Accession Number:

ADA083825

Title:

The Peano Curve of Schoenberg is Nowhere Differentiable.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-02-01

Pagination or Media Count:

19.0

Abstract:

Well known are examples of area-filling curves, and of continuous functions which are nowhere differentiable. This paper brings together these two pathological properties by showing that the area-filling curve described, lacks, at every point, a finite derivative.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE