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Fixed braces in TeX output

master
Levi Pearson 2014-01-25 13:45:13 -07:00
parent 6332875855
commit 7fc4349d7f
1 changed files with 5 additions and 5 deletions
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10
math/proof/notes.page
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@ -12,15 +12,15 @@ title: Mathematical Proof Study Notes
## *Hammack*, 25 Jan 2014 ## *Hammack*, 25 Jan 2014
All of Mathematics can be described with sets. All of Mathematics can be described with *sets*.
*set* *set*
: A collection of things. The things in the set are called *elements*. : A collection of things. The things in the set are called *elements*.
An example of a set: ${2,4,6,8}$ An example of a set: $\{2,4,6,8\}$
The set of all integers: The set of all integers:
$$ {\dots, -4, -3, -2, -1, 0, 1, 2, 3, 4, \dots} $$ $$ \{\dots, -4, -3, -2, -1, 0, 1, 2, 3, 4, \dots\} $$
The dots mean the expressed pattern continues. The dots mean the expressed pattern continues.
@ -29,8 +29,8 @@ Sets of infinitely many members are *infinite*, otherwise they are
Sets are *equal* if they have exactly the same elements. Sets are *equal* if they have exactly the same elements.
E.g. ${2,4,5,8} = {4,2,8,6}$ but ${2,4,6,8} \neq {2,4,6,7}$. E.g. $\{2,4,5,8\} = \{4,2,8,6\}$ but $\{2,4,6,8\} \neq \{2,4,6,7\}$.
Uppercase letters often denote sets, e.g. $A = {1,2,3,4}$. Uppercase letters often denote sets, e.g. $A = \{1,2,3,4\}$.
To express membership, we use $\in$, as in $2 \in A$. To express membership, we use $\in$, as in $2 \in A$.