Regular curve

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Definition

A curve γ:RR3 usually (however γ:ARRn more generally) is called regular if all points (Range(γ)) are regular

Definition: Regular Point

A point γ(t) is called regular of ˙γ0 otherwise it is a Singular point

Important point

The curve γ(t)(t,t2) is regular however γ(t)(t3,t6) is not - it is not technically a reparametrisation

Any reparametrisation of a regular curve is regular


TODO: reparametrisation theorem