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Abstract A set S ⊆ R is called a set of range uniqueness (SRU) for the set P n of real polynomials of degree at most n, if for all… Click to show full abstract
Abstract A set S ⊆ R is called a set of range uniqueness (SRU) for the set P n of real polynomials of degree at most n, if for all f , g ∈ P n , f [ S ] = g [ S ] ⇒ f = g . We show that for every natural number n, there are SRUs for P n of cardinality 2 n + 1 , but there are no such SRUs of size 2n. We also construct SRUs for the set P of all real polynomials.
Keywords:
srus;
range uniqueness;
multisets range;
uniqueness polynomials;
sets multisets
Journal Title: Linear Algebra and its Applications
Year Published: 2020
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Journal Title: Linear Algebra and its Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!