curvature

listen to the pronunciation of curvature
Английский Язык - Английский Язык
The extent to which a Riemannian manifold is intrinsically curved
The shape of something curved
The extent to which a subspace is curved within a metric space
{n} a crookedness, a bend, a winding
In Riemannian geometry, usually means the intrinsic curvature of a manifold with a Riemannian metric The curvature at a point is positive (negative) if the sum of the angles of a small approximate triangle at that point is greater than (less than) 180 degrees
the property possessed by the curving of a line or surface
(medicine) a curving or bending; often abnormal; "curvature of the spine"
The rotation per unit length of a member due to bending forces
the degree of curving of a line or surface
Let C be a curve and let P be a point on C Let N be the normal at P and let O be the point on N which is the limit of where the normal to C at P' intersects N as P' tends to P O is the centre of curvature at P and PO is the radius of curvature at that point
{i} act of curving, state of being curved; measure of the degree of a curve in a line
Mathematically, is the second derivative of terrain elevation Is an important feature in shape analysis and is used to indicate convexity/concavity of a surface
The act of curving, or the state of being bent or curved; a curving or bending, normal or abnormal, as of a line or surface from a rectilinear direction; a bend; a curve
the rate of change (at a point) of the angle between a curve and a tangent to the curve
The amount of degree of bending of a mathematical curve, or the tendency at any point to depart from a tangent drawn to the curve at that point
The act of curving or bending One of the characteristics of line
MFD Wool Base
the property possessed by the curving of a line or surface the rate of change (at a point) of the angle between a curve and a tangent to the curve (medicine) a curving or bending; often abnormal; "curvature of the spine
The curvature of something is its curved shape, especially when this shape is part of the circumference of a circle. the curvature of the earth. the state of being curved, or the degree to which something is curved curvature of (curvatura, from curvare; CURVE). Measure of the rate of change of direction of a curved line or surface at any point. In general, it is the reciprocal of the radius of the circle or sphere of best fit to the curve or surface at that point. This notion of best fit derives from the principle that only one circle can be drawn though any three points not on the same line. The radius of curvature at the middle point is approximately equal to the radius of that one circle. This calculation becomes more exact the closer the points are. The precise value is found using a limit. Because a straight line can be thought of as an arc of a circle of infinite radius, its curvature is zero
sori
center of curvature
The center of the osculating circle to a given curve at a given point
centre of curvature
The centre of the osculating circle at the point on the curve
radius of curvature
The radius of the osculating circle at the point on the curve
center of curvature
the center of the circle of curvature
circle of curvature
the circle that touches a curve (on the concave side) and whose radius is the radius of curvature
curvatures
plural of curvature
radius of curvature
the radius of the circle of curvature; the absolute value of the reciprocal of the curvature of a curve at a given point
spinal curvature
an abnormal curvature of the vertebral column
curvature
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