topological shape

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• Shape optimization — is part of the field of optimal control theory. The typical problem is to find the shape which is optimal in that it minimizes a certain cost functional while satisfying given constraints. In many cases, the functional being solved depends on the …   Wikipedia

• Topological data analysis — is a new area of study aimed at having applications in areas such as data mining and computer vision. The main problems are (1) how one infers high dimensionalstructure from low dimensional representations; and (2) how one assembles discrete… …   Wikipedia

• Topological skeleton — In shape analysis, skeleton (or topological skeleton) of a shape is a thin version of that shape that is equidistant to its boundaries. The skeleton usually emphasizes geometrical and topological properties of the shape, such as its connectivity …   Wikipedia

• Shape analysis — This article describes shape analysis to analyze and process geometric shapes. The shape analysis described here is related to the statistical analysis of geometric shapes, to shape matching and shape recognition. It applies purely to the… …   Wikipedia

• Topological derivative — In the field of shape optimization, a topological derivative is, conceptually, a derivative of a function of a region with respect to small changes in its topology, such as adding a small hole.Shape optimization concerns itself with finding an… …   Wikipedia

• Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …   Wikipedia

• Shape of the Universe — Edge of the Universe redirects here. For the Bee Gees song, see Edge of the Universe (song). The local geometry of the universe is determined by whether Omega is less than, equal to or greater than 1. From top to bottom: a spherical universe, a… …   Wikipedia

• topological — topology ► NOUN 1) Mathematics the study of geometrical properties and spatial relations which remain unaffected by smooth changes in shape or size of figures. 2) the way in which constituent parts are interrelated or arranged. DERIVATIVES… …   English terms dictionary

• Compactness measure of a shape — The compactness measure of a shape, sometimes called the shape factor, is a numerical quantity representing the degree to which a shape is compact. The meaning of compact here is not related to the topological notion of compact space. Various… …   Wikipedia

• топологическое семейство — 3.26 топологическое семейство (topological shape): Категория, объединяющая типы продукции, компоненты которых отличаются только по толщине материала или высоте бортов. Источник …   Словарь-справочник терминов нормативно-технической документации

• ГОСТ Р 52868-2007: Системы кабельных лотков и системы кабельных лестниц для прокладки кабелей. Общие технические требования и методы испытаний — Терминология ГОСТ Р 52868 2007: Системы кабельных лотков и системы кабельных лестниц для прокладки кабелей. Общие технические требования и методы испытаний оригинал документа: 3.10 аксессуар системы (system accessory): Компонент системы,… …   Словарь-справочник терминов нормативно-технической документации