From a290d583ca3c4dfc39115068f209d64449c93a03 Mon Sep 17 00:00:00 2001
From: bnewbold <bnewbold@ziggy.(none)>
Date: Sun, 24 Jan 2010 03:39:25 -0500
Subject: math fixes

---
 math/algebra.page | 91 +++++++++++++++----------------------------------------
 1 file changed, 24 insertions(+), 67 deletions(-)

(limited to 'math/algebra.page')

diff --git a/math/algebra.page b/math/algebra.page
index e1a44db..658267e 100644
--- a/math/algebra.page
+++ b/math/algebra.page
@@ -1,85 +1,42 @@
 ---
-format: rst
+format: markdown
 categories: math
 toc: no
 ...
 
-====================
-Algebra
-====================
+# Algebra
 
-.. note:: Most of the definitions and notation in the section are based on [rudin]_ or [meserve]_
+*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
+Name        Symbol             Pos. Integers?  Pos. Rationals? Rationals?  Reals (wrt Pos Int.)?  Complex?
+----        -----------------  --------------  --------------- ----------  ---------------------  --------
+addition    $a + b$            Y               Y               Y           Y                      Y
+product     $a\times b$        Y               Y               Y           Y                      Y
+subtraction $a-b$              N               N               Y           Y                      Y
+division    $\frac{a}{b}$      N               Y               Y           Y                      Y
+power       $a^b$              Y               Y               Y           Y                      Y
+root        $\sqrt{\text{a}}$  N               N               N           Y                      Y
+----        -----------------  --------------  --------------- ----------  ---------------------  --------
 
-   * - 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
-     - Y
-     - Y
-     - N
-     - Y
-     - Y
-     - N
-   * - Rationals (and zero)
-     - Y
-     - Y
-     - Y
-     - Y
-     - Y
-     - N
-   * - Reals wrt positive integers
-     - Y
-     - Y
-     - Y
-     - Y
-     - Y
-     - Y
-   * - Complex numbers
-     - Y
-     - Y
-     - Y
-     - Y
-     - Y
-     - Y
+Table: Closure of binary operators on given sets of numbers
 
-Definitions
-=============
+## Definitions
 
-*involution*
+involution
     to raise a number to a given power
 
-*evolution*
+evolution
     to take a given root of a number
 
-*associative*
-    :latex:`$(a+b)+c=a+(b+c)$`
+associative
+    $(a+b)+c=a+(b+c)$
 
-*comutative*
-    :latex:`$a+b=b+c$`
+comutative
+    $a+b=b+c$
 
-*distributive*
-    :latex:`$(a+b)c=ac+bc$`
+distributive
+    $(a+b)c=ac+bc$
 
-.. [rudin] `Principles of Mathematical Analysis (3rd ed)`:title:, by Walter Rudin. McGraw-Hill, 1976
+[^rudin] **Principles of Mathematical Analysis (3rd ed)**, by Walter Rudin. McGraw-Hill, 1976
 
-.. [meserve] `Fundamental Concepts of Algebra`:title:, by Bruce Meserve.
+[^meserve] **Fundamental Concepts of Algebra**, by Bruce Meserve.
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