Plotting the Lorentz Constant in LaTeX
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I'm having trouble producing a graph of the Lorentz constant, defined by
frac1{sqrt1 - 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.
tikz-pgf plot physics
asked Sep 4 at 4:12
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1313
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up vote
5
down vote
favorite
I'm having trouble producing a graph of the Lorentz constant, defined by
frac1{sqrt1 - 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.
tikz-pgf plot physics
asked Sep 4 at 4:12
Hat
1313
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 at 4:20
5
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 at 7:37
add a comment |Â
up vote
5
down vote
favorite
up vote
5
down vote
favorite
I'm having trouble producing a graph of the Lorentz constant, defined by
frac1{sqrt1 - 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.
tikz-pgf plot physics
asked Sep 4 at 4:12
Hat
1313
I'm having trouble producing a graph of the Lorentz constant, defined by
frac1{sqrt1 - 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.
tikz-pgf plot physics
tikz-pgf plot physics
asked Sep 4 at 4:12
Hat
1313
asked Sep 4 at 4:12
Hat
1313
edited Sep 4 at 4:32
asked Sep 4 at 4:12
Hat
1313
asked Sep 4 at 4:12
Hat
1313
asked Sep 4 at 4:12
Hat
1313
1313
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 at 4:20
5
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 at 7:37
add a comment |Â
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 at 4:20
5
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 at 7:37
2
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 at 4:20
Please don't use dollar signs, i.e.
$$...$$ to show math expressions. Instead, use ```. We are not in Math.SE :P.– manooooh
Sep 4 at 4:20
5
5
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 at 7:37
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 at 7:37
add a comment |Â
1 Answer
1
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votes
up vote
12
down vote
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
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=Lorentz(x,c)=1/sqrt(1-(x/c)*(x/c));]
beginaxis[ymax=pi,ylabel=$gamma$,xlabel=$v/c$]
addplot[blue,domain=0:1,samples=100] Lorentz(x,1);
endaxis
endtikzpicture
enddocument
answered Sep 4 at 4:36
marmot
58k462124
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
12
down vote
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
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=Lorentz(x,c)=1/sqrt(1-(x/c)*(x/c));]
beginaxis[ymax=pi,ylabel=$gamma$,xlabel=$v/c$]
addplot[blue,domain=0:1,samples=100] Lorentz(x,1);
endaxis
endtikzpicture
enddocument
answered Sep 4 at 4:36
marmot
58k462124
add a comment |Â
up vote
12
down vote
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
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=Lorentz(x,c)=1/sqrt(1-(x/c)*(x/c));]
beginaxis[ymax=pi,ylabel=$gamma$,xlabel=$v/c$]
addplot[blue,domain=0:1,samples=100] Lorentz(x,1);
endaxis
endtikzpicture
enddocument
answered Sep 4 at 4:36
marmot
58k462124
add a comment |Â
up vote
12
down vote
up vote
12
down vote
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
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=Lorentz(x,c)=1/sqrt(1-(x/c)*(x/c));]
beginaxis[ymax=pi,ylabel=$gamma$,xlabel=$v/c$]
addplot[blue,domain=0:1,samples=100] Lorentz(x,1);
endaxis
endtikzpicture
enddocument
answered Sep 4 at 4:36
marmot
58k462124
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
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[declare function=Lorentz(x,c)=1/sqrt(1-(x/c)*(x/c));]
beginaxis[ymax=pi,ylabel=$gamma$,xlabel=$v/c$]
addplot[blue,domain=0:1,samples=100] Lorentz(x,1);
endaxis
endtikzpicture
enddocument
answered Sep 4 at 4:36
marmot
58k462124
answered Sep 4 at 4:36
marmot
58k462124
answered Sep 4 at 4:36
marmot
58k462124
answered Sep 4 at 4:36
marmot
58k462124
58k462124
add a comment |Â
add a comment |Â
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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 at 4:20
5
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 at 7:37