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How can i view the poles of a function more strong?

asked 2012-05-06 09:07:23 -0500

anonymous user

Anonymous

updated 2012-05-06 10:48:32 -0500

Shashank gravatar image

Hi, I'm drawing a rational function and i use plot wit detect_poles='show', but i can hardly view the poles, how can i view the poles with a best view? Here is my sagemath code:

f5(x)=(x^2+3*x+11)/(x+1)
d1f5(x) = f5.derivative(x,1)
umd15= d1f5(x).full_simplify()
print(umd15)
d2f5(x) = f5.derivative(x,2)
umd25= d2f5(x).full_simplify()
print(umd25)
Singular25=solve(umd15==0,x)
#Inflexion25=solve(umd25==0,x)
lista_singular25 = umd15.roots(x)
#lista_inflex25=umd25.roots(x)
for raiz5 in lista_singular25:
    print("Punto Singular = ({0},{1})".format(raiz5[0], f5(raiz5[0])))
#for raizz5 in lista_inflex25:
#    print("Punto Inflexión = ({0},{1})".format(raizz5[0], f5(raizz5[0])))
fig5=plot([f5(x),point(((-4,-5),(2,7),),rgbcolor=hue(1),size='40')],(-8.5,8.5),detect_poles='show', thickness=2.0, xmin=-8,xmax=8,ymin=-10,ymax=10,ticks=[1,1])
fig5 += text('P(-4,-5)', (-4.5,-5.7), color='red')
fig5 += text('Q(2,7)', (2,8), color='red')
fig5 += plot([x+2],(-8.5,8.5),color='green',linestyle='--',thickness=2.0)
fig5 += text('y=x+2', (8,8), color='red',clip='yes')
fig5.axes_labels([r'$x$', r'$\frac{(x^2+3x+11)}{(x+1)}$'])
fig5.show()

I want an improve viewing about the vertical asymptotic x=-1

Thanks

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answered 2012-05-07 15:45:06 -0500

kcrisman gravatar image

See the source code (this is version 4.8).

pole_options = {}
pole_options['linestyle'] = '--'
pole_options['thickness'] = 1
pole_options['rgbcolor'] = '#ccc'

Unfortunately, I think that the only way to change these options right now is to change it in your actual plot file! You can go into your Sage installation's devel/sage/sage/plot/plot.py file and search for these lines, and then just change them, start Sage with the command line option sage -br and hopefully a thicker line would be available.

I've opened Ticket 12921 for this issue.

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answered 2012-05-09 07:07:22 -0500

tobal gravatar image

Thank you very much for your answer. Actually I'm using sage 4.8 packaged by Mandriva 2011.0, if I have time i'll recompile the package, if not, i'll wait the next version of sage.

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Comments

Well, this won't be fixed for Sage 5.0 (whose release is imminent). But if you have gcc and a few other things on your computer, you can install from source pretty easily - http://www.sagemath.org/doc/installation/source.html for example. This won't take more than a few hours, and you can get links to the latest release candidate at http://groups.google.com/group/sage-release/

kcrisman gravatar imagekcrisman ( 2012-05-09 08:16:22 -0500 )edit

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Asked: 2012-05-06 09:07:23 -0500

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Last updated: May 09 '12