What does open ball mean?
Definitions for open ball
open ball
This dictionary definitions page includes all the possible meanings, example usage and translations of the word open ball.
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Wiktionary
open ballnoun
The set of all points in a metric space whose distance from a given point ("the open ball's center") is less than a given length ("the open ball's radius").
Wikipedia
open ball
In mathematics, a ball is the solid figure bounded by a sphere; it is also called a solid sphere. It may be a closed ball (including the boundary points that constitute the sphere) or an open ball (excluding them). These concepts are defined not only in three-dimensional Euclidean space but also for lower and higher dimensions, and for metric spaces in general. A ball in n dimensions is called a hyperball or n-ball and is bounded by a hypersphere or (n−1)-sphere. Thus, for example, a ball in the Euclidean plane is the same thing as a disk, the area bounded by a circle. In Euclidean 3-space, a ball is taken to be the volume bounded by a 2-dimensional sphere. In a one-dimensional space, a ball is a line segment. In other contexts, such as in Euclidean geometry and informal use, sphere is sometimes used to mean ball. In the field of topology the closed n {\displaystyle n} -dimensional ball is often denoted as B n {\displaystyle B^{n}} or D n {\displaystyle D^{n}} while the open n {\displaystyle n} -dimensional ball is Int B n {\displaystyle \operatorname {Int} B^{n}} or Int D n {\displaystyle \operatorname {Int} D^{n}} .
Numerology
Chaldean Numerology
The numerical value of open ball in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of open ball in Pythagorean Numerology is: 5
Translations for open ball
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"open ball." Definitions.net. STANDS4 LLC, 2024. Web. 5 May 2024. <https://www.definitions.net/definition/open+ball>.
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