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Topological relationships between geometric entities traditionally include adjacency ( what adjoins what ), containment ( what encloses what ), and proximity ( how close something is to something else ).
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Topological and between
A diagram illustrating the difference between metric distance and Topological space | topological distance in reference to fish school s
Topological and geometric
Efremovič was a member of the Moscow Topological School, and specialized in the geometric aspects of general topology.
Topological and what
In what follows we will make use of the formalism defined in Topological game.
Topological and ),
Topological rings occur in mathematical analysis, for examples as rings of continuous real-valued functions on some topological space ( where the topology is given by pointwise convergence ), or as rings of continuous linear operators on some normed vector space ; all Banach algebras are topological rings.
Topological spaces with differing homotopy groups are never equivalent ( homeomorphic ), but the converse is not true.
* Kurt Lewin ( 1936 ), Principles of Topological Psychology, McGraw-Hill.
Topological and proximity
He introduced the notion of proximity spaces at the First International Topological Conference in Moscow in 1934.
Topological and how
* Topological design: This stage involves determining where to place the components and how to connect them.
Topological and is
* Topological defects are regions in a crystal where the normal chemical bonding environment is topologically different from the surroundings.
Topological in nature, the distances are completely unimportant ; only the connectivity is significant.
Topological sorting is the algorithmic problem of finding topological orderings ; it can be solved in linear time.
# „ Topological ecology at the landscape scale “ ( e. g. Forman & Godron ): ’ Landscape ’ is defined as a heterogeneous land area composed of a cluster of interacting ecosystems ( woods, meadows, marshes, villages, etc.
Topological defects are not only stable against small perturbations, but cannot decay or be undone or be de-tangled, precisely because there is no continuous transformation that will map them ( homotopically ) to a uniform or " trivial " solution.
Topological groups for which the Bohr compactification mapping is injective are called maximally almost periodic ( or MAP groups ).
: Topological dynamics is a branch of the theory of dynamical systems in which qualitative, asymptotic properties of dynamical systems are studied from the viewpoint of general topology.
Also, is the group corresponding to vector bundles on the suspension of X. Topological K-theory is a generalized cohomology theory, so it gives a spectrum.
Topological graph theory is a branch of graph theory.
Topological and ).
Topological categories have many nice properties in common with Top ( such as fiber-completeness, discrete and indiscrete functors, and unique lifting of limits ).
* Vikki, while traveling in the Topological Dimension, also meets a one-sided cow named Moobius ( derived from the Möbius strip ) who sells her milk in Klein bottles ( the strip and the bottle both being one-sided topological figures ).
Topological manifolds of dimensions 2 and 3 are always triangulable by an essentially unique triangulation ( up to piecewise-linear equivalence ); this was proved for surfaces by Tibor Radó in the 1920s and for three-manifolds by Edwin E. Moise and R. H. Bing in the 1950s, with later simplifications by Peter Shalen (, ).
We also workshopped a new play by award-winning artist d ' bi young, and supported presentations of Ed Roy ’ s The Golden Thug ( Topological Theatre ) and Sky Gilbert ’ s Bad Acting Teachers and the workshop of Diane Flacks ’ new one-woman show Bear With Me ( Nightwood Theatre ).
* Blau, Matthias " The Mathai-Quillen Formalism and Topological Field Theory ", Infinite-dimensional geometry in physics ( Karpacz, 1992 ).
relationships and between
It is most important that we recognize the law of love as being unbreakable in all personal relationships, whether individually, socially or as between whole nations of people.
Adams contended that once such a special class had been created it became a vested interest and sought to maintain itself by assuming exclusive control over the relationships between God and man.
Thus, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.
The meeting will, however, afford a timely and convenient opportunity for the first personal contact between them and a general exchange of views on the major issues which affect the relationships between the two countries ''.
These dynamic relationships, between what can be observed on the ground, as opposed to what can be observed by compiling many local observations remain fundamental in any kind of anthropology, whether cultural, biological, linguistic or archaeological.
The origins and evolutionary relationships between the three main groups of amphibians is a matter of debate.
Anura is divided into three suborders which are broadly accepted by the scientific community but the relationships between some families remains unclear.
Known relationships between the raw moments () and the central moments ()
* Regression analysis – techniques for analyzing the relationships between several variables in the data
A number of these organizations are striving to foster positive relationships between the Arab and Jewish populations: The Harduf Waldorf school includes both Jewish and Arab faculty and students, and has extensive contact with the surrounding Arab communities.
Technology is often a factor but so are military-social issues, the relationships between artillery and other arms, and the criteria by which military capability, efficiency and effectiveness are judged.
Sir George Cayley is credited as the first person to identify the four aerodynamic forces of flight — weight, lift, drag, and thrust — and the relationships between them.
Graph 1 details some explicit relationships between the objects of the diagram.
Over time, he gradually took over responsibility for the relationships between the small Bahá ' i exile community and the outside world.
These poles and zone-lines, whilst inducing fluctuations in data density in the reconstructed datasets, which can prove problematic during post-analysis, are critical for determining information such as angular magnification, as the crystallographic relationships between features are typically well known.
Ethnobotany is the study of the relationships between plants and people.
Particularly in the 1970s and 1980s, there was a significant push to understand the relationships between these climatic parameters and properties of ecosystem energetics because such discoveries would enable the prediction of rates of energy capture and transfer among components within ecosystems.
In the words of Geoffrey Crowther, then editor of The Economist, " If the economic relationships between nations are not, by one means or another, brought fairly close to balance, then there is no set of financial arrangements that can rescue the world from the impoverishing results of chaos.
Links in this article to specific axioms of set theory describe some of the relationships between the informal discussion here and the formal axiomatization of set theory, but no attempt is made to justify every statement on such a basis.
In game design, balance is the concept and the practice of tuning relationships between a game's component systems.
# Semantic ( study of relationships between signs and symbols and what they represent ).
Crony capitalism is a term describing an economy in which success in business depends on close relationships between business people and government officials.
A teacher's desire to have a talented student, the obligations between a student and a master, and tensions in these relationships are central to the characters ' motives, conflicts between the characters, and the unfolding of the film's plot.
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