriented, relational database management system...
Epidemiological modelers unite several types of information and analyticcapacity, including: 1) mathematical equations and computational algorithms;...
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