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词汇 example_english_irreducible-representation
释义

irreducible representation

collocation in English

meanings of irreducibleand representation


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irreducible
adjective
uk /ˌɪr.ɪˈdʒuː.sə.bəl/ us /ˌɪr.əˈduː.sə.bəl/
impossible to make smaller ...
See more at irreducible
representation
noun
uk /ˌrep.rɪ.zenˈteɪ.ʃən/ us /ˌrep.rɪ.zenˈteɪ.ʃən/
a person or organization that speaks, acts, or is present officially for ...
See more at representation


Examples of irreducible representation


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The final symmetry-labeled atomic orbital is now known as an irreduciblerepresentation.
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Any non-zero vector of an irreduciblerepresentation is cyclic.
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The corresponding linear representation over the complex numbers is the sum of the trivial representation and a 23-dimensional irreduciblerepresentation.
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We know that any irreduciblerepresentation can be turned into a unitary representation.
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The permutation representation on 11 points gives a complex irreduciblerepresentation in 10 dimensions.
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This action is irreducible and is the unique such irreduciblerepresentation of these relations.
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If the molecule possesses symmetries, it will belong to a point group, and the normal modes will transform as an irreduciblerepresentation under that group.
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The normal modes can then be qualitatively determined by applying group theory and projecting the irreduciblerepresentation onto the cartesian coordinates.
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It is therefore wrong to equate post-modernism with humanistic sociology, which above all seeks an irreduciblerepresentation of the human world.
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The table itself consists of characters that represent how a particular irreduciblerepresentation transforms when a particular symmetry operation is applied.
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Rather, one requires a core whose symmetry group admits a two-dimensional irreduciblerepresentation.
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Every irreduciblerepresentation of su (2) is isomorphic to one of the highest weight representations.
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There exist non-isomorphic irreduciblerepresentation of dimensions 1903725824, 16349520330, etc.
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The alternating groups for have only one one-dimensional irreduciblerepresentation, the trivial representation.
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Rules for decomposing the restriction of an irreduciblerepresentation into irreducible representations of the subgroup are called branching rules, and have important applications in physics.
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Solutions that do not belong to the irreduciblerepresentation will have two or more "independent" components.
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Restricted to the second irreduciblerepresentation, it gives an intertwiner from the second irreduciblerepresentation to the first.
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However, an irreduciblerepresentation of may not be irreducible for.
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We implicitly assume that irreduciblerepresentation means "non-null" irreduciblerepresentation, thus excluding trivial (i.e. identically 0) representations on one-dimensional spaces.
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The representation obtained from an irreduciblerepresentation defined over the integers by reducing modulo the characteristic will not in general be irreducible.
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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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Go to the definition of irreducible
Go to the definition of representation
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