• Look up monotone in Wiktionary, the free dictionary. Monotone refers to a sound, for example music or speech, that has a single unvaried tone. See: pure...
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  • Thumbnail for Monotonic function
    In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept...
    19 KB (2,467 words) - 11:14, 22 June 2024
  • Thumbnail for Monotone (software)
    Monotone is an open source software tool for distributed revision control. It tracks revisions to files, groups sets of revisions into changesets, and...
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  • In the mathematical field of real analysis, the monotone convergence theorem is any of a number of related theorems proving the good convergence behaviour...
    23 KB (5,238 words) - 13:36, 21 June 2024
  • The Monotones were a six-member American doo-wop vocal group in the 1950s. They are considered a one-hit wonder, as their only hit single was "The Book...
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  • Thumbnail for Polygonal chain
    called monotone if there is a straight line L such that every line perpendicular to L intersects the chain at most once. Every nontrivial monotone polygonal...
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  • that every real-valued function on the half-line [0, ∞) that is totally monotone is a mixture of exponential functions. In one important special case the...
    3 KB (344 words) - 11:14, 24 March 2024
  • Thumbnail for Monotone polygon
    In geometry, a polygon P in the plane is called monotone with respect to a straight line L, if every line orthogonal to L intersects the boundary of P...
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  • In the mathematical field of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data...
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  • Monotonality is a theoretical concept, principally deriving from the theoretical writings of Arnold Schoenberg and Heinrich Schenker, that in any piece...
    2 KB (163 words) - 09:12, 27 August 2022
  • and probability, the monotone class theorem connects monotone classes and 𝜎-algebras. The theorem says that the smallest monotone class containing an...
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    can be split into two monotone chains. A polygon that is monotone with respect to the y-axis is called y-monotone. A monotone polygon with n vertices...
    13 KB (1,386 words) - 22:25, 13 April 2024
  • introduced by Hausdorff in 1921. The notions of completely and absolutely monotone function/sequence play an important role in several areas of mathematics...
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  • submodular function. A submodular function that is not monotone is called non-monotone. A non-monotone submodular function f {\displaystyle f} is called symmetric...
    22 KB (3,282 words) - 01:32, 21 June 2024
  • Thumbnail for Monotone likelihood ratio
    {\frac {\ f(x)\ }{g(x)}}\ } satisfies the monotone likelihood ratio property. In statistics, the monotone likelihood ratio property is a property of...
    13 KB (1,820 words) - 08:36, 18 March 2024
  • A real square matrix A {\displaystyle A} is monotone (in the sense of Collatz) if for all real vectors v {\displaystyle v} , A v ≥ 0 {\displaystyle Av\geq...
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  • entanglement monotone or entanglement measure is a function that quantifies the amount of entanglement present in a quantum state. Any entanglement monotone is...
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  • art world. Between 1947 and 1948, Klein conceived his Monotone Symphony (1949, formally Monotone Silence Symphony) that consisted of a single 20-minute...
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  • Soul Eater (redirect from Monotone Princess)
    2013. Three Soul Eater video games were produced. The first, Soul Eater: Monotone Princess (ソウルイーター モノトーン プリンセス, Sōru Ītā Monotōn Purinsesu) is an action-adventure...
    57 KB (5,537 words) - 19:40, 1 June 2024
  • In theoretical computer science, monotone dualization is a computational problem of constructing the dual of a monotone Boolean function. Equivalent problems...
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  • Thumbnail for Circuit complexity
    {O}}(t(n))} . A monotone Boolean circuit is one that has only AND and OR gates, but no NOT gates. A monotone circuit can only compute a monotone Boolean function...
    21 KB (2,565 words) - 22:00, 28 February 2024
  • In linear algebra, the operator monotone function is an important type of real-valued function, fully classified by Charles Löwner in 1934. It is closely...
    4 KB (604 words) - 11:16, 24 March 2024
  • depending on whether we take monotone or antitone Galois connections). Let (A, ≤) and (B, ≤) be two partially ordered sets. A monotone Galois connection between...
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  • The Monotone-Silence Symphony (French: Symphonie Monoton-Silence) is a piece of minimalist music by the French artist Yves Klein. It consists of 20 minutes...
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  • property A is monotone if A or AC (the complement of A) is monotone. Some authors choose to resolve this by using the term increasing monotone for properties...
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  • In computer science, a monotone priority queue is a variant of the priority queue abstract data type in which the priorities of extracted items are required...
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    I-spline (redirect from Monotone spline)
    In the mathematical subfield of numerical analysis, an I-spline is a monotone spline function. A family of I-spline functions of degree k with n free parameters...
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  • pseudo-monotone operator from a reflexive Banach space into its continuous dual space is one that is, in some sense, almost as well-behaved as a monotone operator...
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  • A (vertical) monotone chain is a path such that the y-coordinate never increases along the path. A simple polygon is (vertical) monotone if it is formed...
    16 KB (2,149 words) - 02:07, 9 November 2023
  • Monotone comparative statics is a sub-field of comparative statics that focuses on the conditions under which endogenous variables undergo monotone changes...
    42 KB (8,478 words) - 22:17, 1 January 2023