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Summary

Description
English: Example of a curve with its asymptote shows that the curve may intersect the asymptote, in this case an infinite amount of times.
Date
Source Own work
Author Guillaume Jacquenot
SVG development
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The source code of this SVG is invalid due to 138 errors.
 
This W3C-invalid plot was created with Matplotlib.
Source code
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Python code

# -*- coding: utf-8 -*-
#
# Script to generate an asymptote curve.
#
# **************************************************************
# Example of a curve with its asymptote
# shows that the curve may intersect the asymptote,
# in this case an infinite amount of times.
# **************************************************************
#
# Guillaume Jacquenot
# 2013 03 20

import numpy as np
import matplotlib
from matplotlib.pyplot import figure, show, rc, grid

def makePlot(outputFilename = r'Asymptote02.svg'):
    rc('grid', linewidth = 1, linestyle = '-', color = '#a0a0a0')
    rc('xtick', labelsize = 15)
    rc('ytick', labelsize = 15)
    rc('font',**{'family':'serif','serif':['Palatino'],'size':15})
    rc('text', usetex=True)

    fig = figure()
    ax = fig.add_axes([0.12, 0.12, 0.76, 0.76])#axisbg='#d5de9c'
    n = 14
    t = np.arange(0.07,12.0,0.01)
    x = t + np.cos(n*t)/t
    y = t + np.sin(n*t)/t
    ax.plot(x, y, color='#ee8d18', lw = 2)
    ax.plot([-4,12], [-4,12], lw = 1, ls = '--', color = 'k')
    ax.set_aspect('equal')
    grid(True)
    ax.set_xlabel('$x$')
    ax.set_ylabel('$y$',rotation=0)
    ax.set_title(r'$x=t+\frac{\cos(nt)}{t}, y=t+\frac{\sin(nt)}{t}, t>0, n = '+str(n)+r'$',
                 fontsize=15)
    fig.savefig(outputFilename)
    fig.show()

makePlot()

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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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20 March 2013

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cc3f27965910865ecf78804db8629987b3e8d9c3

170,866 byte

540 pixel

720 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current10:44, 23 March 2013Thumbnail for version as of 10:44, 23 March 2013720 × 540 (167 KB)GjacquenotFix a title error Increase curve resolution, so that it looks smooth everywhere
22:53, 20 March 2013Thumbnail for version as of 22:53, 20 March 2013720 × 540 (160 KB)GjacquenotUser created page with UploadWizard

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