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Showing 1 to 20 of 48 for “"Continuous function"”.

  1. Projections in Certain Continuous Function Spaces

    Dean, David WilliamUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-05T21:50:10Z (GMT). No. of bitstreams: 1 5805402.pdf: 1430619 bytes, checksum: 68af6cc7f443e71cb3a9280f32c76362 (MD5) Previous issue date: 1958

    uiuc Repository record

  2. Selection theory for infinite dimensional spaces and continuous single-valued approximations to upper semi-continuous multivalued mappings

    Pixley, Carl Preston

    … and A is a closed subset of X and f:A —> Y is a continuous function, under what conditions is there »a continuous function fzx + Y such‘ that fIA = f ? Two key theorems of topology deal with this problem. They are the Tietze Extension A Theorem and the Brouwer No—Retraction Theorem. The first …

    binghamton Repository record

  3. Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua

    Kent, Curtis Andrew2008

    … to a homomorphism which is induced by a continuous function.

    byu Repository record

  4. Image feature matching using polynomial representation of chain codes

    Houghton, Michael KevinUniversity of Central Lancashire1993

    … polynomials used to represent a piecewise continuous function derived from a chain code. This piecewise continuous function is generated from a chain code by mapping individual chain links onto real numbers. A variety of alternative mappings of chain links onto real numbers are evaluated, …

    cent-lancashire Repository record

  5. Generalising the concordant-dissonant factorisation

    Boxall, GarethDepartment of Mathematics and Applied Mathematics2005

    … factorization of an arbitrary continuous function" was introduced by Collins in [C 1971]. He defined that a continuous map is concordant if each of its fibres is contained in a quasi-component of its domain and that a continuous map is dissonant iff each of its fibres and each …

    cape-town Repository record

  6. Best Approximation With Geometric Constraints

    Xu, Yuesheng2019

    … best L<sub>p</sub> approximation to a function in L<sub>p </sub>(0,1) by convex functions, (m, n)-convex functions, (m, n)-convex functions and (m, n)-convex splines, for 1 < p < ∞ , and best uniform approximation to a continuous function by convex functions, quasi-convex functions and …

    odu Repository record

  7. Modeling red pine tree mortality: An artificial neural network approach

    Guan, Biing TzuangUniversity of Illinois at Urbana-Champaign2011

    … such networks to approximate any measurable or continuous function to any desired degree of accuracy, given enough complexity and training.

    uiuc Repository record

  8. Properties of cocontinuous functions and cocompact spaces

    Francis, Gerald L.Virginia Polytechnic Institute and State University1973

    … of cotopology in the areas of cocon·tinuous functions and cocompact spaces. Initially we investigate and provide needed results concerning closed bases for a topological space. We then study cocontinuous functions by relating them to various other weaker forms of continuous functions, namely …

    vt Repository record

  9. Dynamics of Iterated Functions Systems: Hausdorff Dimension and Related Topics

    Dai, MingdeUniversity of Illinois at Urbana-Champaign2015

    … dimension of fractal sets generated by iterated function systems (IFS). Hutchinson studied IFS and obtained a useful formula to compute the Hausdorff dimension of fractals generated by a finite family of disjoint similar IFS, where by disjoint we mean the IFS satisfies the open set condition. In …

    uiuc Repository record

  10. O grau topológico de Brouwer e Aplicações.

    Melo Júnior, José Carlos de Albuquerque.Matemática2013

    … triple (f,⌦, y), where ⌦ ⇢ rn,y 2 rn and f a continuous function in ⌦, to a integer number d(f,⌦, y). this function, known as degree, through its properties and consequences, allows us to find meaningful answers about the existence, uniqueness or multiplicity of solutions for the equation f(x) …

    brazil-ufpb Repository record

  11. Zero-dimensional spaces and their inverse limits

    Sahan, SahikaMissouri University of Science and Technology

    … the inverse limit on [0,1] with an upper semi-continuous function with a connected graph has either one or infinitely many points. We show that this result cannot be generalized to the inverse limits on simple triods or simple closed curves. In addition to that, we introduce a class of …

    must-thes Repository record

  12. In Situ X-Ray Investigations of Staging and Sequencing In Potassium-Graphite Intercalation Compounds

    Misenheimer, Mark EugeneUniversity of Illinois at Urbana-Champaign2015

    … concentration of admixed stages is seen to be a continuous function of the thermodynamic parameters. However, the transition between stage n and stage n+1 still exhibits a discontinuity which can be characterized as a gap in the allowed concentrations for stage admixing. The size of this gap …

    uiuc Repository record

  13. Continuous-time Latent-variable Models for Time Series

    Rubanova, Yulia2020

    … models, a common approach is to convert a continuous timeline into a discrete one by aggregating observations into a sequence of discrete clusters. However, this transformation erases a lot of the temporal structure of the data and prevents us from utilizing the data to its full potential. …

    toronto-retro Repository record

  14. Cellular mappings on manifolds

    Haver, William Emery

    … In particular; for n <strong>≠</strong> M, a continuous function defined from a manifold onto itself is cellular if and only if it can be uniformly approximated by homeomorphisms. This thesis is a study of cellular mappings, spaces of cellular mappings and a class of mappings, called UV ∞maps …

    binghamton Repository record

  15. Two-step coding theorem in the nearly continuous category

    Salvi, Niketa, author, Shipman, Patrick, advisor, Şahin, Ayşe, advisor, Dangelmayr, Gerhard, committee member, Oprea, Iuliana, committee member, Wang, Haonan, committee memberColorado State University. Libraries2013

    … measurable and a topological structure. A nearly continuous Z-system consists of a Polish space X with a non-atomic Borel probability measure μ and an ergodic measure-preserving homeomorphism T on X . Let ƒ : X → R be a positive, nearly continuous function bounded away from 0 and ∞. This gives …

    colostate Repository record

  16. An Introduction to the Lebesgue Integral

    Adi, Ikhlas2018

    … to define, and it allows one to integrate every continuous function. It is really important to have a definition of the integral that allows a wider class of functions to be integrated. However, there are many other types of integrals, the most important of which is the Lebesgue integral. The …

    govst Repository record

  17. Spectral densities of discrete and continuous-indexed random fields

    Shaw, Jason[Bloomington, Ind.] : Indiana University2010

    … uniformly, each will have a spectral density function (not necessarily continuous) that is bounded between two positive constants. These spectral density functions will converge in a weak sense to another function (not necessarily continuous) that is also bounded between two positive …

    iu Repository record

  18. Counting and Averaging Problems in Graph Theory

    Douma, FemkeDurham University2010

    … (1966), proved the following result: Given a continuous function f on a compact surface M of constant curvature -1 and its periodic lift g to the universal covering, the hyperbolic plane, then the averages of the lift g over increasing spheres converge to the average of the function f over the …

    durham Repository record

  19. Analysis of weighted l̳₁-minimization for model based compressed sensing

    Misra, SidhantMassachusetts Institute of Technology2011

    … where the probabilities are evaluations of a continuous function at uniformly spaced points in a given interval. For this case, we use weights which have a similar characterization . We demonstrate our techniques through numerical computations for a certain class of weights and compare some of …

    mit Repository record

  20. A systematic investigation of the parameters affecting the accuracy of the vortex-lattice method

    Kelly, S. GrahamVirginia Polytechnic Institute and State University1977

    … to represent the pressure distribution as a continuous function over the surface of the wing. Delta, arrowhead, and cropped delta wings are presented as numerical examples. Parametric studies are made for the delta wing of aspect ratio one. It is found that the parameter which has the …

    vt Repository record

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