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Terris Becker edited untitled.tex
about 8 years ago
Commit id: 1008e214acd966b97f444fb865f61643e9023609
deletions | additions
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index 83ac49f..194cd48 100644
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
$+$&$\bar4$&$\bar3$&$\bar2$&$\bar1$&$0$&$1$&$2$&$3$&$4$&$5$& {\bf Name}&Adam&Ben&Veva&Jason&Bethany&Terris&Travis&Robert&Riley&Amy&Raul \\
\hline
$\bar4$&$\bar3$&$\bar2$&$\bar1$&$0$&$1$&$2$&$3$&$4$&$5$& rectangular&$\pi + ei$&$-1$&$3+6i$&$(e^{0}-1)+0i$&$1+i$&$3i$&$1-\sqrt{2}i$&$1$&$\color{red}{42}$&$\sqrt{2}+i/2$&$9+9i$&\\
\hline
polar&$4.154e^{0.7133i}$&$e^{i\pi}$&$\sqrt{45}e^{1.107i}$&$0 \textit{e}^0$&$\sqrt{2}e^{\frac{i\pi}{4}}$&$3e^{i\pi/2}$&$\sqrt{3}e^{-0.684719 i}$&$1$&$\color{pink}{42e^{2i\pi}}$&$\frac {3}{2} e^{0.3398 i}$&$\sqrt{162}e^{\frac{\pi}{4}i}$\\
\hline
$z+1$&$\pi +1+ei$&0&$4+6i$&$1+0i$&$2+i$&$1+3i$&$2-\sqrt{2}i$&$2$&$\color{orange}{43}$&$1+\sqrt{2} + \frac i{2}$&\\
\hline
$z+2-i$&$\pi +2+(e-1)i$&$1-i$&$5+5i$&$2-i$&$3$&$2+2i$&$3-(\sqrt{2}-1)i$&$3-i$&$\color{tan}{44-i}$&$2+\sqrt{2} - \frac i{2}$&\\
\hline
$2z$&$2\pi+2ei$& $-2$ &$6+12i$&$0+0i$&$2+2i$&$6i$&$2-2\sqrt{2}i$&$2$&$\color{salmon}{84}$&$2 \sqrt{2} + i$&\\
\hline
$-z$&$-\pi -ei$& $1$ &$-3-6i$&$-0-0i$&$-1-i$&$-3i$&$-1+\sqrt{2}i$&$-1$&$\color{limegreen}{-42}$&$-\sqrt{2} - \frac i{2}$&\\
\hline
$\frac z2$&$\frac{\pi}{2}+\frac{e}{2}$& $\frac 12 e^{\pi i}$&$\frac{3}{2}+3i$&$\frac{0+0i}{2}$&$\frac{1}{2}+\frac{1}{2}i$&$\frac{3}{2}i$&$\frac{1}{2}-\frac{\sqrt{2}}{2}i$&$\frac{1}{2}$&$\color{green}{21}$&$\frac {\sqrt{2}}{2} + \frac i{4}$&\\
\hline
$iz$&$-e+\pi i$& $-i$ &$3i-6$&$i(0+0i)$&$-1+i$&$-3$&$\sqrt{2}-i$&$i$&$\color{aquamarine}{42i}$&$-\frac {1}{2} + \sqrt{2} i$&\\
\hline
$\overline z$&$\pi-ei$& $-1$ &$3-6i$&$0-0i$&$1-i$&$-3i$&$1+\sqrt{2}i$&$1$&$\color{turquoise}{42}$&$\sqrt{2} -\frac i{2}$&\\
\hline
$z^2$&$17.255e^{1.4266i}$& $1$ &$45e^{2.214i}$&$(0+0i)^2$&$2i$&$-9$&$-1-2\sqrt{2}i$&$1$&$\color{yellowgreen}{1764}$&$\frac {9}{4}e^{i 0.68}$&\\
\hline
$\operatorname{Re}(z)$&$\pi$& $-1$ &$3$&$0$&$1$&$0$&$1$&$1$&$\color{blue}{42}$&$\sqrt{2}$&\\
\hline
$\operatorname{Im}(z)$&$e$& $0$ &$6$&$0$&$1$&$3$&$\sqrt{2}$&$0$&$\color{cyan}{0}$&$\frac {1}{2}$&\\
\hline
$i\operatorname{Im}(z)$&$ei$& $0$ &$6i$&$0i$&$1$&$i3$&$\sqrt{2}i$&$0$&$\color{blueviolet}{0}$&$\frac i{2}$&\\
\hline
$|z|$&$4.154$& $1$ &$\sqrt{45}$&$0$&$\sqrt{2}$&$3$&$\sqrt{3}$&$1$&$\color{violet}{42}$&$\frac{3}{2}$&\\
\hline
$\frac 1z$&$.2407e^{\frac{-\pi i}{4}}$& $-1$ &$\frac{1}{15}-\frac{2}{15}i$&undefined&$\frac{1-i}{2}$&$\frac{1}{3}e^{\frac{\pi}{2}i}$&$\frac{1+\sqrt{2}i}{3}$&$1$&$\color{purple}{\frac {1}{42}}$&$\frac {2}{3}e^{i 0.3398}$&\\
\hline
\end{tabular}