See symmetry group in All languages combined, or Wiktionary
Download JSON data for symmetry group meaning in English (3.6kB)
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"ref": "1993, Peter J. Olver, Applications of Lie Groups to Differential Equations, published 2000, page 76",
"text": "[The] situation is more delicate in the case of higher dimensional symmetry groups; it is not in general possible to reduce the order of an equation invariant under an r-parameter symmetry group by r using only quadratures.",
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"ref": "2000, C. E. Horne, Geometric Symmetry in Patterns and Tilings, page 79",
"text": "It is often assumed that the design unit inside each fundamental region (particularly for monotranslational symmetry groups p111 and p1a1 and ditranslational symmetry groups p1 and pg) is asymmetric.",
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"ref": "2010, Stanislav Jendrol, František Kardoš, “28: Symmetry of Fulleroids”, in Klaus D. Sattler, editor, Handbook of Nanophysics: Clusters and Fullerenes, pages 28–1",
"text": "The structure of the symmetry group of a molecule affects several spectroscopic aspects and vice versa. Thus, it is clearly important to know the possible symmetries of fullerenes and similar structures.\nIn this chapter, we study symmetry groups of fulleroids.",
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"A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition."
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"(geometry, algebra, group theory) A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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