Examples of using Mathematical objects in English and their translations into Russian
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Helly dimension has also been applied to other mathematical objects.
Thirdly, they may use mathematical objects such as tessellations to decorate buildings.
The reason is that in software we are developing idealized mathematical objects.
Mathematical objects are often examined by associating groups to them and studying the properties of the corresponding groups.
The discovery of invariants is an important step in the process of classifying mathematical objects.
Obviously, the two notions are mathematical objects of a different nature, although there are some links between the two from an intuitive perspective.
This consistency proof should preferably use only"finitistic" reasoning about finite mathematical objects.
An invariant is a property, held by a class of mathematical objects, which remains unchanged when transformations of a certain type are applied to the objects. .
An L-function is a meromorphic function on the complex plane,associated to one out of several categories of mathematical objects.
The model incorporates basic kinds of mathematical objects and messages that mechanize interactions of mathematical objects in the framework of computational applications.
Almost all of these systems were not originally focused any large-scale mathematical objects or on multiprocessor clusters.
The artist Richard Wright argues that mathematical objects that can be constructed can be seen either"as processes to simulate phenomena" or as works of"computer art.
The simply laced Dynkin diagrams, those with no multiple edges(A, D,E) classify many further mathematical objects; see discussion at ADE classification.
He isone of the first to have grasped the idea that even if our physical space seemsto be of dimension 3, there is nothing to stop us imagining a space of dimension 4, oreven proving geometrical theorems about 4 dimensional mathematical objects.
From 1913 to 1916 Noether published several papers extending andapplying Hilbert's methods to mathematical objects such as fields of rational functions and the invariants of finite groups.
Haeckel and the modern version of environmental aesthetics shows the shift in thought from perceiving the beauty of nature as the embodiment of an objective idea to seeing it as complex, functional, abstract and conceptual,in a way similar to how we view abstract mathematical objects.
We also owe to Douady a mathematical animation titled The dynamics of the rabbit(he liked to give mathematical objects surprising names: rabbit, airplane, the cartoon creature shadok, etc.).
The corresponding mathematical objects classified by the diagrams are: The blank in the upper right, corresponding to directed graphs with underlying undirected graph any Coxeter diagram(of a finite group), can be defined formally, but is little-discussed, and does not appear to admit a simple interpretation in terms of mathematical objects of interest.
The classification theorem has applications in many branches of mathematics,as questions about the structure of finite groups(and their action on other mathematical objects) can sometimes be reduced to questions about finite simple groups.
Because it encompasses statements containing abstract ideal objects(i.e. mathematical objects), anti-realism may apply to a wide range of philosophic topics, from material objects to the theoretical entities of science, mathematical statement, mental states, events and processes, the past and the future.
Solving the extension problem amounts to classifying all extensions of H by K; or more practically,by expressing all such extensions in terms of mathematical objects that are easier to understand and compute.
The theory can be considered a form of Pythagoreanism or Platonism in that it proposes the existence of mathematical entities;a form of mathematical monism in that it denies that anything exists except mathematical objects; and a formal expression of ontic structural realism.
Jung typology, types, theory of groups,typology as mathematical object, socionics.
The properties of the Socion as a mathematical object are researched.
Key words: Jung typology, types, theory of groups,typology as mathematical object, socionics.
The spent researches display Jung typology as rather complex mathematical object, which essentially cannot be described by any hierarchical structure of properties, by any Cartesian space, neither to present by the means of any column.
The spent researches display Jung typology as rather complex mathematical object, which essentially cannot be described by any hierarchical structure of properties, by any Cartesian space, neither to present by the means of any column.
Intuitively, a deformation of a mathematical object is a family of the same kind of objects that depend on some parameters.
In abstract algebra, an automorphism is an isomorphism from a mathematical object to itself.
Category O(or category O{\displaystyle{\mathcal{O}}}) is a mathematical object in representation theory of semisimple Lie algebras.