Search Results - set functions, measures and integrals with values in ordered (spaces* OR space*)

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  1. 1
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    Local order metrics for many-particle systems across length scales by Maher, Charles Emmett, Torquato, Salvatore

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 21.08.2024
    Published in arXiv.org (21.08.2024)
    “… Since an infinite set of \(n\)-particle correlation functions is required to fully characterize a system, one must settle for a reduced set of structural information, in practice…”
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  2. 2
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    Neighborhood Supported Model Level Fuzzy Aggregation for Moving Object Segmentation by Chiranjeevi, Pojala, Sengupta, Somnath

    ISSN: 1057-7149, 1941-0042, 1941-0042
    Published: New York, NY IEEE 01.02.2014
    Published in IEEE transactions on image processing (01.02.2014)
    “… Concepts from Sugeno and Choquet integrals are incorporated in our algorithm to compute fuzzy similarities from the ordered similarity function values for each model…”
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  3. 3
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    Local order metrics for many-particle systems across length scales by Maher, Charles Emmett, Torquato, Salvatore

    ISSN: 2643-1564, 2643-1564
    Published: American Physical Society 01.09.2024
    Published in Physical review research (01.09.2024)
    “… in physics, chemistry, and materials science. Since an infinite set of n -particle correlation functions is required to fully characterize a system, one must settle for a reduced set of structural information, in practice…”
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  4. 4
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    Functions

    Published: Washington DC The Mathematical Association of America 2011
    Published in A Primer of Real Functions (2011)
    “…12. Functions. In elementary mathematics, it is customary to say that y is a function of x if, when x is given, y is determined (uniquely…”
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  5. 5
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    Sets Uniquely Determined by Projections on Axes I. Continuous Case by Fishburn, P. C., Lagarias, J. C., Reeds, J. A., Shepp, L. A.

    ISSN: 0036-1399, 1095-712X
    Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.02.1990
    Published in SIAM journal on applied mathematics (01.02.1990)
    “…This paper studies sets S in Rnwhich are uniquely reconstructible from their hyperplane integral projections Pi(xi; S) = ∫∫ ⋯ ∫ χs(x1, ⋯, xi, ⋯, xn) dx1⋯ dxi - 1dxi + 1…”
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  6. 6
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    On strong uniform distribution III by Nair, R.

    ISSN: 0019-3577, 1872-6100
    Published: Elsevier B.V 23.06.2003
    Published in Indagationes mathematicae (23.06.2003)
    “… used | A| to denote its cardinality. Also let a 1 ∘ … ∘ a k denote the set {b 1…b k : b 1ϵa k}, counted with multiplicity and ordered by absolute value…”
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