• 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 (6,425 words) - 13:18, 21 March 2024
  • 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...
    194 KB (22,670 words) - 16:21, 19 April 2024
  • defined primarily by its curvature, while the global geometry is characterised by its topology (which itself is constrained by curvature). General relativity...
    30 KB (3,811 words) - 04:37, 15 April 2024
  • Thumbnail for Radius of curvature
    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 (1,614 words) - 09:17, 1 April 2024
  • Thumbnail for Earth radius
    Additionally, the radius can be estimated from the curvature of the Earth at a point. Like a torus, the curvature at a point will be greatest (tightest) in one...
    40 KB (4,265 words) - 19:10, 20 March 2024
  • Thumbnail for Vertebral column
    body in upright position. When the load on the spine is increased, the curvatures increase in depth (become more curved) to accommodate the extra weight...
    41 KB (5,168 words) - 15:38, 26 March 2024
  • Thumbnail for Center of curvature
    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
  • In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...
    35 KB (5,929 words) - 21:44, 21 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
  • Thumbnail for Curvatures of the stomach
    The curvatures of the stomach refer to the long, convex, lateral surface and the shorter, concave, medial surface of the organ, which are referred to as...
    6 KB (603 words) - 17:34, 13 February 2024
  • Thumbnail for Gaussian curvature
    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 (2,424 words) - 02:43, 13 March 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 (767 words) - 09:02, 30 September 2023
  • 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 (5,034 words) - 17:59, 18 April 2024
  • In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno...
    19 KB (2,883 words) - 23:28, 16 April 2024
  • Thumbnail for Spherical 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 (1,639 words) - 18:06, 6 February 2024
  • 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 (1,668 words) - 22:28, 12 April 2024
  • Curvature is a 2017 American science fiction mystery thriller film directed by Diego Hallivis and starring Lyndsy Fonseca and Linda Hamilton. Lyndsy Fonseca...
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  • Thumbnail for Principal curvature
    geometry, the two principal curvatures at a given point of a surface are the maximum and minimum values of the curvature as expressed by the eigenvalues...
    10 KB (1,297 words) - 17:49, 25 October 2023
  • Thumbnail for Radius of curvature (optics)
    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 (431 words) - 01:45, 24 October 2023
  • Thumbnail for Lens
    reciprocal of the radius of curvature is called the curvature. A flat surface has zero curvature, and its radius of curvature is infinite. If d is small...
    54 KB (6,422 words) - 21:15, 26 April 2024
  • Thumbnail for Scoliosis
    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 (8,415 words) - 13:00, 18 April 2024
  • In Riemannian geometry, the geodesic curvature kg{\displaystyle k_{g}} of a curve γ{\displaystyle \gamma } measures how far the curve is from being a...
    5 KB (878 words) - 22:17, 21 January 2024
  • Thumbnail for Curve of Spee
    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
  • Look up curvature in Wiktionary, the free dictionary. Curvature refers to mathematical concepts in different areas of geometry. Curvature may also refer...
    486 bytes (95 words) - 21:31, 27 June 2020
  • Thumbnail for Constant-mean-curvature surface
    In differential geometry, constant-mean-curvature (CMC) surfaces are surfaces with constant mean curvature. This includes minimal surfaces as a subset...
    16 KB (2,000 words) - 14:20, 26 February 2024
  • 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
  • Thumbnail for Lordosis
    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) - 21:17, 31 January 2024
  • geometric properties and various quantities associated with them, such as the curvature and the arc length, are expressed via derivatives and integrals using...
    22 KB (3,305 words) - 16:54, 23 June 2023
  • Thumbnail for Chordee
    Chordee (redirect from Penile curvature)
    downward or upward, at the junction of the head and shaft of the penis. The curvature is usually most obvious during erection, but resistance to straightening...
    5 KB (522 words) - 23:15, 29 December 2023
  • Thumbnail for Horizon
    to the horizon. In many contexts, especially perspective drawing, the curvature of the Earth is disregarded and the horizon is considered the theoretical...
    28 KB (3,996 words) - 20:42, 31 March 2024