𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A System of Names for Binary Numbers

✍ Scribed by STERN, J.


Book ID
121164593
Publisher
American Association for the Advancement of Science
Year
1958
Tongue
English
Weight
673 KB
Volume
128
Category
Article
ISSN
0036-8075

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For an expanding matrix H ∈ Z kΓ—k , a subset W βŠ‚ Z k is called a complete digit set, if all points of the integer lattice Z k can be uniquely represented as a finite sum x = N(x) i=0 H i r i , with r i ∈ W and N(x) ∈ N. We present a necessary and sufficient condition for the existence of a complete