File:Arrow diagram of a function (non-injective and non-surjective).svg

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Summary

Description
Português: Diagrama de uma função f de um conjunto A sobre um conjunto B.
English: Arrow diagram of a function f from a set A on a set B.
Date
Source Own work
Author Picknick

Código fonte

#!/usr/bin/env python
# -*- coding: utf-8 -*- 
'''
Este trabalho está licenciado sob a Licença Creative Commons 
Atribuição-CompartilhaIgual 4.0 Internacional. Para ver uma cópia desta licença,
visite https://creativecommons.org/licenses/by-sa/4.0/ ou envie uma carta 
para Creative Commons, PO Box 1866, Mountain View, CA 94042, USA.
'''

import matplotlib.pylab as plt
from matplotlib.patches import Ellipse
from matplotlib.patches import Circle

fig = plt.figure(figsize = (4,4), dpi=100, frameon=False)
ax = plt.subplot(1,1,1)
plt.axis('off')

#x - axis
ax.set_xlim((0,10))

#y- axis
ax.set_ylim((1,9))

#set A
eA = Ellipse((1.75,4.5),3,7,fill=False)
ax.add_artist(eA)
plt.text(1.45,8.25,'$A$',fontsize=14)
c = Circle((1.9,7),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((1.4,6),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((1.8,5),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((1.3,4),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((2,3),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((1.5,2),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((1.2,3.5),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((1.8,4.5),0.1,fill=True,facecolor='black')
ax.add_artist(c)


#set B
eB = Ellipse((8,4.5),3,7,fill=False)
ax.add_artist(eB)
plt.text(7.7,8.25,'$B$',fontsize=14)
c = Circle((8.2,7),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((7.7,6),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((8.1,5),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((7.6,4),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((8.3,3),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((7.9,2),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((8.2,3.5),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((8.4,6.5),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((8.6,5.75),0.1,fill=True,facecolor='black')
ax.add_artist(c)
c = Circle((8.05,4.25),0.1,fill=True,facecolor='black')
ax.add_artist(c)

#relations
plt.arrow(2.1,7,5.9,0,head_width=0.2,length_includes_head=True, facecolor='black')
plt.arrow(1.6,6,6.25,-1.7,head_width=0.2,length_includes_head=True, facecolor='black')
plt.arrow(2,5,5.5,1.05,head_width=0.2,length_includes_head=True, facecolor='black')
plt.arrow(1.6,4,6.5,-0.975,head_width=0.2,length_includes_head=True, facecolor='black')
plt.arrow(2.2,3,5.5,-0.95,head_width=0.2,length_includes_head=True, facecolor='black')
plt.arrow(1.7,2,5.9,3.85,head_width=0.2,length_includes_head=True, facecolor='black')

#function name
plt.text(4.75,7.5,'$f$',fontsize=14)

#an pair (x,f(x))
plt.text(0.8,6,'$x$',fontsize=14)
plt.text(8.25,4.15,'$f(x)$',fontsize=14)


plt.savefig('Venn_diagram_function.svg', bbox_inches='tight', pad_inches=0.0)

Licensing

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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inception

1 July 2016

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image/svg+xml

checksum

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determination method: SHA-1

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20,440 byte

height

314 pixel

width

300 pixel

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Date/TimeThumbnailDimensionsUserComment
current11:50, 2 July 2016Thumbnail for version as of 11:50, 2 July 2016300 × 314 (20 KB)PicknickRepresentação de elementos extras no conjunto A e de um exemplo de um par ordenado (x,f(x)).

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