例句與造句

1. In 1934, he proved the existence of infinitely many real quadratic number fields without a Euclidean algorithm.
2. There is a connection between the theory of integral binary quadratic forms and the arithmetic of discriminant of a quadratic number field.
3. D . Shanks observed the infrastructure in real quadratic number fields when he was looking at cycles of reduced binary quadratic forms.
4. Volume 3 covers algebraic number theory, including ideal theory, quadratic number fields, and applications to Fermat's last theorem.
5. An integer " D " is called a "'fundamental discriminant "'if it is the discriminant of a quadratic number field.
6. It's difficult to find quadratic number field in a sentence. 用quadratic number field造句挺難的
7. Since then, the concept has been generalized, and the connections with quadratic number fields, the modular group, and other areas of mathematics have been further elucidated.
8. A complete list of possible torsion groups is also available for elliptic curves over quadratic number fields, and there are substantial partial results for cubic and quartic number fields.
9. If A is any quaternion algebra over an imaginary quadratic number field F which is not isomorphic to a matrix algebra then the unit groups of orders in A are cocompact.
10. :" Our present knowledge of the theory of quadratic number fields puts us in a position to attack successfully the theory of quadratic forms with any number of variables and with any algebraic numerical coefficients.
11. *PM : values of Dedekind zeta functions of real quadratic number fields at negative integers, id = 8064 new !-- WP guess : values of Dedekind zeta functions of real quadratic number fields at negative integers-- Status:
12. *PM : values of Dedekind zeta functions of real quadratic number fields at negative integers, id = 8064 new !-- WP guess : values of Dedekind zeta functions of real quadratic number fields at negative integers-- Status:
13. Klein's quartic occurs in many branches of mathematics, in contexts including representation theory, homology theory, octonion multiplication, Fermat's last theorem, and the Stark-Heegner theorem on imaginary quadratic number fields of class number one; see for a survey of properties.
14. During the 1930s Linfoot's interests slowly made the transition from pure mathematics to the application of mathematics to the study of optics, but not before proving an important result in number theory with Hans Heilbronn, that there are at most ten imaginary quadratic number fields with class number 1.
15. It turns out that the group operation of \ mathbb { R } / R \ mathbb { Z } can be described using giant steps and baby steps, by representing elements of \ mathbb { R } / R \ mathbb { Z } by elements of X together with a relatively small real number; this has been first described by D . H黨nlein and S . Paulus and by M . J . Jacobson, Jr ., R . Scheidler and H . C . Williams in the case of infrastructures obtained from real quadratic number fields.