analytic cap

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• Global analytic function — In the mathematical field of complex analysis, a global analytic function is a generalization of the notion of an analytic function which allows for functions to have multiple branches. Global analytic functions arise naturally in considering the …   Wikipedia

• Germ (mathematics) — In mathematics, the notion of a germ of an object in/on a topological space captures the local properties of the object. In particular, the objects in question are mostly functions (or maps) and subsets. In specific implementations of this idea,… …   Wikipedia

• Monodromy theorem — Illustration of analytic continuation along a curve (only a finite number of the disks Ut are shown) …   Wikipedia

• Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

• Luciano Floridi — Infobox Philosopher region = Western Philosophers era = Contemporary Philosophy color = #B0C4DE image caption = Luciano Floridi at CAP Conference name = Luciano Floridi birth = 16 November 1964, Rome Italy death = alma mater = Università degli… …   Wikipedia

• Chebyshev cube root — In mathematics, in the theory of special functions, the Chebyshev cube root is a particular inverse function of the Chebyshev polynomial of third degree. It is analogous to the cube root function is the inverse of the third power. It can be used… …   Wikipedia

• Earth Sciences — ▪ 2009 Introduction Geology and Geochemistry       The theme of the 33rd International Geological Congress, which was held in Norway in August 2008, was “Earth System Science: Foundation for Sustainable Development.” It was attended by nearly… …   Universalium

• Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …   Wikipedia

• Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   Wikipedia

• CR manifold — In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a… …   Wikipedia

• metaphysics — /met euh fiz iks/, n. (used with a sing. v.) 1. the branch of philosophy that treats of first principles, includes ontology and cosmology, and is intimately connected with epistemology. 2. philosophy, esp. in its more abstruse branches. 3. the… …   Universalium