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update sqrt convergence figure in 11
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1 changed files with 70 additions and 33 deletions
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@ -12,52 +12,94 @@ legend cell align={left},
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legend style={fill opacity=0.8, draw opacity=1, text opacity=1, draw=lightgray204},
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legend style={fill opacity=0.8, draw opacity=1, text opacity=1, draw=lightgray204},
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log basis x={10},
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log basis x={10},
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log basis y={10},
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log basis y={10},
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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},
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minor xticklabels={
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\(\displaystyle {2\times10^{1}}\),
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\(\displaystyle {3\times10^{1}}\),
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\(\displaystyle {4\times10^{1}}\),
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,
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\(\displaystyle {6\times10^{1}}\),
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,
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,
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,
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\(\displaystyle {2\times10^{2}}\),
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\(\displaystyle {3\times10^{2}}\),
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\(\displaystyle {4\times10^{2}}\),
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,
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\(\displaystyle {6\times10^{2}}\),
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,
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,
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,
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\(\displaystyle {2\times10^{3}}\),
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\(\displaystyle {3\times10^{3}}\),
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\(\displaystyle {4\times10^{3}}\),
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,
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\(\displaystyle {6\times10^{3}}\),
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,
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,
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,
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\(\displaystyle {2\times10^{4}}\),
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\(\displaystyle {3\times10^{4}}\),
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\(\displaystyle {4\times10^{4}}\),
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,
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\(\displaystyle {6\times10^{4}}\),
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,
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,
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,
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\(\displaystyle {2\times10^{5}}\),
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\(\displaystyle {3\times10^{5}}\),
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\(\displaystyle {4\times10^{5}}\),
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,
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\(\displaystyle {6\times10^{5}}\),
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,
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,
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},
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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},
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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},
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minor yticklabels={
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minor yticklabels={
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\(\displaystyle {2\times10^{-5}}\),
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\(\displaystyle {2\times10^{-5}}\),
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\(\displaystyle {3\times10^{-5}}\),
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\(\displaystyle {3\times10^{-5}}\),
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\(\displaystyle {4\times10^{-5}}\),
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\(\displaystyle {4\times10^{-5}}\),
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,
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\(\displaystyle {5\times10^{-5}}\),
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\(\displaystyle {6\times10^{-5}}\),
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\(\displaystyle {6\times10^{-5}}\),
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,
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\(\displaystyle {7\times10^{-5}}\),
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,
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\(\displaystyle {8\times10^{-5}}\),
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,
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\(\displaystyle {9\times10^{-5}}\),
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\(\displaystyle {2\times10^{-4}}\),
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\(\displaystyle {2\times10^{-4}}\),
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\(\displaystyle {3\times10^{-4}}\),
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\(\displaystyle {3\times10^{-4}}\),
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\(\displaystyle {4\times10^{-4}}\),
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\(\displaystyle {4\times10^{-4}}\),
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,
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\(\displaystyle {5\times10^{-4}}\),
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\(\displaystyle {6\times10^{-4}}\),
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\(\displaystyle {6\times10^{-4}}\),
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,
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\(\displaystyle {7\times10^{-4}}\),
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,
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\(\displaystyle {8\times10^{-4}}\),
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,
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\(\displaystyle {9\times10^{-4}}\),
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\(\displaystyle {2\times10^{-3}}\),
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\(\displaystyle {2\times10^{-3}}\),
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\(\displaystyle {3\times10^{-3}}\),
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\(\displaystyle {3\times10^{-3}}\),
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\(\displaystyle {4\times10^{-3}}\),
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\(\displaystyle {4\times10^{-3}}\),
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,
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\(\displaystyle {5\times10^{-3}}\),
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\(\displaystyle {6\times10^{-3}}\),
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\(\displaystyle {6\times10^{-3}}\),
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,
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\(\displaystyle {7\times10^{-3}}\),
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,
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\(\displaystyle {8\times10^{-3}}\),
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,
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\(\displaystyle {9\times10^{-3}}\),
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\(\displaystyle {2\times10^{-2}}\),
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\(\displaystyle {2\times10^{-2}}\),
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\(\displaystyle {3\times10^{-2}}\),
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\(\displaystyle {3\times10^{-2}}\),
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\(\displaystyle {4\times10^{-2}}\),
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\(\displaystyle {4\times10^{-2}}\),
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,
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\(\displaystyle {5\times10^{-2}}\),
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\(\displaystyle {6\times10^{-2}}\),
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\(\displaystyle {6\times10^{-2}}\),
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,
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\(\displaystyle {7\times10^{-2}}\),
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,
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\(\displaystyle {8\times10^{-2}}\),
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\(\displaystyle {9\times10^{-2}}\)
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},
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},
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tick align=outside,
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tick align=outside,
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tick pos=left,
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tick pos=left,
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width=\figW,
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width=\figW,
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x grid style={darkgray176},
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x grid style={darkgray176},
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xlabel={\(\displaystyle N\)},
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xlabel={\(\displaystyle N\)},
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xmin=89.1250938133745, xmax=1122.01845430196,
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xmin=922.680834590588, xmax=5418.99193367184,
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xmode=log,
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xmode=log,
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xtick style={color=black},
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xtick style={color=black},
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xtick={1,10,100,1000,10000,100000},
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xtick={10,100,1000,10000,100000},
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xticklabels={
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xticklabels={
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\(\displaystyle {10^{0}}\),
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\(\displaystyle {10^{1}}\),
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\(\displaystyle {10^{1}}\),
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\(\displaystyle {10^{2}}\),
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\(\displaystyle {10^{2}}\),
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\(\displaystyle {10^{3}}\),
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\(\displaystyle {10^{3}}\),
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@ -65,8 +107,8 @@ xticklabels={
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\(\displaystyle {10^{5}}\)
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\(\displaystyle {10^{5}}\)
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},
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},
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y grid style={darkgray176},
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y grid style={darkgray176},
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ylabel={\(\displaystyle σ\)},
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ylabel={mean \(\displaystyle σ\)},
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ymin=0.000206282128665995, ymax=0.000731916612102981,
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ymin=0.000303143603109317, ymax=0.00073465241509804,
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ymode=log,
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ymode=log,
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ytick style={color=black},
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ytick style={color=black},
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ytick={1e-05,0.0001,0.001,0.01},
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ytick={1e-05,0.0001,0.001,0.01},
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@ -79,22 +121,17 @@ yticklabels={
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]
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]
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\addplot [semithick, steelblue31119180, dotted, mark=*, mark size=2.8, mark options={solid}]
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\addplot [semithick, steelblue31119180, dotted, mark=*, mark size=2.8, mark options={solid}]
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table {%
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table {%
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100 0.000690973771270365
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1000 0.000705679936800152
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199.999969482422 0.000484140415210277
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1999.99963378906 0.000496594060678035
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300.000061035156 0.000393910653656349
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3000.00073242188 0.000406141072744504
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400.000091552734 0.000350466492818668
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4000.00073242188 0.000353465846274048
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500.000091552734 0.000308895396301523
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5000.0009765625 0.000317110039759427
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600.000061035156 0.000279167084954679
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699.999938964844 0.000259500433458015
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800 0.000243598784436472
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899.999938964844 0.000229642377234995
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1000 0.000219574576476589
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};
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};
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\addlegendentry{Numerics}
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\addlegendentry{Numerics}
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\addplot [semithick, darkorange25512714]
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\addplot [semithick, darkorange25512714]
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table {%
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table {%
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100 0.000690973771270365
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1000 0.000705679936800152
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1000 0.000218505098018795
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5000.0009765625 0.000315589568344876
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};
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};
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\addlegendentry{$1/\sqrt{N}$}
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\addlegendentry{$1/\sqrt{N}$}
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\end{axis}
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\end{axis}
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