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Cusp (singularity)

In mathematics, a cusp, sometimes called spinode in old texts, is a point on a curve where a moving point must reverse direction. A typical example is given in the figure. A cusp is thus a type of singular point of a curve.

Applications, Classification in differential geometry & Overview

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Overview

Classification in differential geometry

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Applications

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Cusp (singularity)

Nodes61
Edges60
Triples0
Avg. degree1.97
Density0.032787
Components1

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Important terminology

cusp curve displaystyle cusps type point order smooth function points quadratic plane linear pm singularities terms change part direction equation

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SubjectPredicateObjectConfidenceSrc

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