# precisely+bounded

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**Convolution**— For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t …112

**Liouville's theorem (complex analysis)**— In complex analysis, Liouville s theorem, named after Joseph Liouville, states that every bounded entire function must be constant. That is, every holomorphic function f for which there exists a positive number M such that | f ( z )| ≤ M for all… …113

**Fundamental domain**— In geometry, the fundamental domain of a symmetry group of an object or pattern is a part of the pattern, as small as possible, which, based on the symmetry, determines the whole object or pattern. The set of orbits of the symmetry group define a …114

**Gordon Pask**— Andrew Gordon Speedie Pask (June 28, 1928, Derby – March 29, 1996, London) was an English cybernetician and psychologist who made significant contributions to cybernetics, instructional psychology, experimental epistemology and educational… …115

**Tightness of measures**— In mathematics, tightness is a concept in measure theory. The intuitive idea is that a given collection of measures does not escape to infinity. Contents 1 Definitions 2 Examples 2.1 Compact spaces 2.2 …116

**Subnormal operator**— In mathematics, especially operator theory, subnormal operators are bounded operators on a Hilbert space defined by weakening the requirements for normal operators. Some examples of subnormal operators are isometries and Toeplitz operators with… …117

**Geology of Alderley Edge**— Infobox Mountain Name = Alderley Edge Photo = Stormy Point 1993.jpg Caption = Stormy Point Elevation = 183 m (600 ft) Location = Cheshire, ENG Range = Prominence = Coordinates = Topographic OS Landranger 118 Grid ref UK = SJ870760 Grid ref… …118

**India**— /in dee euh/, n. 1. Hindi, Bharat. a republic in S Asia: a union comprising 25 states and 7 union territories; formerly a British colony; gained independence Aug. 15, 1947; became a republic within the Commonwealth of Nations Jan. 26, 1950.… …119

**Romania**— /roh may nee euh, mayn yeuh/, n. a republic in SE Europe, bordering on the Black Sea. 21,399,114; 91,699 sq. mi. (237,500 sq. km). Cap.: Bucharest. Romanian, România /rddaw mu nyah/. * * * Romania Introduction Romania Background: Soviet… …120

**România**— /rddaw mu nyah/; Eng. /roh may nee euh, mayn yeuh/, n. Romanian name of ROMANIA. * * * Romania Introduction Romania Background: Soviet occupation following World War II led to the formation of a Communist peoples republic in 1947 and the… …