Titlebook: Computational Proximity; Excursions in the To James F. Peters Book 2016 Springer International Publishing Switzerland 2016 Description.Desc

Hemiplegia

Problemstellung und Gang der Untersuchung,This chapter takes another look at connectedness. The traditional view of connected spaces is augmented with the introduction of strongly near proximity, which ushers in new forms of connectedness, namely.

遗弃

https://doi.org/10.1007/978-3-8349-9808-8This chapter introduces a strongly proximal version of Helly’s theorem for convex sets and convex bodies. The collection of labelled Voronoï regions in the mesh nerve on the apple surface in Fig. . is an example of a Helly family of convex bodies.

NUL

蜡烛

Computational Proximity,This chapter introduces computational proximity. Basically, . (CP) is an algorithmic approach to finding nonempty sets of points that are either close to each other or far apart. The methods used by CP to find either near sets or remote sets result from the study of structures called proximity spaces.

HATCH

Distance and Proximally Continuous,This chapter introduces distance functions called metrics and continuous functions.

shrill

凶残

Visibility, Hausdorffness, Algebra and Separation Spaces,This chapter introduces visibility and separation spaces, useful in the study of set patterns. The notion of visibility stems from our daily experience in being able to seg our vision. In a sense, visibility is the opposite of separation of sets. In topology, disjoint sets are separated.

暗讽

戏法

绿州

Strong Connectedness Revisited,This chapter takes another look at connectedness. The traditional view of connected spaces is augmented with the introduction of strongly near proximity, which ushers in new forms of connectedness, namely.