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Showing 1 to 20 of 68 for “"continuous functions"”.
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Almost everywhere continuous functions
… be uniformly approximated by µ almost everywhere continuous simple functions if, and only if, the function itself is µ almost everywhere continuous and its range is a totally bounded subset of S. S is then specialized to be a Banach algebra and several consequences are obtained culminating in the …
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On Lattices of Continuous Functions
No abstract prepared.
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Maximal Lattice-Ordered Algebras of Continuous Functions
Made available in DSpace on 2014-12-09T22:17:36Z (GMT). No. of bitstreams: 1 6706686.pdf: 2406441 bytes, checksum: de78b8fcba1fb597e1f35989fb6ef525 (MD5) Previous issue date: 1966
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Polygonal random fields and the reconstruction of piecewise continuous functions
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1993.
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The Role of The Kolmogoroff Condition in The Characterization of Best Chebyshev Approximation of R('n)-Valued Continuous-Functions
Made available in DSpace on 2014-12-11T18:23:54Z (GMT). No. of bitstreams: 1 7310043.pdf: 2259609 bytes, checksum: f8f285bc98fdbc7497b6d0e58a2346ca (MD5) Previous issue date: 1972
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A microcomputer-based budget allocation and planning algorithm for interdependent projects
… characterized by discrete point estimates or by continuous functions. The unique approach of this algorithm is that, if continuous functions are used, the analyst may specify a functional relationship between costs and returns. Budget planning techniques were incorporated into the algorithm to …
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General properties of real-valued functions
Many general properties of real continuous functions defined on the closed interval [0,1] on the real line have been studied in the past. The present work started with a review of some known analytical results of this class C. An extended class A of positively continuous functions was then defined …
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On coincidence of algebras of functions with C(X)
The study of approximation of continuous functions has always evoked great interest. The classical result in the theory of approximation is Weierstrass's theorem on the uniform approximation of continuous functions on a bounded closed interval by polynomials. This result was later extended to …
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The strict typology : theory, generalizations and applications
… defined on the space of bounded complex-valued continuous functions Cb(X), on a locally compact Hausdorff space X, by Buck. It was found to have many applications in Approximation Theory, spectral synthesis, spaces of bounded holomorphic functions and multipliers of Banach Algebras.
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Function spaces and a problem of banach
… tool in probing the convergence of sequences of functions. The theory seems to have been triggered off by the works of Ascoli [36], Arzelà [37] and Hadamard [38]. In this thesis, we consider the space of continuous functions from a topological space X into the reals R, which we denote C(X).
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Construction of a Non-Standard Integral on AC [0, 1]
… subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an accompanying integral representation theorem. Chapter One is a review of the basic definitions needed throughout the remainder of the thesis. For the …
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Construction of a non-standard integral on AC [0, 1]
… subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an accompanying integral representation theorem. Chapter One is a review of the basic definitions needed throughout the remainder of the thesis. For the …
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Continuities on Subspaces
… space X, a function f : X → Y is S -continuous if for each S∈ S , the function f ↾ S : S → Y is continuous. This is easily seen to generalize such well known concepts as separate continuity and linear continuity. Using this definition as a way to unify several …
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Moment sequences and their applications
… cases. Second, we define the lower and upper functions V±(ð₁,... ð <sub>n</sub>) on the convex hull of the curve Γ<sub>n</sub> = {(t,.·.,t<sup>n</sup>): t ∈ [0,1] } for each positive integer n. Explicit formulas of these functions are derived and applied to the study of the subnormal …
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A p-adic spectral triple
… a spectral triple for the C*-algebra of continuous functions on the space of <em>p</em>-adic integers. On the technical level we utilize a weighted rooted tree obtained from a coarse grained approximation of the space combined with the forward derivative <em>D</em> on the tree. Our …
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Sobre la caracterización del álgebra topológica de las funciones reales y continuas sobre un espacio topológico
… of characterizing C(X), the space of real continuous functions on a completamente regularly space X. Concretely there are obtained characterizations of Ck (X) (C (X) endowed withe the compact convergence topology) as a Locally m-Convex algebra in two particular cases: for X a realcompact …
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The Factoradic Integers
… exponentiation, infinite series, and continuous functions, as well as to polynomials and their extensions. The structure of the factoradic integers is highly dependent upon the distribution of the prime numbers and relates to various topics in algebra, number theory, and non-standard …
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Invariant functionals
The study of continuous groups of transformations in function space was begun by G. Kowalewski in 1911. Vessiot considered the conditions under which r parameter Volterra transformations form a group. L. L. Dines considered projective transformations in function space continuing Kowalewski's work. …
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