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Plotting a bump function
plotting two time series with boundsGrouped bar chartHow do i get the x axis on top but keep a line on the bottomTikZ: Drawing an arc from an intersection to an intersectionHow to prevent rounded and duplicated tick labels in pgfplots with fixed precision?How to hide empty (value 0) ybars with pgfplots?Show mark labels near marks and not centered in ybar interaval graphpgfplots: percentage in matrix plotCenter the axes in the coordinate originaxis ticks labels are unreadable too close
I would like to plot a bump function in a similar way as its done in Loring W. Tu's Book 'An introduction to Manifolds' (page 129, fig. 13.4), however it never quite works the way I want. Here is my MWE:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:0, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=0:1, thick, label={x}]
plot (x, { exp( -1/x)/(exp (-1/x)+exp(1/(x-1))) });
addplot[black, thick, samples=100, smooth, domain=1:2]
plot (x, {1} );
end{axis}
end{tikzpicture}
end{document}
My main problem with this result is, that the "plateau" is already attained before x=1, which really doesn't look like it's right. Changing sample sizes to higher than 100 will immediately yield dimension errors. Any tips?
tikz-pgf pgfplots
asked 3 hours ago
rhodeltarhodelta
132
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rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
I would like to plot a bump function in a similar way as its done in Loring W. Tu's Book 'An introduction to Manifolds' (page 129, fig. 13.4), however it never quite works the way I want. Here is my MWE:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:0, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=0:1, thick, label={x}]
plot (x, { exp( -1/x)/(exp (-1/x)+exp(1/(x-1))) });
addplot[black, thick, samples=100, smooth, domain=1:2]
plot (x, {1} );
end{axis}
end{tikzpicture}
end{document}
My main problem with this result is, that the "plateau" is already attained before x=1, which really doesn't look like it's right. Changing sample sizes to higher than 100 will immediately yield dimension errors. Any tips?
tikz-pgf pgfplots
asked 3 hours ago
rhodeltarhodelta
132
New contributor
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
I would like to plot a bump function in a similar way as its done in Loring W. Tu's Book 'An introduction to Manifolds' (page 129, fig. 13.4), however it never quite works the way I want. Here is my MWE:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:0, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=0:1, thick, label={x}]
plot (x, { exp( -1/x)/(exp (-1/x)+exp(1/(x-1))) });
addplot[black, thick, samples=100, smooth, domain=1:2]
plot (x, {1} );
end{axis}
end{tikzpicture}
end{document}
My main problem with this result is, that the "plateau" is already attained before x=1, which really doesn't look like it's right. Changing sample sizes to higher than 100 will immediately yield dimension errors. Any tips?
tikz-pgf pgfplots
asked 3 hours ago
rhodeltarhodelta
132
New contributor
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I would like to plot a bump function in a similar way as its done in Loring W. Tu's Book 'An introduction to Manifolds' (page 129, fig. 13.4), however it never quite works the way I want. Here is my MWE:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:0, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=0:1, thick, label={x}]
plot (x, { exp( -1/x)/(exp (-1/x)+exp(1/(x-1))) });
addplot[black, thick, samples=100, smooth, domain=1:2]
plot (x, {1} );
end{axis}
end{tikzpicture}
end{document}
My main problem with this result is, that the "plateau" is already attained before x=1, which really doesn't look like it's right. Changing sample sizes to higher than 100 will immediately yield dimension errors. Any tips?
tikz-pgf pgfplots
tikz-pgf pgfplots
asked 3 hours ago
rhodeltarhodelta
132
New contributor
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 3 hours ago
rhodeltarhodelta
132
New contributor
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 3 hours ago
rhodeltarhodelta
132
New contributor
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 3 hours ago
rhodeltarhodelta
132
asked 3 hours ago
rhodeltarhodelta
132
132
New contributor
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
rhodelta is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
Welcome to TeX.SE! I do not have that book but often people use tanh for that.
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(5*(x-0.5)))});
end{axis}
end{tikzpicture}
end{document}
Of course, you can vary the width of the step by playing with the prefactor, which is 5 above.
documentclass[border=10pt,tikz]{standalone}
usepackage{pgfplots}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
foreach X in {2,2.2,...,6,5.8,5.6,...,2.2}
{begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40,
title={$f(x)=left[1+tanhbigl(
pgfmathprintnumber[precision=1,fixed,zerofill]{X}(x-1/2)bigr)right]/2$}]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(X*(x-0.5)))});
end{axis}
end{tikzpicture}}
end{document}
answered 3 hours ago
marmotmarmot
103k4121233
great answer, exactly what I needed thanks a lot!
– rhodelta
3 hours ago
1
@ArtificialStupidity Well, fixed it, but do you think that is important here?
– marmot
2 hours ago
1
Yes. It is important for me. :-) Thank you for fixing!
– Artificial Stupidity
2 hours ago
add a comment |
The plots in proferred answers do not look like what I understand to be a bump function; rather, the plots of the derivatives of the indicated functions would be bump functions. The following directly produces a bump function plot, with support the interval $[-1,1]$:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thin},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=1.2, ymin=-0.2, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-0.2:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:-1, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=-1:1, thick, label={x}]
plot (x, {exp(1-1/(1-x^2)});
addplot[black, thick, samples=100, smooth, domain=1:1.2]
plot (x, {0} );
end{axis}
end{tikzpicture}
end{document}
(I'm unsure how to avoid the apparent gap in the graph immediately to the right of $x=-1$.)
answered 2 hours ago
murraymurray
2,1571031
The gap will disappear once you plotaddplot[black, samples=101, smooth, domain=-1.2:1.2, thick, label={x}] plot (x, {ifthenelse(abs(x)>1,0,exp(1-1/(1-x^2))});instead of three plots.
– marmot
2 hours ago
add a comment |
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2 Answers
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active
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2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
Welcome to TeX.SE! I do not have that book but often people use tanh for that.
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(5*(x-0.5)))});
end{axis}
end{tikzpicture}
end{document}
Of course, you can vary the width of the step by playing with the prefactor, which is 5 above.
documentclass[border=10pt,tikz]{standalone}
usepackage{pgfplots}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
foreach X in {2,2.2,...,6,5.8,5.6,...,2.2}
{begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40,
title={$f(x)=left[1+tanhbigl(
pgfmathprintnumber[precision=1,fixed,zerofill]{X}(x-1/2)bigr)right]/2$}]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(X*(x-0.5)))});
end{axis}
end{tikzpicture}}
end{document}
answered 3 hours ago
marmotmarmot
103k4121233
great answer, exactly what I needed thanks a lot!
– rhodelta
3 hours ago
1
@ArtificialStupidity Well, fixed it, but do you think that is important here?
– marmot
2 hours ago
1
Yes. It is important for me. :-) Thank you for fixing!
– Artificial Stupidity
2 hours ago
add a comment |
Welcome to TeX.SE! I do not have that book but often people use tanh for that.
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(5*(x-0.5)))});
end{axis}
end{tikzpicture}
end{document}
Of course, you can vary the width of the step by playing with the prefactor, which is 5 above.
documentclass[border=10pt,tikz]{standalone}
usepackage{pgfplots}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
foreach X in {2,2.2,...,6,5.8,5.6,...,2.2}
{begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40,
title={$f(x)=left[1+tanhbigl(
pgfmathprintnumber[precision=1,fixed,zerofill]{X}(x-1/2)bigr)right]/2$}]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(X*(x-0.5)))});
end{axis}
end{tikzpicture}}
end{document}
answered 3 hours ago
marmotmarmot
103k4121233
great answer, exactly what I needed thanks a lot!
– rhodelta
3 hours ago
1
@ArtificialStupidity Well, fixed it, but do you think that is important here?
– marmot
2 hours ago
1
Yes. It is important for me. :-) Thank you for fixing!
– Artificial Stupidity
2 hours ago
add a comment |
Welcome to TeX.SE! I do not have that book but often people use tanh for that.
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(5*(x-0.5)))});
end{axis}
end{tikzpicture}
end{document}
Of course, you can vary the width of the step by playing with the prefactor, which is 5 above.
documentclass[border=10pt,tikz]{standalone}
usepackage{pgfplots}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
foreach X in {2,2.2,...,6,5.8,5.6,...,2.2}
{begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40,
title={$f(x)=left[1+tanhbigl(
pgfmathprintnumber[precision=1,fixed,zerofill]{X}(x-1/2)bigr)right]/2$}]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(X*(x-0.5)))});
end{axis}
end{tikzpicture}}
end{document}
answered 3 hours ago
marmotmarmot
103k4121233
Welcome to TeX.SE! I do not have that book but often people use tanh for that.
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(5*(x-0.5)))});
end{axis}
end{tikzpicture}
end{document}
Of course, you can vary the width of the step by playing with the prefactor, which is 5 above.
documentclass[border=10pt,tikz]{standalone}
usepackage{pgfplots}
pgfplotsset{%
every x tick/.style={black, thick},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
foreach X in {2,2.2,...,6,5.8,5.6,...,2.2}
{begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=2, ymin=-0.7, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-1.5:1.2,
axis x line=center, axis y line= center,
samples=40,
title={$f(x)=left[1+tanhbigl(
pgfmathprintnumber[precision=1,fixed,zerofill]{X}(x-1/2)bigr)right]/2$}]
addplot[black, samples=100, smooth, domain=-1.2:2, thick]
plot (x, {0.5*(1+tanh(X*(x-0.5)))});
end{axis}
end{tikzpicture}}
end{document}
answered 3 hours ago
marmotmarmot
103k4121233
edited 2 hours ago
answered 3 hours ago
marmotmarmot
103k4121233
answered 3 hours ago
marmotmarmot
103k4121233
answered 3 hours ago
marmotmarmot
103k4121233
103k4121233
great answer, exactly what I needed thanks a lot!
– rhodelta
3 hours ago
1
@ArtificialStupidity Well, fixed it, but do you think that is important here?
– marmot
2 hours ago
1
Yes. It is important for me. :-) Thank you for fixing!
– Artificial Stupidity
2 hours ago
add a comment |
great answer, exactly what I needed thanks a lot!
– rhodelta
3 hours ago
1
@ArtificialStupidity Well, fixed it, but do you think that is important here?
– marmot
2 hours ago
1
Yes. It is important for me. :-) Thank you for fixing!
– Artificial Stupidity
2 hours ago
great answer, exactly what I needed thanks a lot!
– rhodelta
3 hours ago
great answer, exactly what I needed thanks a lot!
– rhodelta
3 hours ago
1
1
@ArtificialStupidity Well, fixed it, but do you think that is important here?
– marmot
2 hours ago
@ArtificialStupidity Well, fixed it, but do you think that is important here?
– marmot
2 hours ago
1
1
Yes. It is important for me. :-) Thank you for fixing!
– Artificial Stupidity
2 hours ago
Yes. It is important for me. :-) Thank you for fixing!
– Artificial Stupidity
2 hours ago
add a comment |
The plots in proferred answers do not look like what I understand to be a bump function; rather, the plots of the derivatives of the indicated functions would be bump functions. The following directly produces a bump function plot, with support the interval $[-1,1]$:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thin},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=1.2, ymin=-0.2, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-0.2:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:-1, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=-1:1, thick, label={x}]
plot (x, {exp(1-1/(1-x^2)});
addplot[black, thick, samples=100, smooth, domain=1:1.2]
plot (x, {0} );
end{axis}
end{tikzpicture}
end{document}
(I'm unsure how to avoid the apparent gap in the graph immediately to the right of $x=-1$.)
answered 2 hours ago
murraymurray
2,1571031
The gap will disappear once you plotaddplot[black, samples=101, smooth, domain=-1.2:1.2, thick, label={x}] plot (x, {ifthenelse(abs(x)>1,0,exp(1-1/(1-x^2))});instead of three plots.
– marmot
2 hours ago
add a comment |
The plots in proferred answers do not look like what I understand to be a bump function; rather, the plots of the derivatives of the indicated functions would be bump functions. The following directly produces a bump function plot, with support the interval $[-1,1]$:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thin},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=1.2, ymin=-0.2, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-0.2:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:-1, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=-1:1, thick, label={x}]
plot (x, {exp(1-1/(1-x^2)});
addplot[black, thick, samples=100, smooth, domain=1:1.2]
plot (x, {0} );
end{axis}
end{tikzpicture}
end{document}
(I'm unsure how to avoid the apparent gap in the graph immediately to the right of $x=-1$.)
answered 2 hours ago
murraymurray
2,1571031
The gap will disappear once you plotaddplot[black, samples=101, smooth, domain=-1.2:1.2, thick, label={x}] plot (x, {ifthenelse(abs(x)>1,0,exp(1-1/(1-x^2))});instead of three plots.
– marmot
2 hours ago
add a comment |
The plots in proferred answers do not look like what I understand to be a bump function; rather, the plots of the derivatives of the indicated functions would be bump functions. The following directly produces a bump function plot, with support the interval $[-1,1]$:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thin},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=1.2, ymin=-0.2, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-0.2:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:-1, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=-1:1, thick, label={x}]
plot (x, {exp(1-1/(1-x^2)});
addplot[black, thick, samples=100, smooth, domain=1:1.2]
plot (x, {0} );
end{axis}
end{tikzpicture}
end{document}
(I'm unsure how to avoid the apparent gap in the graph immediately to the right of $x=-1$.)
answered 2 hours ago
murraymurray
2,1571031
The plots in proferred answers do not look like what I understand to be a bump function; rather, the plots of the derivatives of the indicated functions would be bump functions. The following directly produces a bump function plot, with support the interval $[-1,1]$:
documentclass[border=10pt]{standalone}
usepackage{pgfplots}
usepackage{tikz}
pgfplotsset{%
every x tick/.style={black, thin},
every y tick/.style={black, thick},
every tick label/.append style = {font=footnotesize},
every axis label/.append style = {font=footnotesize},
compat=1.12
}
begin{document}
begin{tikzpicture}
begin{axis}[xmin=-1.2, xmax=1.2, ymin=-0.2, ymax=1.2,
xtick = {-1,0,1}, ytick = { 1},
scale=0.4, restrict y to domain=-0.2:1.2,
axis x line=center, axis y line= center,
samples=40]
addplot[black, samples=100, smooth, domain=-1.2:-1, thick]
plot (x, { 0 });
addplot[black, samples=100, smooth, domain=-1:1, thick, label={x}]
plot (x, {exp(1-1/(1-x^2)});
addplot[black, thick, samples=100, smooth, domain=1:1.2]
plot (x, {0} );
end{axis}
end{tikzpicture}
end{document}
(I'm unsure how to avoid the apparent gap in the graph immediately to the right of $x=-1$.)
answered 2 hours ago
murraymurray
2,1571031
answered 2 hours ago
murraymurray
2,1571031
answered 2 hours ago
murraymurray
2,1571031
answered 2 hours ago
murraymurray
2,1571031
2,1571031
The gap will disappear once you plotaddplot[black, samples=101, smooth, domain=-1.2:1.2, thick, label={x}] plot (x, {ifthenelse(abs(x)>1,0,exp(1-1/(1-x^2))});instead of three plots.
– marmot
2 hours ago
add a comment |
The gap will disappear once you plotaddplot[black, samples=101, smooth, domain=-1.2:1.2, thick, label={x}] plot (x, {ifthenelse(abs(x)>1,0,exp(1-1/(1-x^2))});instead of three plots.
– marmot
2 hours ago
The gap will disappear once you plot
addplot[black, samples=101, smooth, domain=-1.2:1.2, thick, label={x}] plot (x, {ifthenelse(abs(x)>1,0,exp(1-1/(1-x^2))}); instead of three plots.– marmot
2 hours ago
The gap will disappear once you plot
addplot[black, samples=101, smooth, domain=-1.2:1.2, thick, label={x}] plot (x, {ifthenelse(abs(x)>1,0,exp(1-1/(1-x^2))}); instead of three plots.– marmot
2 hours ago
add a comment |
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