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词汇 invariant-theory
释义 BETA

invariant theory

collocation in English

meanings of invariantand theory


These words are often used together. Click on the links below to explore the meanings.
invariant
adjective
uk /ɪnˈveə.ri.ənt/ us /ɪnˈver.i.ənt/
not ...
See more at invariant
theory
noun[ C or U ]
uk /ˈθɪə.ri/ us /ˈθɪr.i/
a formal statement of the rules on which a subject of study is based or of ideas that are suggested to explain a fact or event or, more generally, an opinion ...
See more at theory


Examples of invariant theory


invariant theory
The study of branching rules is important in classical invarianttheory and its modern counterpart, algebraic combinatorics.
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To remedy this, classical invarianttheory also considered "relative invariants", which were forms invariant up to a scale factor.
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For geometric terms used in invarianttheory see the glossary of classical algebraic geometry.
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He was known as the king of invarianttheory.
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But invarianttheory works in this context only over an algebraically closed field.
His main research interest is the invarianttheory of finite groups.
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Although the technique is deceptively simple, it has applications in many areas of abstract mathematics: in particular to algebraic geometry, invarianttheory, and representation theory.
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Invarianttheory of infinite groups is inextricably linked with the development of linear algebra, especially, the theories of quadratic forms and determinants.
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Another way, connected with invarianttheory is via the polarization identity for a symmetric tensor.
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In invarianttheory, the symmetric group acts on the variables of a multi-variate function, and the functions left invariant are the so-called symmetric functions.
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He made fundamental contributions to matrix theory, invarianttheory, number theory, partition theory and combinatorics.
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A time-reversal invarianttheory is more logical and elegant.
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In other words, a scale invarianttheory is one without any fixed length scale (or equivalently, mass scale) in the theory.
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One of the main goals of invarianttheory was to solve the finite basis problem.
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He also worked on invarianttheory and projective differential geometry.
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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