例句與造句

1. In addition, he dealt with the geometry of numbers and Diophantine approximation.
2. There he developed a third area of interest within number theory, geometry of numbers.
3. This is applied in the theory of theta functions, and is a possible method in geometry of numbers.
4. In 1896, he presented his " geometry of numbers ", a geometrical method that solved problems in number theory.
5. The theorem was proved by Hermann Minkowski in 1889 and became the foundation of the branch of number theory called the geometry of numbers.
6. It's difficult to find geometry of number in a sentence. 用geometry of number造句挺難的
7. He created and developed the geometry of numbers and used geometrical methods to solve problems in number theory, mathematical physics, and the theory of relativity.
8. Mahler's compactness theorem in the geometry of numbers characterises relatively compact subsets in certain non-compact homogeneous spaces ( specifically spaces of lattices ).
9. He and wrote the standard text, " Geometry of Numbers ", first published in 1969 . Later, he worked on topics in functional analysis.
10. He did, however, remain active in mathematics : for example, he brought out a second edition of " Geometry of Numbers " along with Peter Gr黚er.
11. The geometry of numbers has a close relationship with other fields of mathematics, especially functional analysis and Diophantine approximation, the problem of finding rational numbers that approximate an irrational quantity.
12. In addition, infinitely many sites are allowed in the definition ( this setting has applications in geometry of numbers and crystallography ), but again, in many cases only finitely many sites are considered.
13. The topic was related to Minkowski's Geometry of numbers and the early development of the study of arithmetic invariant of number fields such as the unit groups of number fields to a noncommutative setting.
14. He has worked on algorithms for integer programming and the geometry of numbers, random walks in " n "-space, randomized algorithms for linear algebra and learning algorithms for convex sets.
15. Although the dissertation was first submitted in 1911, it was rejected several times and Remak did not obtain his Habilitation until 1929 . In the meantime, he wrote several papers on the geometry of numbers.
16. For example, in the geometry of numbers a class of results called " isolation theorems " was recognised, with the topological interpretation of an " open orbit " ( of a group action ) around a given solution.
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