In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being...
44 KB (6,432 words) - 08:44, 10 June 2024
Shape of the universe (redirect from Curvature of the Universe)
defined primarily by its curvature, while the global geometry is characterised by its topology (which itself is constrained by curvature). General relativity...
30 KB (3,822 words) - 05:19, 26 July 2024
In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...
34 KB (5,859 words) - 04:51, 6 July 2024
Lordosis (redirect from Lordotic curvature)
abnormal inward curvature of the lumbar spine. However, the terms lordosis and lordotic are also used to refer to the normal inward curvature of the lumbar...
26 KB (3,202 words) - 20:18, 2 June 2024
Earth radius (redirect from Earth radius of curvature)
and measure the Earth's radius involve either the spheroid's radius of curvature or the actual topography. A few definitions yield values outside the range...
42 KB (4,361 words) - 10:18, 25 July 2024
geometry, the center of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal...
3 KB (258 words) - 21:31, 9 April 2024
General relativity (redirect from Curvature of space-time)
property of space and time or four-dimensional spacetime. In particular, the curvature of spacetime is directly related to the energy and momentum of whatever...
193 KB (22,611 words) - 18:57, 31 July 2024
Vertebral column (redirect from Spinal curvature)
column is divided into different body regions, which correspond to the curvatures of the vertebral column. The articulating vertebrae are named according...
42 KB (5,321 words) - 13:45, 25 July 2024
Gaussian curvature or Gauss curvature Κ of a smooth surface in three-dimensional space at a point is the product of the principal curvatures, κ1 and κ2...
19 KB (2,622 words) - 02:43, 13 March 2024
term curvature tensor may refer to: the Riemann curvature tensor of a Riemannian manifold — see also Curvature of Riemannian manifolds; the curvature of...
562 bytes (100 words) - 07:37, 14 November 2023
Look up curvature in Wiktionary, the free dictionary. Curvature refers to mathematical concepts in different areas of geometry. Curvature may also refer...
528 bytes (101 words) - 09:32, 10 July 2024
The curvatures of the stomach are the long, convex, lateral surface, and the shorter, concave, medial surface of the stomach, which are referred to as...
6 KB (614 words) - 22:41, 25 May 2024
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...
7 KB (777 words) - 09:02, 30 September 2023
differential geometry, the curvature form describes curvature of a connection on a principal bundle. The Riemann curvature tensor in Riemannian geometry...
5 KB (882 words) - 18:20, 29 August 2023
Curvature is a 2017 American science fiction mystery thriller film directed by Diego Hallivis and starring Lyndsy Fonseca and Linda Hamilton. Lyndsy Fonseca...
2 KB (99 words) - 12:01, 10 July 2024
Spherical Earth (redirect from Curvature of the earth)
Spherical Earth or Earth's curvature refers to the approximation of the figure of the Earth as a sphere. The earliest documented mention of the concept...
14 KB (1,641 words) - 18:25, 14 July 2024
In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno...
19 KB (2,904 words) - 22:21, 30 June 2024
In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best...
12 KB (1,708 words) - 22:09, 29 April 2024
mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a...
35 KB (5,029 words) - 23:36, 30 May 2024
Radius of curvature (ROC) has specific meaning and sign convention in optical design. A spherical lens or mirror surface has a center of curvature located...
4 KB (450 words) - 05:32, 13 May 2024
geometry, the sectional curvature is one of the ways to describe the curvature of Riemannian manifolds. The sectional curvature K(σp) depends on a two-dimensional...
20 KB (3,103 words) - 21:48, 5 January 2024
In Riemannian geometry, the geodesic curvature k g {\displaystyle k_{g}} of a curve γ {\displaystyle \gamma } measures how far the curve is from being...
5 KB (925 words) - 23:29, 22 May 2024
Scoliosis (redirect from Curvature of the spine)
legs Respiratory or cardiac problems in severe cases Constipation due to curvature causing "tightening" of the stomach, intestines, etc. The signs of scoliosis...
81 KB (8,416 words) - 12:55, 1 July 2024
Differentiable curve (redirect from Curvature vector)
geometric properties and various quantities associated with them, such as the curvature and the arc length, are expressed via derivatives and integrals using...
23 KB (3,326 words) - 14:19, 30 May 2024
An Euler spiral is a curve whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the...
23 KB (2,965 words) - 19:26, 5 July 2024
Spacetime (redirect from Time- space curvature)
the curvature of spacetime. These tidal accelerations are strictly local. It is the cumulative total effect of many local manifestations of curvature that...
173 KB (24,123 words) - 14:04, 18 July 2024
Curvature of a curve may refer to: Curvature of plane curves Curvature of space curves Curvature of curves on surfaces This disambiguation page lists articles...
159 bytes (54 words) - 04:49, 15 April 2016
Curve of Spee (redirect from Spee's curvature)
the Curve of Spee (also called von Spee's curve or Spee's curvature) is defined as the curvature of the mandibular occlusal plane beginning at the canine...
2 KB (311 words) - 04:44, 11 May 2023
In mathematics, the mean curvature H {\displaystyle H} of a surface S {\displaystyle S} is an extrinsic measure of curvature that comes from differential...
11 KB (1,739 words) - 22:28, 12 April 2024
Petersburg Mathematical Society for his work on Aleksandrov's spaces of curvature bounded from below. In 1992, he was invited to spend a semester each at...
65 KB (6,336 words) - 05:00, 29 July 2024