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...
6 KB (483 words) - 14:47, 3 June 2025
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
Euclidean spacePages displaying short descriptions of redirect targets Takens's theorem – Conditions under which a chaotic system can be reconstructed by observation...
13 KB (2,025 words) - 17:45, 24 July 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
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
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) - 00:57, 25 July 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 (12,165 words) - 14:58, 20 July 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...
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
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) - 09:51, 18 July 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) - 02:51, 17 July 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...
51 KB (6,838 words) - 02:04, 23 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) - 22:34, 16 July 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 (8,516 words) - 02:13, 21 July 2025
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
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
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 (6,745 words) - 08:31, 25 July 2025
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 (4,862 words) - 22:38, 19 July 2025
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
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) - 03:27, 18 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 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
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
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
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
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
In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map...
49 KB (6,333 words) - 16:01, 23 July 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
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) - 04:27, 25 July 2025