Ball (mathematics)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a ball is the inside of a sphere. It may be either a closed ball (including the boundary points) 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 the Euclidean plane, for example, is the same thing as a disk, the area bounded by a circle. In mathematics contexts where the term "ball" is used, the word "sphere" ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a ball is the inside of a sphere. It may be either a closed ball (including the boundary points) 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 the Euclidean plane, for example, is the same thing as a disk, the area bounded by a circle. In mathematics contexts where the term "ball" is used, the word "sphere" is usually assumed to refer to the boundary points only (namely, a spherical surface in three-dimensional space). In other contexts, such as in Euclidean geometry and informal use, "sphere" may be sometimes mean "ball".
