File:Cartesian transport.gif

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Cartesian_transport.gif(600 × 600 pixels, file size: 592 KB, MIME type: image/gif, looped, 36 frames, 3.6 s)

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Summary

Description
English: Parallel transport under the Levi-Civita connection given by the metric ds2 = dr2 + r22.
Date
Source Own work
Author IkamusumeFan

Gnuplot Source Code to Generate the First Frame

 
This plot was created with Gnuplot.
# Author: Ika
# Date: 12/23/2014

set term jpeg font 'Times, 18' size 1000,1000
set output 'cartesian_transport01.jpg'
theta = 2*pi/36*0
# The ratio of the height and width of the plot chart is 1/5 = 0.2.
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

set arrow 1 from cos(theta), sin(theta) to cos(theta), sin(theta)+0.5 lw 3 lc rgb "red"
set parametric                              
set trange [-pi:pi]
plot cos(t), sin(t) lc rgb "blue" lw 2

set term x11
set output

Licensing

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w:en:Creative Commons
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Under the following conditions:
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depicts

23 December 2014

image/gif

b8002d62e8085c3bdc206dd76d58680578e36f73

606,227 byte

3.600000000000002 second

600 pixel

600 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current10:09, 24 December 2014Thumbnail for version as of 10:09, 24 December 2014600 × 600 (592 KB)wikimediacommons>IkamusumeFanreduce the size for better rendering

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