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matrix [2014/03/21 11:11] 127.0.0.1 external edit |
matrix [2015/10/18 17:55] nikolaj |
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===== Matrix ===== | ===== Matrix ===== | ||
==== Set ==== | ==== Set ==== | ||
- | | @#55CCEE: context | @#55CCEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ ... set | |
| @#55CCEE: context | @#55CCEE: $n,m\in \mathbb N$ | | | @#55CCEE: context | @#55CCEE: $n,m\in \mathbb N$ | | ||
- | |||
| @#FFBB00: definiendum | @#FFBB00: $ A\in \mathrm{Matrix}(n,m,X) $ | | | @#FFBB00: definiendum | @#FFBB00: $ A\in \mathrm{Matrix}(n,m,X) $ | | ||
- | + | | @#55EE55: postulate | @#55EE55: $$ A\in\mathrm{FinSequence}(\mathrm{FinSequence}(X)) $$ | | |
- | | @#55CCEE: context | @#55CCEE: $ A\in\mathrm{FinSequence}(\mathrm{FinSequence}(X)) $ | | + | |
| @#DDDDDD: range | @#DDDDDD: $ 1\ge i\ge m$ | | | @#DDDDDD: range | @#DDDDDD: $ 1\ge i\ge m$ | | ||
- | |||
| @#55EE55: postulate | @#55EE55: $\mathrm{length}(A)=n$ | | | @#55EE55: postulate | @#55EE55: $\mathrm{length}(A)=n$ | | ||
| @#55EE55: postulate | @#55EE55: $\mathrm{length}(A_i)=m$ | | | @#55EE55: postulate | @#55EE55: $\mathrm{length}(A_i)=m$ | | ||
- | ==== Discussion ==== | + | ----- |
- | We write $A_{ij}\equiv (A_i)_j$ | + | === Discussion === |
- | ==== Parents ==== | + | We write |
+ | |||
+ | $A_{ij}\equiv (A_i)_j$ | ||
+ | |||
+ | ----- | ||
=== Subset of === | === Subset of === | ||
[[Finite sequence]] | [[Finite sequence]] | ||