Informatic vs. Classical Differentiation on the Real Line
نویسندگان
چکیده
منابع مشابه
Informatic vs . Classical Differentiation on the Real Line 1
We study the relationship between informatic and classical differentiation on the real line. The former arises when considering the interval domain over the reals equipped with the Lebesgue measurement. We show that informatic differentiation is a strict generalization of its classical counterpart, and wonder if it can provide a springboard towards extending techniques and results from calculus...
متن کاملInformatic vs. Classical Differentiation on the Real Line
We study the relationship between informatic and classical differentiation on the real line. The former arises when considering the interval domain over the reals equipped with the Lebesgue measurement. We show that informatic differentiation is a strict generalization of its classical counterpart, and wonder if it can provide a springboard towards extending techniques and results from calculus...
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A theorem on the existence of separable supports of σ-finite Borel measures given on metric spaces with small topological weights is applied to constructions of certain analogues of special subsets of the real line. A well-known result from topological measure theory states that every σ-finite Borel measure on a metric space whose weight is not real-valued measurable possesses a separable suppo...
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ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 2004
ISSN: 1571-0661
DOI: 10.1016/j.entcs.2004.08.006