Definition of Curvatures. Meaning of Curvatures. Synonyms of Curvatures

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

Definition of Curvatures

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 Curvatures from wikipedia

- curvature, independent of an embedding. The Gaussian curvature, named after Carl Friedrich Gauss, is equal to the product of the prin****l curvatures...
- All sectional curvatures will have the same sign. If the prin****l curvatures have different signs: κ1κ2 < 0, then the Gaussian curvature is negative and...
- curvatures for different normal planes at p. The prin****l curvatures at p, denoted k1 and k2, are the maximum and minimum values of this curvature....
- are two curvatures that characterize the shape each point in space. Mathematically, these two curvatures are called the prin****l curvatures, c 1 {\displaystyle...
- also refer to: Curvature LLC, a network hardware company Human vertebral column, curvature of the spine Curvatures of the stomach, curvatures of the stomach...
- Prin****l Curvatures 15.3 Curvature and Radius of Curvature Archived 2021-04-29 at the Wayback Machine Weisstein, Eric W. "Prin****l Curvatures". MathWorld...
- and their sectional curvatures are equal. Caminha, A. (2006-07-01). "On spacelike hypersurfaces of constant sectional curvature lorentz manifolds". Journal...
- and scalar curvatures become average values (rather than sums) of sectional curvatures. It is a fundamental fact that the scalar curvature is invariant...
- of curvature is a measure of curvature of a circular arc used in civil engineering for its easy use in layout surveying. The degree of curvature is defined...
- term curvature tensor may refer to: the Riemann curvature tensor of a Riemannian manifold — see also Curvature of Riemannian manifolds; the curvature of...