查询词典 tangent

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

The curvature of a curve; the magnitude of the derivative of its unit tangent vector with respect to distance on the curve:.

曲线的曲率；为单位切向量对距离取导数所得向量的大小

A method of construct a quadratic uniform B-spline curve through data points is given.If the relative curvature of a certain curve on the first control point and the direction angle of the first port's tangent vector is given,here can get the whole curve by using the character of the port of quadratic uniform B-spline curve.

提出了一种二次均匀B样条插值曲线的构造方法，首先给定某一段曲线首点的相对曲率和该段曲线的首端切矢量的方向角，利用二次均匀B样条曲线的端点性质，求出其余各段曲线控制顶点，来生成整条插值曲线。

DT/ds| The curvature of a curve; the magnitude of the derivative of its unit tangent vector with respect to distance on the curve:|dT/ds

曲线的曲率；为单位切向量对距离取导数所得向量的大小

The results of simulation show that the missile exhaust plume can move together with the missile in preset curvilinear motion and can keep tangent to the preset curve, so that the realistic simulation effect can be achieved from any viewpoint.

模拟结果表明，导弹尾焰能随预置的导弹曲线轨迹运动且保持与曲线相切，且在任意视点观察时都具有真实感效果。

Part four will prove the following 4 theorems : theorem 1 :the curvature and torsion of the locus of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral remains to be function t , but not trigonometric function t .

第四部分证明四个定理分别为定理1 由坐标系原点至圆柱螺线的切线所引垂线的垂足的轨迹曲率和挠率仍为t的函数，但不是t的三角函数。

The tangent Poissons ratio of local deformation changes faster than that of traditional whole deformation measurement and the value of the former is larger than thatof the latter.

图像测量局部变形的切线泊松比变化比传统测量整体变形的快，其值也比传统测量整体变形的结果大。

Construct the part of the tangent of the deltoid intercepted by the curve.

三角星形线的两条互相垂直的切线的交点在哪里？

Another reason why hyperbolic tangent is a good choice is that it's easy to obtain its derivative.

另一个原因双曲正切是一个很好的选择是很容易得到它的导数。

Of a dielectric, the product of dielectric constant and the tangent of its dielectric ''.

对于电介质来说，它是介电常数和介质''。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。