Nghĩa của từ algebraic number bằng Tiếng Sec

algebraické číslo

Đặt câu có từ "algebraic number"

1. See also algebraic number field.

2. The answer is always an algebraic number.

3. Also, any constructible number is an algebraic number.

4. Kresa was the first to introduce algebraic number to trigonometry.

5. A separate inspiration for F1 came from algebraic number theory.

6. Using tools of algebraic number theory, Andrew Wiles proved Fermat's Last Theorem.

7. This is one of the main results of classical algebraic number theory.

8. Class field theory is a branch of algebraic number theory which seeks to classify all the abelian extensions of a given algebraic number field, meaning Galois extensions with abelian Galois group.

9. He took up Waring's problem in algebraic number fields and got interesting results.

10. Algebraic number theory studies various number rings that generalize the set of integers.

11. The Stufe of an algebraic number field is ∞, 1, 2 or 4 ("Siegel's theorem).

12. We discuss here some basic problems of algebraic number theory under a computational point of view.

13. Williams developed algorithms for calculating invariants of algebraic number fields such as class numbers and regulators.

14. At the University of Uppsala, Harald Bergström did research mainly on algebraic number fields and related topics.

15. Commutative algebra is essentially the study of the rings occurring in algebraic number theory and algebraic geometry

16. The rough subdivision of number theory into its modern subfields—in particular, analytic and algebraic number theory.

17. In this way, Gauss arguably made a first foray towards both Évariste Galois's work and algebraic number theory.

18. Another example, playing a key role in algebraic number theory, is the field Qp of p-adic numbers.

19. In this section, we want to show that the class number of an algebraic number field is finite.

20. So given a particular complex number α one can ask how close α is to being an algebraic number.

21. Today, one of the most important branches of pure mathematics is algebraic number theory, which studies rational numbers (fractions).

22. The method encompasses a new one-way function with trapdoor based on Artin reciprocity in an algebraic number field.

23. The Disquisitiones covers both elementary number theory and parts of the area of mathematics now called algebraic number theory.

24. All those totally real algebraic number fieldsK of degreen=4 will be studied which have a quadratic subfield Ω.

25. Aside from his work in algebraic number theory he wrote a great number of Japanese textbooks on mathematics and geometry.

26. Marc Krasner (1912 – 13 May 1985, in Paris) was a Russian-born French mathematician, who worked on algebraic number theory.

27. Working with Hasse, he dealt with algebraic number theory and produced a script of Hassen's lecture on class-field theory.

28. In algebraic number theory, the rings of algebraic integers are Dedekind rings, which constitute therefore an important class of Commutative rings.

29. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals.

30. Kronecker wrote his 1845 dissertation, at the University of Berlin, on number theory , giving special formulation to units in certain algebraic number fields .

31. Susan Howson (born in 1973) is a former British mathematician whose research was in the fields of algebraic number theory and arithmetic geometry.

32. It also involves finding algebraic number fields which admit a Galois extension with Galois group isomorphic to a free pro-p on n generators.

33. However, an algebraic function of several variables may yield an algebraic number when applied to transcendental numbers if these numbers are not algebraically independent.

34. In 1960, the equation was among the questions on the William Lowell Putnam Competition which prompted Alvin Hausner to extend results to algebraic number fields.

35. Hilbert unified the field of algebraic number theory with his 1897 treatise Zahlbericht (literally "report on numbers"). He disposed of Waring's problem in the wide sense.

36. In mathematics, Stickelberger's theorem is a result of algebraic number theory, which gives some information about the Galois module structure of class groups of cyclotomic fields.

37. Its three main strengths are its speed, the possibility of directly using data types that are familiar to mathematicians, and its extensive algebraic number theory module.

38. Based on his research of the structure of the unit group of quadratic fields, he proved the Dirichlet unit theorem, a fundamental result in algebraic number theory.

39. One of the major achievements in algebraic number theory and algebraic geometry of the twentieth century was to find the correct formulations of the corresponding theory for abelian varieties of dimension d > 1.

40. ‘His work on Computational algebraic number theory seems to have started when he visited Caltec in 1959 and collaborated with Taussky-Todd.’ ‘He worked on Computational mathematics, developing general methods for solving the equations of mathematical physics by numerical means.’ ‘Repetition is a life line of Computational mathematics.’

41. ‘Fermat preferred the Algebraic techniques that he used to such devastating effect in number theory.’ ‘His work in Algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.’ ‘This gave powerful results such as a purely Algebraic proof of the Riemann Roch theorem.’

42. ‘His work on Computational algebraic number theory seems to have started when he visited Caltec in 1959 and collaborated with Taussky-Todd.’ ‘He worked on Computational mathematics, developing general methods for solving the equations of mathematical physics by numerical means.’ ‘Repetition is a life line of Computational mathematics.’

43. In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of algebraic number theory.