ISSN:
1436-5081
Keywords:
53A04
;
26A27
;
Space-filling curve
;
differentiability properties
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The coordinate functions of Pólya's space-filling curve are nowhere differentiable if the smaller angle of the triangular target set is between 30° and 45°, limits included; are not differentiable almost everywhere and have derivative zero on a non-denumerable set if the angle is between 15° and 30°, lower limit included; and have derivative zero almost everywhere if the angle is less than 15°.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01299642
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