# Definition of Absolute curvature. Meaning of Absolute curvature. Synonyms of Absolute curvature

Here you will find one or more explanations in English for the word Absolute curvature. Also in the bottom left of the page several parts of wikipedia pages related to the word Absolute curvature and, of course, Absolute curvature synonyms and on the right images related to the word Absolute curvature.

## Definition of Absolute curvature

Absolute curvature
Curvature Cur"va*ture (k?r"v?-t?r; 135), n. [L. curvatura. See Curvate.] 1. The act of curving, or the state of being bent or curved; a curving or bending, normal or abnormal, as of a line or surface from a rectilinear direction; a bend; a curve. --Cowper. The elegant curvature of their fronds. --Darwin. 2. (Math.) The amount of degree of bending of a mathematical curve, or the tendency at any point to depart from a tangent drawn to the curve at that point. Aberrancy of curvature (Geom.), the deviation of a curve from a circular form. Absolute curvature. See under Absolute. Angle of curvature (Geom.), one that expresses the amount of curvature of a curve. Chord of curvature. See under Chord. Circle of curvature. See Osculating circle of a curve, under Circle. Curvature of the spine (Med.), an abnormal curving of the spine, especially in a lateral direction. Radius of curvature, the radius of the circle of curvature, or osculatory circle, at any point of a curve.

## Meaning of Absolute curvature from wikipedia

- geometry, the total absolute curvature of a smooth curve is a number defined by integrating the absolute value of the curvature around the curve. It...
- radius of curvature is the length of the curvature vector. In the case of a plane curve, then R is the absolute value of R ≡ | d s d φ | = 1 κ , {\displaystyle...
- angles) have well-defined total curvature, interpreting the curvature as point m****es at the angles. The total absolute curvature of a curve is defined in almost...
- continuous curve evolution. If the curve is non-convex, its total absolute curvature decreases monotonically, until it becomes convex. Once convex, the...
- Play media In mathematics, curvature is any of several strongly related concepts in geometry. Intuitively, the curvature is the amount by which a curve...
- that is sufficiently smooth to define the curvature κ at each of its points, and if the total absolute curvature is less than or equal to 4π, then K is an...
- Vermeil's theorem essentially states that the scalar curvature is the only (non-trivial) absolute invariant among those of prescribed type suitable for...
- magnetic susceptibility, ...), or general relativity (stress–energy tensor, curvature tensor, ... ) and others. In applications, it is common to study situations...
- utility functions are expressed in terms of these measures. The higher the curvature of u ( c ) {\displaystyle u(c)} , the higher the risk aversion. However...
- relativity). In general relativity, in any region small enough for the curvature of spacetime and tidal forces to be negligible, one can find a set of...