curvature

IPA: kˈɝvʌtʃɝ

noun

  • The shape of something curved.
  • (mathematics) The extent to which a subspace is curved within a metric space.
  • (differential geometry) The extent to which a Riemannian manifold is intrinsically curved.
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Examples of "curvature" in Sentences

  • The curvature of the dish is exaggerated.
  • The scalar curvature is the trace of the Ricci curvature,
  • The Bianchi identities relate the curvature and torsion as follows.
  • In flat spacetime, the derivatives commute and the curvature is zero.
  • The foil adheres to the pane and fits into the curvature of the pane.
  • The curvature of the curve of intersection is the sectional curvature.
  • A second problem to be addressed was the optimum curvature of the mine.
  • The lookout from the peak is only limited by the curvature of the earth.
  • The curvature of the bell has little effect on the sound of the instrument.
  • Gastric ulcers are most often localized on the lesser curvature of the stomach.
  • As soon as world lines start to curve, you have to measure their curvature, that is "geodesic curvature".
  • To make the notion of curvature pathology more precise, we will use the manifestly physical idea of tidal force.
  • The exterior is as pointy as the market demands, but the arch over the entrance is a nice touch, and the door is cut to match its curvature, which is even nicer.
  • The Weyl curvature is zero on both the future boundary and past boundary, hence the Big Bang is still well-defined in the cyclic model as the unique hypersurface on which the Weyl curvature vanishes.
  • The curvature of the spine, spoken of in this work as so common, and as the cause of so many diseases among American women, is what is denominated the _lateral curvature_, and is much more dangerous than the other distortion.
  • It is proposed to abolish the jog, and to swing the east curvature from the east side of Yonge Street opposite College Street south-easterly into Carlton Street at a width of. 100 feet, immediately to the west of the prolongation of Victoria Street, to reduce the width to 80 feet and extend it through at an 80-foot width to Jarvis Street.
  • Another common thought, often adverted to in discussion of the two primary notions, is that singular structure, whether in the form of missing points or incomplete paths, must be related to pathological behavior of some sort on the part of the singular spacetime's curvature, that is, the fundamental deformation of spacetime that manifests itself as “the gravitational field.”

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synonyms for curvaturedescribing words for curvature
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