TeX - LaTeX Asked by Alejandro Munoz Ossa on January 27, 2021
The plot of the following function is correct, but when negative values are evaluated, they do not correspond to the plot
documentclass[border=1pt]{standalone}
usepackage[dvipsnames,svgnames,x11names,]{xcolor}
usepackage{pgf,tikz,tikz-3dplot}
usepackage{pgfplots}
pgfplotsset{compat=1.12}
begin{document}
pgfmathsetmacro{xi}{-2.5} %value
begin{tikzpicture}[line cap=round,line join=round, font={small }]
begin{axis}[height=6cm,width=10cm,no markers, axis lines=center, xlabel={$x$},
ylabel={$F(x)$},
xmin=-9,xmax=9,
ymin=-7,ymax=7,
declare function={
erf(x)=%
(1+(e^(-(x*x))*(-265.057+abs(x)*(-135.065+abs(x)%
*(-59.646+(-6.84727-0.777889*abs(x))*abs(x)))))%
/(3.05259+abs(x))^5)*(x>0?1:-1);
f(x)=(-0.5*x^3+3.8*x^2+4*x+1)*exp(-0.6*x^2);
Fa(x)=0.5*exp(-0.6*x^2)*(-(-0.5)*0.6*x^2-3.8*0.6*x-4*0.6+0.5)/(0.6^2);
Fb(x)=-0.25*sqrt(pi)*(2*0.6+3.8)*erf(-sqrt(0.6)*x)/(0.6*sqrt(0.6));
F(x)=Fa(x)+Fb(x);
},
]
addplot[domain=-5:5, samples=41, smooth, SteelBlue1, line width=1pt]{F(x)};
draw[dash pattern=on1pt off 1pt, ] (xi,0)-- (xi,{F(xi)});
draw[gray] (xi,0.2) -- (xi, -0.2);
draw[, DodgerBlue3] (0,{F(xi)})-- (xi,{F(xi)});
node[font=tiny] at (4,-5) {$F(a)=pgfmathparse{F(xi)}pgfmathresult$};
end{axis}
end{tikzpicture}
end{document}
Im using this erf function Erf function in LaTeX
In your function replace x^2
with (x)^2
:
documentclass[border=1pt]{standalone}
usepackage[dvipsnames,svgnames,x11names,]{xcolor}
%usepackage{pgf,tikz,tikz-3dplot}
usepackage{pgfplots}
pgfplotsset{compat=1.12} % recent is 1.17, I suggest you to upgrade it
begin{document}
pgfmathsetmacro{xi}{-2.5} %value
begin{tikzpicture}[line cap=round,line join=round, font={small }]
begin{axis}[height=6cm,width=10cm,no markers, axis lines=center, xlabel={$x$},
ylabel={$F(x)$},
xmin=-9,xmax=9,
ymin=-7,ymax=7,
declare function={
erf(x)=%
(1+(e^(-(x*x))*(-265.057+abs(x)*(-135.065+abs(x)%
*(-59.646+(-6.84727-0.777889*abs(x))*abs(x)))))%
/(3.05259+abs(x))^5)*(x>0?1:-1);
f(x)=(-0.5*x^3+3.8*x^2+4*x+1)*exp(-0.6*x^2);
Fa(x)=0.5*exp(-0.6*(x)^2)*(-(-0.5)*0.6*(x)^2-3.8*0.6*x-4*0.6+0.5)/(0.6^2);
Fb(x)=-0.25*sqrt(pi)*(2*0.6+3.8)*erf(-sqrt(0.6)*x)/(0.6*sqrt(0.6));
F(x)=Fa(x)+Fb(x);
},
]
addplot[domain=-5:5, samples=41, smooth, SteelBlue1, line width=1pt]{F(x)};
draw[dash pattern=on1pt off 1pt, ] (xi,0)-- (xi,{F(xi)});
draw[gray] (xi,0.2) -- (xi, -0.2);
draw[, DodgerBlue3] (0,{F(xi)})-- (xi,{F(xi)});
node[font=tiny] at (4,-5) {$F(a)=pgfmathparse{F(xi)}pgfmathresult$};
end{axis}
end{tikzpicture}
end{document}
Correct answer by Zarko on January 27, 2021
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