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vektor field in ploes go wild with the arrows near the poles - how to fix?

 x,y = var('x y')

f=1/sqrt(x^2+y^2)
grad= f.gradient([x,y])
plot_vector_field(grad, (x,-1,1), (y,-1,1)).show()

gives me this

image description

As you can see the errors very close to the pole "cross out" the whole pic. Obviously they are very large vectors, but they do harm the overall image. i have other plots where its worse. How can i work around that? can i blank out the direkt proximity of the pole, somehow? can i limit the vektors' length? How?

vektor field in ploes go wild with the arrows near the poles - how to fix?

x,y = var('x y') y') f=1/sqrt(x^2+y^2) grad= f.gradient([x,y]) plot_vector_field(grad, (x,-1,1), (y,-1,1)).show() gives me this As you can see the errors arrows very close to the pole "cross out" the whole pic. Obviously they are very large vectors, but they do harm the overall image. i I have other plots where its worse. How can i I work around that? can i Can I blank out the direkt proximity of the pole, somehow? can i Can I limit the vektors' length? How?

          3    None 
      
    
        
        updated 2019-04-13 11:14:00 +0200  
 
 
  
 
 
 
  vektor field in ploes go wild with the arrows near the poles - how to fix?
 x,y = var('x y')
 f=1/sqrt(x^2+y^2)
grad= f.gradient([x,y])
plot_vector_field(grad, (x,-1,1), (y,-1,1)).show()
 gives me this
 
 As you can see the arrows very close to the pole "cross out" the whole pic. Obviously they are very large vectors, but they do harm the overall image. I have other plots where its worse. How can I work around that? Can I blank out the direkt proximity of the pole, somehow? Can I limit the vektors' length? How?
 
 
 
          4    None 
      
    
        
        updated 2019-04-13 12:53:16 +0200  
    slelievre 
 17654  ●22 ●160 ●348  
        http://carva.org/samue...
         
 
 
 
  
 
 
 
  vektor field in ploes poles go wild with the arrows near the poles - how to fix?
 x,y = var('x y')
 f=1/sqrt(x^2+y^2)
grad= f.gradient([x,y])
plot_vector_field(grad, (x,-1,1), (y,-1,1)).show()
 gives me this
 
 As you can see the arrows very close to the pole "cross out" the whole pic. Obviously they are very large vectors, but they do harm the overall image. I have other plots where its worse. How can I work around that? Can I blank out the direkt proximity of the pole, somehow? Can I limit the vektors' length? How?
 
 
 
          5    None 
      
    
        
        updated 2019-04-13 23:56:55 +0200  
    slelievre 
 17654  ●22 ●160 ●348  
        http://carva.org/samue...
         
 
 
 
  
 
 
 
  vektor Arrow length goes wild near poles in vector field in poles go wild with the arrows near the poles - how to fix?plot
 x,y = var('x y')Running this piece of code
 f=1/sqrt(x^2+y^2)
grad= f.gradient([x,y])
x, y = var('x y')
f = 1/sqrt(x^2 + y^2)
grad = f.gradient([x, y])
plot_vector_field(grad, (x,-1,1), (y,-1,1)).show()
(x, -1, 1), (y, -1, 1)).show()
 gives me this
 
 As you can see the arrows very close to the pole "cross out" the whole pic. Obviously they are very large vectors, but they do harm the overall image. I have other plots where its worse. How can I work around that? Can I blank out the direkt direct proximity of the pole, somehow? Can I limit the vektors' vectors' length? How?