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Difference between revisions of "Point of cessation"

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A [[Singular point|singular point]] on a plane curve at which the curve ends. A circle of sufficiently small radius and with centre at a point of cessation intersects the curve at only one point. E.g. for the curve <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p073/p073180/p0731801.png" /> the origin is the point of cessation (see Fig.).
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A [[Singular point|singular point]] on a plane curve at which the curve ends. A circle of sufficiently small radius and with centre at a point of cessation intersects the curve at only one point. E.g. for the curve $y=x\ln x$ the origin is the point of cessation (see Fig.).
  
 
<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/p073180a.gif" />
 
<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/p073180a.gif" />
  
 
Figure: p073180a
 
Figure: p073180a

Revision as of 21:29, 30 April 2014

A singular point on a plane curve at which the curve ends. A circle of sufficiently small radius and with centre at a point of cessation intersects the curve at only one point. E.g. for the curve $y=x\ln x$ the origin is the point of cessation (see Fig.).

Figure: p073180a

How to Cite This Entry:
Point of cessation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Point_of_cessation&oldid=15301
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article