Mathematical Space
(Redirected from space (mathematics))
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A Mathematical Space is a set that ...
- Example(s):
- a Vector Space, such as a Coordinate Space.
- See: Norm (Mathematics), Universe (Mathematics), Mathematical Structure, Inner Product Space, Normed Vector Space.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/space_(mathematics) Retrieved:2015-7-25.
- In mathematics, a space is a set (sometimes called a universe) with some added structure.
Mathematical spaces often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space. For instance, all inner product spaces are also normed vector spaces, because the inner product induces a norm on the inner product space such that: : [math]\displaystyle{ \|x\| =\sqrt{\langle x, x\rangle}. }[/math] Modern mathematics treats "space" quite differently compared to classical mathematics.
- In mathematics, a space is a set (sometimes called a universe) with some added structure.