tight span造句

• Dress independently constructed the same construct, which he called the tight span.
• The tight span is one of the central constructions of T-theory.
• An important concept of T-theory is the tight span of a metric space.
• The tight span was first described by, and it was studied and applied by HolsztyD
  ski in the 1960s.
• In addition, the tight span of a finite metric space is closely related to the orthogonal convex hull.
• Any metric space has a smallest injective metric space into which it can be isometrically embedded, called its metric envelope or tight span.
• John Isbell was the first to discover the tight span in 1964, which he called the "'injective envelope " '.
• The definition above embeds the tight span of a set of " n " points into a space of dimension " n ".
• However, orthogonal hulls and tight spans differ for point sets with disconnected orthogonal hulls, or in higher-dimensional L " p " spaces.
• If a finite point set in the plane has a connected orthogonal convex hull, that hull is the tight span for the Manhattan distance on the point set.
• Thus, the Vietoris Rips complex of any metric space " M " equals the
  ech complex of a system of balls in the tight span of " M ".
• It is straightforward to expand the definition of ? using the triangle inequality for " X " to show that the distance between any two points of " X " is equal to the distance between the corresponding points in the tight span.
• An alternative definition based on the notion of a metric space aimed at its subspace was described by, who proved that the injective envelope of a Banach space, in the category of Banach spaces, coincides ( after forgetting the linear structure ) with the tight span.
• However, showed that, with a suitable general position assumption on the metric, this definition leads to a space with dimension between " n " / 3 and " n " / 2 . provide an alternative definition of the tight span of a finite metric space, as the tropical convex hull of the vectors of distances from each point to each other point in the space.