## Abstract By a __convenient vector space__ is meant a locally convex IRβvector space which is separated, bornological and Mackeyβcomplete. The theory of such spaces, initiated in [Kr 82], [Fr 82], and [FGK 83], has evolved into a book [FK 88]. In the preliminaries below we outline the principal f
A Smooth Space of Tetrahedra
β Scribed by Eric Babson; Paul E Gunnells; Richard Scott
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 250 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
β¦ Synopsis
We construct a smooth symmetric compactification of the space of all labeled tetrahedra in P 3 .
π SIMILAR VOLUMES
## Abstract This paper deals with function spaces of varying smoothness. It is a modified version of corresponding parts of [8]. Corresponding spaces of positive smoothness __s__ (__x__) will be considered in part II. We define the spaces __B__~__p__~ (β^__n__^ ), where the function π: __x__ β¦ __s
In this paper we study relations between moduli of smoothness with the step-weight function . and the best approximation by splines with knots uniformly distributed according to the measure with density 1Γ.(x). The direct and converse results are obtained for a class of step-weight functions, contai
It is shown that parametrical smoothness conditions are sufficient for modeling smooth spline surfaces of arbitrary topology if degenerate surface segments are accepted. In general, degeneracy, i.e., vanishing partial derivatives at extraordinary points, is leading to surfaces with geometrical singu