In mathematics are tips (also cusps , Eng .: cusps ), one type of singularities of curves . A point moving on the curve would have to change direction abruptly at the tip .
definition
A curve in the plane is defined by the equation
-
.
A point lying on the curve is a singularity if
-
,
and that singularity is a bit of a tip if additional
applies.
Classification and examples
Each tip can be changed into the shape by local reparameterization
to be brought with. In the classification of singularities , this peak corresponds to a -singularity.
For you get the usual cuff
-
.
For you get the rhamphoide kuspe
-
.
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