منابع مشابه
Additive multiplicative increasing functions on nonnegative square matrices and multidigraphs
It is known that if f is a multiplicative increasing function on N, then either f(n) = 0 for all n∈N or f(n) = n for some ¿0. It is very natural to ask if there are similar results in other algebraic systems. In this paper, we 1rst study the multiplicative increasing functions over nonnegative square matrices with respect to tensor product and then restrict our result to multidigraphs and loopl...
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Graph homomorphism is an ubiquitous notion in graph theory with a variety of applications, and a first step to understanding more general constraints given by relational structures, see e.g. the monograph of Hell and Nešetřil [5]. We write μ : G→ H if μ is a homomorphism from the graph G to H, or simply G → H if such a homomorphism exists. For example, a graph G is k-colorable iff it has a homo...
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Truth be told, this definition is a bit embarrassing. It would mean that taking any function from calculus whose domain contains [1,+∞) and restricting it to positive integer values, we get an arithmetical function. For instance, e −3x cos2 x+(17 log(x+1)) is an arithmetical function according to this definition, although it is, at best, dubious whether this function holds any significance in n...
متن کاملMultiplicative Distance Functions
We call φ the root function of Φ. The continuity of Φ implies that (1.2) φ(γ) → |γ| as |γ| → ∞. Moreover the converse is true, if φ is continuous and satisfies this asymptotic formula, then the function Φ formed as in (1.1) is a multiplicative distance function. Theorem 1.1. A continuous function φ : C → [0,∞) is the root function of a multiplicative distance function iff it satisfies (1.2). Ar...
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We show that a completely multiplicative automatic function, which dos not have 0 as value, is almost periodic.
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2004
ISSN: 0213-2230
DOI: 10.4171/rmi/405