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
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...
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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...
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Euclidean spacePages displaying short descriptions of redirect targets Takens's theorem – Conditions under which a chaotic system can be reconstructed by observation...
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"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...
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systems) Ratner's theorems (ergodic theory) Sarkovskii's theorem (dynamical systems) Takens's theorem (dynamical systems) Euler's theorem on homogeneous...
78 KB (6,293 words) - 12:16, 2 May 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) - 00:29, 26 April 2025
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...
104 KB (11,766 words) - 07:16, 3 May 2025
The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...
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but rather chaotic noise, with a low-dimensional fractal attractor. Takens's theorem Correlation integral Recurrence quantification analysis Approximate...
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Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...
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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 (11,781 words) - 14:59, 12 May 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...
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generalized Kolmogorov complexity. Instead of proving similar theorems, such as the basic invariance theorem, for each particular measure, it is possible to easily...
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In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...
67 KB (9,171 words) - 16:52, 28 April 2025
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 (8,424 words) - 10:13, 18 March 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...
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In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions...
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In computability theory, Rice's theorem states that all non-trivial semantic properties of programs are undecidable. A semantic property is one about...
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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) - 16:58, 17 April 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...
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system variables as time series observations, Takens' embedding theorem can be applied. Takens' theorem generically proves that the state space of a dynamical...
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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...
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theorem, also known as the Kelvin–Stokes theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls, or simply the curl theorem,...
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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) - 13:55, 7 December 2024
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...
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Arrow's impossibility theorem is a key result in social choice theory showing that no ranking-based decision rule for a group can satisfy the requirements...
69 KB (6,519 words) - 04:40, 16 May 2025
Gauss's law (redirect from Gauss' flux theorem)
as Gauss's flux theorem or sometimes Gauss's theorem, is one of Maxwell's equations. It is an application of the divergence theorem, and it relates the...
27 KB (3,806 words) - 05:27, 12 May 2025
In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in...
16 KB (1,788 words) - 02:07, 29 March 2023
In Euclidean geometry, Carnot's theorem states that the sum of the signed distances from the circumcenter D to the sides of an arbitrary triangle ABC...
2 KB (193 words) - 22:59, 20 March 2025