# precisely+bounded

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**Trace class**— In mathematics, a trace class operator is a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis. Trace class operators are essentially the same as nuclear operators, though many… …82

**Spectral radius**— In mathematics, the spectral radius of a matrix or a bounded linear operator is the supremum among the absolute values of the elements in its spectrum, which is sometimes denoted by rho;( middot;).pectral radius of a matrixLet lambda;1, hellip;,… …83

**Infinite-dimensional holomorphy**— In mathematics, infinite dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic function to functions defined and taking values in complex Banach spaces (or Fréchet spaces… …84

**Duoprism**— Set of uniform p,q duoprisms Example 16,16 duoprism Schlegel diagram Projection from the center of one 16 gonal prism, and all but one of the opposite 16 gonal prisms are shown. Type Prismatic uniform polychoron Schläfli symbol {p}x{q} Coxeter …85

**Differential geometry of surfaces**— Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …86

**Operator (mathematics)**— This article is about operators in mathematics. For other uses, see Operator (disambiguation). In basic mathematics, an operator is a symbol or function representing a mathematical operation. In terms of vector spaces, an operator is a mapping… …87

**Topological property**— In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space …88

**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… …89

**United States**— a republic in the N Western Hemisphere comprising 48 conterminous states, the District of Columbia, and Alaska in North America, and Hawaii in the N Pacific. 267,954,767; conterminous United States, 3,022,387 sq. mi. (7,827,982 sq. km); with… …90

**Distribution (mathematics)**— This article is about generalized functions in mathematical analysis. For the probability meaning, see Probability distribution. For other uses, see Distribution (disambiguation). In mathematical analysis, distributions (or generalized functions) …