update sqrt convergence figure in 11

This commit is contained in:
Valentin Boettcher 2022-08-03 15:30:22 +02:00
parent 73b75bbf4c
commit ad9c30ab32

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@ -12,52 +12,94 @@ legend cell align={left},
legend style={fill opacity=0.8, draw opacity=1, text opacity=1, draw=lightgray204}, legend style={fill opacity=0.8, draw opacity=1, text opacity=1, draw=lightgray204},
log basis x={10}, log basis x={10},
log basis y={10}, log basis y={10},
minor xtick={20,30,40,50,60,70,80,90,200,300,400,500,600,700,800,900,2000,3000,4000,5000,6000,7000,8000,9000,20000,30000,40000,50000,60000,70000,80000,90000,200000,300000,400000,500000,600000,700000,800000,900000},
minor xticklabels={
\(\displaystyle {2\times10^{1}}\),
\(\displaystyle {3\times10^{1}}\),
\(\displaystyle {4\times10^{1}}\),
,
\(\displaystyle {6\times10^{1}}\),
,
,
,
\(\displaystyle {2\times10^{2}}\),
\(\displaystyle {3\times10^{2}}\),
\(\displaystyle {4\times10^{2}}\),
,
\(\displaystyle {6\times10^{2}}\),
,
,
,
\(\displaystyle {2\times10^{3}}\),
\(\displaystyle {3\times10^{3}}\),
\(\displaystyle {4\times10^{3}}\),
,
\(\displaystyle {6\times10^{3}}\),
,
,
,
\(\displaystyle {2\times10^{4}}\),
\(\displaystyle {3\times10^{4}}\),
\(\displaystyle {4\times10^{4}}\),
,
\(\displaystyle {6\times10^{4}}\),
,
,
,
\(\displaystyle {2\times10^{5}}\),
\(\displaystyle {3\times10^{5}}\),
\(\displaystyle {4\times10^{5}}\),
,
\(\displaystyle {6\times10^{5}}\),
,
,
},
minor ytick={2e-05,3e-05,4e-05,5e-05,6e-05,7e-05,8e-05,9e-05,0.0002,0.0003,0.0004,0.0005,0.0006,0.0007,0.0008,0.0009,0.002,0.003,0.004,0.005,0.006,0.007,0.008,0.009,0.02,0.03,0.04,0.05,0.06,0.07,0.08,0.09}, minor ytick={2e-05,3e-05,4e-05,5e-05,6e-05,7e-05,8e-05,9e-05,0.0002,0.0003,0.0004,0.0005,0.0006,0.0007,0.0008,0.0009,0.002,0.003,0.004,0.005,0.006,0.007,0.008,0.009,0.02,0.03,0.04,0.05,0.06,0.07,0.08,0.09},
minor yticklabels={ minor yticklabels={
\(\displaystyle {2\times10^{-5}}\), \(\displaystyle {2\times10^{-5}}\),
\(\displaystyle {3\times10^{-5}}\), \(\displaystyle {3\times10^{-5}}\),
\(\displaystyle {4\times10^{-5}}\), \(\displaystyle {4\times10^{-5}}\),
, \(\displaystyle {5\times10^{-5}}\),
\(\displaystyle {6\times10^{-5}}\), \(\displaystyle {6\times10^{-5}}\),
, \(\displaystyle {7\times10^{-5}}\),
, \(\displaystyle {8\times10^{-5}}\),
, \(\displaystyle {9\times10^{-5}}\),
\(\displaystyle {2\times10^{-4}}\), \(\displaystyle {2\times10^{-4}}\),
\(\displaystyle {3\times10^{-4}}\), \(\displaystyle {3\times10^{-4}}\),
\(\displaystyle {4\times10^{-4}}\), \(\displaystyle {4\times10^{-4}}\),
, \(\displaystyle {5\times10^{-4}}\),
\(\displaystyle {6\times10^{-4}}\), \(\displaystyle {6\times10^{-4}}\),
, \(\displaystyle {7\times10^{-4}}\),
, \(\displaystyle {8\times10^{-4}}\),
, \(\displaystyle {9\times10^{-4}}\),
\(\displaystyle {2\times10^{-3}}\), \(\displaystyle {2\times10^{-3}}\),
\(\displaystyle {3\times10^{-3}}\), \(\displaystyle {3\times10^{-3}}\),
\(\displaystyle {4\times10^{-3}}\), \(\displaystyle {4\times10^{-3}}\),
, \(\displaystyle {5\times10^{-3}}\),
\(\displaystyle {6\times10^{-3}}\), \(\displaystyle {6\times10^{-3}}\),
, \(\displaystyle {7\times10^{-3}}\),
, \(\displaystyle {8\times10^{-3}}\),
, \(\displaystyle {9\times10^{-3}}\),
\(\displaystyle {2\times10^{-2}}\), \(\displaystyle {2\times10^{-2}}\),
\(\displaystyle {3\times10^{-2}}\), \(\displaystyle {3\times10^{-2}}\),
\(\displaystyle {4\times10^{-2}}\), \(\displaystyle {4\times10^{-2}}\),
, \(\displaystyle {5\times10^{-2}}\),
\(\displaystyle {6\times10^{-2}}\), \(\displaystyle {6\times10^{-2}}\),
, \(\displaystyle {7\times10^{-2}}\),
, \(\displaystyle {8\times10^{-2}}\),
\(\displaystyle {9\times10^{-2}}\)
}, },
tick align=outside, tick align=outside,
tick pos=left, tick pos=left,
width=\figW, width=\figW,
x grid style={darkgray176}, x grid style={darkgray176},
xlabel={\(\displaystyle N\)}, xlabel={\(\displaystyle N\)},
xmin=89.1250938133745, xmax=1122.01845430196, xmin=922.680834590588, xmax=5418.99193367184,
xmode=log, xmode=log,
xtick style={color=black}, xtick style={color=black},
xtick={1,10,100,1000,10000,100000}, xtick={10,100,1000,10000,100000},
xticklabels={ xticklabels={
\(\displaystyle {10^{0}}\),
\(\displaystyle {10^{1}}\), \(\displaystyle {10^{1}}\),
\(\displaystyle {10^{2}}\), \(\displaystyle {10^{2}}\),
\(\displaystyle {10^{3}}\), \(\displaystyle {10^{3}}\),
@ -65,8 +107,8 @@ xticklabels={
\(\displaystyle {10^{5}}\) \(\displaystyle {10^{5}}\)
}, },
y grid style={darkgray176}, y grid style={darkgray176},
ylabel={\(\displaystyle σ\)}, ylabel={mean \(\displaystyle σ\)},
ymin=0.000206282128665995, ymax=0.000731916612102981, ymin=0.000303143603109317, ymax=0.00073465241509804,
ymode=log, ymode=log,
ytick style={color=black}, ytick style={color=black},
ytick={1e-05,0.0001,0.001,0.01}, ytick={1e-05,0.0001,0.001,0.01},
@ -79,22 +121,17 @@ yticklabels={
] ]
\addplot [semithick, steelblue31119180, dotted, mark=*, mark size=2.8, mark options={solid}] \addplot [semithick, steelblue31119180, dotted, mark=*, mark size=2.8, mark options={solid}]
table {% table {%
100 0.000690973771270365 1000 0.000705679936800152
199.999969482422 0.000484140415210277 1999.99963378906 0.000496594060678035
300.000061035156 0.000393910653656349 3000.00073242188 0.000406141072744504
400.000091552734 0.000350466492818668 4000.00073242188 0.000353465846274048
500.000091552734 0.000308895396301523 5000.0009765625 0.000317110039759427
600.000061035156 0.000279167084954679
699.999938964844 0.000259500433458015
800 0.000243598784436472
899.999938964844 0.000229642377234995
1000 0.000219574576476589
}; };
\addlegendentry{Numerics} \addlegendentry{Numerics}
\addplot [semithick, darkorange25512714] \addplot [semithick, darkorange25512714]
table {% table {%
100 0.000690973771270365 1000 0.000705679936800152
1000 0.000218505098018795 5000.0009765625 0.000315589568344876
}; };
\addlegendentry{$1/\sqrt{N}$} \addlegendentry{$1/\sqrt{N}$}
\end{axis} \end{axis}