• Thumbnail for Takens's theorem
    geometric shape of structures in phase space. Takens' theorem is the 1981 delay embedding theorem of Floris Takens. It provides the conditions under which a...
    10 KB (1,298 words) - 18:55, 17 August 2024
  • 2m-space Whitney immersion theorem – On immersions of smooth m-dimensional manifolds in 2m-space and (2m-1) space Takens's theorem – Conditions under which...
    16 KB (1,966 words) - 20:48, 19 June 2025
  • Thumbnail for Floris Takens
    prediction was later confirmed by experiment. Takens also established the result now known as the Takens's theorem, which shows how to reconstruct a dynamical...
    6 KB (483 words) - 14:47, 3 June 2025
  • Euclidean spacePages displaying short descriptions of redirect targets Takens's theorem – Conditions under which a chaotic system can be reconstructed by observation...
    13 KB (2,017 words) - 12:05, 7 April 2025
  • "Taken", a song by the Waifs from Sink or Swim "Taken", a song by Zug Izland from 3:33 Takens' theorem, Floris Takens' mathematical theorem The Taken enemy...
    2 KB (301 words) - 19:20, 30 March 2025
  • Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting conditional probabilities, allowing...
    49 KB (6,809 words) - 21:49, 13 July 2025
  • systems) Ratner's theorems (ergodic theory) Sarkovskii's theorem (dynamical systems) Takens's theorem (dynamical systems) Euler's theorem on homogeneous...
    78 KB (6,296 words) - 20:31, 6 July 2025
  • Thumbnail for Fermat's Last Theorem
    In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...
    103 KB (11,691 words) - 21:23, 14 July 2025
  • but rather chaotic noise, with a low-dimensional fractal attractor. Takens's theorem Correlation integral Recurrence quantification analysis Approximate...
    5 KB (663 words) - 13:47, 7 April 2025
  • Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...
    92 KB (12,173 words) - 02:29, 24 June 2025
  • generalized Kolmogorov complexity. Instead of proving similar theorems, such as the basic invariance theorem, for each particular measure, it is possible to easily...
    38 KB (4,498 words) - 15:27, 19 June 2025
  • Thumbnail for Nyquist–Shannon sampling theorem
    The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...
    51 KB (6,838 words) - 02:04, 23 June 2025
  • Thumbnail for Noether's theorem
    Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law...
    71 KB (11,807 words) - 22:12, 19 June 2025
  • Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with...
    78 KB (9,867 words) - 23:31, 12 July 2025
  • differentiation theorem is a theorem of real analysis, which states that for almost every point, the value of an integrable function is the limiting average taken around...
    11 KB (1,697 words) - 21:09, 10 July 2024
  • system variables as time series observations, Takens' embedding theorem can be applied. Takens' theorem generically proves that the state space of a dynamical...
    8 KB (1,053 words) - 21:35, 24 May 2025
  • Thumbnail for Stokes' theorem
    theorem, also known as the Kelvin–Stokes theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls, or simply the curl theorem,...
    30 KB (4,860 words) - 18:59, 5 July 2025
  • Thumbnail for Central limit theorem
    In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...
    67 KB (9,202 words) - 03:48, 9 June 2025
  • Thumbnail for Residue theorem
    In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions...
    13 KB (3,290 words) - 09:31, 29 January 2025
  • algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, the power ⁠ ( x...
    42 KB (6,735 words) - 09:42, 24 June 2025
  • Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's Last Theorem, about integer solutions to an + bn = cn...
    956 bytes (156 words) - 15:57, 23 September 2022
  • Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f...
    61 KB (8,516 words) - 14:55, 14 June 2025
  • Thumbnail for Arrow's impossibility theorem
    Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...
    72 KB (6,839 words) - 05:37, 16 July 2025
  • into higher-dimensional state-spaces by time-delay embedding with Takens's theorem. The state-space models are evaluated based on in-sample fidelity to...
    21 KB (2,589 words) - 02:53, 26 May 2025
  • Alternately, conservative systems are those to which the Poincaré recurrence theorem applies. An important special case of conservative systems are the measure-preserving...
    11 KB (1,774 words) - 21:16, 8 July 2025
  • multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem from...
    11 KB (2,294 words) - 08:12, 10 July 2025
  • In mathematics, Kruskal's tree theorem states that the set of finite trees over a well-quasi-ordered set of labels is itself well-quasi-ordered under...
    14 KB (1,642 words) - 16:05, 18 June 2025
  • In computability theory, Rice's theorem states that all non-trivial semantic properties of programs are undecidable. A semantic property is one about...
    12 KB (1,712 words) - 11:17, 18 March 2025
  • also known as a "helping theorem" or an "auxiliary theorem". In many cases, a lemma derives its importance from the theorem it aims to prove; however...
    4 KB (399 words) - 21:11, 18 June 2025
  • In combinatorics, Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours)...
    67 KB (8,534 words) - 13:26, 14 May 2025