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File:Sinc function (both).svg

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Original file (SVG file, nominally 1,300 × 975 pixels, file size: 42 KB)

Summary

Description
English: Graph of both the normalized (sin(πx)/(πx)) and unnormalized (sin(x)/x) definitions of the sinc function.

These are on the same scale. The second axis is just to clarify that the zero crossings occur on multiples of pi instead of integers.

Mathworld's version

Instructions:
See Wikipedia graph-making tips.

Then I opened the resulting SVG file in Inkscape, copy and pasted the Unicode π characters and modified those labels by hand, changed the line colors, brought the plot lines to the top, made all the lines 3 px wide, made the grid lines 2px wide and 50% transparency. I also manually reconnected the grid lines that were cut by the legend function, moved the legends down next to the graph, converted their example lines into directional arrow type lines, and put a white box behind the text instead of trying to cut the graph lines like gnuplot does.
Date 3 June 2006 (upload date)
Source Own work
Author Omegatron
Other versions
SVG development
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The SVG code is valid.
 
This plot was created with Gnuplot.
 
and with Inkscape.
 
This file uses embedded text.
gnuplot source
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click to expand
# Set 1300×975 SVG output and filename
# The font size (fsize) sets the size for the circles, too.
set samples 400
set terminal svg enhanced size 1300 975 fname "Times" fsize 36
set output "sinc function (both).svg"

# Set y axis limits so the plot doesn't go right to the edges of the graph 
set yrange [-0.3:1.1]
set xrange [-6*pi:6*pi]

set lmargin 5
set bmargin -10

# No legend needed
#set nokey

# Add lightly-colored axis lines
set yzeroaxis
set xzeroaxis

# Put a y-axis tic at every 0.2
set ytics 0.2
set mytics 4

# Put an x-axis tic at every integer
set xtics 5
set format x "%2.0f"
set mxtics 5

# Put a second x-axis tic at every multiple of 2*pi

set x2tics 2*pi
set format x2 "%2.0f"
set mx2tics 2
set grid x x2 y
set xtics nomirror

# Format tics as digit with one decimal place
set format y "%2.1f"

# Plot as lines
plot sin(x)/x with lines, sin(pi*x)/(pi*x) with lines
 
# Close the file (so I don't have to close gnuplot to view it)
set output

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

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3 June 2006

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Date/TimeThumbnailDimensionsUserComment
current17:12, 24 March 2020Thumbnail for version as of 17:12, 24 March 20201,300 × 975 (42 KB)AkanoToEItalicized variables
18:08, 3 June 2006Thumbnail for version as of 18:08, 3 June 20061,300 × 975 (42 KB)Omegatron

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