File:Affine conn eg2.svg

Original file(SVG file, nominally 1,000 × 1,000 pixels, file size: 105 KB)

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Description
English: Another example of the Levi-Civita connection of two vector fields.
Date
Source Own work
Author IkamusumeFan
Other versions Affine connection example.svg
SVG development
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This plot was created with Gnuplot.
 
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Source code
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Gnuplot code

# Author: Ika
# Date: 12/31/2014

set term svg font 'Times, 18' size 1000,1000
set output 'affine_conn_eg2.svg'

set size ratio 1
set xrange [-1.5:1.5]
set yrange [-1.5:1.5]
# Unit along the axes
set xtics 1
set ytics 1
unset grid

unset label
set key off

# The following block shows the red vector field.
# j stands for a different radius r
do for [j=1:25] {
r = 2/25.0*j
# i stands for a different angle \theta
do for [i=1:50] {
theta = 2*pi/50.0*(i-1)
set arrow j*50+i from r*cos(theta), r*sin(theta) to r*cos(theta)-0.1*sin(theta), r*sin(theta)+0.1*cos(theta) lw 1 lc rgb "red"
}
}

# The following block shows the blue vector field.
# j stands for a different radius r
do for [j=1:10] {
r = 2/10.0*j
# i stands for a different angle \theta
do for [i=1:50] {
theta = 2*pi/50.0*(i-1)
set arrow j*50+i+2000 from r*cos(theta), r*sin(theta) to (r+0.1)*cos(theta), (r+0.1)*sin(theta) lw 1 lc rgb "blue"
}
}

# To show the arrows, I have to plot something. So I choose a trivial zero function.
set parametric
plot 0,0 lw 1 lc rgb "rgb"

set term x11
set output

Licensing edit

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International 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.

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Date/TimeThumbnailDimensionsUserComment
current23:57, 31 December 2014Thumbnail for version as of 23:57, 31 December 20141,000 × 1,000 (105 KB)IkamusumeFan (talk | contribs)User created page with UploadWizard

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