"Schubert calculus" meaning in All languages combined

See Schubert calculus on Wiktionary

Noun [English]

Etymology: Named after German mathematician Hermann Schubert (1848–1911), who introduced the theory in the nineteenth century. Head templates: {{en-noun|-}} Schubert calculus (uncountable)
  1. (mathematics) A branch of algebraic geometry concerned with solving certain types of counting problem in projective geometry; a symbolic calculus used to represent and solve such problems; Tags: uncountable Categories (topical): Mathematics
    Sense id: en-Schubert_calculus-en-noun-SvNhpfT3 Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 46 54 Disambiguation of Entries with translation boxes: 49 51 Disambiguation of Pages with 1 entry: 46 54 Disambiguation of Pages with entries: 45 55 Topics: mathematics, sciences
  2. (mathematics) A branch of algebraic geometry concerned with solving certain types of counting problem in projective geometry; a symbolic calculus used to represent and solve such problems; Tags: uncountable Categories (topical): Mathematics
    Sense id: en-Schubert_calculus-en-noun-g83Lgsnc Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 46 54 Disambiguation of Entries with translation boxes: 49 51 Disambiguation of Pages with 1 entry: 46 54 Disambiguation of Pages with entries: 45 55 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Synonyms: Schubert enumerative calculus Related terms: Schubert cell, Schubert variety
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          "ref": "1986, Christopher I. Byrnes, Anders Lindquist, Frequency Domain and State Space methods for Linear Systems, North-Holland, page 77:",
          "text": "Hall appears to have been first with this observation, too, for in a lecture he gave at a 1959 Canadian Mathematical Congress conference in Banff on the algebra of symmetric polynomials he noted that the Schubert calculus has combinatorics similar to that of the symmetric polynomials [9].",
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          "text": "2014, Thomas Lam, Luc Lapointe, Jennifer Morse, Anne Schilling, Mark Shimozono, Mike Zabrocki, k-Schur Functions and Affine Schubert Calculus, Springer, Fields Institute for Research in the Mathematical Sciences, page 2,\nThe rich combinatorial backbone of the theory of Schur functions, including the Robinson–Schensted algorithm, jeu-de-taquin, the plactic monoid (see for example [139]), crystal bases [127], and puzzles [74], now underlies Schubert calculus and in particular produces a direct formula for the Littlewood-Richardson coefficients."
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        "A branch of algebraic geometry concerned with solving certain types of counting problem in projective geometry; a symbolic calculus used to represent and solve such problems;\n(by generalisation) the enumerative geometry of linear subspaces; the study of analogous questions in generalised cohomology theories.",
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Download raw JSONL data for Schubert calculus meaning in All languages combined (3.8kB)

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-13 from the enwiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). 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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