Diophantine approximation

노트

위키데이터

• ID : Q1227061

말뭉치

1. Techniques from Diophantine approximation have been vastly generalized, and today they have many applications to Diophantine equations, Diophantine inequalities, and Diophantine geometry.
2. This paper is motivated by recent applications of Diophantine approximation in electronics, in particular, in the rapidly developing area of Interference Alignment.
3. Given a real number α, there are two ways to define a best Diophantine approximation of α.
4. There are still simply-stated unsolved problems remaining in Diophantine approximation, for example the Littlewood conjecture and the Lonely runner conjecture.
5. The work of D. Kleinbock, G. Margulis and their collaborators demonstrated the power of this novel approach to classical problems in Diophantine approximation.
6. Gives a broad but very concise introduction to Diophantine approximation.
7. Equidistribution of expanding translates of curves and Dirichlet’s theorem on diophantine approximation.
8. Equidistribution of expanding translates of curves and Diophantine approximation on matrices.
9. The basic question in Diophantine approximation is how well a real number can be approximated by rationals with a given bound on denominators.
10. In this course we discuss how the methods from the theory of dynamical systems are utilised to prove some of the deep results in Diophantine approximation.
11. We also prove complementary results showing that certain natural simultaneous Diophantine approximation problems are NP-hard.
12. It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections.
13. Each chapter is divided into part A and part B. Part A deals with Nevanlinna theory and part B covers Diophantine approximation.
14. Students who want to extend their EC points for Diophantine approximation from 6 to 8 should do first the homework assignments and exam or resit for 6EC.
15. The many interactions between Diophantine Approximation and other disciplines in science can be explained by the universal need to approximate complex structures by more regular ones.
16. This leads to the domain of Diophantine Approximation on manifolds, where for most questions no general theory is available.
17. The diophantine approximation deals with the approximation of real numbers (or real vectors) with rational numbers (or rational vectors).
18. Diophantine approximation is about how well real numbers can be approximated by rationals.
19. The theory of diophantine approximation (see, for example, Cassels 1965) gives ways of describing how well the rationals approximate a given number.

메타데이터

위키데이터

• ID : Q1227061

Spacy 패턴 목록

• [{'LOWER': 'diophantine'}, {'LEMMA': 'approximation'}]