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| author | bnewbold <bnewbold@eta.mit.edu> | 2009-02-03 06:08:09 -0500 |
|---|---|---|
| committer | bnewbold <bnewbold@eta.mit.edu> | 2009-02-03 06:08:09 -0500 |
| commit | b053ffbd7f1dc1a28098c1a68d44d92d0f449cfc (patch) | |
| tree | 1c232af203814323aac7617575ef6c2756114f04 /math/algebra | |
| parent | 95a9589201696dfe00a9219e5c2586bfec15339b (diff) | |
| parent | 838e1b2d55f39113fffe0f998cb1011b57747691 (diff) | |
| download | knowledge-b053ffbd7f1dc1a28098c1a68d44d92d0f449cfc.tar.gz knowledge-b053ffbd7f1dc1a28098c1a68d44d92d0f449cfc.zip | |
Merge branch 'master' of ssh://bnewbold@animus.robocracy.org/srv/git/knowledge
Diffstat (limited to 'math/algebra')
| -rw-r--r-- | math/algebra | 32 |
1 files changed, 20 insertions, 12 deletions
diff --git a/math/algebra b/math/algebra index b337a2e..3e39ddb 100644 --- a/math/algebra +++ b/math/algebra @@ -5,42 +5,50 @@ Algebra .. note:: Most of the definitions and notation in the section are based on [rudin]_ or [meserve]_ .. list-table:: Closure of binary operators on given sets of numbers - * Operation - - :latex:`$+$` - - :latex:`$\times$` - - :latex:`$-$` - - :latex:`$\divide$` - - :latex:`$^$` - - :latex:`$\sqrt{\text{ }}$` - * Positive Integers + + * - Operation name + - addition + - product + - subtraction + - division + - power + - root + * - Operation symbol + - :latex:`$a + b$` + - :latex:`$a\times b$` + - :latex:`$a-b$` + - :latex:`$\frac{a}{b}$` + - :latex:`$a^b$` + - :latex:`$\sqrt{\text{a}}$` + * - Positive Integers - Y - Y - N - N - Y - N - * Positive rationals + * - Positive rationals - Y - Y - N - Y - Y - N - * Rationals (and zero) + * - Rationals (and zero) - Y - Y - Y - Y - Y - N - * Reals wrt positive integers + * - Reals wrt positive integers - Y - Y - Y - Y - Y - Y - * Complex numbers + * - Complex numbers - Y - Y - Y |