Chiefly Chemistry. Usually without construction. That can be converted, decomposed, or refined into components or a simpler substance; (also) that…
| 单词 | θ114911 |
| 释义 | the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > in abstract algebra > of groups (17) reducible1585 Chiefly Chemistry. Usually without construction. That can be converted, decomposed, or refined into components or a simpler substance; (also) that… transitive1861 Mathematics. In group theory: (originally) designating a group of permutations or transformations of a set which is such that, for each pair x and y… primitive1888 Mathematics. Of a group of transformations of a space or a permutation group: such that the space or set of letters on which the group acts cannot… simple1888 Mathematics. Designating an algebraic structure that is simpler than others of the same type by virtue… Of a group: having no normal (normal, adj.… special1888 Mathematics. Designating a group (group, n. 7) of matrices each of which has a determinant equal to 1. cyclic1889 Algebra. Of a group: having the property that each element of the group may be expressed as a power of a particular element, sometimes called the… intransitive1889 Mathematics. Of a group: not transitive (see transitive, adj. 8a and quot. 1889). solvable1892 Mathematics. Of a group: that may be regarded as the last of a finite series of groups of which the first is trivial, each being a normal subgroup… finite1893 Mathematics. Of a line: Terminated. Of a quantity, number, distance: Limited, neither infinite nor infinitesimal. Of a group: Containing a limited… perfect1898 Mathematics. Of a group: such that the subgroup generated by the set of commutators of the group is the group itself. Abelian1900 Designating concepts associated with Abel or arising from his work; of the nature of or relating to such a concept. soluble1902 Mathematics. = solvable, adj. 3b. proper1906 Mathematics. Designating a subset, subgroup, etc., that does not constitute the entire set, group, etc.; spec. designating such a subgroup, subring… trivial1915 Mathematics. Of no consequence or interest, e.g. because equal to zero; satisfying a given relation on a set with every member of the set; spec.… equivalent1948 Mathematics. Belonging to the same equivalence class. hypercyclic1968 Algebra. Of a group: containing a nested series of normal subgroups of which the smallest is trivial, such that the quotient groups of consecutive… sporadic1968 Mathematics. Being a finite simple group that does not fall into any of the infinite classes into which most finite simple groups fall. Also absol.… |
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