Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Last revision Both sides next revision | ||
|
vector_space [2013/08/31 15:00] nikolaj |
vector_space [2014/03/21 11:11] 127.0.0.1 external edit |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Vector space ===== | ===== Vector space ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $V,F$ | | + | | @#55CCEE: context | @#55CCEE: $V,F$ | |
| - | | @#FFBB00: $\langle\mathcal V,\mathcal F, *\rangle \in \mathrm{vectorSpace}(V,F)$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle\mathcal V,\mathcal F, *\rangle \in \mathrm{vectorSpace}(V,F)$ | |
| - | | @#88DDEE: $\langle\mathcal V,\mathcal F, *\rangle \in \mathrm{module}(V,F)$ | | + | | @#55CCEE: context | @#55CCEE: $\langle\mathcal V,\mathcal F, *\rangle \in \mathrm{module}(V,F)$ | |
| - | | @#88DDEE: $\mathcal F\in \mathrm{field}(F)$ | | + | | @#55CCEE: context | @#55CCEE: $\mathcal F\in \mathrm{field}(F)$ | |
| ==== Ramifications ==== | ==== Ramifications ==== | ||
| Line 13: | Line 13: | ||
| One speaks of an $F$-vector space over $V$. Here $F$ and $V$ are just sets. | One speaks of an $F$-vector space over $V$. Here $F$ and $V$ are just sets. | ||
| - | ==== Reference ==== | + | === Reference === |
| Wikipedia: [[http://en.wikipedia.org/wiki/Vector_space|Vector space]] | Wikipedia: [[http://en.wikipedia.org/wiki/Vector_space|Vector space]] | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Subset of === | === Subset of === | ||
| [[Module]] | [[Module]] | ||
| - | === Requirements === | + | === Context === |
| [[Field]] | [[Field]] | ||
