field of model theory, a theory is called stable if it satisfies certain combinatorial restrictions on its complexity. Stable theories are rooted in the...
30 KB (3,633 words) - 20:03, 4 October 2023
In mathematics, stable homotopy theory is the part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain...
4 KB (669 words) - 23:26, 17 August 2023
Many construction in model theory are easier when restricted to stable theories; for instance, every model of a stable theory has a saturated elementary...
63 KB (9,065 words) - 10:26, 2 April 2025
Stability spectrum (category Model theory)
In model theory, a branch of mathematical logic, a complete first-order theory T is called stable in λ (an infinite cardinal number), if the Stone space...
6 KB (731 words) - 01:07, 2 January 2025
Lyapunov stability (redirect from Lyapunov stable)
stable the system remains stable under small disturbances. For larger input disturbances the study of such systems is the subject of control theory and...
24 KB (3,889 words) - 15:28, 3 June 2025
E. Roth "for the theory of stable allocations and the practice of market design." An important and large-scale application of stable marriage is in assigning...
21 KB (2,544 words) - 05:46, 26 April 2025
his development of the concept of evolutionarily stable strategies and the application of game theory to the evolution of behaviour. Uses of ESS: The ESS...
25 KB (2,935 words) - 15:30, 28 April 2025
In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli...
17 KB (2,272 words) - 14:08, 25 March 2025
In economics, stable matching theory or simply matching theory, is the study of matching markets. Matching markets are distinguished from Walrasian markets...
5 KB (495 words) - 09:11, 28 March 2025
Set theory — Shape theory — Small cancellation theory — Spectral theory — Stability theory — Stable theory — Sturm–Liouville theory — Surgery theory — Twistor...
38 KB (4,341 words) - 16:56, 25 May 2025
In model theory, a stable group is a group that is stable in the sense of stability theory. An important class of examples is provided by groups of finite...
7 KB (751 words) - 12:11, 20 November 2023
particular allows one to define the Witt group W(k) which describes the "stable" theory of quadratic forms over the field k. Let (V, b) be a finite-dimensional...
5 KB (564 words) - 02:32, 4 June 2023
Bott periodicity theorem (category Theorems in homotopy theory)
for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres. Bott periodicity...
13 KB (1,836 words) - 07:04, 8 April 2025
In mathematics, more specifically in topology, the equivariant stable homotopy theory is a subfield of equivariant topology that studies a spectrum with...
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functions Stable theory, concerned with the notion of stability in model theory Stability, a property of points in geometric invariant theory K-Stability...
4 KB (507 words) - 12:16, 23 March 2025
near a stable point are of interest, nonlinear systems can often be linearized by approximating them by a linear system using perturbation theory, and linear...
45 KB (6,774 words) - 01:00, 17 March 2025
Stable set may refer to: Independent set (graph theory) in graph theory, a set of vertices no two of which are adjacent Invariant set, said to be "stable"...
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Hurwitz-stable polynomial and with the second property a Schur-stable polynomial. Stable polynomials arise in control theory and in mathematical theory of...
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Forking extension (redirect from Forking (model theory))
independence to stable theories. These concepts were introduced by S. Shelah. Suppose that A and B are models of some complete ω-stable theory T. If p is a...
3 KB (410 words) - 21:11, 28 December 2024
In game theory, a stochastically stable equilibrium is a refinement of the evolutionarily stable state in evolutionary game theory, proposed by Dean Foster...
2 KB (200 words) - 17:19, 10 November 2024
U-rank (category Model theory)
model theory, a branch of mathematical logic, U-rank is one measure of the complexity of a (complete) type, in the context of stable theories. As usual...
4 KB (574 words) - 16:09, 21 November 2021
In ecology, the theory of alternative stable states (sometimes termed alternate stable states or alternative stable equilibria) predicts that ecosystems...
25 KB (3,327 words) - 12:56, 6 June 2024
Particle (redirect from Stable particle)
decay. Those that do not are called stable particles, such as the electron or a helium-4 nucleus. The lifetime of stable particles can be either infinite...
18 KB (1,643 words) - 15:49, 14 May 2025
theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in...
24 KB (2,885 words) - 22:06, 23 May 2025
distribution (IFD) is itself an evolutionarily stable state containing mixed strategies. Evolutionary game theory as a whole provides a theoretical framework...
10 KB (1,482 words) - 10:38, 20 June 2024
Nash equilibrium (redirect from Nash theorem (in game theory))
selection – Concept in game theory Evolutionarily stable strategy – Solution concept in game theory Glossary of game theory Hotelling's law – Observation...
60 KB (8,788 words) - 08:31, 31 May 2025
fields of combinatorial game theory and algorithms, the stable-roommate problem (SRP) is the problem of finding a stable matching for an even-sized set...
19 KB (2,222 words) - 08:32, 25 May 2025
(1992), "Von Neumann-Morgenstern Stable Sets", in Aumann, Robert J.; Hart, Sergiu (eds.), Handbook of Game Theory, Volume I, Amsterdam: Elsevier, pp...
41 KB (5,879 words) - 18:03, 11 May 2025
Lloyd S. Shapley were awarded the Nobel Prize in Economics "for the theory of stable allocations and the practice of market design". In 2014, the Nobel...
138 KB (15,387 words) - 10:44, 6 June 2025
Minimax (redirect from Maximin (decision theory))
a decision rule used in artificial intelligence, decision theory, combinatorial game theory, statistics, and philosophy for minimizing the possible loss...
27 KB (3,815 words) - 06:36, 2 June 2025