measure of curvature
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Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this … Wikipedia
Curvature of a measure — In mathematics, the curvature of a measure defined on the Euclidean plane R2 is a quantification of how much the measure s distribution of mass is curved . It is related to notions of curvature in geometry. In the form presented below, the… … Wikipedia
curvature — /kerr veuh cheuhr, choor /, n. 1. the act of curving or the state of being curved. 2. a curved condition, often abnormal: curvature of the spine. 3. the degree of curving of a line or surface. 4. Geom. a. (at a point on a curve) the derivative of … Universalium
measure — 1. To determine the magnitude or quantity of a substance by comparing it to some accepted standard or by calculation. 2. A specified magnitude of a physical quantity. 3. A graduated instrument used to m. an object or substance. [O.F. mesure, fr.… … Medical dictionary
curvature — noun Date: 1603 1. the act of curving ; the state of being curved 2. a measure or amount of curving; specifically the rate of change of the angle through which the tangent to a curve turns in moving along the curve and which for a circle is equal … New Collegiate Dictionary
curvature — cur·va·ture || kÉœËvÉ™tʃə n. act of curving, state of being curved; measure of the degree of a curve in a line … English contemporary dictionary
curvature — /ˈkɜvətʃə / (say kervuhchuh) noun 1. the act of curving. 2. curved condition, often abnormal. 3. the degree of curving. 4. something curved. 5. Mathematics a measure of the extent to which a line departs from being straight or a surface departs… …
Gaussian curvature — In differential geometry, the Gaussian curvature or Gauss curvature of a point on a surface is the product of the principal curvatures, κ 1 and κ 2, of the given point. It is an intrinsic measure of curvature, i.e., its value depends only on how… … Wikipedia
Mean curvature — In mathematics, the mean curvature H of a surface S is an extrinsic measure of curvature that comes from differential geometry and that locally describes the curvature of an embedded surface in some ambient space such as Euclidean space. The… … Wikipedia
Degree of curvature — This article is about the measure of curvature. For other uses, see degree (angle). Degree of curve or degree of curvature is a measure of curvature of a circular arc used in civil engineering for its easy use in layout surveying. A n degree… … Wikipedia
