User:Azjps/Proofs

The following is some useful general advice about writing solutions for the AoPSWiki.

Follow convention

Problem/solution pages have simple template formats to follow:

== Problem ==
 <PROBLEM GOES HERE>

 <If multiple choice, include answers>
$\mathrm{(A)}\ ANSWER \qquad \mathrm{(B)}\ ANSWER \qquad \mathrm{(C)}\ ANSWER \qquad \mathrm{(D)}\ ANSWER \qquad \mathrm{(E)}\ ANSWER$

== Solution ==
 <SOLUTION GOES HERE>

== See also ==
{{SUCCESSION box|year=YYYY|num-b=NUMB|num-a=NUMA}}

[[Category:DIFFICULTY SUBJECT Problems]]

where the items in caps respectively, refer to the problem statement, the format for multiple choice answers, the solution, the year, the appropriate succession box, the number before this question (eg, if the current question is #5, replace NUMB with 4), the number after the question, the difficulty (Introductory/Intermediate/Olympiad), and the subject (Algebra/Trigonometry/Number Theory/Combinatorics/Geometry).

More details can be found at A:CPS. Succession template box documentation can be found on their respective pages.

Use LaTeX

Place all variables and numbers relevant to the problem in LaTeX, which besides just formatting them well, also distinguishes them well from the rest of the text.

Important equations should be written outside of the text and given space by centering the equation: to do so, use double . Many mathematical symbols can be found here. Some relatively common examples include the fraction, \frac{a}{b} - ; constants like pi \pi - , arrows \Longrightarrow - , boxing (for the solution) \boxed{5} - . You can also type with a normal font while using LaTeX by using \text{TEXT GOES HERE} - .

Multiple equations can be aligned using either

\begin{align*} 
x &= 2 \cdot 2 + 2  \\ 
x &= 4 + 2  \\
x &= 6
\end{align*}

or by

\begin{eqnarray*} 
x + y &=& x-y  \\ 
2x &=& -2y  \\
x &=& -y
\end{eqnarray*}

Tone

Remember that wiki articles are meant to be read by many other users.

However, it is also intended for users with various degrees of knowledge, so solutions should be clear and concise while still being easy to follow for students with not as much experience with math.