CRGreathouse said:
yea variance is probably it, i want to find the flattest part of a distrubtion of pointsEmmanuel114 said:Variance? I don't even know why you would be talking about curvature of a set of points.
You can always use discrete approximations to curvature, and/or apply some smoothing.ice109 said:this is for continuous distributions which i do not have.
Curve curvature is a measure of how much a curve deviates from a straight line at a specific point. It describes how much the curve is bending or curving at that point.
Curve curvature is typically calculated using mathematical formulas that take into account the slope and concavity of the curve at a given point. The most commonly used formula is the curvature formula, which involves taking the second derivative of the curve equation.
The radius of curvature is the distance between the center of curvature and a point on the curve. It is inversely proportional to curve curvature, meaning that as the radius of curvature decreases, the curve curvature increases, and vice versa.
Curve curvature plays a significant role in determining the shape of a curve. The greater the curve curvature, the more the curve deviates from a straight line, resulting in a more pronounced bend or curve.
Curve curvature is used in a wide range of fields, such as engineering, physics, and mathematics. It is particularly useful in designing smooth and efficient pathways, such as roads, roller coasters, and pipelines. It is also essential in studying the behavior of waves, fluids, and objects in motion.