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point at infinity

   Also found in: Wikipedia 0.01 sec.
point at infinity [′pȯint at in′fin·əd·ē]
(mathematics)
A single point that is adjoined to the complex plane so that it corresponds to the pole of a stereographic projection of the Riemann sphere onto the complex plane, giving the complex plane a compact topology.


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The thrust of the present investigation is provided by the mapping of Neumann to Dirichlet eigen-problems that obtains as the complex boundary parameter varies from zero to the point at infinity along a fixed direction in the complex plane.
Nearer to home, Dublin is neither North Wales nor the North East, but has found a monument entirely in keeping with Eire's history and aspirations as a modern nation - a spire seemingly rising to a vanishing point at infinity.
 
 
 
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