Region (mathematical analysis)

In mathematical analysis, the word region usually refers to a subset of $\R^n$ that is open (in the standard Euclidean topology), connected and non-empty. A closed region is sometimes defined to be the closure of a region.

Region and closed regions are often used as domains of functions or differential equations.

This mathematical analysis–related article is a stub. You can help Wikipedia by expanding it.v · Categories: Mathematical analysis stubs Mathematical analysis Topology Wikimedia Foundation. 2010. Игры ⚽ Поможем сделать НИР Closed range theorem List of closed rides and attractions Look at other dictionaries: Analysis — (from Greek ἀνάλυσις , a breaking up ) is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle,… …   Wikipedia analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium Mathematical economics — Economics …   Wikipedia Mathematical optimization — For other uses, see Optimization (disambiguation). The maximum of a paraboloid (red dot) In mathematics, computational science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) refers to… …   Wikipedia Mathematical diagram — This article is about general diagrams in mathematics. For diagrams in the category theoretical sense, see Diagram (category theory). Euclid s Elements, ms. from Lüneburg, A.D. 1200 Mathematical diagrams are diagrams in the field of mathematics,… …   Wikipedia Mathematical descriptions of physical laws — For worded descriptions and criteria of physical laws, see Physical law. For the nomenclature used see Physical quantity and Defining equation (physics). Physical laws are often summarized by a single equation, or at least a small set of… …   Wikipedia Multi-criteria decision analysis — Multiple criteria decision making or multiple criteria decision analysis is a sub discipline of operations research that explicitly considers multiple criteria in decision making environments. Whether in our daily lives or in professional… …   Wikipedia Spatial analysis — In statistics, spatial analysis or spatial statistics includes any of the formal techniques which study entities using their topological, geometric, or geographic properties. The phrase properly refers to a variety of techniques, many still in… …   Wikipedia Sensitivity analysis — (SA) is the study of how the variation (uncertainty) in the output of a mathematical model can be apportioned, qualitatively or quantitatively, to different sources of variation in the input of a model Saltelli, A., Ratto, M., Andres, T.,… …   Wikipedia Harris affine region detector — In the fields of computer vision and image analysis, the Harris affine region detector belongs to the category of feature detection. Feature detection is a preprocessing step of several algorithms that rely on identifying characteristic points or …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”