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Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Curvature> ?p ?o }

• Curvature abstract "In mathematics, curvature is 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 is defined in different ways depending on the context. There is a key distinction between extrinsic curvature, which is defined for objects embedded in another space (usually a Euclidean space) in a way that relates to the radius of curvature of circles that touch the object, and intrinsic curvature, which is defined at each point in a Riemannian manifold. This article deals primarily with the first concept.The canonical example of extrinsic curvature is that of a circle, which has a curvature equal to the reciprocal of its radius everywhere. Smaller circles bend more sharply, and hence have higher curvature. The curvature of a smooth curve is defined as the curvature of its osculating circle at each point.More commonly curvature is a scalar quantity, but one may also define a curvature vector that takes into account the direction of the bend as well as its sharpness. The curvature of more complex objects (such as surfaces or even curved n-dimensional spaces) is described by more complex objects from linear algebra, such as the general Riemann curvature tensor.The remainder of this article discusses, from a mathematical perspective, some geometric examples of curvature: the curvature of a curve embedded in a plane and the curvature of a surface in Euclidean space.See the links below for further reading.".
• Curvature thumbnail Osculating_circle.svg?width=300.
• Curvature wikiPageExternalLink CurvatureAndTorsionOfCurves.mw.
• Curvature wikiPageExternalLink 5-03.htm.
• Curvature wikiPageExternalLink k.htm.
• Curvature wikiPageID "60770".
• Curvature wikiPageLength "32104".
• Curvature wikiPageOutDegree "161".
• Curvature wikiPageRevisionID "707538169".
• Curvature wikiPageWikiLink Ambient_space.
• Curvature wikiPageWikiLink Angular_defect.
• Curvature wikiPageWikiLink Arc_length.
• Curvature wikiPageWikiLink Augustin-Louis_Cauchy.
• Curvature wikiPageWikiLink Bending.
• Curvature wikiPageWikiLink Bertrand–Diquet–Puiseux_theorem.
• Curvature wikiPageWikiLink CAT(k)_space.
• Curvature wikiPageWikiLink Carl_Friedrich_Gauss.
• Curvature wikiPageWikiLink Cartesian_coordinate_system.
• Curvature wikiPageWikiLink Category:Articles_containing_video_clips.
• Curvature wikiPageWikiLink Category:Curvature_(mathematics).
• Curvature wikiPageWikiLink Category:Multivariable_calculus.
• Curvature wikiPageWikiLink Circle.
• Curvature wikiPageWikiLink Comparison_theorem.
• Curvature wikiPageWikiLink Connection_(mathematics).
• Curvature wikiPageWikiLink Cross_product.
• Curvature wikiPageWikiLink Curvature_form.
• Curvature wikiPageWikiLink Curvature_of_Riemannian_manifolds.
• Curvature wikiPageWikiLink Curvature_of_a_measure.
• Curvature wikiPageWikiLink Curve.
• Curvature wikiPageWikiLink Cylinder_(geometry).
• Curvature wikiPageWikiLink Darboux_frame.
• Curvature wikiPageWikiLink Degree_of_curvature.
• Curvature wikiPageWikiLink Determinant.
• Curvature wikiPageWikiLink Differentiable_function.
• Curvature wikiPageWikiLink Differential_geometry_of_curves.
• Curvature wikiPageWikiLink Differential_geometry_of_surfaces.
• Curvature wikiPageWikiLink Dioptre.
• Curvature wikiPageWikiLink Einstein_field_equations.
• Curvature wikiPageWikiLink Embedding.
• Curvature wikiPageWikiLink Engineering.
• Curvature wikiPageWikiLink Euclidean_geometry.
• Curvature wikiPageWikiLink Euclidean_space.
• Curvature wikiPageWikiLink Euler_characteristic.
• Curvature wikiPageWikiLink Euler–Bernoulli_beam_theory.
• Curvature wikiPageWikiLink Frenet–Serret_formulas.
• Curvature wikiPageWikiLink Gauge_theory.
• Curvature wikiPageWikiLink Gauss_map.
• Curvature wikiPageWikiLink Gaussian_curvature.
• Curvature wikiPageWikiLink Gausss_principle_of_least_constraint.
• Curvature wikiPageWikiLink Gauss–Bonnet_theorem.
• Curvature wikiPageWikiLink General_relativity.
• Curvature wikiPageWikiLink Geodesic_curvature.
• Curvature wikiPageWikiLink Gravity.
• Curvature wikiPageWikiLink Holonomy.
• Curvature wikiPageWikiLink Homogeneous_space.
• Curvature wikiPageWikiLink Hyperbolic_geometry.
• Curvature wikiPageWikiLink Hyperboloid.
• Curvature wikiPageWikiLink Hypersphere.
• Curvature wikiPageWikiLink Immersion_(mathematics).
• Curvature wikiPageWikiLink Infinitesimal.
• Curvature wikiPageWikiLink Integral.
• Curvature wikiPageWikiLink Isometry.
• Curvature wikiPageWikiLink Isotropy.
• Curvature wikiPageWikiLink Jacobi_field.
• Curvature wikiPageWikiLink Line_(geometry).
• Curvature wikiPageWikiLink Linear_algebra.
• Curvature wikiPageWikiLink Linear_map.
• Curvature wikiPageWikiLink Lissajous_curve.
• Curvature wikiPageWikiLink Local_property.
• Curvature wikiPageWikiLink Maple_(software).
• Curvature wikiPageWikiLink Mathematics.
• Curvature wikiPageWikiLink Mean_curvature.
• Curvature wikiPageWikiLink Measure_(mathematics).
• Curvature wikiPageWikiLink Metric_space.
• Curvature wikiPageWikiLink Minimal_surface.
• Curvature wikiPageWikiLink Minimum_railway_curve_radius.
• Curvature wikiPageWikiLink Minkowski_space.
• Curvature wikiPageWikiLink Morris_Kline.
• Curvature wikiPageWikiLink Multiplicative_inverse.
• Curvature wikiPageWikiLink Non-Euclidean_geometry.
• Curvature wikiPageWikiLink Normal_(geometry).
• Curvature wikiPageWikiLink Orientation_(vector_space).
• Curvature wikiPageWikiLink Orthonormal_basis.
• Curvature wikiPageWikiLink Osculating_circle.
• Curvature wikiPageWikiLink Parabola.
• Curvature wikiPageWikiLink Parallel_transport.
• Curvature wikiPageWikiLink Parametric_equation.
• Curvature wikiPageWikiLink Parametric_surface.
• Curvature wikiPageWikiLink Physical_cosmology.
• Curvature wikiPageWikiLink Physics.
• Curvature wikiPageWikiLink Plane_curve.
• Curvature wikiPageWikiLink Polyhedron.
• Curvature wikiPageWikiLink Principal_axis_theorem.
• Curvature wikiPageWikiLink Principal_bundle.
• Curvature wikiPageWikiLink Principal_curvature.
• Curvature wikiPageWikiLink Principle_of_least_action.
• Curvature wikiPageWikiLink Pseudo-Riemannian_manifold.
• Curvature wikiPageWikiLink Quadratic_form.
• Curvature wikiPageWikiLink Radius.
• Curvature wikiPageWikiLink Radius_of_curvature_(mathematics).

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