Complex numbers can be represented in positional notation using certain digit sets. In this paper, we present the polygonal representation which uses zero and the n-roots of unity as digits. We give conditions on the base in order that every complex number be representable in such a system. We total
Radix representations of quadratic fields
โ Scribed by William J Gilbert
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 608 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V โผ = iโI V i , where each V i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I | 2.
In the preceding paper, (K. Tomita, Proc. Japan Acad. Ser. A Sci. Math. 71 (1995), 41 43), for all real quadratic fields Q(-d ) such that the period k d of the continued fraction expansion of d) and d itself by using two parameters appearing in the continued fraction expansion of | d ; In this paper
Let F be a finite field of cliaracteristic two and'let F'xm and FIXn denote vector spaces of m-tuples and n-tuples, respectively, over P. Let Q be a quadratic form of rank m defined on FIXm and let Q, be a quadratic form of rank n defined on F I X n . Then relative to given ordered bases for .FIXm a