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rdfs:comment | - Curvature is the third stage in Super Monkey Ball: Touch and Roll. It is similar to Beginner Floor 6 of Super Monkey Ball.
- The curvature, represented by , of a smooth (that is, with no cusps or sharp corners) function r(t) is a measure of how fast the direction of the tangent vector is changing at a given point. It is equal to where is the derivative of the unit tangent vector function, equal to
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abstract | - The curvature, represented by , of a smooth (that is, with no cusps or sharp corners) function r(t) is a measure of how fast the direction of the tangent vector is changing at a given point. It is equal to where is the derivative of the unit tangent vector function, equal to It is also equal to the reciprocal of the radius of curvature (represented with ), or the radius of the circle which has the same slope and concavity as the function. Curvature is often signed, especially in higher dimensions (see below), with a positive curvature representing the unit tangent vector rotating in the counterclockwise direction.
- Curvature is the third stage in Super Monkey Ball: Touch and Roll. It is similar to Beginner Floor 6 of Super Monkey Ball.
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