The vertical sections of a fence can be just about any size and design, from round dowels to flat slats, pointed or shaped tops or a simple curve between each post to break the straight row pattern.
32.
Therefore, if there are more than two Fatou domains, " each " point of the Julia set must have points of more than two different open sets infinitely close, and this means that the Julia set cannot be a simple curve.
33.
Equivalently, a strictly convex curve is a curve that intersects any line in at most two points, or a simple curve in convex position, meaning that none of its points is a convex combination of any other subset of its points.
34.
At the same time, in geometry and computer graphics there are a number of concepts to replace the notion of the " interior " for closed non-simple curves; see, e . g ., " flood fill " and " winding number ".
35.
As adults, though, the coils then curve away from the axis of coiling, either as an oxbow-like curve around the juvenile coils as in " Ainoceras " and " Anaklinoceras ", or in a simple curved loop beneath the juvenile coils, as in " Yezoceras ".
36.
This assures that along a simple curve, the variation in " y "-coordinate, measured locally in every chart, is a geometric quantity ( i . e . independent of the chart ) and permits the definition of a total variation along a simple closed curve on " S ".
37.
Given a SIMPLE curve with dinstinct end points A, B, is it possible to find a SIMPLE polygonal line P with end points A, B such that P is contained in the tube C + B ( e ) = { c + b : c in C, b in B ( e ) }?
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