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more guide plots
This commit is contained in:
Dima Kogan
parent
f3542ba620
commit
2463336cbf
@ -59,12 +59,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,504.30 L770.62,504.30 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,498.33 L770.62,498.33 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,504.30 L74.13,504.30 M770.62,504.30 L760.12,504.30 '/> <g transform="translate(53.84,508.85)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 10</text>
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<path stroke='black' d='M63.63,498.33 L74.13,498.33 M770.62,498.33 L760.12,498.33 '/> <g transform="translate(53.84,502.88)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 100</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -72,12 +72,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,450.60 L770.62,450.60 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,438.67 L770.62,438.67 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,450.60 L74.13,450.60 M770.62,450.60 L760.12,450.60 '/> <g transform="translate(53.84,455.15)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 20</text>
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<path stroke='black' d='M63.63,438.67 L74.13,438.67 M770.62,438.67 L760.12,438.67 '/> <g transform="translate(53.84,443.22)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 200</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -85,12 +85,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,396.90 L770.62,396.90 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,379.00 L770.62,379.00 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,396.90 L74.13,396.90 M770.62,396.90 L760.12,396.90 '/> <g transform="translate(53.84,401.45)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 30</text>
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<path stroke='black' d='M63.63,379.00 L74.13,379.00 M770.62,379.00 L760.12,379.00 '/> <g transform="translate(53.84,383.55)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 300</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -98,12 +98,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,343.20 L770.62,343.20 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,319.34 L770.62,319.34 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,343.20 L74.13,343.20 M770.62,343.20 L760.12,343.20 '/> <g transform="translate(53.84,347.75)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 40</text>
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<path stroke='black' d='M63.63,319.34 L74.13,319.34 M770.62,319.34 L760.12,319.34 '/> <g transform="translate(53.84,323.89)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 400</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -111,12 +111,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,289.50 L770.62,289.50 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,259.67 L770.62,259.67 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,289.50 L74.13,289.50 M770.62,289.50 L760.12,289.50 '/> <g transform="translate(53.84,294.05)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 50</text>
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<path stroke='black' d='M63.63,259.67 L74.13,259.67 M770.62,259.67 L760.12,259.67 '/> <g transform="translate(53.84,264.22)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 500</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -124,12 +124,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,235.81 L770.62,235.81 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,200.01 L770.62,200.01 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,235.81 L74.13,235.81 M770.62,235.81 L760.12,235.81 '/> <g transform="translate(53.84,240.36)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 60</text>
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<path stroke='black' d='M63.63,200.01 L74.13,200.01 M770.62,200.01 L760.12,200.01 '/> <g transform="translate(53.84,204.56)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 600</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -137,12 +137,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,182.11 L770.62,182.11 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,140.34 L770.62,140.34 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,182.11 L74.13,182.11 M770.62,182.11 L760.12,182.11 '/> <g transform="translate(53.84,186.66)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 70</text>
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<path stroke='black' d='M63.63,140.34 L74.13,140.34 M770.62,140.34 L760.12,140.34 '/> <g transform="translate(53.84,144.89)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 700</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -150,25 +150,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,128.41 L770.62,128.41 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,80.68 L770.62,80.68 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,128.41 L74.13,128.41 M770.62,128.41 L760.12,128.41 '/> <g transform="translate(53.84,132.96)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 80</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M63.63,74.71 L770.62,74.71 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,74.71 L74.13,74.71 M770.62,74.71 L760.12,74.71 '/> <g transform="translate(53.84,79.26)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 90</text>
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<path stroke='black' d='M63.63,80.68 L74.13,80.68 M770.62,80.68 L760.12,80.68 '/> <g transform="translate(53.84,85.23)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 800</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -181,7 +168,7 @@
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,21.01 L74.13,21.01 M770.62,21.01 L760.12,21.01 '/> <g transform="translate(53.84,25.56)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="end">
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<text> 100</text>
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<text> 900</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -194,7 +181,7 @@
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M63.63,558.00 L63.63,547.50 M63.63,21.01 L63.63,31.51 '/> <g transform="translate(63.63,583.55)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="middle">
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<text>-30</text>
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<text>-4</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -202,12 +189,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M181.46,558.00 L181.46,21.01 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M152.00,558.00 L152.00,21.01 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M181.46,558.00 L181.46,547.50 M181.46,21.01 L181.46,31.51 '/> <g transform="translate(181.46,583.55)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="middle">
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<text>-20</text>
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<path stroke='black' d='M152.00,558.00 L152.00,547.50 M152.00,21.01 L152.00,31.51 '/> <g transform="translate(152.00,583.55)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="middle">
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<text>-3</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -215,12 +202,25 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M299.29,558.00 L299.29,21.01 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M240.38,558.00 L240.38,21.01 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M299.29,558.00 L299.29,547.50 M299.29,21.01 L299.29,31.51 '/> <g transform="translate(299.29,583.55)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="middle">
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<text>-10</text>
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<path stroke='black' d='M240.38,558.00 L240.38,547.50 M240.38,21.01 L240.38,31.51 '/> <g transform="translate(240.38,583.55)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="middle">
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<text>-2</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M328.75,558.00 L328.75,21.01 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<path stroke='black' d='M328.75,558.00 L328.75,547.50 M328.75,21.01 L328.75,31.51 '/> <g transform="translate(328.75,583.55)" stroke="none" fill="black" font-family="Arial" font-size="14.00" text-anchor="middle">
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<text>-1</text>
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</g>
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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@ -241,12 +241,12 @@
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<g fill="none" color="black" stroke="black" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="gray" stroke="currentColor" stroke-width="0.50" stroke-linecap="butt" stroke-linejoin="miter">
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||||
<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M534.96,558.00 L534.96,21.01 '/></g>
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<path stroke='gray' stroke-dasharray='2,4' class="gridline" d='M505.50,558.00 L505.50,21.01 '/></g>
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<g fill="none" color="gray" stroke="gray" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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</g>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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<text> 20</text>
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<text> 30</text>
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<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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Before Width: | Height: | Size: 32 KiB After Width: | Height: | Size: 51 KiB |
1621
guide/guide-17.svg
Normal file
1621
guide/guide-17.svg
Normal file
File diff suppressed because it is too large
Load Diff
|
After Width: | Height: | Size: 101 KiB |
@ -435,19 +435,48 @@ samples in [-1,1]: it should be normal-ish. And let's draw the expected perfect
|
||||
PDF on top (as an equation, evaluated by =gnuplot=).
|
||||
|
||||
#+BEGIN_SRC sh :results file link :exports both
|
||||
N=1000;
|
||||
Nsum=200;
|
||||
var=$((Nsum/3));
|
||||
binwidth=2;
|
||||
N=20000;
|
||||
Nsum=10;
|
||||
binwidth=.1;
|
||||
seq $N | \
|
||||
perl -nE '$Nsum = '$Nsum';
|
||||
$var = '$Nsum' / 3.;
|
||||
$s = 0; for $i (1..$Nsum) { $s += rand()*2-1; }
|
||||
say $s;' | \
|
||||
say $s/sqrt($var);' | \
|
||||
feedgnuplot --histo 0 --binwidth $binwidth \
|
||||
--equation-above "($N * sqrt(2.*pi*$var) * erf($binwidth/(2.*sqrt(2.*$var)))) * \
|
||||
exp(-(x*x)/(2.*$var)) / \
|
||||
sqrt(2.*pi*$var) title \"Limit gaussian\" with lines lw 2"
|
||||
--equation-above "($N * sqrt(2.*pi) * erf($binwidth/(2.*sqrt(2.)))) * \
|
||||
exp(-(x*x)/(2.)) / \
|
||||
sqrt(2.*pi) title \"Limit gaussian\" with lines lw 2"
|
||||
#+END_SRC
|
||||
|
||||
#+RESULTS:
|
||||
[[file:guide-16.svg]]
|
||||
|
||||
If we want multiple histograms drawn on top of one another, the styling should
|
||||
be adjusted so that they both remain visible. Let's vary the size of the sum,
|
||||
and look at the effects: bigger sums should be more gaussian-like:
|
||||
|
||||
#+BEGIN_SRC sh :results file link :exports both
|
||||
N=20000;
|
||||
binwidth=.1;
|
||||
for Nsum in 1 2 3; do
|
||||
seq $N | \
|
||||
perl -nE '$, = " ";
|
||||
$Nsum = '$Nsum';
|
||||
$var = '$Nsum' / 3.;
|
||||
$s = 0; for $i (1..$Nsum) { $s += rand()*2-1; }
|
||||
say $Nsum,$s/sqrt($var);';
|
||||
done | \
|
||||
feedgnuplot --dataid --histo 1,2,3 --binwidth $binwidth \
|
||||
--autolegend \
|
||||
--style 1 'with boxes fill transparent solid 0.3 border lt -1' \
|
||||
--style 2 'with boxes fill transparent pattern 4 border lt -1' \
|
||||
--style 3 'with boxes fill transparent pattern 5 border lt -1' \
|
||||
--equation-above "($N * sqrt(2.*pi) * erf($binwidth/(2.*sqrt(2.)))) * \
|
||||
exp(-(x*x)/(2.)) / \
|
||||
sqrt(2.*pi) title \"Limit gaussian\" with lines lw 2"
|
||||
#+END_SRC
|
||||
|
||||
#+RESULTS:
|
||||
[[file:guide-17.svg]]
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user