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https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&diff=158804
LaTeX:Symbols
2021-07-21T02:40:15Z
<p>Sonone: /* Finding Other Symbols */</p>
<hr />
<div>{{Latex}}<br />
<br />
This article provides a short list of commonly used LaTeX symbols. <br />
<br />
== Finding Other Symbols ==<br />
<br />
Here are some external resources for finding less commonly used symbols:<br />
<ul><br />
<li><br />
[http://detexify.kirelabs.org/classify.html Detexify] is an online application which allows you to draw the symbol you'd like and shows you the <math>\text{\LaTeX}</math> code for it!<br />
<br/><br/></li><br />
<br />
<li><br />
MathJax (what allows us to use <math>\text{\LaTeX}</math> on the web, (technically an AJAX library simulating it.)) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].<br />
<br/><br/></li><br />
<br />
<li><br />
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].<br />
<br/><br/></li><br />
<br />
<li><br />
[https://mathvault.ca/wp-content/uploads/Comprehensive-List-of-Mathematical-Symbols.pdf Comprehensive List of Mathematical Symbols].<br />
<br/><br/></li><br />
</ul><br />
<br />
-------------------------------------------------------------------------------------------------------------<br />
<br />
==Operators==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\pm</math>||\pm||<math>\mp</math>||\mp||<math>\times</math>||\times<br />
|-<br />
|<math>\div</math>||\div||<math>\cdot</math>||\cdot||<math>\ast</math>||\ast<br />
|-<br />
|<math>\star</math>||\star||<math>\dagger</math>||\dagger||<math>\ddagger</math>||\ddagger<br />
|-<br />
|<math>\amalg</math>||\amalg||<math>\cap</math>||\cap||<math>\cup</math>||\cup<br />
|-<br />
|<math>\uplus</math>||\uplus||<math>\sqcap</math>||\sqcap||<math>\sqcup</math>||\sqcup<br />
|-<br />
|<math>\vee</math>||\vee||<math>\wedge</math>||\wedge||<math>\oplus</math>||\oplus<br />
|-<br />
|<math>\ominus</math>||\ominus||<math>\otimes</math>||\otimes||<math>\circ</math>||\circ<br />
|-<br />
|<math>\bullet</math>||\bullet||<math>\diamond</math>||\diamond||<math>\lhd</math>||\lhd<br />
|-<br />
|<math>\rhd</math>||\rhd||<math>\unlhd</math>||\unlhd||<math>\unrhd</math>||\unrhd<br />
|-<br />
|<math>\oslash</math>||\oslash||<math>\odot</math>||\odot||<math>\bigcirc</math>||\bigcirc<br />
|-<br />
|<math>\triangleleft</math>||\triangleleft||<math>\Diamond</math>||\Diamond||<math>\bigtriangleup</math>||\bigtriangleup<br />
|-<br />
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright<br />
|-<br />
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}<br />
|-<br />
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}<br />
|-<br />
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}||<math>a_x</math>||a_x<br />
|}<br />
<br />
==Relations==<br />
{| class="latextable"<br />
!Symbol !! Command !!Symbol !! Command!!Symbol !! Command<br />
|-<br />
| <math>\le</math>||\le||<math>\ge</math>||\ge||<math>\neq</math>||\neq<br />
|-<br />
| <math>\sim</math>||\sim||<math>\ll</math>||\ll||<math>\gg</math>||\gg<br />
|-<br />
| <math>\doteq</math>||\doteq||<math>\simeq</math>||\simeq||<math>\subset</math>||\subset<br />
|-<br />
| <math>\supset</math>||\supset||<math>\approx</math>||\approx||<math>\asymp</math>||\asymp<br />
|-<br />
| <math>\subseteq</math>||\subseteq||<math>\supseteq</math>||\supseteq||<math>\cong</math>||\cong<br />
|-<br />
| <math>\smile</math>||\smile||<math>\sqsubset</math>||\sqsubset||<math>\sqsupset</math>||\sqsupset<br />
|-<br />
| <math>\equiv</math>||\equiv||<math>\frown</math>||\frown||<math>\sqsubseteq</math>||\sqsubseteq<br />
|-<br />
| <math>\sqsupseteq</math>||\sqsupseteq||<math>\propto</math>||\propto||<math>\bowtie</math>||\bowtie<br />
|-<br />
| <math>\in</math>||\in||<math>\ni</math>||\ni||<math>\prec</math>||\prec<br />
|-<br />
| <math>\succ</math>||\succ||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models<br />
|-<br />
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel||<br />
|-<br />
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||<br />
|}<br />
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an "n" between the \ and the word. Here are a couple examples, plus many other negations; it works for many of the many others as well.<br />
<br />
{| class="latextable"}<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\nmid</math>||\nmid||<math>\nleq</math>||\nleq||<math>\ngeq</math>||\ngeq<br />
|-<br />
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel<br />
|-<br />
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not= or \neq<br />
|-<br />
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim<br />
|-<br />
|<math>\not \approx</math>||\not\approx||<math>\not\cong</math>||\not\cong||<math>\not\equiv</math>||\not\equiv<br />
|-<br />
| <math>\not\parallel</math>||\not\parallel||<math>\nless</math>||\nless||<math>\ngtr</math>||\ngtr<br />
|-<br />
| <math>\lneq</math>||\lneq||<math>\gneq</math>||\gneq||<math>\lnsim</math>||\lnsim<br />
|-<br />
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq<br />
|}<br />
<br />
To use other relations not listed here, such as =, >, and <, in LaTeX, you must use the symbols on your keyboard, as they are not available in <math>\LaTeX</math>.<br />
<br />
==Greek Letters==<br />
{| class="latextable"<br />
|+ Lowercase Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math>||\delta<br />
|-<br />
| <math>\epsilon</math>||\epsilon||<math>\varepsilon</math>||\varepsilon||<math>\zeta</math>||\zeta||<math>\eta</math>||\eta<br />
|-<br />
| <math>\theta</math>||\theta||<math>\vartheta</math>||\vartheta||<math>\iota</math>||\iota||<math>\kappa</math>||\kappa<br />
|-<br />
| <math>\lambda</math>||\lambda||<math>\mu</math>||\mu||<math>\nu</math>||\nu||<math>\xi</math>||\xi<br />
|-<br />
|<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math>||\varrho<br />
|-<br />
| <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon</math>||\upsilon<br />
|-<br />
| <math>\phi</math>||\phi||<math>\varphi</math>||\varphi||<math>\chi</math>||\chi||<math>\psi</math>||\psi<br />
|-<br />
| <math>\omega</math>||\omega<br />
|}<br />
<br />
<br />
{| class="latextable"<br />
|+ Capital Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\Gamma</math>||\Gamma||<math>\Delta</math>||\Delta||<math>\Theta</math>||\Theta||<math>\Lambda</math>||\Lambda<br />
|-<br />
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon<br />
|-<br />
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega<br />
|}<br />
<br />
<br />
== Arrows ==<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\gets</math>||\gets||<math>\to</math>||\to<br />
|-<br />
|<math>\leftarrow</math>||\leftarrow||<math>\Leftarrow</math>||\Leftarrow<br />
|-<br />
|<math>\rightarrow</math>||\rightarrow||<math>\Rightarrow</math>||\Rightarrow<br />
|-<br />
|<math>\leftrightarrow</math>||\leftrightarrow||<math>\Leftrightarrow</math>||\Leftrightarrow<br />
|-<br />
|<math>\mapsto</math>||\mapsto||<math>\hookleftarrow</math>||\hookleftarrow<br />
|-<br />
|<math>\leftharpoonup</math>||\leftharpoonup||<math>\leftharpoondown</math>||\leftharpoondown<br />
|-<br />
|<math>\rightleftharpoons</math>||\rightleftharpoons||<math>\longleftarrow</math>||\longleftarrow<br />
|-<br />
|<math>\Longleftarrow</math>||\Longleftarrow||<math>\longrightarrow</math>||\longrightarrow<br />
|-<br />
|<math>\Longrightarrow</math>||\Longrightarrow||<math>\longleftrightarrow</math>||\longleftrightarrow<br />
|-<br />
|<math>\Longleftrightarrow</math>||\Longleftrightarrow||<math>\longmapsto</math>||\longmapsto<br />
|-<br />
|<math>\hookrightarrow</math>||\hookrightarrow||<math>\rightharpoonup</math>||\rightharpoonup<br />
|-<br />
|<math>\rightharpoondown</math>||\rightharpoondown||<math>\leadsto</math>||\leadsto<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\Uparrow</math>||\Uparrow<br />
|-<br />
|<math>\downarrow</math>||\downarrow||<math>\Downarrow</math>||\Downarrow<br />
|-<br />
|<math>\updownarrow</math>||\updownarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|-<br />
|<math>\nearrow</math>||\nearrow||<math>\searrow</math>||\searrow<br />
|-<br />
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow<br />
|-<br />
|<math>\overrightarrow{AB}</math>||\overrightarrow{AB}||<math>\overleftarrow{AB}</math>||\overleftarrow{AB}<br />
|-<br />
|<math>\overleftrightarrow{AB}</math>||\overleftrightarrow{AB}|| ||<br />
|}<br />
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)<br />
<br />
==Dots==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!<br />
|- <br />
|<math>\cdot</math>||\cdot|| |<math>\vdots</math>||\vdots|| <br />
|- <br />
|<math>\dots</math>||\dots|| |<math>\ddots</math>||\ddots||<br />
|-<br />
|<math>\cdots</math>||\cdots|| |<math>\iddots</math>||\iddots||<br />
<br />
|}<br />
<br />
==Accents==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}<br />
|-<br />
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}<br />
|-<br />
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}<br />
|-<br />
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}<br />
|}<br />
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}<br />
|}<br />
\tilde and \hat have wide versions that allow you to accent an expression:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}<br />
|}<br />
<br />
==Others==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command <br />
|-<br />
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle<br />
|-<br />
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath<br />
|-<br />
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp<br />
|-<br />
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho<br />
|-<br />
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla<br />
|-<br />
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top<br />
|-<br />
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg<br />
|-<br />
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp<br />
|-<br />
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond<br />
|-<br />
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit<br />
|-<br />
|<math>\spadesuit</math>||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare<br />
|-<br />
|<math>\diamondsuit</math>||\diamondsuit||<math>\copyright</math>||\copyright ||<math>\underarc{XYZ}</math>||\underarc{XYZ}<br />
|-<br />
|<math>\heartsuit</math>||\heartsuit||<math>\overarc{ABC}</math>||\overarc{ABC} ||<math>\cup</math>||\cup <br />
|-<br />
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\Vdash</math>||\Vdash<br />
|-<br />
|<math>\pounds</math>||\pounds||<math>\in</math>||\in||<math>\vDash</math>||\vDash<br />
|-<br />
|<math>\bigstar</math>||\bigstar<br />
|-<br />
|<math>\square</math>||\square||<br />
|-<br />
|<math>\smiley</math>||\smiley||<br />
|-<br />
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||<br />
|-<br />
|<math>\checkmark</math>||\checkmark||<br />
|-<br />
|<math>\cancer</math>||\cancer||<br />
|}<br />
Note: <math>\cancer</math> does not work in the classroom. <math>\overarc{ABC}</math> doesn't work either.<br />
<br />
==Command Symbols==<br />
Some symbols are used in commands so they need to be treated in a special way.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\textdollar</math>||\textdollar or \\$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#<br />
|-<br />
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash<br />
|}<br />
<br />
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)<br />
<br />
==European Language Symbols==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}<br />
|-<br />
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}<br />
|-<br />
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`<br />
|-<br />
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||<br />
|}<br />
<br />
==Bracketing Symbols==<br />
In mathematics, sometimes we need to enclose expressions in brackets, braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki><br />
|-<br />
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor<br />
|-<br />
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle<br />
|-<br />
| <math>\rangle</math>||\rangle<br />
|}<br />
You might notice that if you use any of these to typeset an expression that is vertically large, like<br />
<br />
:<tt>(\frac{a}{x} )^2</tt><br />
<br />
the parentheses don't come out the right size:<br />
<br />
:<math>(\frac{a}{x})^2</math><br />
<br />
If we put \left and \right before the relevant parentheses, we get a prettier expression:<br />
<br />
:<tt>\left(\frac{a}{x} \right)^2</tt><br />
<br />
gives<br />
<br />
:<math>\left(\frac{a}{x} \right)^2</math><br />
<br />
For systems of equations or piecewise functions, use the cases environment:<br />
<br />
<tt>f(x) = \begin{cases} x^2 & x \ge 0 \\ x & x < 0 \end{cases}</tt><br />
<br />
which gives<br />
<br />
<math>f(x) = \begin{cases} x^2 & x \ge 0 \\ x & x < 0 \end{cases}</math><br />
<br />
In addition to the <tt>\left</tt> and <tt>\right</tt> commands, when doing floor or ceiling functions with fractions, using <br />
<br />
<tt>\left\lceil\frac{x}{y}\right\rceil</tt> <br />
<br />
and <tt>\left\lfloor\frac{x}{y}\right\rfloor </tt><br />
<br />
give both <math>\left\lceil\frac{x}{y}\right\rceil\text{ and }\left\lfloor\frac{x}{y}\right\rfloor\text{, respectively.}</math><br />
<br />
<br />
And, if you type this<br />
<br />
<tt>\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}</tt><br />
<br />
Gives<br />
<br />
<math>\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}</math><br />
<br />
Or<br />
<br />
<tt>\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}</tt><br />
<br />
Gives<br />
<br />
<math>\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}</math><br />
<br />
<br />
\left and \right can also be used to resize the following symbols:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow<br />
|-<br />
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|}<br />
<br />
==Multi-Size Symbols==<br />
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.<br />
<br />
In each of the following, the two images show the symbol in display mode, then in inline mode.<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\sum \textstyle\sum</math>||\sum||<math>\int \textstyle\int</math>||\int||<math>\oint \textstyle\oint</math>||\oint<br />
|-<br />
|<math>\prod \textstyle\prod</math>||\prod||<math>\coprod \textstyle\coprod</math>||\coprod||<math>\bigcap \textstyle\bigcap</math>||\bigcap<br />
|-<br />
|<math>\bigcup \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee \textstyle\bigvee</math>||\bigvee<br />
|-<br />
|<math>\bigwedge \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot \textstyle\bigodot</math>||\bigodot||<math>\bigotimes \textstyle\bigotimes</math>||\bigotimes<br />
|-<br />
|<math>\bigoplus \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus \textstyle\biguplus</math>||\biguplus<br />
|}<br />
<br />
==See Also==<br />
*[[LaTeX:Commands | Next: Commands]]</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=1987_AIME_Problems/Problem_14&diff=157177
1987 AIME Problems/Problem 14
2021-07-01T21:41:07Z
<p>Sonone: /* Solution 3 (Complex Numbers) */</p>
<hr />
<div>== Problem ==<br />
Compute<br />
<cmath>\frac{(10^4+324)(22^4+324)(34^4+324)(46^4+324)(58^4+324)}{(4^4+324)(16^4+324)(28^4+324)(40^4+324)(52^4+324)}.</cmath><br />
<br />
== Solution 1 (Sophie Germain Identity) ==<br />
The [[Sophie Germain Identity]] states that <math>a^4 + 4b^4</math> can be factored as <math>(a^2 + 2b^2 - 2ab)(a^2 + 2b^2 + 2ab)</math>. Each of the terms is in the form of <math>x^4 + 324</math>. Using Sophie Germain, we get that <cmath>x^4 + 4\cdot 3^4 = (x^2 + 2 \cdot 3^2 - 2\cdot 3\cdot x)(x^2 + 2 \cdot 3^2 + 2\cdot 3\cdot x) = (x(x-6) + 18)(x(x+6)+18),</cmath> so the original expression becomes<br />
<div style="text-align:center;"><math>\frac{[(10(10-6)+18)(10(10+6)+18)][(22(22-6)+18)(22(22+6)+18)]\cdots[(58(58-6)+18)(58(58+6)+18)]}{[(4(4-6)+18)(4(4+6)+18)][(16(16-6)+18)(16(16+6)+18)]\cdots[(52(52-6)+18)(52(52+6)+18)]}</math><br /><br /><br />
<br />
<math>= \frac{(10(4)+18)(10(16)+18)(22(16)+18)(22(28)+18)\cdots(58(52)+18)(58(64)+18)}{(4(-2)+18)(4(10)+18)(16(10)+18)(16(22)+18)\cdots(52(46)+18)(52(58)+18)}</math></div><br />
<br />
Almost all of the terms cancel out! We are left with <math>\frac{58(64)+18}{4(-2)+18} = \frac{3730}{10} = \boxed{373}</math>.<br />
<br />
== Solution 2 (Completing the Square and Difference of Squares) ==<br />
In both the numerator and the denominator, each factor is of the form <math>N^4+324=N^4+18^2</math> for some positive integer <math>N.</math> <br />
<br />
We factor <math>N^4+18^2</math> by completing the square, then applying the difference of squares:<br />
<cmath>\begin{align*}<br />
N^4+18^2&=\left(N^4+36N^2+18^2\right)-36N^2 \\<br />
&=\left(N^2+18\right)^2-(6N)^2 \\<br />
&=\left(N^2-6N+18\right)\left(N^2+6N+18\right) \\<br />
&=\left((N-3)^2+9\right)\left((N+3)^2+9\right).<br />
\end{align*}</cmath><br />
The original expression now becomes <cmath>\frac{\left[(7^2+9)(13^2+9)\right]\left[(19^2+9)(25^2+9)\right]\left[(31^2+9)(37^2+9)\right]\left[(43^2+9)(49^2+9)\right]\left[(55^2+9)(61^2+9)\right]}{\left[(1^2+9)(7^2+9)\right]\left[(13^2+9)(19^2+9)\right]\left[(25^2+9)(31^2+9)\right]\left[(37^2+9)(43^2+9)\right]\left[(49^2+9)(55^2+9)\right]}=\frac{61^2+9}{1^2+9}=\boxed{373}.</cmath><br />
~MRENTHUSIASM<br />
<br />
== Solution 3 (Complex Numbers) ==<br />
In both the numerator and the denominator, each factor is of the form <math>N^4+324=N^4+18^2</math> for some positive integer <math>N.</math><br />
<br />
We factor <math>N^4+18^2</math> by solving the equation <math>N^4+18^2</math> <math>=0</math>.<br />
<br />
== Video Solution ==<br />
https://youtu.be/ZWqHxc0i7ro?t=1023<br />
<br />
~ pi_is_3.14<br />
<br />
== See also ==<br />
{{AIME box|year=1987|num-b=13|num-a=15}}<br />
<br />
[[Category:Intermediate Algebra Problems]]<br />
{{MAA Notice}}</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Sonone&diff=136117
User:Sonone
2020-10-30T13:17:45Z
<p>Sonone: </p>
<hr />
<div><div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:32pt; font-family:computer modern; font-weight:800px;">sonone's AoPS font index (Mac)</div><br />
<div style="font-family:computer modern; font-size:12pt; text-align:center;">Note: If a symbol is not listed, it does not officially exist in the AoPS font and will appear the same. Also note that all of these symbols are attained from a Macbook, and might be different from your normal keyboard. For non Mac users, <math>\verb|Option|</math> is the same as the <math>\verb|alt|</math> button.</div><br />
<div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:12pt; font-family:computer modern; font-weight:800px;">If you think this is helpful, add to this number by incrementing the current number by 1:<div style ="text-align:center; font-size: 30pt">3 <span class="aops-font">Y</span></div><br />
</div><br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| a||a || <div style="font-family:aops;">a</div><br />
|-<br />
| b||b || <div style="font-family:aops;">b</div><br />
|-<br />
| c||c || <div style="font-family:aops;">c</div><br />
|-<br />
| d||d || <div style="font-family:aops;">d</div><br />
|-<br />
| e||e || <div style="font-family:aops;">e</div><br />
|-<br />
| f||f || <div style="font-family:aops;">f</div><br />
|-<br />
| g||g || <div style="font-family:aops;">g</div><br />
|-<br />
| h||h || <div style="font-family:aops;">h</div><br />
|-<br />
| i||i || <div style="font-family:aops;">i</div><br />
|-<br />
| j||j || <div style="font-family:aops;">j</div><br />
|-<br />
| k||k || <div style="font-family:aops;">k</div><br />
|-<br />
| l||l || <div style="font-family:aops;">l</div><br />
|-<br />
| m||m || <div style="font-family:aops;">m</div><br />
|-<br />
| n||n || <div style="font-family:aops;">n</div><br />
|-<br />
| o||o || <div style="font-family:aops;">o</div><br />
|-<br />
| p||p || <div style="font-family:aops;">p</div><br />
|-<br />
| q||q || <div style="font-family:aops;">q</div><br />
|-<br />
| r||r || <div style="font-family:aops;">r</div><br />
|-<br />
| s||s || <div style="font-family:aops;">s</div><br />
|-<br />
| t||t || <div style="font-family:aops;">t</div><br />
|-<br />
| u||u || <div style="font-family:aops;">u</div><br />
|-<br />
| v||v || <div style="font-family:aops;">v</div><br />
|-<br />
| w||w || <div style="font-family:aops;">w</div><br />
|-<br />
| x||x || <div style="font-family:aops;">x</div><br />
|-<br />
| y||y || <div style="font-family:aops;">y</div><br />
|-<br />
| z||z || <div style="font-family:aops;">z</div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ a||A || <div style="font-family:aops;">A</div><br />
|-<br />
| Shift+ b||B || <div style="font-family:aops;">B</div><br />
|-<br />
| Shift+ c||C || <div style="font-family:aops;">C</div><br />
|-<br />
| Shift+ d||D || <div style="font-family:aops;">D</div><br />
|-<br />
| Shift+ e||E || <div style="font-family:aops;">E</div><br />
|-<br />
| Shift+ f||F || <div style="font-family:aops;">F</div><br />
|-<br />
| Shift+ g||G || <div style="font-family:aops;">G</div><br />
|-<br />
| Shift+ h||H || <div style="font-family:aops;">H</div><br />
|-<br />
| Shift+ i||I || <div style="font-family:aops;">I</div><br />
|-<br />
| Shift+ j||J || <div style="font-family:aops;">J</div><br />
|-<br />
| Shift+ k||K || <div style="font-family:aops;">K</div><br />
|-<br />
| Shift+ l||L || <div style="font-family:aops;">L</div><br />
|-<br />
| Shift+ m||M || <div style="font-family:aops;">M</div><br />
|-<br />
| Shift+ n||N || <div style="font-family:aops;">N</div><br />
|-<br />
| Shift+ o||O || <div style="font-family:aops;">O</div><br />
|-<br />
| Shift+ p||P || <div style="font-family:aops;">P</div><br />
|-<br />
| Shift+ q||Q || <div style="font-family:aops;">Q</div><br />
|-<br />
| Shift+ r||R || <div style="font-family:aops;">R</div><br />
|-<br />
| Shift+ s||S || <div style="font-family:aops;">S</div><br />
|-<br />
| Shift+ t||T || <div style="font-family:aops;">T</div><br />
|-<br />
| Shift+ u||U || <div style="font-family:aops;">U</div><br />
|-<br />
| Shift+ v||V || <div style="font-family:aops;">V</div><br />
|-<br />
| Shift+ w||W || <div style="font-family:aops;">W</div><br />
|-<br />
| Shift+ x||X || <div style="font-family:aops;">X</div><br />
|-<br />
| Shift+ y||Y || <div style="font-family:aops;">Y</div><br />
|-<br />
| Shift+ z||Z || <div style="font-family:aops;">Z</div><br />
|}<br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| 1||1 || <div style="font-family:aops;">1</div><br />
|-<br />
| 2||2 || <div style="font-family:aops;">2</div><br />
|-<br />
| 3||3 || <div style="font-family:aops;">3</div><br />
|-<br />
| 4||4 || <div style="font-family:aops;">4</div><br />
|-<br />
| 5||5 || <div style="font-family:aops;">5</div><br />
|-<br />
| 6||6 || <div style="font-family:aops;">6</div><br />
|-<br />
| 7||7 || <div style="font-family:aops;">7</div><br />
|-<br />
| 8||8 || <div style="font-family:aops;">8</div><br />
|-<br />
| 9||9 || <div style="font-family:aops;">9</div><br />
|-<br />
| 0||0 || <div style="font-family:aops;">0</div><br />
|-<br />
| -||- || <div style="font-family:aops;">-</div><br />
|-<br />
| = ||= || <div style="font-family:aops;"></div><br />
|-<br />
| [ ||[ || <div style="font-family:aops;"></div><br />
|-<br />
| ] ||] || <div style="font-family:aops;"></div><br />
|-<br />
| \ ||\ || <div style="font-family:aops;"></div><br />
|-<br />
| ; ||; || <div style="font-family:aops;">;</div><br />
|-<br />
| '||' || <div style="font-family:aops;">'</div><br />
|-<br />
| ,||, || <div style="font-family:aops;">,</div><br />
|-<br />
| .||. || <div style="font-family:aops;">.</div><br />
|-<br />
| / ||/ || <div style="font-family:aops;">/</div><br />
|-<br />
| `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ 1||! || <div style="font-family:aops;">!</div><br />
|-<br />
| Shift+ 2||@ || <div style="font-family:aops;">@</div><br />
|-<br />
| Shift+ 3||# || <div style="font-family:aops;">#</div><br />
|-<br />
| Shift+ 4|| \$ || <div style="font-family:aops;">$</div><br />
|-<br />
| Shift+ 5||% || <div style="font-family:aops;">%</div><br />
|-<br />
| Shift+ 6||^ || <div style="font-family:aops;">^</div><br />
|-<br />
| Shift+ 7||& || <div style="font-family:aops;">&</div><br />
|-<br />
| Shift+ 8||* || <div style="font-family:aops;">*</div><br />
|-<br />
| Shift+ 9||( || <div style="font-family:aops;">(</div><br />
|-<br />
| Shift+ 0||) || <div style="font-family:aops;">)</div><br />
|-<br />
| Shift+ -||_ || <div style="font-family:aops;">_</div><br />
|-<br />
| Shift+ = ||+ || <div style="font-family:aops;">+</div><br />
|-<br />
| Shift+ [ ||{ || <div style="font-family:aops;">{</div><br />
|-<br />
| Shift+ ] ||} || <div style="font-family:aops;">}</div><br />
|-<br />
| Shift+ \ ||| || <span class="aops-font">|</span><br />
|-<br />
| Shift+ ; ||: || <div style="font-family:aops;">:</div><br />
|-<br />
| Shift+ '||" || <div style="font-family:aops;">"</div><br />
|-<br />
| Shift+ ,||< || <div style="font-family:aops;"><</div><br />
|-<br />
| Shift+ .||> || <div style="font-family:aops;">></div><br />
|-<br />
| Shift+ / ||? || <div style="font-family:aops;">?</div><br />
|-<br />
| Shift+ `||~ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
|Option+ a||å || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ b||∫ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ c||ç || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ d||∂ || <div style="font-family:aops;">∂</div><br />
|-<br />
|Option+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ f||ƒ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ g||© || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ h||˙ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ j||∆ || <div style="font-family:aops;">∆</div><br />
|-<br />
|Option+ k||˚ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ l||¬ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ m||µ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
|Option+ o||ø || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ p||π || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ q||œ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ r||® || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ s||ß || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ t||† || <div style="font-family:aops;">†</div><br />
|-<br />
|Option+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ v||√ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ w||∑ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ x||≈ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ y||¥ || <div style="font-family:aops;">¥</div><br />
|-<br />
|Option+ z||Ω || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Option+Shift+ a||Å || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ b||ı || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ c||Ç || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ d||Î || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ f||Ï || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ g||˝ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ h||Ó || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ j||Ô || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ k|| || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ l||Ò || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ m||Â || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
| Option+Shift+ o||Ø || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ p||∏ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ q||Œ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ r||‰ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ s||Í || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ t||ˇ || <div style="font-family:aops;">ˇ</div><br />
|-<br />
| Option+Shift+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ v||◊ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ w||„ || <div style="font-family:aops;">„</div><br />
|-<br />
| Option+Shift+ x||˛ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ y||Á || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ z||¸ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+ 1||¡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 2||™ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 3||£ || <div style="font-family:aops;">£</div><br />
|-<br />
| Option+ 4||¢ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 5||∞ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 6||§ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 7||¶ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 8||• || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 9||ª || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 0||º || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ -||– || <div style="font-family:aops;">–</div><br />
|-<br />
| Option+ = ||≠ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ [ ||“ || <div style="font-family:aops;">“</div><br />
|-<br />
| Option+ ] ||‘ || <div style="font-family:aops;">‘</div><br />
|-<br />
| Option+ \ ||« || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ; ||… || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ '||æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ,||≤ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ .||≥ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ / ||÷ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+Shift+ 1||⁄ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 2||€ || <div style="font-family:aops;">€</div><br />
|-<br />
| Option+Shift+ 3||‹ || <div style="font-family:aops;">‹</div><br />
|-<br />
| Option+Shift+ 4||› || <div style="font-family:aops;">›</div><br />
|-<br />
| Option+Shift+ 5||fi || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 6||fl || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 7||‡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 8||° || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 9||· || <div style="font-family:aops;">·</div><br />
|-<br />
| Option+Shift+ 0||‚ || <div style="font-family:aops;">‚</div><br />
|-<br />
| Option+Shift+ -||— || <div style="font-family:aops;">—</div><br />
|-<br />
| Option+Shift+ = ||± || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ [ ||” || <div style="font-family:aops;">”</div><br />
|-<br />
| Option+Shift+ ] ||’ || <div style="font-family:aops;">’</div><br />
|-<br />
| Option+Shift+ \ ||» || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ; ||Ú || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ '||Æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ,||¯ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ .||˘ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ / ||¿ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ `||` || <div style="font-family:aops;"></div><br />
|}</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=135869
User:Piphi
2020-10-26T16:19:18Z
<p>Sonone: </p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="100px">361</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi is 100 percent OP compared to the rest of us --[[User:Aops-g5-gethsemanea2|Aops-g5-gethsemanea2]] ([[User talk:Aops-g5-gethsemanea2|talk]]) 09:24, 4 September 2020 (EDT) <br><br />
<br />
According to my studies Piphi is 50 percent asymptote, 50 percent AoPS Wiki, and 100 percent fun. --[[User:CreativeHedgehog|Creativehedgehog]] ([[User talk:CreativeHedgehog|talk]]) 16:14, 19 September 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br><br />
<br />
Piphi is amazing at asymptote. [[User:Sonone]]<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px"><br />
You can check out more goals/statistics [[User:Piphi/Statistics|here]].<br />
<br />
A User Count of 500<br />
{{User:Piphi/Template:Progress_Bar|71.4|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|63.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|46.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|19.72|width=100%}}</div><br />
</div></div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Sonone&diff=135868
User:Sonone
2020-10-26T16:18:19Z
<p>Sonone: </p>
<hr />
<div><div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:32pt; font-family:computer modern; font-weight:800px;">sonone's AoPS font index (Mac)</div><br />
<div style="font-family:computer modern; font-size:12pt; text-align:center;">Note: If a symbol is not listed, it does not officially exist in the AoPS font and will appear the same. Also note that all of these symbols are attained from a Macbook, and might be different from your normal keyboard. For non Mac users, <math>\verb|Option|</math> is the same as the <math>\verb|alt|</math> button.</div><br />
<div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:12pt; font-family:computer modern; font-weight:800px;">If you think this is helpful, add to this number by incrementing the current number by 1:<div style ="text-align:center; font-size:50pt; font-family:computer modern; font-weight:800px;">1</div><br />
</div><br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| a||a || <div style="font-family:aops;">a</div><br />
|-<br />
| b||b || <div style="font-family:aops;">b</div><br />
|-<br />
| c||c || <div style="font-family:aops;">c</div><br />
|-<br />
| d||d || <div style="font-family:aops;">d</div><br />
|-<br />
| e||e || <div style="font-family:aops;">e</div><br />
|-<br />
| f||f || <div style="font-family:aops;">f</div><br />
|-<br />
| g||g || <div style="font-family:aops;">g</div><br />
|-<br />
| h||h || <div style="font-family:aops;">h</div><br />
|-<br />
| i||i || <div style="font-family:aops;">i</div><br />
|-<br />
| j||j || <div style="font-family:aops;">j</div><br />
|-<br />
| k||k || <div style="font-family:aops;">k</div><br />
|-<br />
| l||l || <div style="font-family:aops;">l</div><br />
|-<br />
| m||m || <div style="font-family:aops;">m</div><br />
|-<br />
| n||n || <div style="font-family:aops;">n</div><br />
|-<br />
| o||o || <div style="font-family:aops;">o</div><br />
|-<br />
| p||p || <div style="font-family:aops;">p</div><br />
|-<br />
| q||q || <div style="font-family:aops;">q</div><br />
|-<br />
| r||r || <div style="font-family:aops;">r</div><br />
|-<br />
| s||s || <div style="font-family:aops;">s</div><br />
|-<br />
| t||t || <div style="font-family:aops;">t</div><br />
|-<br />
| u||u || <div style="font-family:aops;">u</div><br />
|-<br />
| v||v || <div style="font-family:aops;">v</div><br />
|-<br />
| w||w || <div style="font-family:aops;">w</div><br />
|-<br />
| x||x || <div style="font-family:aops;">x</div><br />
|-<br />
| y||y || <div style="font-family:aops;">y</div><br />
|-<br />
| z||z || <div style="font-family:aops;">z</div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ a||A || <div style="font-family:aops;">A</div><br />
|-<br />
| Shift+ b||B || <div style="font-family:aops;">B</div><br />
|-<br />
| Shift+ c||C || <div style="font-family:aops;">C</div><br />
|-<br />
| Shift+ d||D || <div style="font-family:aops;">D</div><br />
|-<br />
| Shift+ e||E || <div style="font-family:aops;">E</div><br />
|-<br />
| Shift+ f||F || <div style="font-family:aops;">F</div><br />
|-<br />
| Shift+ g||G || <div style="font-family:aops;">G</div><br />
|-<br />
| Shift+ h||H || <div style="font-family:aops;">H</div><br />
|-<br />
| Shift+ i||I || <div style="font-family:aops;">I</div><br />
|-<br />
| Shift+ j||J || <div style="font-family:aops;">J</div><br />
|-<br />
| Shift+ k||K || <div style="font-family:aops;">K</div><br />
|-<br />
| Shift+ l||L || <div style="font-family:aops;">L</div><br />
|-<br />
| Shift+ m||M || <div style="font-family:aops;">M</div><br />
|-<br />
| Shift+ n||N || <div style="font-family:aops;">N</div><br />
|-<br />
| Shift+ o||O || <div style="font-family:aops;">O</div><br />
|-<br />
| Shift+ p||P || <div style="font-family:aops;">P</div><br />
|-<br />
| Shift+ q||Q || <div style="font-family:aops;">Q</div><br />
|-<br />
| Shift+ r||R || <div style="font-family:aops;">R</div><br />
|-<br />
| Shift+ s||S || <div style="font-family:aops;">S</div><br />
|-<br />
| Shift+ t||T || <div style="font-family:aops;">T</div><br />
|-<br />
| Shift+ u||U || <div style="font-family:aops;">U</div><br />
|-<br />
| Shift+ v||V || <div style="font-family:aops;">V</div><br />
|-<br />
| Shift+ w||W || <div style="font-family:aops;">W</div><br />
|-<br />
| Shift+ x||X || <div style="font-family:aops;">X</div><br />
|-<br />
| Shift+ y||Y || <div style="font-family:aops;">Y</div><br />
|-<br />
| Shift+ z||Z || <div style="font-family:aops;">Z</div><br />
|}<br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| 1||1 || <div style="font-family:aops;">1</div><br />
|-<br />
| 2||2 || <div style="font-family:aops;">2</div><br />
|-<br />
| 3||3 || <div style="font-family:aops;">3</div><br />
|-<br />
| 4||4 || <div style="font-family:aops;">4</div><br />
|-<br />
| 5||5 || <div style="font-family:aops;">5</div><br />
|-<br />
| 6||6 || <div style="font-family:aops;">6</div><br />
|-<br />
| 7||7 || <div style="font-family:aops;">7</div><br />
|-<br />
| 8||8 || <div style="font-family:aops;">8</div><br />
|-<br />
| 9||9 || <div style="font-family:aops;">9</div><br />
|-<br />
| 0||0 || <div style="font-family:aops;">0</div><br />
|-<br />
| -||- || <div style="font-family:aops;">-</div><br />
|-<br />
| = ||= || <div style="font-family:aops;"></div><br />
|-<br />
| [ ||[ || <div style="font-family:aops;"></div><br />
|-<br />
| ] ||] || <div style="font-family:aops;"></div><br />
|-<br />
| \ ||\ || <div style="font-family:aops;"></div><br />
|-<br />
| ; ||; || <div style="font-family:aops;">;</div><br />
|-<br />
| '||' || <div style="font-family:aops;">'</div><br />
|-<br />
| ,||, || <div style="font-family:aops;">,</div><br />
|-<br />
| .||. || <div style="font-family:aops;">.</div><br />
|-<br />
| / ||/ || <div style="font-family:aops;">/</div><br />
|-<br />
| `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ 1||! || <div style="font-family:aops;">!</div><br />
|-<br />
| Shift+ 2||@ || <div style="font-family:aops;">@</div><br />
|-<br />
| Shift+ 3||# || <div style="font-family:aops;">#</div><br />
|-<br />
| Shift+ 4|| \$ || <div style="font-family:aops;">$</div><br />
|-<br />
| Shift+ 5||% || <div style="font-family:aops;">%</div><br />
|-<br />
| Shift+ 6||^ || <div style="font-family:aops;">^</div><br />
|-<br />
| Shift+ 7||& || <div style="font-family:aops;">&</div><br />
|-<br />
| Shift+ 8||* || <div style="font-family:aops;">*</div><br />
|-<br />
| Shift+ 9||( || <div style="font-family:aops;">(</div><br />
|-<br />
| Shift+ 0||) || <div style="font-family:aops;">)</div><br />
|-<br />
| Shift+ -||_ || <div style="font-family:aops;">_</div><br />
|-<br />
| Shift+ = ||+ || <div style="font-family:aops;">+</div><br />
|-<br />
| Shift+ [ ||{ || <div style="font-family:aops;">{</div><br />
|-<br />
| Shift+ ] ||} || <div style="font-family:aops;">}</div><br />
|-<br />
| Shift+ \ ||| || <div style="font-family:aops;">|</div><br />
|-<br />
| Shift+ ; ||: || <div style="font-family:aops;">:</div><br />
|-<br />
| Shift+ '||" || <div style="font-family:aops;">"</div><br />
|-<br />
| Shift+ ,||< || <div style="font-family:aops;"><</div><br />
|-<br />
| Shift+ .||> || <div style="font-family:aops;">></div><br />
|-<br />
| Shift+ / ||? || <div style="font-family:aops;">?</div><br />
|-<br />
| Shift+ `||~ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
|Option+ a||å || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ b||∫ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ c||ç || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ d||∂ || <div style="font-family:aops;">∂</div><br />
|-<br />
|Option+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ f||ƒ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ g||© || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ h||˙ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ j||∆ || <div style="font-family:aops;">∆</div><br />
|-<br />
|Option+ k||˚ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ l||¬ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ m||µ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
|Option+ o||ø || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ p||π || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ q||œ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ r||® || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ s||ß || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ t||† || <div style="font-family:aops;">†</div><br />
|-<br />
|Option+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ v||√ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ w||∑ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ x||≈ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ y||¥ || <div style="font-family:aops;">¥</div><br />
|-<br />
|Option+ z||Ω || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Option+Shift+ a||Å || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ b||ı || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ c||Ç || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ d||Î || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ f||Ï || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ g||˝ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ h||Ó || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ j||Ô || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ k|| || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ l||Ò || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ m||Â || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
| Option+Shift+ o||Ø || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ p||∏ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ q||Œ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ r||‰ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ s||Í || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ t||ˇ || <div style="font-family:aops;">ˇ</div><br />
|-<br />
| Option+Shift+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ v||◊ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ w||„ || <div style="font-family:aops;">„</div><br />
|-<br />
| Option+Shift+ x||˛ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ y||Á || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ z||¸ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+ 1||¡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 2||™ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 3||£ || <div style="font-family:aops;">£</div><br />
|-<br />
| Option+ 4||¢ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 5||∞ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 6||§ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 7||¶ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 8||• || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 9||ª || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 0||º || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ -||– || <div style="font-family:aops;">–</div><br />
|-<br />
| Option+ = ||≠ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ [ ||“ || <div style="font-family:aops;">“</div><br />
|-<br />
| Option+ ] ||‘ || <div style="font-family:aops;">‘</div><br />
|-<br />
| Option+ \ ||« || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ; ||… || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ '||æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ,||≤ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ .||≥ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ / ||÷ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+Shift+ 1||⁄ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 2||€ || <div style="font-family:aops;">€</div><br />
|-<br />
| Option+Shift+ 3||‹ || <div style="font-family:aops;">‹</div><br />
|-<br />
| Option+Shift+ 4||› || <div style="font-family:aops;">›</div><br />
|-<br />
| Option+Shift+ 5||fi || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 6||fl || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 7||‡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 8||° || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 9||· || <div style="font-family:aops;">·</div><br />
|-<br />
| Option+Shift+ 0||‚ || <div style="font-family:aops;">‚</div><br />
|-<br />
| Option+Shift+ -||— || <div style="font-family:aops;">—</div><br />
|-<br />
| Option+Shift+ = ||± || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ [ ||” || <div style="font-family:aops;">”</div><br />
|-<br />
| Option+Shift+ ] ||’ || <div style="font-family:aops;">’</div><br />
|-<br />
| Option+Shift+ \ ||» || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ; ||Ú || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ '||Æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ,||¯ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ .||˘ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ / ||¿ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ `||` || <div style="font-family:aops;"></div><br />
|}</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Sonone&diff=135867
User:Sonone
2020-10-26T16:13:16Z
<p>Sonone: </p>
<hr />
<div><div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:32pt; font-family:computer modern; font-weight:800px;">sonone's AoPS font index (Mac)</div><br />
<div style="font-family:computer modern; font-size:12pt; text-align:center;">Note: If a symbol is not listed, it does not officially exist in the AoPS font and will appear the same. Also note that all of these symbols are attained from a Macbook, and might be different from your normal keyboard. For non Mac users, <math>\verb|Option|</math> is the same as the <math>\verb|alt|</math> button.</div><br />
<div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:12pt; font-family:computer modern; font-weight:800px;">If you think this is helpful, please add yourself to the likes and rate it:<br />
<br />
</div><br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| a||a || <div style="font-family:aops;">a</div><br />
|-<br />
| b||b || <div style="font-family:aops;">b</div><br />
|-<br />
| c||c || <div style="font-family:aops;">c</div><br />
|-<br />
| d||d || <div style="font-family:aops;">d</div><br />
|-<br />
| e||e || <div style="font-family:aops;">e</div><br />
|-<br />
| f||f || <div style="font-family:aops;">f</div><br />
|-<br />
| g||g || <div style="font-family:aops;">g</div><br />
|-<br />
| h||h || <div style="font-family:aops;">h</div><br />
|-<br />
| i||i || <div style="font-family:aops;">i</div><br />
|-<br />
| j||j || <div style="font-family:aops;">j</div><br />
|-<br />
| k||k || <div style="font-family:aops;">k</div><br />
|-<br />
| l||l || <div style="font-family:aops;">l</div><br />
|-<br />
| m||m || <div style="font-family:aops;">m</div><br />
|-<br />
| n||n || <div style="font-family:aops;">n</div><br />
|-<br />
| o||o || <div style="font-family:aops;">o</div><br />
|-<br />
| p||p || <div style="font-family:aops;">p</div><br />
|-<br />
| q||q || <div style="font-family:aops;">q</div><br />
|-<br />
| r||r || <div style="font-family:aops;">r</div><br />
|-<br />
| s||s || <div style="font-family:aops;">s</div><br />
|-<br />
| t||t || <div style="font-family:aops;">t</div><br />
|-<br />
| u||u || <div style="font-family:aops;">u</div><br />
|-<br />
| v||v || <div style="font-family:aops;">v</div><br />
|-<br />
| w||w || <div style="font-family:aops;">w</div><br />
|-<br />
| x||x || <div style="font-family:aops;">x</div><br />
|-<br />
| y||y || <div style="font-family:aops;">y</div><br />
|-<br />
| z||z || <div style="font-family:aops;">z</div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ a||A || <div style="font-family:aops;">A</div><br />
|-<br />
| Shift+ b||B || <div style="font-family:aops;">B</div><br />
|-<br />
| Shift+ c||C || <div style="font-family:aops;">C</div><br />
|-<br />
| Shift+ d||D || <div style="font-family:aops;">D</div><br />
|-<br />
| Shift+ e||E || <div style="font-family:aops;">E</div><br />
|-<br />
| Shift+ f||F || <div style="font-family:aops;">F</div><br />
|-<br />
| Shift+ g||G || <div style="font-family:aops;">G</div><br />
|-<br />
| Shift+ h||H || <div style="font-family:aops;">H</div><br />
|-<br />
| Shift+ i||I || <div style="font-family:aops;">I</div><br />
|-<br />
| Shift+ j||J || <div style="font-family:aops;">J</div><br />
|-<br />
| Shift+ k||K || <div style="font-family:aops;">K</div><br />
|-<br />
| Shift+ l||L || <div style="font-family:aops;">L</div><br />
|-<br />
| Shift+ m||M || <div style="font-family:aops;">M</div><br />
|-<br />
| Shift+ n||N || <div style="font-family:aops;">N</div><br />
|-<br />
| Shift+ o||O || <div style="font-family:aops;">O</div><br />
|-<br />
| Shift+ p||P || <div style="font-family:aops;">P</div><br />
|-<br />
| Shift+ q||Q || <div style="font-family:aops;">Q</div><br />
|-<br />
| Shift+ r||R || <div style="font-family:aops;">R</div><br />
|-<br />
| Shift+ s||S || <div style="font-family:aops;">S</div><br />
|-<br />
| Shift+ t||T || <div style="font-family:aops;">T</div><br />
|-<br />
| Shift+ u||U || <div style="font-family:aops;">U</div><br />
|-<br />
| Shift+ v||V || <div style="font-family:aops;">V</div><br />
|-<br />
| Shift+ w||W || <div style="font-family:aops;">W</div><br />
|-<br />
| Shift+ x||X || <div style="font-family:aops;">X</div><br />
|-<br />
| Shift+ y||Y || <div style="font-family:aops;">Y</div><br />
|-<br />
| Shift+ z||Z || <div style="font-family:aops;">Z</div><br />
|}<br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| 1||1 || <div style="font-family:aops;">1</div><br />
|-<br />
| 2||2 || <div style="font-family:aops;">2</div><br />
|-<br />
| 3||3 || <div style="font-family:aops;">3</div><br />
|-<br />
| 4||4 || <div style="font-family:aops;">4</div><br />
|-<br />
| 5||5 || <div style="font-family:aops;">5</div><br />
|-<br />
| 6||6 || <div style="font-family:aops;">6</div><br />
|-<br />
| 7||7 || <div style="font-family:aops;">7</div><br />
|-<br />
| 8||8 || <div style="font-family:aops;">8</div><br />
|-<br />
| 9||9 || <div style="font-family:aops;">9</div><br />
|-<br />
| 0||0 || <div style="font-family:aops;">0</div><br />
|-<br />
| -||- || <div style="font-family:aops;">-</div><br />
|-<br />
| = ||= || <div style="font-family:aops;"></div><br />
|-<br />
| [ ||[ || <div style="font-family:aops;"></div><br />
|-<br />
| ] ||] || <div style="font-family:aops;"></div><br />
|-<br />
| \ ||\ || <div style="font-family:aops;"></div><br />
|-<br />
| ; ||; || <div style="font-family:aops;">;</div><br />
|-<br />
| '||' || <div style="font-family:aops;">'</div><br />
|-<br />
| ,||, || <div style="font-family:aops;">,</div><br />
|-<br />
| .||. || <div style="font-family:aops;">.</div><br />
|-<br />
| / ||/ || <div style="font-family:aops;">/</div><br />
|-<br />
| `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ 1||! || <div style="font-family:aops;">!</div><br />
|-<br />
| Shift+ 2||@ || <div style="font-family:aops;">@</div><br />
|-<br />
| Shift+ 3||# || <div style="font-family:aops;">#</div><br />
|-<br />
| Shift+ 4|| \$ || <div style="font-family:aops;">$</div><br />
|-<br />
| Shift+ 5||% || <div style="font-family:aops;">%</div><br />
|-<br />
| Shift+ 6||^ || <div style="font-family:aops;">^</div><br />
|-<br />
| Shift+ 7||& || <div style="font-family:aops;">&</div><br />
|-<br />
| Shift+ 8||* || <div style="font-family:aops;">*</div><br />
|-<br />
| Shift+ 9||( || <div style="font-family:aops;">(</div><br />
|-<br />
| Shift+ 0||) || <div style="font-family:aops;">)</div><br />
|-<br />
| Shift+ -||_ || <div style="font-family:aops;">_</div><br />
|-<br />
| Shift+ = ||+ || <div style="font-family:aops;">+</div><br />
|-<br />
| Shift+ [ ||{ || <div style="font-family:aops;">{</div><br />
|-<br />
| Shift+ ] ||} || <div style="font-family:aops;">}</div><br />
|-<br />
| Shift+ \ ||| || <div style="font-family:aops;">|</div><br />
|-<br />
| Shift+ ; ||: || <div style="font-family:aops;">:</div><br />
|-<br />
| Shift+ '||" || <div style="font-family:aops;">"</div><br />
|-<br />
| Shift+ ,||< || <div style="font-family:aops;"><</div><br />
|-<br />
| Shift+ .||> || <div style="font-family:aops;">></div><br />
|-<br />
| Shift+ / ||? || <div style="font-family:aops;">?</div><br />
|-<br />
| Shift+ `||~ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
|Option+ a||å || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ b||∫ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ c||ç || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ d||∂ || <div style="font-family:aops;">∂</div><br />
|-<br />
|Option+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ f||ƒ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ g||© || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ h||˙ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ j||∆ || <div style="font-family:aops;">∆</div><br />
|-<br />
|Option+ k||˚ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ l||¬ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ m||µ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
|Option+ o||ø || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ p||π || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ q||œ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ r||® || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ s||ß || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ t||† || <div style="font-family:aops;">†</div><br />
|-<br />
|Option+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ v||√ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ w||∑ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ x||≈ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ y||¥ || <div style="font-family:aops;">¥</div><br />
|-<br />
|Option+ z||Ω || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Option+Shift+ a||Å || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ b||ı || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ c||Ç || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ d||Î || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ f||Ï || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ g||˝ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ h||Ó || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ j||Ô || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ k|| || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ l||Ò || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ m||Â || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
| Option+Shift+ o||Ø || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ p||∏ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ q||Œ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ r||‰ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ s||Í || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ t||ˇ || <div style="font-family:aops;">ˇ</div><br />
|-<br />
| Option+Shift+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ v||◊ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ w||„ || <div style="font-family:aops;">„</div><br />
|-<br />
| Option+Shift+ x||˛ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ y||Á || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ z||¸ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+ 1||¡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 2||™ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 3||£ || <div style="font-family:aops;">£</div><br />
|-<br />
| Option+ 4||¢ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 5||∞ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 6||§ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 7||¶ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 8||• || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 9||ª || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 0||º || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ -||– || <div style="font-family:aops;">–</div><br />
|-<br />
| Option+ = ||≠ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ [ ||“ || <div style="font-family:aops;">“</div><br />
|-<br />
| Option+ ] ||‘ || <div style="font-family:aops;">‘</div><br />
|-<br />
| Option+ \ ||« || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ; ||… || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ '||æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ,||≤ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ .||≥ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ / ||÷ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+Shift+ 1||⁄ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 2||€ || <div style="font-family:aops;">€</div><br />
|-<br />
| Option+Shift+ 3||‹ || <div style="font-family:aops;">‹</div><br />
|-<br />
| Option+Shift+ 4||› || <div style="font-family:aops;">›</div><br />
|-<br />
| Option+Shift+ 5||fi || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 6||fl || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 7||‡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 8||° || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 9||· || <div style="font-family:aops;">·</div><br />
|-<br />
| Option+Shift+ 0||‚ || <div style="font-family:aops;">‚</div><br />
|-<br />
| Option+Shift+ -||— || <div style="font-family:aops;">—</div><br />
|-<br />
| Option+Shift+ = ||± || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ [ ||” || <div style="font-family:aops;">”</div><br />
|-<br />
| Option+Shift+ ] ||’ || <div style="font-family:aops;">’</div><br />
|-<br />
| Option+Shift+ \ ||» || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ; ||Ú || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ '||Æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ,||¯ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ .||˘ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ / ||¿ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ `||` || <div style="font-family:aops;"></div><br />
|}</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=135511
User:Piphi
2020-10-21T14:37:18Z
<p>Sonone: /* About Me */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="100px">357</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi is 100 percent OP compared to the rest of us --[[User:Aops-g5-gethsemanea2|Aops-g5-gethsemanea2]] ([[User talk:Aops-g5-gethsemanea2|talk]]) 09:24, 4 September 2020 (EDT) <br><br />
<br />
According to my studies Piphi is 50 percent asymptote, 50 percent AoPS Wiki, and 100 percent fun. --[[User:CreativeHedgehog|Creativehedgehog]] ([[User talk:CreativeHedgehog|talk]]) 16:14, 19 September 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br><br />
<br />
Piphi is amazing at asymptote. [[User:Sonone]]<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px"><br />
You can check out more goals/statistics [[User:Piphi/Statistics|here]].<br />
<br />
A User Count of 500<br />
{{User:Piphi/Template:Progress_Bar|71.4|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|63.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|46.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|19.72|width=100%}}</div><br />
</div></div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Sonone&diff=135507
User:Sonone
2020-10-21T14:10:32Z
<p>Sonone: </p>
<hr />
<div><div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:32pt; font-family:computer modern; font-weight:800px;">sonone's AoPS font index (Mac)</div><br />
<div style="font-family:computer modern; font-size:12pt; text-align:center;">Note: If a symbol is not listed, it does not officially exist in the AoPS font and will appear the same. Also note that all of these symbols are attained from a Macbook, and might be different from your normal keyboard. For non Mac users, <math>\verb|Option|</math> is the same as the <math>\verb|alt|</math> button.</div><br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| a||a || <div style="font-family:aops;">a</div><br />
|-<br />
| b||b || <div style="font-family:aops;">b</div><br />
|-<br />
| c||c || <div style="font-family:aops;">c</div><br />
|-<br />
| d||d || <div style="font-family:aops;">d</div><br />
|-<br />
| e||e || <div style="font-family:aops;">e</div><br />
|-<br />
| f||f || <div style="font-family:aops;">f</div><br />
|-<br />
| g||g || <div style="font-family:aops;">g</div><br />
|-<br />
| h||h || <div style="font-family:aops;">h</div><br />
|-<br />
| i||i || <div style="font-family:aops;">i</div><br />
|-<br />
| j||j || <div style="font-family:aops;">j</div><br />
|-<br />
| k||k || <div style="font-family:aops;">k</div><br />
|-<br />
| l||l || <div style="font-family:aops;">l</div><br />
|-<br />
| m||m || <div style="font-family:aops;">m</div><br />
|-<br />
| n||n || <div style="font-family:aops;">n</div><br />
|-<br />
| o||o || <div style="font-family:aops;">o</div><br />
|-<br />
| p||p || <div style="font-family:aops;">p</div><br />
|-<br />
| q||q || <div style="font-family:aops;">q</div><br />
|-<br />
| r||r || <div style="font-family:aops;">r</div><br />
|-<br />
| s||s || <div style="font-family:aops;">s</div><br />
|-<br />
| t||t || <div style="font-family:aops;">t</div><br />
|-<br />
| u||u || <div style="font-family:aops;">u</div><br />
|-<br />
| v||v || <div style="font-family:aops;">v</div><br />
|-<br />
| w||w || <div style="font-family:aops;">w</div><br />
|-<br />
| x||x || <div style="font-family:aops;">x</div><br />
|-<br />
| y||y || <div style="font-family:aops;">y</div><br />
|-<br />
| z||z || <div style="font-family:aops;">z</div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ a||A || <div style="font-family:aops;">A</div><br />
|-<br />
| Shift+ b||B || <div style="font-family:aops;">B</div><br />
|-<br />
| Shift+ c||C || <div style="font-family:aops;">C</div><br />
|-<br />
| Shift+ d||D || <div style="font-family:aops;">D</div><br />
|-<br />
| Shift+ e||E || <div style="font-family:aops;">E</div><br />
|-<br />
| Shift+ f||F || <div style="font-family:aops;">F</div><br />
|-<br />
| Shift+ g||G || <div style="font-family:aops;">G</div><br />
|-<br />
| Shift+ h||H || <div style="font-family:aops;">H</div><br />
|-<br />
| Shift+ i||I || <div style="font-family:aops;">I</div><br />
|-<br />
| Shift+ j||J || <div style="font-family:aops;">J</div><br />
|-<br />
| Shift+ k||K || <div style="font-family:aops;">K</div><br />
|-<br />
| Shift+ l||L || <div style="font-family:aops;">L</div><br />
|-<br />
| Shift+ m||M || <div style="font-family:aops;">M</div><br />
|-<br />
| Shift+ n||N || <div style="font-family:aops;">N</div><br />
|-<br />
| Shift+ o||O || <div style="font-family:aops;">O</div><br />
|-<br />
| Shift+ p||P || <div style="font-family:aops;">P</div><br />
|-<br />
| Shift+ q||Q || <div style="font-family:aops;">Q</div><br />
|-<br />
| Shift+ r||R || <div style="font-family:aops;">R</div><br />
|-<br />
| Shift+ s||S || <div style="font-family:aops;">S</div><br />
|-<br />
| Shift+ t||T || <div style="font-family:aops;">T</div><br />
|-<br />
| Shift+ u||U || <div style="font-family:aops;">U</div><br />
|-<br />
| Shift+ v||V || <div style="font-family:aops;">V</div><br />
|-<br />
| Shift+ w||W || <div style="font-family:aops;">W</div><br />
|-<br />
| Shift+ x||X || <div style="font-family:aops;">X</div><br />
|-<br />
| Shift+ y||Y || <div style="font-family:aops;">Y</div><br />
|-<br />
| Shift+ z||Z || <div style="font-family:aops;">Z</div><br />
|}<br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| 1||1 || <div style="font-family:aops;">1</div><br />
|-<br />
| 2||2 || <div style="font-family:aops;">2</div><br />
|-<br />
| 3||3 || <div style="font-family:aops;">3</div><br />
|-<br />
| 4||4 || <div style="font-family:aops;">4</div><br />
|-<br />
| 5||5 || <div style="font-family:aops;">5</div><br />
|-<br />
| 6||6 || <div style="font-family:aops;">6</div><br />
|-<br />
| 7||7 || <div style="font-family:aops;">7</div><br />
|-<br />
| 8||8 || <div style="font-family:aops;">8</div><br />
|-<br />
| 9||9 || <div style="font-family:aops;">9</div><br />
|-<br />
| 0||0 || <div style="font-family:aops;">0</div><br />
|-<br />
| -||- || <div style="font-family:aops;">-</div><br />
|-<br />
| = ||= || <div style="font-family:aops;"></div><br />
|-<br />
| [ ||[ || <div style="font-family:aops;"></div><br />
|-<br />
| ] ||] || <div style="font-family:aops;"></div><br />
|-<br />
| \ ||\ || <div style="font-family:aops;"></div><br />
|-<br />
| ; ||; || <div style="font-family:aops;">;</div><br />
|-<br />
| '||' || <div style="font-family:aops;">'</div><br />
|-<br />
| ,||, || <div style="font-family:aops;">,</div><br />
|-<br />
| .||. || <div style="font-family:aops;">.</div><br />
|-<br />
| / ||/ || <div style="font-family:aops;">/</div><br />
|-<br />
| `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ 1||! || <div style="font-family:aops;">!</div><br />
|-<br />
| Shift+ 2||@ || <div style="font-family:aops;">@</div><br />
|-<br />
| Shift+ 3||# || <div style="font-family:aops;">#</div><br />
|-<br />
| Shift+ 4|| \$ || <div style="font-family:aops;">$</div><br />
|-<br />
| Shift+ 5||% || <div style="font-family:aops;">%</div><br />
|-<br />
| Shift+ 6||^ || <div style="font-family:aops;">^</div><br />
|-<br />
| Shift+ 7||& || <div style="font-family:aops;">&</div><br />
|-<br />
| Shift+ 8||* || <div style="font-family:aops;">*</div><br />
|-<br />
| Shift+ 9||( || <div style="font-family:aops;">(</div><br />
|-<br />
| Shift+ 0||) || <div style="font-family:aops;">)</div><br />
|-<br />
| Shift+ -||_ || <div style="font-family:aops;">_</div><br />
|-<br />
| Shift+ = ||+ || <div style="font-family:aops;">+</div><br />
|-<br />
| Shift+ [ ||{ || <div style="font-family:aops;">{</div><br />
|-<br />
| Shift+ ] ||} || <div style="font-family:aops;">}</div><br />
|-<br />
| Shift+ \ ||| || <div style="font-family:aops;">|</div><br />
|-<br />
| Shift+ ; ||: || <div style="font-family:aops;">:</div><br />
|-<br />
| Shift+ '||" || <div style="font-family:aops;">"</div><br />
|-<br />
| Shift+ ,||< || <div style="font-family:aops;"><</div><br />
|-<br />
| Shift+ .||> || <div style="font-family:aops;">></div><br />
|-<br />
| Shift+ / ||? || <div style="font-family:aops;">?</div><br />
|-<br />
| Shift+ `||~ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
|Option+ a||å || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ b||∫ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ c||ç || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ d||∂ || <div style="font-family:aops;">∂</div><br />
|-<br />
|Option+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ f||ƒ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ g||© || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ h||˙ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ j||∆ || <div style="font-family:aops;">∆</div><br />
|-<br />
|Option+ k||˚ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ l||¬ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ m||µ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
|Option+ o||ø || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ p||π || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ q||œ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ r||® || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ s||ß || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ t||† || <div style="font-family:aops;">†</div><br />
|-<br />
|Option+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ v||√ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ w||∑ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ x||≈ || <div style="font-family:aops;"></div><br />
|-<br />
|Option+ y||¥ || <div style="font-family:aops;">¥</div><br />
|-<br />
|Option+ z||Ω || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Option+Shift+ a||Å || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ b||ı || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ c||Ç || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ d||Î || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ e||´ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ f||Ï || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ g||˝ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ h||Ó || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ i||ˆ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ j||Ô || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ k|| || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ l||Ò || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ m||Â || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ n||˜ || <div style="font-family:aops;">˜</div><br />
|-<br />
| Option+Shift+ o||Ø || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ p||∏ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ q||Œ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ r||‰ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ s||Í || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ t||ˇ || <div style="font-family:aops;">ˇ</div><br />
|-<br />
| Option+Shift+ u||¨ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ v||◊ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ w||„ || <div style="font-family:aops;">„</div><br />
|-<br />
| Option+Shift+ x||˛ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ y||Á || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ z||¸ || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+ 1||¡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 2||™ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 3||£ || <div style="font-family:aops;">£</div><br />
|-<br />
| Option+ 4||¢ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 5||∞ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 6||§ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 7||¶ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 8||• || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 9||ª || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ 0||º || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ -||– || <div style="font-family:aops;">–</div><br />
|-<br />
| Option+ = ||≠ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ [ ||“ || <div style="font-family:aops;">“</div><br />
|-<br />
| Option+ ] ||‘ || <div style="font-family:aops;">‘</div><br />
|-<br />
| Option+ \ ||« || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ; ||… || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ '||æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ ,||≤ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ .||≥ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ / ||÷ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+ `||` || <div style="font-family:aops;"></div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center><br />
|-<br />
| Option+Shift+ 1||⁄ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 2||€ || <div style="font-family:aops;">€</div><br />
|-<br />
| Option+Shift+ 3||‹ || <div style="font-family:aops;">‹</div><br />
|-<br />
| Option+Shift+ 4||› || <div style="font-family:aops;">›</div><br />
|-<br />
| Option+Shift+ 5||fi || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 6||fl || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 7||‡ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 8||° || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ 9||· || <div style="font-family:aops;">·</div><br />
|-<br />
| Option+Shift+ 0||‚ || <div style="font-family:aops;">‚</div><br />
|-<br />
| Option+Shift+ -||— || <div style="font-family:aops;">—</div><br />
|-<br />
| Option+Shift+ = ||± || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ [ ||” || <div style="font-family:aops;">”</div><br />
|-<br />
| Option+Shift+ ] ||’ || <div style="font-family:aops;">’</div><br />
|-<br />
| Option+Shift+ \ ||» || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ; ||Ú || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ '||Æ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ ,||¯ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ .||˘ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ / ||¿ || <div style="font-family:aops;"></div><br />
|-<br />
| Option+Shift+ `||` || <div style="font-family:aops;"></div><br />
|}</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Sonone&diff=135502
User:Sonone
2020-10-21T12:34:07Z
<p>Sonone: Created page with "<div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:32pt; font-family:compute..."</p>
<hr />
<div><div style="-moz-border-radius:5px; -webkit-border-radius:100px; border:1px #000; color:black; background-color:#e5e5e5; text-align:center; font-size:32pt; font-family:computer modern; font-weight:800px;">sonone's AoPS font index (Mac)</div><br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| a||a || <div style="font-family:aops;">a</div><br />
|-<br />
| b||b || <div style="font-family:aops;">b</div><br />
|-<br />
| c||c || <div style="font-family:aops;">c</div><br />
|-<br />
| d||d || <div style="font-family:aops;">d</div><br />
|-<br />
| e||e || <div style="font-family:aops;">e</div><br />
|-<br />
| f||f || <div style="font-family:aops;">f</div><br />
|-<br />
| g||g || <div style="font-family:aops;">g</div><br />
|-<br />
| h||h || <div style="font-family:aops;">h</div><br />
|-<br />
| i||i || <div style="font-family:aops;">i</div><br />
|-<br />
| j||j || <div style="font-family:aops;">j</div><br />
|-<br />
| k||k || <div style="font-family:aops;">k</div><br />
|-<br />
| l||l || <div style="font-family:aops;">l</div><br />
|-<br />
| m||m || <div style="font-family:aops;">m</div><br />
|-<br />
| n||n || <div style="font-family:aops;">n</div><br />
|-<br />
| o||o || <div style="font-family:aops;">o</div><br />
|-<br />
| p||p || <div style="font-family:aops;">p</div><br />
|-<br />
| q||q || <div style="font-family:aops;">q</div><br />
|-<br />
| r||r || <div style="font-family:aops;">r</div><br />
|-<br />
| s||s || <div style="font-family:aops;">s</div><br />
|-<br />
| t||t || <div style="font-family:aops;">t</div><br />
|-<br />
| u||u || <div style="font-family:aops;">u</div><br />
|-<br />
| v||v || <div style="font-family:aops;">v</div><br />
|-<br />
| w||w || <div style="font-family:aops;">w</div><br />
|-<br />
| x||x || <div style="font-family:aops;">x</div><br />
|-<br />
| y||y || <div style="font-family:aops;">y</div><br />
|-<br />
| z||z || <div style="font-family:aops;">z</div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ a||A || <div style="font-family:aops;">A</div><br />
|-<br />
| Shift+ b||B || <div style="font-family:aops;">B</div><br />
|-<br />
| Shift+ c||C || <div style="font-family:aops;">C</div><br />
|-<br />
| Shift+ d||D || <div style="font-family:aops;">D</div><br />
|-<br />
| Shift+ e||E || <div style="font-family:aops;">E</div><br />
|-<br />
| Shift+ f||F || <div style="font-family:aops;">F</div><br />
|-<br />
| Shift+ g||G || <div style="font-family:aops;">G</div><br />
|-<br />
| Shift+ h||H || <div style="font-family:aops;">H</div><br />
|-<br />
| Shift+ i||I || <div style="font-family:aops;">I</div><br />
|-<br />
| Shift+ j||J || <div style="font-family:aops;">J</div><br />
|-<br />
| Shift+ k||K || <div style="font-family:aops;">K</div><br />
|-<br />
| Shift+ l||L || <div style="font-family:aops;">L</div><br />
|-<br />
| Shift+ m||M || <div style="font-family:aops;">M</div><br />
|-<br />
| Shift+ n||N || <div style="font-family:aops;">N</div><br />
|-<br />
| Shift+ o||O || <div style="font-family:aops;">O</div><br />
|-<br />
| Shift+ p||P || <div style="font-family:aops;">P</div><br />
|-<br />
| Shift+ q||Q || <div style="font-family:aops;">Q</div><br />
|-<br />
| Shift+ r||R || <div style="font-family:aops;">R</div><br />
|-<br />
| Shift+ s||S || <div style="font-family:aops;">S</div><br />
|-<br />
| Shift+ t||T || <div style="font-family:aops;">T</div><br />
|-<br />
| Shift+ u||U || <div style="font-family:aops;">U</div><br />
|-<br />
| Shift+ v||V || <div style="font-family:aops;">V</div><br />
|-<br />
| Shift+ w||W || <div style="font-family:aops;">W</div><br />
|-<br />
| Shift+ x||X || <div style="font-family:aops;">X</div><br />
|-<br />
| Shift+ y||Y || <div style="font-family:aops;">Y</div><br />
|-<br />
| Shift+ z||Z || <div style="font-family:aops;">Z</div><br />
|}<br />
<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| 1||1 || <div style="font-family:aops;">1</div><br />
|-<br />
| 2||2 || <div style="font-family:aops;">2</div><br />
|-<br />
| 3||3 || <div style="font-family:aops;">3</div><br />
|-<br />
| 4||4 || <div style="font-family:aops;">4</div><br />
|-<br />
| 5||5 || <div style="font-family:aops;">5</div><br />
|-<br />
| 6||6 || <div style="font-family:aops;">6</div><br />
|-<br />
| 7||7 || <div style="font-family:aops;">7</div><br />
|-<br />
| 8||8 || <div style="font-family:aops;">8</div><br />
|-<br />
| 9||9 || <div style="font-family:aops;">9</div><br />
|-<br />
| 0||0 || <div style="font-family:aops;">0</div><br />
|-<br />
| -||- || <div style="font-family:aops;">-</div><br />
|-<br />
| = ||= || <div style="font-family:aops;">=</div><br />
|-<br />
| [ ||[ || <div style="font-family:aops;">[</div><br />
|-<br />
| ] ||] || <div style="font-family:aops;">]</div><br />
|-<br />
| \ ||\ || <div style="font-family:aops;">\</div><br />
|-<br />
| ; ||; || <div style="font-family:aops;">;</div><br />
|-<br />
| '||' || <div style="font-family:aops;">'</div><br />
|-<br />
| ,||, || <div style="font-family:aops;">,</div><br />
|-<br />
| .||. || <div style="font-family:aops;">.</div><br />
|-<br />
| / ||/ || <div style="font-family:aops;">/</div><br />
|-<br />
| `||` || <div style="font-family:aops;">`</div><br />
|}<br />
{|class="wikitable sortable"<br />
! data-sort-type="text"|<center>'''commands'''</center> !!<center>'''character'''</center> !! <center>'''AoPS font parallel'''</center> <br />
|-<br />
| Shift+ 1||! || <div style="font-family:aops;">!</div><br />
|-<br />
| Shift+ 2||@ || <div style="font-family:aops;">@</div><br />
|-<br />
| Shift+ 3||# || <div style="font-family:aops;">#</div><br />
|-<br />
| Shift+ 4|| \$ || <div style="font-family:aops;">$</div><br />
|-<br />
| Shift+ 5||% || <div style="font-family:aops;">%</div><br />
|-<br />
| Shift+ 6||^ || <div style="font-family:aops;">^</div><br />
|-<br />
| Shift+ 7||& || <div style="font-family:aops;">&</div><br />
|-<br />
| Shift+ 8||* || <div style="font-family:aops;">*</div><br />
|-<br />
| Shift+ 9||( || <div style="font-family:aops;">(</div><br />
|-<br />
| Shift+ 0||) || <div style="font-family:aops;">)</div><br />
|-<br />
| Shift+ -||_ || <div style="font-family:aops;">_</div><br />
|-<br />
| Shift+ = ||+ || <div style="font-family:aops;">+</div><br />
|-<br />
| Shift+ [ ||{ || <div style="font-family:aops;">{</div><br />
|-<br />
| Shift+ ] ||} || <div style="font-family:aops;">}</div><br />
|-<br />
| Shift+ \ ||| || <div style="font-family:aops;">|</div><br />
|-<br />
| Shift+ ; ||: || <div style="font-family:aops;">:</div><br />
|-<br />
| Shift+ '||" || <div style="font-family:aops;">"</div><br />
|-<br />
| Shift+ ,||< || <div style="font-family:aops;"><</div><br />
|-<br />
| Shift+ .||> || <div style="font-family:aops;">></div><br />
|-<br />
| Shift+ / ||? || <div style="font-family:aops;">?</div><br />
|-<br />
| Shift+ `||~ || <div style="font-family:aops;">~</div><br />
|}</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=135359
User:Piphi
2020-10-19T11:18:00Z
<p>Sonone: /* About Me */</p>
<hr />
<div>{{User:Piphi/Template:Header}}<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="100px">355</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">Piphi is legendary and made the USA IMO team in 2019.<br><br />
<br />
Piphi is the creator of the [[User:Piphi/Games|AoPS Wiki Games by Piphi]], the future of games on AoPS.<br><br />
<br />
Piphi started the signature trend at around May 2020.<br><br />
<br />
Piphi is an extremely OP person - LJCoder619. <br><br />
<br />
Piphi is OP --[[User:Aray10|Aray10]] ([[User talk:Aray10|talk]]) 23:22, 17 June 2020 (EDT) <br><br />
<br />
Piphi is 100 percent OP compared to the rest of us --[[User:Aops-g5-gethsemanea2|Aops-g5-gethsemanea2]] ([[User talk:Aops-g5-gethsemanea2|talk]]) 09:24, 4 September 2020 (EDT) <br><br />
<br />
According to my studies Piphi is 50 percent asymptote, 50 percent AoPS Wiki, and 100 percent fun. --[[User:CreativeHedgehog|Creativehedgehog]] ([[User talk:CreativeHedgehog|talk]]) 16:14, 19 September 2020 (EDT) <br><br />
<br />
Piphi has been very close to winning multiple [[Greed Control]] games, piphi placed 5th in game #18 and 2nd in game #19. Thanks to piphi, Greed Control games have started to be kept track of. Piphi made a spreadsheet that has all of Greed Control history [https://artofproblemsolving.com/community/c19451h2126208p15569802 here].<br><br />
<br />
Piphi also found out who won [[Reaper]] games #1 and #2 as seen [https://artofproblemsolving.com/community/c19451h1826745p15526330 here].<br><br />
<br />
Piphi has been called op by many AoPSers, including the legendary [[User:Radio2|Radio2]] himself [https://artofproblemsolving.com/community/c19451h1826745p15526800 here]. (note: Radio2 calls many users op.)<br><br />
<br />
Piphi created the [[AoPS Administrators]] page, added most of the AoPS Admins to it, and created the scrollable table.<br><br />
<br />
Piphi has also added a lot of the info that is in the [[Reaper Archives]].<br><br />
<br />
Piphi has a side-project that is making the Wiki's [[Main Page]] look better, you can check that out [[User:Piphi/AoPS Wiki|here]].<br><br />
<br />
Piphi published Greed Control Game 19 statistics [https://artofproblemsolving.com/community/c19451h2126212 here].<br />
<br />
Piphi has a post that was made an announcement on a official AoPS Forum [https://artofproblemsolving.com/community/c68h2175116 here].<br />
<br />
Piphi is a proud member of [https://artofproblemsolving.com/community/c562043 The Interuniversal GMAAS Society].<br><br />
<br />
Piphi is amazing at asymptote. [https://artofproblemsolving.com/community/user/311331 -sonone]<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px"><br />
You can check out more goals/statistics [[User:Piphi/Statistics|here]].<br />
<br />
A User Count of 500<br />
{{User:Piphi/Template:Progress_Bar|69.8|width=100%}}<br />
<br />
200 subpages of [[User:Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|63.5|width=100%}}<br />
<br />
200 signups for [[User:Piphi/Games|AoPS Wiki Games by Piphi]]<br />
{{User:Piphi/Template:Progress_Bar|46.5|width=100%}}<br />
<br />
Make 10,000 edits<br />
{{User:Piphi/Template:Progress_Bar|19.72|width=100%}}</div><br />
</div></div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Rusczyk&diff=135046
User:Rusczyk
2020-10-14T21:22:58Z
<p>Sonone: /* User Count */</p>
<hr />
<div>Rusczyk's Page:<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#4EC284"><br />
==<font color="white" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="white">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><font color="white"><br />
<center><font size="101px"><asy>label("$\textbf{"+string(rand()%100)+"}$",red);</asy></font></center><br />
</div><br />
<div style="border:2px solid black; background:#4EC284;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="white" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="white">Rusczyk is currently borderline AIME.<br><br />
<br />
Rusczyk just turned 13 years old.<br><br />
<br />
Rusczyk scored 44/46 when mocking the 2018 MATHCOUNTS State test, and got silver on the 2020 online MATHCOUNTS State held on AoPS.<br><br />
<br />
Rusczyk is a pro at maths and physics<br />
<br />
Rusczyk has come world and country #1 in various international tournaments and competitions starting from 2017<br />
<br />
I am better than Rusczyk at math<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#4EC284;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="white" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px"><font color="white"> A User Count of <math>\color{white}{\infty}</math><br />
<br />
Make AIME 2021 (Currently borderline)<br />
<br />
Pass AP Calculus AB, BC and AP Physics exam<br />
<br />
Get in the Alcumus HoF in the next 6 months<br />
<br />
Convince OlympusHero that he is better than Rusczyk (at Math)<br />
<br />
Get <math>\color{white}{2 \times}</math> medals this year as compared to what they did last year. That is <math>\color{white}{2 \times 14 = \boxed{28}}</math> which is nearly impossible.<br />
</div><br />
</div></div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Objectz&diff=134521
User:Objectz
2020-10-02T21:32:23Z
<p>Sonone: /* User Count */</p>
<hr />
<div>ObjectZ is a user on AoPS.<br />
<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#333333"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<b><center><font size="101px">4</font></center></b><br />
</div><br />
<div style="border:2px solid black; background:#666666;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black"><br />
Was sponsor for a day on the [https://artofproblemsolving.com/community/c1243722 VSA].<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#999999;-webkit-border-radius: 10px; align:center"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 50<br />
<br />
To get better at math and Asymptote<br />
</div></div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Time</div></font>==<br />
The current time is {{CURRENTDAYNAME}} {{CURRENTMONTHNAME}} {{CURRENTDAY}}, {{CURRENTYEAR}}, {{CURRENTTIME}} (UTC). Go back 4 hours to convert UTC to EST, go forward 4 hours to convert EST to UTC.<br><br />
</font></div><br />
<div style="border:2px solid black; background:#ffffff;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Subpages</div></font>==<br />
[[User:Objectz/Asymptote | Asymptote]]<br><br />
<br />
</div></div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Aops-g5-gethsemanea2&diff=133676
User:Aops-g5-gethsemanea2
2020-09-15T10:50:49Z
<p>Sonone: /* User Count */</p>
<hr />
<div><br />
{{Template:Aops-g5-gethsemanea2/Header}}<br />
<br />
{{User:CreativeHedgehog/Templates/SocialMedia}}<br />
<br />
{{shortcut|[[AGG]]}}<br />
<br />
Welcome to my user page! <br />
<br />
<br />
==About Me==<br />
Aops-g5-gethsemanea2 is just a Prealgebra 1 user who is not as legendary as Piphi. <br />
<br />
Aops-g5-gethsemanea2 is about to turn 10 on October 23.<br />
<br />
Like CreativeHedgehog, Aops-g5-gethsemanea2 is making a lot of projects on this wiki including the Wiki Math Games and his very own main page.<br />
<br />
Aops-g5-gethsemanea2 is writing a contest math book with:<br />
<br />
* Aritra12<br />
*Rusczyk (this is his username, and he is not the founder. The founder's username is rrusczyk)<br />
*Dc495<br />
*MeHateMemes<br />
*RohanQV<br />
*Mathbw225<br />
<br />
==Acknowledgements==<br />
Thanks to the following users!<br />
<br />
1. Piphi for the inspiration<br />
<br />
2. CreativeHedgehog for the social media buttons and supporting this User Page<br />
<br />
==User Count==<br />
This is my user count. Add 1 to the number below if this is your first time visiting this page. '''Remember, you must be signed in to the Art of Problem Solving Community to edit this page.'''<br />
<cmath>\Huge{\textbf{9}}</cmath><br />
<br />
[https://artofproblemsolving.com/wiki/index.php?title=User:Aops-g5-gethsemanea2&action=edit&section=3 (Edit this User Count)]<br />
<br />
[https://artofproblemsolving.com/online/?login=1 (Log in Here)]<br />
[https://artofproblemsolving.com/community/logout (Log out Here)]<br />
<br />
==Announcements==<br />
Stay up to date on the announcements on [[User:Aops-g5-gethsemanea2/AoPS Wiki|Aops-g5-gethsemanea2's Second Main Page]].<br />
<br />
==Fun Fact==<br />
There is actually a name for the numbers that is the sum of all factors below it. They are perfect numbers, and the first two are <math>6</math> and <math>28</math>.<br />
<br />
==Weekly Questions==<br />
Here are some questions that you can use to sharpen your math skills!<br />
<br />
===Weekly Question 1===<br />
'''If <math>n</math> is <math>5</math>, what is <math>10n+11n</math>?'''<br />
<br />
Discuss in the user talk.<br />
<br />
===Weekly Question 2 (SOURCE: SASMO)===<br />
'''<math>4</math> chickens can lay <math>4</math> eggs in <math>4</math> days. How many chickens are needed to get <math>100</math> eggs in <math>100</math> days?'''<br />
<br />
Discuss in the user talk.<br />
<br />
===Weekly Question 3===<br />
'''The sum of two consecutive numbers is <math>39</math>. What is their product plus their sum?'''<br />
<br />
Discuss in the user talk.<br />
<br />
===Weekly Question 4===<br />
'''Simplify <math>(12+i)i</math> where <math>i=\sqrt{-1}</math>.'''<br />
<br />
Discuss in the user talk and ''make sure you explain why.''<br />
<br />
=WARNINGS!=<br />
<br />
==WARNING 1==<br />
This wiki page will NOT work if you use a mobile device with the social media buttons.<br />
<br />
If you want it to work on a mobile device, you may put everything in a div and then align it to the center.<br />
<br />
Then make the width 50%.<br />
<br />
Example: Put the following text before every page:<br />
<br />
<nowiki><br />
<br />
<div style="position:fixed; left:50%; transform:translateX(-50%); width:50%;"><br />
<br />
</nowiki><br />
<br />
And this after it:<br />
<br />
<nowiki><br />
</div><br />
</nowiki><br />
<br />
I just didn't do that because I had 40 pages to edit that out with. [https://artofproblemsolving.com/wiki/index.php/User:CreativeHedgehog CreativeHedgehog] 22:32, 4 August 2020 (EDT)<br />
<br />
==WARNING 2==<br />
If you followed the instruction above, then it will not work this time on a computer. Remove the div at the start and the end to make it back to normal.<br />
<br />
==WARNING 3==<br />
This will only work on the Aops2 skin style. [https://artofproblemsolving.com/wiki/index.php/User:CreativeHedgehog CreativeHedgehog] 21:56, 8 August 2020 (EDT)<br />
<br />
=REMINDER=<br />
Most of these pages require you to sign in to edit the pages, especially the Wiki Math Games.</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:OlympusHero&diff=130892
User:OlympusHero
2020-08-07T00:49:35Z
<p>Sonone: /* User Count */</p>
<hr />
<div>OlympusHero's Page:<br />
<br><br />
__NOTOC__<div style="border:2px solid black; -webkit-border-radius: 10px; background:#dddddd"><br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">User Count</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">If this is your first time visiting this page, edit it by incrementing the user count below by one.</font></div><br />
<center><font size="101px">33</font></center><br />
</div><br />
<div style="border:2px solid black; background:#cccccc;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">About Me</div></font>==<br />
<div style="margin-left: 10px; margin-bottom:10px"><font color="black">OlympusHero is currently borderline AIME.<br><br />
<br />
OlympusHero is 10 years old.<br><br />
<br />
OlympusHero scored 38/46 when mocking the 2019 MATHCOUNTS State test, and got silver on the 2020 online MATHCOUNTS State.<br><br />
<br />
OlympusHero is a pro at maths and chess<br />
<br />
OlympusHero for black mop 2026<br />
<br />
OlympusHero was #1 at the 2017 Chess World Cadets U8 (He was 7 years old)<br />
<br />
OlympusHero is pro<br />
</font></div><br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb;-webkit-border-radius: 10px; align:center"><br />
<br />
==<font color="black" style="font-family: ITC Avant Garde Gothic Std, Verdana"><div style="margin-left:10px">Goals</div></font>==<br />
<div style="margin-left: 10px; margin-right: 10px; margin-bottom:10px">A User Count of 300<br />
<br />
Make AIME 2021 (Currently borderline)<br />
<br />
Get 5 or more on AIME I 2021 (Mocked a 3 on the 2020 AIME I a few months ago)<br />
<br />
Get to 40 or more on the MATHCOUNTS Trainer Nationals Level (25/40)<br />
</div><br />
</div></div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=User:Piphi&diff=121851
User:Piphi
2020-04-30T18:12:57Z
<p>Sonone: /* User Count */</p>
<hr />
<div><center>[[File:Piphi-Avatar.png]]</center><br />
<br />
<div style="border:2px solid black; background:#eeeeee;"><br />
::::<font style="font-family: Verdana, sans-serif">[[User:Piphi|Userpage]] | [[User talk:Piphi|Talk]] | [[Special:Contributions/Piphi|Contributions]]</font><br />
</div><br />
<div style="border:2px solid black; background:#dddddd; align:center"><br />
==<font color="black" style="font-family: MV Boli, Verdana">User Count</font>==<br />
<font color="black">If this is your first time visting this page, edit it by incrementing the user count below by one.<br />
<br />
<center><font size="100px">22</font></center><br />
</font> <br />
</div><br />
<div style="border:2px solid black; background:#cccccc; align:center"><br />
<br />
==<font color="black" style="font-family: MV Boli, Verdana">About Me</font>==<br />
<font color="black">PM me if you want to find out about some cool things you can do with the AoPS wiki.<br />
<br />
My main project on the AoPS wiki is [[AoPS_Administrators#List_of_Admins | a list of all the AoPS admins]], everyone is welcome to add more admins to the list by clicking [https://artofproblemsolving.com/wiki/index.php?title=AoPS_Administrators&action=edit&section=1 here]. I also added most of the info in the [[Reaper Archives]].</font> <br />
</div><br />
<div style="border:2px solid black; background:#bbbbbb; align:center"><br />
<br />
==<font color="black" style="font-family: MV Boli, Verdana">Asymptote</font>==<br />
<br />
Here is a list of the different drawings I have made using Asymptote.<br />
<br />
* [[User:Piphi/Firefox | Firefox Logo]]<br />
* [[User:Piphi/Eclipse | Eclipse Logo]]<br />
* [[User:Piphi/Screencast| Screencast Logo]]</div>
Sonone
https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&diff=120567
LaTeX:Symbols
2020-04-05T16:43:48Z
<p>Sonone: /* Command Symbols */</p>
<hr />
<div>{{Latex}}<br />
<br />
This article will provide a short list of commonly used LaTeX symbols. <br />
<br />
== Finding Other Symbols ==<br />
<br />
Here are some external resources for finding less commonly used symbols:<br />
<ul><br />
<li><br />
[http://detexify.kirelabs.org/classify.html Detexify] is an app which allows you to draw the symbol you'd like and shows you the <math>\text{\LaTeX}</math> code for it!<br />
<br/><br/></li><br />
<br />
<li><br />
MathJax (what allows us to use <math>\text{\LaTeX}</math> on the web, (technically an AJAX library simulating it.)) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].<br />
<br/><br/></li><br />
<br />
<li><br />
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].<br />
<br/><br/></li><br />
</ul><br />
<br />
-------------------------------------------------------------------------------------------------------------<br />
<br />
==Operators==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\pm</math>||\pm||<math>\mp</math>||\mp||<math>\times</math>||\times<br />
|-<br />
|<math>\div</math>||\div||<math>\cdot</math>||\cdot||<math>\ast</math>||\ast<br />
|-<br />
|<math>\star</math>||\star||<math>\dagger</math>||\dagger||<math>\ddagger</math>||\ddagger<br />
|-<br />
|<math>\amalg</math>||\amalg||<math>\cap</math>||\cap||<math>\cup</math>||\cup<br />
|-<br />
|<math>\uplus</math>||\uplus||<math>\sqcap</math>||\sqcap||<math>\sqcup</math>||\sqcup<br />
|-<br />
|<math>\vee</math>||\vee||<math>\wedge</math>||\wedge||<math>\oplus</math>||\oplus<br />
|-<br />
|<math>\ominus</math>||\ominus||<math>\otimes</math>||\otimes||<math>\circ</math>||\circ<br />
|-<br />
|<math>\bullet</math>||\bullet||<math>\diamond</math>||\diamond||<math>\lhd</math>||\lhd<br />
|-<br />
|<math>\rhd</math>||\rhd||<math>\unlhd</math>||\unlhd||<math>\unrhd</math>||\unrhd<br />
|-<br />
|<math>\oslash</math>||\oslash||<math>\odot</math>||\odot||<math>\bigcirc</math>||\bigcirc<br />
|-<br />
|<math>\triangleleft</math>||\triangleleft||<math>\Diamond</math>||\Diamond||<math>\bigtriangleup</math>||\bigtriangleup<br />
|-<br />
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright<br />
|-<br />
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}<br />
|-<br />
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}<br />
|-<br />
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}||<math>a_x</math>||a_x<br />
|}<br />
<br />
==Relations==<br />
{| class="latextable"<br />
!Symbol !! Command !!Symbol !! Command!!Symbol !! Command<br />
|-<br />
| <math>\le</math>||\le||<math>\ge</math>||\ge||<math>\neq</math>||\neq<br />
|-<br />
| <math>\sim</math>||\sim||<math>\ll</math>||\ll||<math>\gg</math>||\gg<br />
|-<br />
| <math>\doteq</math>||\doteq||<math>\simeq</math>||\simeq||<math>\subset</math>||\subset<br />
|-<br />
| <math>\supset</math>||\supset||<math>\approx</math>||\approx||<math>\asymp</math>||\asymp<br />
|-<br />
| <math>\subseteq</math>||\subseteq||<math>\supseteq</math>||\supseteq||<math>\cong</math>||\cong<br />
|-<br />
| <math>\smile</math>||\smile||<math>\sqsubset</math>||\sqsubset||<math>\sqsupset</math>||\sqsupset<br />
|-<br />
| <math>\equiv</math>||\equiv||<math>\frown</math>||\frown||<math>\sqsubseteq</math>||\sqsubseteq<br />
|-<br />
| <math>\sqsupseteq</math>||\sqsupseteq||<math>\propto</math>||\propto||<math>\bowtie</math>||\bowtie<br />
|-<br />
| <math>\in</math>||\in||<math>\ni</math>||\ni||<math>\prec</math>||\prec<br />
|-<br />
| <math>\succ</math>||\succ||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models<br />
|-<br />
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel||<br />
|-<br />
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||<br />
|}<br />
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a couple examples, plus many other negations; it works for many of the many others as well.<br />
<br />
{| class="latextable"}<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\nmid</math>||\nmid||<math>\nleq</math>||\nleq||<math>\ngeq</math>||\ngeq<br />
|-<br />
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel<br />
|-<br />
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not= or \neq<br />
|-<br />
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim<br />
|-<br />
|<math>\not \approx</math>||\not\approx||<math>\not\cong</math>||\not\cong||<math>\not\equiv</math>||\not\equiv<br />
|-<br />
| <math>\not\parallel</math>||\not\parallel||<math>\nless</math>||\nless||<math>\ngtr</math>||\ngtr<br />
|-<br />
| <math>\lneq</math>||\lneq||<math>\gneq</math>||\gneq||<math>\lnsim</math>||\lnsim<br />
|-<br />
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq<br />
|}<br />
<br />
To use other relations not listed here, such as =, >, and <, in LaTeX, you must use the symbols on your keyboard, they are not available in <math>\LaTeX</math>.<br />
<br />
==Greek Letters==<br />
{| class="latextable"<br />
|+ Lowercase Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math>||\delta<br />
|-<br />
| <math>\epsilon</math>||\epsilon||<math>\varepsilon</math>||\varepsilon||<math>\zeta</math>||\zeta||<math>\eta</math>||\eta<br />
|-<br />
| <math>\theta</math>||\theta||<math>\vartheta</math>||\vartheta||<math>\iota</math>||\iota||<math>\kappa</math>||\kappa<br />
|-<br />
| <math>\lambda</math>||\lambda||<math>\mu</math>||\mu||<math>\nu</math>||\nu||<math>\xi</math>||\xi<br />
|-<br />
|<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math>||\varrho<br />
|-<br />
| <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon</math>||\upsilon<br />
|-<br />
| <math>\phi</math>||\phi||<math>\varphi</math>||\varphi||<math>\chi</math>||\chi||<math>\psi</math>||\psi<br />
|-<br />
| <math>\omega</math>||\omega<br />
|}<br />
<br />
<br />
{| class="latextable"<br />
|+ Capital Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\Gamma</math>||\Gamma||<math>\Delta</math>||\Delta||<math>\Theta</math>||\Theta||<math>\Lambda</math>||\Lambda<br />
|-<br />
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon<br />
|-<br />
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega<br />
|}<br />
<br />
<br />
== Arrows ==<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\gets</math>||\gets||<math>\to</math>||\to<br />
|-<br />
|<math>\leftarrow</math>||\leftarrow||<math>\Leftarrow</math>||\Leftarrow<br />
|-<br />
|<math>\rightarrow</math>||\rightarrow||<math>\Rightarrow</math>||\Rightarrow<br />
|-<br />
|<math>\leftrightarrow</math>||\leftrightarrow||<math>\Leftrightarrow</math>||\Leftrightarrow<br />
|-<br />
|<math>\mapsto</math>||\mapsto||<math>\hookleftarrow</math>||\hookleftarrow<br />
|-<br />
|<math>\leftharpoonup</math>||\leftharpoonup||<math>\leftharpoondown</math>||\leftharpoondown<br />
|-<br />
|<math>\rightleftharpoons</math>||\rightleftharpoons||<math>\longleftarrow</math>||\longleftarrow<br />
|-<br />
|<math>\Longleftarrow</math>||\Longleftarrow||<math>\longrightarrow</math>||\longrightarrow<br />
|-<br />
|<math>\Longrightarrow</math>||\Longrightarrow||<math>\longleftrightarrow</math>||\longleftrightarrow<br />
|-<br />
|<math>\Longleftrightarrow</math>||\Longleftrightarrow||<math>\longmapsto</math>||\longmapsto<br />
|-<br />
|<math>\hookrightarrow</math>||\hookrightarrow||<math>\rightharpoonup</math>||\rightharpoonup<br />
|-<br />
|<math>\rightharpoondown</math>||\rightharpoondown||<math>\leadsto</math>||\leadsto<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\Uparrow</math>||\Uparrow<br />
|-<br />
|<math>\downarrow</math>||\downarrow||<math>\Downarrow</math>||\Downarrow<br />
|-<br />
|<math>\updownarrow</math>||\updownarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|-<br />
|<math>\nearrow</math>||\nearrow||<math>\searrow</math>||\searrow<br />
|-<br />
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow<br />
|}<br />
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)<br />
<br />
==Dots==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!<br />
|- <br />
|<math>\cdot</math>||\cdot|| |<math>\vdots</math>||\vdots|| <br />
|- <br />
|<math>\dots</math>||\dots|| |<math>\ddots</math>||\ddots||<br />
|-<br />
|<math>\cdots</math>||\cdots|| |<math>\iddots</math>||\iddots||<br />
<br />
|}<br />
<br />
==Accents==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}<br />
|-<br />
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}<br />
|-<br />
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}<br />
|-<br />
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}<br />
|}<br />
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}<br />
|}<br />
\tilde and \hat have wide versions that allow you to accent an expression:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}<br />
|}<br />
<br />
==Others==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command <br />
|-<br />
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle<br />
|-<br />
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath<br />
|-<br />
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp<br />
|-<br />
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho<br />
|-<br />
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla<br />
|-<br />
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top<br />
|-<br />
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg<br />
|-<br />
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp<br />
|-<br />
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond<br />
|-<br />
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit<br />
|-<br />
|[[Image:Spadesuit.gif]]||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare<br />
|-<br />
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\copyright</math>||\copyright<br />
|-<br />
|<math>\pounds</math>||\pounds||<math>\overarc{ABC}</math>||\overarc{ABC}||<math>\underarc{XYZ}</math>||\underarc{XYZ}<br />
|-<br />
|<math>\bigstar</math>||\bigstar||<math>\in</math>||\in||<math>\cup</math>||\cup<br />
|-<br />
|<math>\square</math>||\square||<br />
|-<br />
|<math>\smiley</math>||\smiley||<br />
|-<br />
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||<br />
|-<br />
|<math>\checkmark</math>||\checkmark||<br />
|-<br />
|<math>\cancer</math>||\cancer||<br />
|}<br />
<br />
==Command Symbols==<br />
Some symbols are used in commands so they need to be treated in a special way.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\textdollar</math>||\textdollar or \\$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#<br />
|-<br />
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash<br />
|}<br />
<br />
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)<br />
<br />
==European Language Symbols==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}<br />
|-<br />
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}<br />
|-<br />
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`<br />
|-<br />
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||<br />
|}<br />
<br />
==Bracketing Symbols==<br />
In mathematics, sometimes we need to enclose expressions in brackets or braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki><br />
|-<br />
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor<br />
|-<br />
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle<br />
|-<br />
| <math>\rangle</math>||\rangle<br />
|}<br />
You might notice that if you use any of these to typeset an expression that is vertically large, like<br />
<br />
:<tt>(\frac{a}{x} )^2</tt><br />
<br />
the parentheses don't come out the right size:<br />
<br />
:<math>(\frac{a}{x})^2</math><br />
<br />
If we put \left and \right before the relevant parentheses, we get a prettier expression:<br />
<br />
:<tt>\left(\frac{a}{x} \right)^2</tt><br />
<br />
gives<br />
<br />
:<math>\left(\frac{a}{x} \right)^2</math><br />
<br />
And with system of equations:<br />
<br />
<tt>\left\{\begin{array}{l}x+y=3\\2x+y=5\end{array}\right.</tt><br />
<br />
Gives<br />
<br />
<math>\left\{\begin{array}{l}x+y=3\\2x+y=5\end{array}\right.</math><br />
<br />
See that there's a dot after <tt>\right</tt>. You must put that dot or the code won't work.<br />
<br />
<br />
In addition to the <tt>\left</tt> and <tt>\right</tt> commands, when doing floor or ceiling functions with fractions, using <br />
<br />
<tt>\left\lceil\frac{x}{y}\right\rceil</tt> <br />
<br />
and <tt>\left\lfloor\frac{x}{y}\right\rfloor </tt><br />
<br />
give both <math>\left\lceil\frac{x}{y}\right\rceil\text{ and }\left\lfloor\frac{x}{y}\right\rfloor\text{, respectively.}</math><br />
<br />
<br />
And, if you type this<br />
<br />
<tt>\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}</tt><br />
<br />
Gives<br />
<br />
<math>\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}</math><br />
<br />
Or<br />
<br />
<tt>\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}</tt><br />
<br />
Gives<br />
<br />
<math>\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}</math><br />
<br />
<br />
\left and \right can also be used to resize the following symbols:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow<br />
|-<br />
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|}<br />
<br />
==Multi-Size Symbols==<br />
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.<br />
<br />
In each of the following, the two images show the symbol in display mode, then in inline mode.<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\sum \textstyle\sum</math>||\sum||<math>\int \textstyle\int</math>||\int||<math>\oint \textstyle\oint</math>||\oint<br />
|-<br />
|<math>\prod \textstyle\prod</math>||\prod||<math>\coprod \textstyle\coprod</math>||\coprod||<math>\bigcap \textstyle\bigcap</math>||\bigcap<br />
|-<br />
|<math>\bigcup \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee \textstyle\bigvee</math>||\bigvee<br />
|-<br />
|<math>\bigwedge \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot \textstyle\bigodot</math>||\bigodot||<math>\bigotimes \textstyle\bigotimes</math>||\bigotimes<br />
|-<br />
|<math>\bigoplus \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus \textstyle\biguplus</math>||\biguplus<br />
|}<br />
<br />
==See Also==<br />
*[[LaTeX:Commands | Next: Commands]]</div>
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