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stable and homotopy
There are others, coming from stable homotopy theory.
* A topological defect, a generalization of the idea of a soliton to any system which is stable against decay due to homotopy theory
In the language of stable homotopy theory, the Chern class, Stiefel-Whitney class, and Pontryagin class are stable, while the Euler class is unstable.
( The clutching function for arises from the stable homotopy group.
* D. C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Acad.
* The stable homotopy groups
Their study is tightly linked ( via the Brown representability theorem ) to stable homotopy.
In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by, which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres.
The J-homomorphism is a homomorphism from the homotopy groups of orthogonal groups to stable homotopy groups of spheres, which causes the period 8 Bott periodicity to be visible in the stable homotopy groups of spheres.
The subject of stable homotopy theory was conceived as a simplification, by introducing the suspension ( smash product with a circle ) operation, and seeing what ( roughly speaking ) remained of homotopy theory once one was allowed to suspend both sides of an equation, as many times as one wished.
Bott's ( now somewhat awkward ) use of the word stable in the title of his seminal paper refers to these stable classical groups and not to stable homotopy groups.
The important connection of Bott periodicity with the stable homotopy groups of spheres comes via the so called stable J-homomorphism from the ( unstable ) homotopy groups of the ( stable ) classical groups to these stable homotopy groups.

stable and theory
In game theory, behavioural ecology, and evolutionary psychology, an evolutionarily stable strategy ( ESS ) is a strategy which, if adopted by a population of players in a given environment, cannot be invaded by any alternative strategy that is initially rare.
Maynard Smith was jointly awarded the 1999 Crafoord Prize for his development of the concept of evolutionarily stable strategies and the application of game theory to the evolution of behaviour.
One theory states that stable wormholes are possible, but that any attempt to use a network of wormholes to violate causality would result in their decay.
In 1973 Maynard Smith formalised a central concept in evolutionary game theory called the evolutionarily stable strategy ( ESS ), based on a verbal argument by George R. Price.
* Kant being " very rarely stable " harkens to his theory of a stable universe.
A very different approach to the stability-decoherence problem is to create a topological quantum computer with anyons, quasi-particles used as threads and relying on braid theory to form stable logic gates.
Although models used in rational choice theory are diverse, all assume individuals choose the best action according to unchanging and stable preference functions and constraints facing them.
In political theory it is generally believed that a stable nation, ruled by a leadership that is subject to broad scrutiny ( though not necessarily democratic scrutiny ), will tend to act in its own best interests and will not take actions that are directly contrary to its own interests, particularly not to its own survival.
J. P. Jasinski confirmed this theory five years later stating “ Their woodlands persistence, along with their previous moss forest histories and current occurrence adjacent to closed moss forests, indicate that they are an alternative stable state to the spruce – moss forests ”.
This ring seems to allow a closed time loop with stable wormholes when analyzed using semiclassical gravity, although without a full theory of quantum gravity it is uncertain whether the semiclassical approach is reliable in this case.
According to Lon Fuller ’ s account of thin theory, rule of law exists in a society when the laws of that society are “ general, public, prospective, clear, consistent, capable of being followed, stable, and enforced ” ( Peerenboom, 3 ).
MHD theory is the simplest representation of a plasma, so MHD stability is a necessity for stable devices to be used for nuclear fusion, specifically magnetic fusion energy.
* Core ( game theory ), the collection of stable allocations that no coalition can improve upon
Only 90 nuclides from the first 40 elements are energetically stable to any kind of decay save proton decay, in theory ( see list of nuclides ).
All " stable " isotopes ( stable by observation, not theory ) are the ground states of nuclei, with the exception of tantalum-180m, which is a nuclear isomer or excited state ( the ground state of this nucleus is radioactive with a very short half-life of 8 hours ); but the decay of the excited nuclear isomer is extremely strongly forbidden by spin-parity selection rules.
The broken windows theory would suggest that these tenants would commit less crime once moved, due to the more stable conditions on the streets.
On the subject Bishop writes: The greatest obstacle to our comprehension of Finnegans Wake been ... the failure on the part of readers to believe that Joyce really meant what he said when he spoke of the book as a " reconstruction of the nocturnal life " and an " imitation of the dream-state "; and as a consequence readers have perhaps too easily exercised on the text an unyielding literalism bent on finding a kind of meaning in every way antithetical to the kind of meaning purveyed in dreams Bishop has also somewhat brought back into fashion the theory that the Wake is about a single sleeper ; arguing that it is not " the ' universal dream ' of some disembodied global everyman, but a reconstruction of the night – and a single night – as experienced by ' one stable somebody ' whose ' earwitness ' on the real world is coherently chronological.
Hegemony is the preponderance of power at one pole in the international system, and the theory argues this is a stable configuration because of mutual gains by both the dominant power and others in the international system.
The need to aggregate preferences occurs in many different disciplines: in welfare economics, where one attempts to find an economic outcome which would be acceptable and stable ; in decision theory, where a person has to make a rational choice based on several criteria ; and most naturally in voting systems, which are mechanisms for extracting a decision from a multitude of voters ' preferences.
In topological field theory, he introduced the moduli space of stable maps, which may be considered a mathematically rigorous formulation of the Feynman integral for topological string theory.
This theory is further demonstrated by the external appearance of the adjoining stable block.
The NAIRU theory says that when unemployment is at the rate defined by this line, inflation will be stable.

stable and branch
The older stable 1. x branch, whose latest version as of January 2012 is 1. 4. 12, will be continued in parallel with the new GnuPG 2 series because there were significant changes in the architecture of the program which will not fit every purpose.
Equally convincing evidence is of large overabundances of specific stable elements in stellar atmospheres of asymptotic giant branch stars.
More recently, Squeeze has been started as an archive manager designed to integrate better into the Xfce desktop, though no further updates have been released since 24 February 2008, the development git branch for both squeeze and xarchiver are more up to date and feature rich than the last stable release.
presumably following the stable release of the Ion3 branch.
With the acquisition of Mälarebanken, for example, Handelsbanken was able to generally maintain the number of branch offices at a stable level of slightly over 260.
There are other schools that are not affiliated with LPU but have the word " Lyceum " in their names ; however, LPU is the original bearer of the name and is more closely associated with it. LPU is one of the most stable University in the Philippines with branch campuses in Batangas, Laguna, and Cavite.
GRASS development is split into a stable branch ( 6. 4 ), a development branch ( 6. 5 ), and an experimental branch ( 7. 0 ).
The stable branch is recommended for most users, while the 6. 5 / 7. 0 branch operates as a testbed for new features.
In its delta, the Danube is divided into three main branches, none of which is suited to optimal navigation: Chilia branch is the deepest, but its mouths were not stable, which made navigation dangerous ; Sulina branch is not deep enough for maritime ships to navigate on it and it also used to be isolated from the railroad system ; Sfântu Gheorghe branch is shallow and sinuous.
The current stable branch is 2. 0. X, released in 2011, after three years of development.
* OpenJDK 6 is a stable branch, whereas OpenJDK 7 is unstable and not expected to ship a stable release until 2009.
Linux-VServer provides two branches, stable ( 2. 2. x ), and devel ( 2. 3. x ) for 2. 6-series kernels and a single stable branch for 2. 4-series.
A separate stable branch integrating the grsecurity patch set is also available.
The Oracle quickly developed a stable core group of staffers which included, among many others, Michael Bowen, Stephen Levine, Travis Rivers ( a Texan friend of Janis Joplin, he was at that time the manager of the Haight Street branch of the Print Mint ), George Tsongas, who had returned to the paper, staff artists Dangerfield Ashton, Ami McGill, and Hetti McGee, poet Harry Monroe, Gene Grimm, and Steve Lieper.
Prichard then moved on to the United States Wrestling Association, first working out of the Texas branch, where he formed a heel stable that included Eric Embry and Steve Austin, managed by Tojo Yamamoto.
For example, a project may have a " stable " branch from which new versions of the software are released, and a separate " development " branch in which the developers add new code.

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