open ball

open ball

[′ō·pən ′bȯl]
(mathematics)
In a metric space, an open set about a point x which consists of all points that are less than a fixed distance from x.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive ?
The set B(a, r) = {x[member of]N:d(a, x) < r} is called open ball centered at a with radius r (r> 0).
New turnstiles would be added to the ground - and posts would be fitted on the sides of the pitch that border Walton Hall Park so that open ball netting can be put in place during matches.
Inside two minutes, Real Madrid got dispossessed once, keeper Thibaut Courtois was stretched by Serginho and then there was a scrappy defence of a corner which had three unmarked red shirts poking their heads at an open ball and goal.
In an interview to ANI, the tennis legend, who kick-started the Australian Open Ball kids programme earlier in the day here at RK Khanna Tennis Complex, opined that if Paes and Bhupathi, also known as the "Indian Express" had played together for a longer period of time, they could have won many more accolades for India.
"Long ball, we win the first one, open ball and we lose that challenge when we could have shot it anywhere, the stand or wherever.
Denote with B([x.sub.*], r) [subset] X an open ball with center [x.sub.*] and radius r.
An important subclass of the Clifford holomorphic functions called special monogenic functions is considered, for which a Cannon theorem on the effectiveness in closed and open ball [21,23] was established.
Let [B.sub.r](0) be the open ball in a normed linear space X centered at the origin and of radius r and let T : [bar.[B.sub.r](0)] [right arrow] P(X) be a completely continuous set-valued map with compact convex values.
The extended circle space [bar.K] of every spherical circle plane is homeomorphic to [P.sub.3]R\X, where X is an open ball. This is a 3-dimensional topological manifold with boundary with the point set S forming the boundary.
In this particular instance, an open ball problem can result from using the wrong thermal profile.
If (X, N, *) is a weak fuzzy normed space, the open ball [B.sub.N](x, r, t) with center x, radius r, 0 < r < 1, and t > 0 is defined as follows: