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curvature    音标拼音: [k'ɚvətʃɚ]
n. 屈曲,弯曲,曲率

屈曲,弯曲,曲率

curvature
曲率

curvature
曲率

curvature
n 1: (medicine) a curving or bending; often abnormal; "curvature
of the spine"
2: the rate of change (at a point) of the angle between a curve
and a tangent to the curve
3: the property possessed by the curving of a line or surface
[synonym: {curvature}, {curve}]

Curvature \Cur"va*ture\ (k?r"v?-t?r; 135), n. [L. curvatura. See
{Curvate}.]
1. 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.
--Cowper.
[1913 Webster]

The elegant curvature of their fronds. --Darwin.
[1913 Webster]

2. (Math.) 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.
[1913 Webster]

{Aberrancy of curvature} (Geom.), the deviation of a curve
from a circular form.

{Absolute curvature}. See under {Absolute}.

{Angle of curvature} (Geom.), one that expresses the amount
of curvature of a curve.

{Chord of curvature}. See under {Chord}.

{Circle of curvature}. See {Osculating circle of a curve},
under {Circle}.

{Curvature of the spine} (Med.), an abnormal curving of the
spine, especially in a lateral direction.

{Radius of curvature}, the radius of the circle of curvature,
or osculatory circle, at any point of a curve.
[1913 Webster]


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  • Curvature - Wikipedia
    Curvature is a differential-geometric property of the curve; it does not depend on the parametrization of the curve In particular, it does not depend on the orientation of the parametrized curve, i e which direction along the curve is associated with increasing parameter values
  • 曲率 - 百度百科
    在数学中,曲率(curvature)是微分几何中几个密切相关的概念之一,它直观地描述了曲线偏离直线的程度或表面偏离平面的程度。 如果曲线或表面包含在更大的空间中(如ℝn),曲率可以相对于周围空间外在地定义。
  • 如何简明地解释曲率(curvature)? - 知乎
    因此,定义球体或者圆的“圆”的程度,术语叫作 曲率 ,为: K=\frac {1} {r}\\ 其中 r 为球体或者圆的半径,这样半径越小的圆曲率越大,直线可以看作半径为无穷大的圆,其曲率为: K=\lim_ {r\to\infty}\frac {1} {r}=0\\ 这样定义曲率符合我们的直觉。 3 曲线的曲率 很显然,曲线也有不同的弯曲程度: 3 1 密切圆 可以将圆的曲率扩展到曲线上。 我们知道两点决定一条直线,比如下面就是曲线的割线: 当 x\to x_0 的时候,得到的就是切线: 同样的道理,三个点可以确定一个圆: 当 \delta\to 0 时,得到的圆称为 密切圆 (Osculating circle),是对 x_0 附近的曲线的 最佳圆近似 : 3 2 密切圆的半径与曲率
  • CURVATURE中文 (简体)翻译:剑桥词典 - Cambridge Dictionary
    CURVATURE翻译:弯曲;曲率,曲度。 了解更多。
  • 曲率 - 维基百科,自由的百科全书
    在数学中, 曲 qū率 (英語: curvature)即“弯曲度” [1],是描述 几何体 弯曲程度的量;直观地说,曲率是 曲线 偏离 直线 的 量 (程度),或是 曲面 偏离 平面 的量(程度)。 在不同的 几何学 领域中,曲率的具体定义不完全相同。
  • curvature - 搜索 词典
    1 When it is curved, the law of its curvature seems to be at the least of the first and at the most of the second order 当 它 是 曲线 的 时候, 其 弯曲 的 法则 看起来 至少 是 一 阶 至多 是 二阶。
  • 微积分II 曲率 (Curvature)和法向量 (Normal Vector) 13. 4 (7)
    本章讲的是曲率curvature和曲线的 法向量 normal vector s 曲率 的意义是曲线扭曲的程度,如图,直线“不曲”,因此曲率为0 曲率越大,曲线就越弯。
  • Curvature -- from Wolfram MathWorld
    Curvature is classified into two principal types: extrinsic curvature and intrinsic curvature The extrinsic curvature of curves in two- and three-space was the first type of curvature to be studied historically, culminating in the Frenet formulas
  • Curvature IT Hardware for Your Enterprise Data Center
    Curvature, a Park Place Technologies company, is the smart choice for new and pre-owned Network, Server, and Storage hardware
  • 1. 3: Curvature - Mathematics LibreTexts
    Definition 1 3 1 The circle which best approximates a given curve near a given point is called the circle of curvature or the osculating circle2 at the point The radius of the circle of curvature is called the radius of curvature at the point and is normally denoted \(\rho\text{ }\)





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