What is a regular curve?
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Regarding this, how do you define a curve?
Curve - Definition with Examples. What is Curve? A curve is a continuous and smooth flowing line without any sharp turns. One way to recognize a curve is that it bends and changes its direction at least once.
Beside above, what is smooth curve? A smooth curve is a curve which is a smooth function, where the word "curve" is interpreted in the analytic geometry context. In particular, a smooth curve is a continuous map from a one-dimensional space to an. -dimensional space which on its domain has continuous derivatives up to a desired order.
People also ask, can a curve be straight?
A curve is not a straight line, just as a straight line is not a curve. A curved line contains points that are not linear to two given points. The curve moves in other directions from the straight line created by joining collinear points.
What is unit speed curve?
Unit speed curve parameterization. If you change the time parameterization by inverting this function, solving for t as a function of s, then the total length of curve traversed by p(t(s)) up to time s is s. This is called either the unit speed parameterization or parameterization by arc length.