File:Eu-estimation-tolerance-relative.svg
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Summary
| Description | |
| Date | |
| Source |
Self-made in gnuplot. |
| Author | Nils R. Barth |
| Other versions | File:Eu-estimation-tolerance-absolute.svg (absolute tolerances) |
gnuplot source
# Graphs of errors for the EU “estimated sign”
# Set terminal
set terminal svg enhanced size 300 300 fs 10
set samples 1001 # high quality
set border 31 linewidth .3 # thin border
unset key # no key
# Tolerable error function:
# input is nominal quantity
# output is tolerable negative error, as an absolute quantity
#
# e(x)/x is thus tolerable ~relative~ error
#
e(x) = x < 50 ? 9e-2 * x \
: x < 100 ? 4.5 \
: x < 200 ? 4.5e-2 * x \
: x < 300 ? 9 \
: x < 500 ? 3e-2 * x \
: x < 1000 ? 15 \
: 1.5e-2 * x
# X-range and x-tics
# Set x tics at the cutoff points
set xtics ("" 5, "" 50, "100" 100, "200" 200, "300" 300, "500" 500, "1000" 1000)
# Set representative x-range:
# undefined below 5, and
# extending above 1500 to 10,000 just shrinks the interesting part of the graph
#
# (A log-scale on the x-axis would fit everything in, but obscure the linearity
# in the absolute error; it would be ok in the relative error though.)
set xrange [5:1500]
# Draw the x grid, to show ranges
set grid x
####################
# Absolute error
####################
# Set y tics at the fixed amounts
set ytics (4.5,9,15)
# Set y-range to go from 0 to max (over this x-range)
set yrange [0:22.5]
set output "eu-estimation-tolerance-absolute.svg"
plot e(x)
####################
# Relative error
####################
# Set y-tics at the fixed percentages
set ytics (1.5, 3, 4.5, 9)
# Set y-range (0% – 10%) to include all percentages, with clearance for 9%.
set yrange [0:10]
set format y "%g %%" # Format as percentage
set output "eu-estimation-tolerance-relative.svg"
# Multiply by 100 so as a percentage
plot e(x)/x*100
Licensing
Nils R. Barth, the copyright holder of this work, hereby publishes it under the following license:
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:25, 25 March 2009 | | 300 × 300 (9 KB) | Nbarth | Thinner border. |
| 02:57, 25 March 2009 |  | 1,000 × 1,000 (13 KB) | Nbarth | Thicker lines, bigger text | |
| 02:23, 25 March 2009 |  | 1,000 × 1,000 (13 KB) | Nbarth | {{Information |Description={{en|1=Relative estimation tolerances for the European Union estimated sign.}} |Source=Own work by uploader |Author=Nbarth |Date=2009-03-25 |Permission= |other_versio |
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