triangle groups造句

例句与造句

1. A triangle group formed by reflecting a triangle on its sides . Coxeter decompositions are named after Harold Scott MacDonald Coxeter, an accomplished 20th century geometer.
2. In mathematics, a "'triangle group "'is a congruent triangles, a fundamental domain for the action, called a M鯾ius triangle.
3. The triangle group is the infinite symmetry group of a tiling of the hyperbolic plane by hyperbolic triangles whose angles add up to a number less than ?.
4. The Fuchsian group of a Hurwitz surface is a finite index torsionfree normal subgroup of the ( ordinary ) ( 2, 3, 7 ) triangle group.
5. More generally, any hyperbolic von Dyck group ( the index 2 subgroup of a triangle group, corresponding to orientation-preserving isometries ) is a Fuchsian group.
6. It's difficult to find triangle groups in a sentence. 用triangle groups造句挺难的
7. All 26 sporadic groups are quotients of triangle groups, of which 12 are Hurwitz groups ( quotients of the ( 2, 3, 7 ) group ).
8. Thus, Hurwitz surfaces \ Sigma _ g defined by a tower of principal congruence subgroups of the ( 2, 3, 7 ) hyperbolic triangle group satisfy the bound
9. The triangle group is the infinite symmetry group of a certain tessellation ( or tiling ) of the Euclidean plane by triangles whose angles add up to ? ( or 180?).
10. The triangle group is the finite symmetry group of a tiling of a unit sphere by spherical triangles, or M鯾ius triangles, whose angles add up to a number greater than ?.
11. The surface's Fuchsian group can be constructed as the principal congruence subgroup of the ( 2, 3, 7 ) triangle group in a suitable tower of principal congruence subgroups.
12. Spherical / point reflective / rotational symmetry groups, including Triangle group, named by orbifold notation as a sequence of mirror order indices around the fundamental domain, listing highest index first.
13. All Hurwitz groups are quotients of the ( 2, 3, 7 ) triangle group, and all Hurwitz surfaces are tiled by the ( 2, 3, 7 ) Schwarz triangle.
14. Its symmetry group is the quotient of the spherical triangle group by the reflection through the origin (-" I " ), which is a central element of order 2.
15. In 2015, Triangle Group announced its first venture into the U . S . market with the opening of their new North American headquarters in Franklin, Tennessee inside the Nashville Metropolitan Area.
16. Coxeter groups formed by cyclic diagrams are represented by parenthesese inside of brackets, like [ ( p, q, r ) ] = for the triangle group ( p q r ).
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