INTERIOR COMPONENTS OF A TILE ASSOCIATED TO A QUADRATIC CANONICAL NUMBER SYSTEM — PART II
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چکیده
منابع مشابه
Interior Components of a Tile associated to a Quadratic Canonical Number System - Part II
Let α = −2+ √ −1 be a root of the polynomial p(x) = x +4x+5. It is well-known that the pair (α, {0, 1, 2, 3, 4}) forms a canonical number system, i.e., that each γ ∈ Z[α] admits a finite representation of the shape γ = a0 + a1α+ · · ·+ alα with ai ∈ {0, 1, 2, 3, 4}. The set T of points with integer part 0 in this number system
متن کاملInterior Components of a Tile Associated to a Quadratic Canonical Number System
Let α = −2+ √ −1 be a root of the polynomial p(x) = x+4x+5. It is well known that the pair (p(x), {0, 1, 2, 3, 4}) forms a canonical number system, i.e., that each x ∈ Z[α] admits a finite representation of the shape x = a0 + a1α + · · · + alα with ai ∈ {0, 1, 2, 3, 4}. The set T of points with integer part 0 in this number system T := ( ∞ X i=1 aiα −i , ai ∈ {0, 1, 2, 3, 4} ) is called the fun...
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15 صفحه اولBeyond first order logic: From number of structures to structure of numbers: Part II
We study the history and recent developments in nonelementarymodel theory focusing on the framework of abstractelementary classes. We discuss the role of syntax and semanticsand the motivation to generalize first order model theory to nonelementaryframeworks and illuminate the study with concrete examplesof classes of models. This second part continues to study the question of catecoricitytrans...
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ژورنال
عنوان ژورنال: Fractals
سال: 2010
ISSN: 0218-348X,1793-6543
DOI: 10.1142/s0218348x10004920