# Plotting the Lorentz Constant in LaTeX

I'm having trouble producing a graph of the Lorentz constant, defined by

\frac{1}{\sqrt{1 - v^2/c^2}$ as a function of $v$. (Here, $c$=$3 * 10^8$). I tried many examples, but I usually get "dimensions too large." Any help is appreciated. I want the plot to show the vertical asymptote as v^2 approaches c^2. • Please don't use dollar signs, i.e. $$...$$ to show math expressions. Instead, use . We are not in Math.SE :P. – manooooh Sep 4 '18 at 4:20 • Just a physics note: Indeed, as @marmot noticed, it doens't really make sense to call it the Lorentz 'contant' - usually it is called the Lorentz factor, or the gamma factor (as it is most often written as a lowercase gamma). – Bobson Dugnutt Sep 4 '18 at 7:37 ## 1 Answer Well, if this was a constant, it would not really be worth plotting, would it? I use natural units in which$\hbar=c=1$. To show that units do not matter, I am labeling the x-axis v/c. \documentclass[tikz,margin=3.14mm]{standalone} \usepackage{pgfplots} \pgfplotsset{compat=1.16} \begin{document} \begin{tikzpicture}[declare function={Lorentz(\x,\c)=1/sqrt(1-(\x/\c)*(\x/\c));}] \begin{axis}[ymax=pi,ylabel={$\gamma$},xlabel={$v/c\$}]
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