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MathGroup Archive 2004

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Re: What is zero divided by zero?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48477] Re: What is zero divided by zero?
  • From: mathma18 at hotmail.com ("G.L.Narasimham")
  • Date: Tue, 1 Jun 2004 03:02:52 -0400 (EDT)
  • References: <4xm5ym42r3vg@legacy>
  • Sender: owner-wri-mathgroup at wolfram.com

Looking  at Mathematica surface plot for local  behaviour of 0/0 near
the origin(u,v)=(0,0), conclusions may be drawn by brute method.
Plot3D[u/v,{u,-.01,.01},{v,-.01,.01},ViewPoint->{4,-2,2},PlotPoints->{21,21}];

As is well-known,the surface is not differentiable at v=0, it being
discontinuous (pointwise only, but not slope for variation on v ),
like a fault in geological usage. Each sheet( antisymmetric at v=0
)has sheared edges , but the lone point of contact between the two
disjunct sheets is still -> (0,0,0) !


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