导出方程

Using the basic dynamic equation of rotary non-inertial system, the basic law of object s movement in the reference system of rotating about fixed axis , and the conditions of momentum conservation and conservation of momentum moment of objects are educed.

利用旋转非惯性系中的基本动力学方程，导出在定轴旋转参照系中物体运动的基本规律，以及物体动量守恒和动量矩守恒的条件。

The study methods: Based on digital printing and offset printing technology principle, the basic parameters having effect on the ink-jet printing output quality were analyzed. And the mathematics models between the ink quantity and the solid density, and the relation between the gamma and printing contrast were established. The relation among the output dot area coverage, the original dot area coverage and the dot-gain percent was analyzed. And the mathematics models of printing characteristics curves and dot-gain curves were established. The factors influencing the dot-gain were analyzed, and then the dot-gain compensation function was acquired. All the models were verified by the method of regression analysis. And the precisions of the models were obtained by the correlation coefficient and multiple correlation coefficients.

研究方法：根据数码印刷以及胶版印刷的工艺原理，分析了影响喷墨印刷输出质量的基本参数，建立墨量与样张实地密度、γ与相对反差的数学模型；分析输出网点面积率、标定网点面积率以及网点扩大率三者之间的关系，建立网点扩大曲线和印刷阶调复制曲线的数学模型，并对网点扩大的影响因素进行了分析，导出了网点扩大补偿函数；运用回归分析方法分析模型，并用相关系数和复相关系数检验回归模型的显著性；使用灰平衡方程，结合回归法得出灰平衡控制曲线。

Multistep method is the first method applied to DAEs.Because of some reasonsin history,all algorighms for DAEs come from those for stiff ODEs,mainly thebackward difference formula.

多步法是最早用于直接求解微分代数方程的方法，由于历史上的原因，长期以来使用的公式都是由刚性常微分方程的求解公式导出的，主要是向后差分公式。

Based on the variational principle of initial post-buckling theory, the neutral equilibrium equation of the arch under uniform compression is derived.

基于初始后屈曲理论的变分原理，导出了圆拱在均匀压力作用下弹性失稳的中性平衡方程，并计算了圆拱反对称屈曲的临界压力，得到了与经典解一致的结果。

In mathematics, a rule expressed as an equation, e.g., F=MA is a formula derived from Newton's laws of motion.

在数学中，表示为方程的一种规则，例如，F=MA就是从牛顿运动定律导出的一个公式。

Character of solution of stochastic differential equation in dual of nuclear space was studied.

研究核空间的对偶空间的随机微分方程解的性质，得到微分方程组解 L 2收敛的条件，及在一定条件下解过程导出的测度{ Pn}为胎

Based on these analytical solutions, the equations of the optimal transfer trajectory are obtained, and the relationship among this trajectory, the desired relative orbit, and the optimal impulses is shown.

在最优解的基础上导出并分析了两冲量建立时的最优转移轨迹方程，揭示了最优转移轨迹与作用冲量、目标相对轨道之间的关系。

In this paper, a general, strain-consistent, third-order displacement field of shells is proposed. On this basis, the nonlinear theory of composite laminated shells including third-order transverse shear deformation and rotary inertia is developed. Hamilton's variational principle is used to derive the nonlinear static and dynamic governing differential equations and the corresponding boundary conditions of composite laminated anisotropic general shells under the orthogonal curvilinear coordinates. And the form of spherical shells is degenerated.

本文提出了一种最普遍的应变协调、三阶壳体位移场，在此基础上建立了考虑三阶横向剪切变形和旋转惯性的复合材料层合壳体非线性理论，用Hamilton变分原理导出了复合材料层合各向异性任意壳体在正交曲线坐标系下的非线性静、动力控制微分方程和相应的边界条件，并将其蜕化为球壳形式。

In this paper another set of basic equations for orthotropic shells was derived.

本文导出了另一组正交异性壳的基本方程。

The amplitude-frequency characteristic is given and the stability of the piston motion is analyzed by the phase plane method.

建立活塞组件动力学模型，导出了活塞振动方程，研究了活塞的幅频特性并运用相平面法分析了活塞运动的稳定性。

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。