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5 changes: 4 additions & 1 deletion Math Poster Complete.tex
Original file line number Diff line number Diff line change
Expand Up @@ -554,6 +554,7 @@
\text{Curvature Proof}
\end{gather*}
\begin{alignat}{2}
\setcounter{equation}{0}
T=\frac{r'}{|r'|} &\quad &\text{Definition}
\\
|r'|=\frac{ds}{dt} &\quad &s(t)=\int_a^t|r'(u)|du\text{, First Theorem of Calculus}
Expand Down Expand Up @@ -583,6 +584,7 @@
\text{Tangential and Normal Components of Acceleration}
\end{gather*}
\begin{alignat}{2}
\setcounter{equation}{0}
v=|\Vec{\text{v}}(t)| &\quad &\text{Definition}
\\
\Vec{T}(t)=\frac{\Vec{r'}(t)}{|\Vec{r'}(t)|}=\frac{\Vec{\text{v}}(t)}{|\Vec{\text{v}}(t)}=\frac{\Vec{\text{v}}}{v} &\quad &\text{Definition, }r'(t)=v(t)
Expand All @@ -608,6 +610,7 @@
\text{Normal Component of Acceleration}
\end{gather*}
\begin{alignat}{2}
\setcounter{equation}{0}
\Vec{a}=v'\Vec{T}+\kappa v^2\Vec{N} &\quad &\text{Definition}
\\
\Vec{\text{v}}=v\Vec{T} &\quad &\text{Definition}
Expand All @@ -624,4 +627,4 @@
\\
a_n=\frac{|r'(t)\times r''(t)|}{|r'(t)|} &\quad &\text{7, Algebra}
\end{alignat}
\end{document}
\end{document}