分段光滑

Cubic spline function fitting is a good method in the curve fitting because it is characterized by very good subsection smoothness.

三次样条函数拟合是曲线拟合的一个公认的较好方法，它具有很好的分段光滑性。

The guidance system is built according to the relative relationship in three dimensions. For longitudinal plane, by introducing the subsidiary smooth function, the attraction domain of sliding mode are analyzed and determined, and the stability of the guidance system is proven, considering from the coupling relations of two planes in three dimensions.

根据末端三维弹目相对运动学关系，建立了三维制导系统的数学模型，并以纵向平面模型和变结构控制中到达条件为基础，引入分段光滑连续函数，以三维平面间的耦合关系为出发点，从两个方面分析并确定了过载受限变结构制导律的滑动模态吸引区，证明其制导系统的稳定性。

Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线，是以为边界的分片光滑的有向曲面，的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向，则弯曲四指表示曲线的方向)，函数，，在曲面上具有一阶连续偏导数，则有下述公式成立

It is shown that the pressure distribution is a piecewise parabolic curve, and the pressure gradient can be discontinuous at the border of the slip and no-slip regions.

结果显示压力分布为分段光滑的抛物线，在滑移／非滑移边界，存在不连续的压力梯度。

New stability conditions of T-S fuzzy control systems are proposed via constructing the continuous piecewise smooth Lyapunov function.

通过构造连续分段光滑Lyapunov函数，提出了新的T-S模糊控制系统的稳定性条件。

If is piecewise smooth, that is, consists of several smooth curves joined together.

如果是分段光滑的，即是由几段光滑曲线连接起来的。

The current thesis discusses, from some points of view, the characteristics of piecewise smooth conservative and dissipative systems.

本论文从一些角度研究了分段光滑的保守系统及耗散系统的特性。

The local dynamics behaviors of grazing orbit of piecewise smooth systems are investigated.

研究了分段光滑系统中擦边轨道附近的动力学行为。

Horizontal Well ; Piecewise Smooth Dynamical Systems ; Impulsive Differential Systems ; Optimal Control ; Stability ; Initial Time Difference

国家自然科学；水平井；分段光滑动力系统；脉冲微分系统；最优控制；稳定性；初始时刻偏差

The work in this thesis could be concluded into four parts: 1. Theoretical analysis and numerical simulation are finished among three type of piecewise smooth rub models which include dual-linear rigid model, Hertz model and nominal rigid model.

本论文的主要工作分成以下四部分：第一部分：对三种分段光滑碰摩模型，即双线性刚度模型、Hertz模型和当量刚度模型进行了理论分析和数值仿真对比，确定了Hertz模型的优势地位。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。