Zobrazeno 1 - 10
of 35
pro vyhledávání: '"T G, Berry"'
Autor:
T. G. Berry
Publikováno v:
Monatshefte für Mathematik. 145:269-283
Based on hints of Tschebychev, a continued fraction is described which gives an effective algorithm for calculating the torsion, if finite, of divisors D - D- on a hyperelliptic curve of genus =2, where D is an effective divisor of degree 2 and D- de
Autor:
T. G. Berry, Pedro Berrizbeitia
Publikováno v:
Mathematics of Computation. 73:1559-1565
Let {s k , k > 0} be the sequence defined from a given initial value, the seed, so, by the recurrence s k+1 = s 2 k - 2,k > 0. Then, for a suitable seed so, the number M h,n = h.2 n - 1 (where h < 2 n is odd) is prime iff s n-2 ≡ 0 mod M h,n . In g
Publikováno v:
Acta Arithmetica. 110:107-115
Autor:
T. G. Berry, Richard R. Patterson
Publikováno v:
Computer Aided Geometric Design. 18:723-738
In this paper we unify the two subjects of implicitization and parametrization of nonsingular cubic surfaces. Beginning with a cubic parametrization with six basepoints, we first form a three by four Hilbert–Burch matrix, and then a three by three
Autor:
T. G. Berry
Publikováno v:
Journal of Symbolic Computation. 26:315-327
An algorithm for constructing a basis of a linear system L(D) on a hyperelliptic curve is described. Algorithms by Cantor and Chebychev for computing in the Jacobian of a hyperelliptic curve are derived as special cases. The final section describes C
Autor:
T. G. Berry
Publikováno v:
Acta Arithmetica. 62:391-398
Autor:
Pedro Berrizbeitia, T. G. Berry
Publikováno v:
Proceedings of the American Mathematical Society. 127:1923-1925
Cubic reciprocity is used to derive primality tests analogous to the Lucas-Lehmer test for integers of the form A .3 n ± 1 A.3^n \pm 1 . The test for A .3 n − 1 A.3^n-1 is a minor improvement on a test derived by Williams by other means; the test
Autor:
T. G. Berry
Publikováno v:
ACM SIGCOMM Computer Communication Review. 20:12-17
The theory underlying the modification of the CRC which is used in protocols such as HDLC and ADCCP is sketched, and a possible pitfall in the implementation is described.
Autor:
T. G. Berry
Publikováno v:
Archiv der Mathematik. 55:259-266
Autor:
T. G. Berry, Richard R. Patterson
Publikováno v:
Computer Aided Geometric Design. 14:877-879
This paper studies the uniqueness of the control points and weights of a Bezier curve in any dimensional space. If the curve cannot be degree reduced and is not improperly parametrized then the control points are uniquely defined and the weights can