• In mathematics, Richardson's theorem establishes the undecidability of the equality of real numbers defined by expressions involving integers, π, ln ⁡...
    6 KB (704 words) - 08:03, 17 October 2024
  • (mathematical logic) Richardson's theorem (mathematical logic) Robinson's joint consistency theorem (mathematical logic) Sahlqvist correspondence theorem (modal logic)...
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  • Liouville's theorem (differential algebra) – Says when antiderivatives of elementary functions can be expressed as elementary functions Richardson's theorem – Undecidability...
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  • the exponential function, can provide undecidable theories; see Richardson's theorem and Decidability of first-order theories of the real numbers. Furthermore...
    21 KB (2,984 words) - 05:10, 2 May 2025
  • functions are equal, known as the zero-equivalence problem (see Richardson's theorem); the zeroes of a function; whether the indefinite integral of a...
    14 KB (1,586 words) - 03:29, 24 March 2025
  • elementary functions, then it is known that no such algorithm exists; see Richardson's theorem. This issue also arises in the polynomial division algorithm; this...
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  • this allows encoding of the undecidable theory of integers (see Richardson's theorem). Still, one can handle the undecidable case with functions such...
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  • has been shown that the problem is undecidable, a result known as Richardson's theorem. In general, methods specific to the expression being studied are...
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  • Thumbnail for Equality (mathematics)
    there cannot exist any algorithm for deciding such an equality (see Richardson's theorem). An equivalence relation is a mathematical relation that generalizes...
    67 KB (7,684 words) - 19:02, 5 May 2025
  • Thumbnail for Computer algebra
    2 . {\displaystyle (x+y)^{2}=x^{2}+2xy+y^{2}.} It is known from Richardson's theorem that there may not exist an algorithm that decides whether two expressions...
    25 KB (3,021 words) - 07:47, 15 April 2025
  • Thumbnail for Expression (mathematics)
    the arithmetical operations, the logarithm and the exponential (Richardson's theorem). An algebraic expression is an expression built up from algebraic...
    44 KB (5,457 words) - 15:56, 13 March 2025
  • Tarski's high school algebra problem (category Theorems in the foundations of mathematics)
    Integrals not expressible in closed-form from elementary functions Richardson's theorem – Undecidability of equality of real numbers Stanley Burris, Simon...
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  • In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise...
    16 KB (2,786 words) - 12:08, 16 April 2025
  • Holland's schema theorem, also called the fundamental theorem of genetic algorithms, is an inequality that results from coarse-graining an equation for...
    6 KB (852 words) - 20:43, 17 March 2023
  • formalization of an axiomatic system used for deducing, using rules of inference, theorems from axioms by a set of inference rules. In 1921, David Hilbert proposed...
    14 KB (1,520 words) - 08:59, 23 March 2025
  • such as telephone lines or disk drive storage. The noisy-channel coding theorem applies to BSCp, saying that information can be transmitted at any rate...
    23 KB (2,613 words) - 21:34, 28 February 2025
  • J. (2000), "Semi-invariants of quivers and saturation for Littlewood–Richardson coefficients.", J. Amer. Math. Soc., 3 (13): 467–479, doi:10.1090/S0894-0347-00-00331-3...
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  • Thumbnail for Newton's method
    square root Kantorovich theorem Laguerre's method Methods of computing square roots Newton's method in optimization Richardson extrapolation Root-finding...
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  • Thumbnail for Carl Friedrich Gauss
    Gauss produced the second and third complete proofs of the fundamental theorem of algebra. In number theory, he made numerous contributions, such as the...
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  • Thumbnail for Culture of the United Kingdom
    first true novels in English literature while Clarissa is regarded as Richardson's magnum opus and one of the greatest novels in the English language. The...
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  • In Riemannian geometry, Cheng's eigenvalue comparison theorem states in general terms that when a domain is large, the first Dirichlet eigenvalue of its...
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  • Thumbnail for Timeline of the name Palestine
    fundamentals of geography; digested into various definitions, problems, theorems, and paradoxes: with a transient survey of the surface of the earthly ball...
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  • published by Richardson (1972), and it can be even further generalized from lattices to discrete groups. One important consequence of the theorem is that,...
    12 KB (1,607 words) - 10:00, 18 October 2024
  • Thumbnail for Christoph Waltz
    named Dr. King Schultz. He has also starred in Carnage (2011), The Zero Theorem (2013), Big Eyes (2014), Downsizing (2017), Alita: Battle Angel (2019)...
    37 KB (2,851 words) - 10:25, 30 April 2025
  • Thumbnail for Julia set
    Rational Functions, Theorem 5.6.2. Beardon, Iteration of Rational Functions, Theorem 7.1.1. Beardon, Iteration of Rational Functions, Theorem 3.2.4. Tan Lei...
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  • under new colours." In November 2013 during the promotion of The Zero Theorem at the Venice Film Festival, Gilliam told Variety "I'm going to try to...
    99 KB (11,554 words) - 02:21, 19 April 2025
  • exists that can neither be proved nor disproved (see Gödel's incompleteness theorems). Leibniz identified two kinds of truth, necessary and contingent truths...
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    data. Mathematics portal Systems science portal Banach fixed point theorem – Theorem about metric spacesPages displaying short descriptions of redirect...
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  • Thumbnail for Transfer RNA
    the last nucleotide by the three 31 nucleotide minihelix tRNA evolution theorem, which also describes the pre-life to life transition on Earth. Three 31...
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  • Thumbnail for Numerical methods for ordinary differential equations
    methods are appropriate for that class of problems. The Picard–Lindelöf theorem states that there is a unique solution, provided f is Lipschitz-continuous...
    28 KB (3,916 words) - 07:09, 27 January 2025