toric

形容词 adj.
中文释义
英 /ˈtɒɹɪk/|/ˈtɔːɹɪk/    美 /ˈtɔɹɪk/

英文释义

形容词 adj.
  1. Pertaining to or shaped like a torus, or a section of a torus; toroidal.; Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study.
    — The study of toric varieties is a wonderful part of algebraic geometry. There are elegant theorems and deep connections with polytopes, polyhedra, combinatorics, commutative algebra, symplectic geometry, and topology. Toric varieties also have unexpected applications in areas as diverse as physics, coding theory, algebraic statistics, and geometric modeling. Moreover, as noted by Fulton [105], "toric varieties have provided a remarkably fertile testing ground for general theories.
  2. Pertaining to or shaped like a torus, or a section of a torus; toroidal.; Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study.; Containing an algebraic torus as a dense subset, such that the group action of the torus on itself extends to the whole space; or, the embedding map taking the torus into the space. See Toric variety on Wikipedia.Wikipedia
  3. Pertaining to or shaped like a torus, or a section of a torus; toroidal.; Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study.; (Narrowly) A compact smooth toric variety. (Broadly) Quasitoric: a closed, real, even-dimensional smooth manifold equipped with an effective, smooth action by an algebraic torus whose orbits are simple complex polytopes and such that the action is locally the same as a faithful real representation of the group.
  4. Pertaining to or shaped like a torus, or a section of a torus; toroidal.; Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study.; Any of several generalizations of the notion of toric varieties to stacks: the stack quotient of a toric variety by its torus; the stack quotient of a toric variety by a subgroup of its torus.
  5. Pertaining to or shaped like a torus, or a section of a torus; toroidal.; Which, in any of several technical senses, admits a high degree of symmetry, allowing combinatorial methods to be used in its study.; Generated by differences of monomials.
  6. Pertaining to or shaped like a torus, or a section of a torus; toroidal.; A particular topological quantum error correcting code; see Toric code on Wikipedia.Wikipedia

词形变化

more toric comparative most toric superlative

词汇关系

衍生词
ambitoric hypertoric toricity

词源

Etymology tree
English torus
Proto-Indo-European *-ikos
Proto-Italic *-ikos
Latin -icuslbor.
Old French -iquebor.
Middle English -ik
English -ic
English toric
From torus + -ic.
0 次浏览 数据来源: Wiktionary