(Translated by
https://www.hiragana.jp/
)
open ball - Wikidata
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English
open ball
mathematical ball that excludes its bounding sphere
In more languages
default for all languages
No label defined
No description defined
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Statements
subclass of
open set
0 references
ball
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convex set
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part of
closed ball
0 references
defining formula
{
x
→
:
|
|
x
→
−
x
0
→
|
|
2
<
r
2
}
{\displaystyle \left\{{\vec {x}}:||{\vec {x}}-{\vec {x_{0}}}||^{2}<r^{2}\right\}}
applies to part, aspect, or form
open set
0 references
has characteristic
volume
defining formula
V
=
4
3
π
ぱい
r
3
{\displaystyle V={\frac {4}{3}}\pi r^{3}}
0 references
surface area
defining formula
S
=
4
π
ぱい
r
2
{\displaystyle S=4\pi r^{2}}
0 references
maintained by WikiProject
WikiProject Mathematics
0 references
opposite of
closed ball
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different from
ball
1 reference
inferred from
ball
Identifiers
MathWorld ID
OpenBall
0 references
Metamath statement ID
df-bl
0 references
Sitelinks
Wikipedia
(2 entries)
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dewiki
Offene Kugel
frwiki
Boule ouverte
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