Difference between revisions of "User:Johnxyz1"
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− | Below are some stuff I am doing to practice <math>\LaTeX</math> | + | Favorite topic: <cmath>\text{Counting \& Probability}</cmath>which I am reading AOPS intermediate book on |
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+ | Favorite color: <cmath>\text{\textcolor{green}{Green}}</cmath> | ||
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+ | Favorite software: <cmath>MS\ \text{Excel}</cmath> | ||
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+ | Favorite Typesetting Software: <cmath>\text{\LaTeX}</cmath> | ||
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+ | Below are some stuff I am doing to practice <math>\text{\LaTeX}</math>. That does not mean I know all of it (actually the only ones I do not know yet is the cubic one and the <math>e^{i\pi}</math> one) | ||
<cmath>\text{If }ax^2+bx+c=0\text{, then }x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</cmath> | <cmath>\text{If }ax^2+bx+c=0\text{, then }x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</cmath> | ||
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<cmath>\begin{align*} | <cmath>\begin{align*} | ||
x &= \sqrt[3]{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right) + \sqrt{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right)^2 + \left(\frac{c}{3a} - \frac{b^2}{9a^2}\right)^3}} \\ | x &= \sqrt[3]{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right) + \sqrt{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right)^2 + \left(\frac{c}{3a} - \frac{b^2}{9a^2}\right)^3}} \\ | ||
− | &+ \sqrt[3]{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right) - \sqrt{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right)^2 + \left(\frac{c}{3a} - \frac{b^2}{9a^2}\right)^3}} - \frac{b}{3a} \\ | + | & + \sqrt[3]{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right) - \sqrt{\left(\frac{-b^3}{27a^3} + \frac{bc}{6a^2} - \frac{d}{2a}\right)^2 + \left(\frac{c}{3a} - \frac{b^2}{9a^2}\right)^3}} - \frac{b}{3a} \\ |
− | &\text{(I copied it from another website but I typeset it myself; I am pretty sure those are not copyrightable. I still need \textit{years} to understand this.)} | + | &\text{(I copied it from another website but I typeset it myself;}\\ |
+ | &\text{I am pretty sure those are not copyrightable. I still need \textit{years} to even understand this.)}\\ | ||
+ | &\text{This is the cubic formula, although it is \textit{rarely} actually used and memorized a lot. The equation is}\\ | ||
+ | &ax^3+bx^2+cx+d=0 | ||
\end{align*} | \end{align*} | ||
</cmath> | </cmath> | ||
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+ | Source code for equations: | ||
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+ | https://1drv.ms/t/c/c49430eefdbfaa19/EQw12iwklslElg9_nCMh0f0BVthxSSl-BOJAwsXtGbbhPg?e=1LfZJm |
Latest revision as of 13:16, 22 June 2024
Favorite topic: which I am reading AOPS intermediate book on
Favorite color:
Favorite software:
Favorite Typesetting Software:
Below are some stuff I am doing to practice . That does not mean I know all of it (actually the only ones I do not know yet is the cubic one and the
one)
Source code for equations:
https://1drv.ms/t/c/c49430eefdbfaa19/EQw12iwklslElg9_nCMh0f0BVthxSSl-BOJAwsXtGbbhPg?e=1LfZJm