open ball
mathematical ball that excludes its bounding sphere
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open ball
Summary
Key Facts
- open ball's subclass of is recorded as open set[1].
- open ball's subclass of is recorded as convex set[2].
- open ball's subclass of is recorded as neighborhood[3].
- open ball's part of is recorded as closed ball[4].
- open ball's opposite of is recorded as closed ball[5].
- open ball's has characteristic is recorded as volume[6].
- open ball's has characteristic is recorded as surface area[7].
- open ball's has characteristic is recorded as openness[8].
- open ball's different from is recorded as ball[9].
- open ball's defining formula is recorded as \left{ \vec{x} : \left\Vert\vec{x} - \vec{x_0}\right\Vert^2 < r^2 \right}<sup id="cite-C10" class="cite-ref" title="open ball — defining formula (P2534): \left{ \vec{x} : \left\Vert\vec{x} - \vec{x_0}\right\Vert^2 < r^2 \right}">[10].
- open ball's MathWorld ID is recorded as OpenBall[11].
- open ball's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- open ball's in defining formula is recorded as r[13].
- open ball's in defining formula is recorded as \vec{x_0}[14].
- open ball's Metamath statement ID is recorded as df-bl[15].