运动方程

Starting from the conditions of law of conservation of energy and angular momentum,how to deal with simple disposal of several physical equations of the planetary motion by applying the elementary mathematical equations is proposed.

从角动量和能量守恒定律出发，建立行星椭圆运动的轨道方程，导出行星运动时的各个物理量表达式，从而给出了一种以初等数学为基础的处理行星运动的简洁方法。

The inertia force and coriolis force are calculated to draw deviation for opposite balance, fall and plane motions close to the earth, based on the particle motion differential equation to no-inertial frame of reference.

在质点对非惯性参考系的运动微分方程的基础上，计算惯性离心力和科里奥利力对地球表面附近物体的相对平衡，落体运动和平面运动引起的偏差。

By the analysis of dive and horizontal plane nonlinear model, the catastrophe model on de dive plane is deduced, and catastrophe stability is analysized. In the horizontal plane, simplified equation is gained by center manifold theory, then draws the conclusion that the stability of limit circle arises from critical point is relate to small difference of move point and critical point.

通过对潜艇垂直面和水平面非线性运动模型进行分析，导出垂直面运动的突变控制模型，并进行了突变稳定性分析；在水平面运动的非线性分析中，通过中心流形定理简化方程，得出临界点处极限环的稳定性与微差占的符号有关的结论，这样在无法或很难得到李亚普诺夫函数的情况下，可以通过这种方法判别临界点的稳定性。

By using the theorem of moment of momentum with respect to the mass center, the ship motion is devided into translation and rotation respect to the ship mass center, and the six-degree-freedom nonlinear equation can be deduced based on the exactly analysing the force acting on the ship.

基於刚体运动学理论，将船舶在波浪中的运动分解为平动和绕质心的转动，在分析了船舶受力情况的基础上，运用质点系相对於质心的动量矩定理和Newton第二运动定律建立了船舶的六自由度运动的非线性藕合方程。

In the field, the popular methods include: using Kalman filter or Particle filter to estimate motion, estimate the optical flow, utilizing the active contour model, the active shape model and the deformable template to tracking the objects, and using the Geodesic active contour model or Geodesic active region model which based the partial difference equation method and level set frame.

在该领域常用的方法有利用Kalman滤波及粒子滤波进行运动预测，通过计算光流评价目标运动，利用活动轮廓模型，活动形状模型，可变形模板等主动形状模型方法以及测地线活动轮廓模型，测地线活动区域模型等基于偏微分方程的方法来跟踪目标运动。

Starting from the differential equations which describe the gas-solid flow characters in the raceway of blast furnace,and using the similarity transformation technique to derive the similarity criterion,a cold model was set up to simulate the gas and coke movement in the raceway.

从描述回旋区内气固流运动特性的微分方程出发，应用相似转换法导出相似准则，建立模拟回旋区内煤气及焦炭运动的冷态模型。冷态试验采用了大米、小米、绿豆等作为模型的填充料层；应用HG-100K高速摄像机记录了模型内回旋区的大小与颗粒运动轨迹；并详细分析了影响回旋区大小的主要因素

In this algorithm, the strongest corner points is adaptively detected with Harris operator and (2n+1)×(2n+1) feature windows is selected for originally mutual gray correlative matching. Continental distance ratio invariant criterion is proposed, and consistency of motion vector is improved by eliminating error matching points with median filter. 9 pairs right points is preserved, 4 pairs composing 1 group, and 5 groups is random distributed to uncoil the motion vector equations. Last, stabilization precision is improved by averaging the 5 groups' solutions.

该方法用Harris算子自适应检测出最强壮的角点，开辟(2n+1)×(2n+1)特征窗进行灰度互相关初匹配；提出欧式距离之比不变准则，通过中值滤波剔除误匹配点，确保运动矢量较高的一致性；最后保留若干正确的匹配点对，分成多组解运动矢量方程，将多组解的平均值作为全局运动矢量以提高稳像精度。

Continental distance ratio invariant criterion is proposed,and consistency of motion vector is improved by eliminating error matching points with median filter.9 pairs right points is preserved,4 pairs composing 1 group,and 5 groups is random distributed to uncoil the motion vector equations.Last,stabilization precision is improved by averaging the 5 groups′ solutions.

该方法用Harris算子自适应检测出最强壮的角点，开辟(2n+1)×(2n+1)特征窗进行灰度互相关初匹配；提出欧式距离之比不变准则，通过中值滤波剔除误匹配点，确保运动矢量较高的一致性；最后保留若干正确的匹配点对，分成多组解运动矢量方程，将多组解的平均值作为全局运动矢量以提高稳像精度。

Based on the principle of mass-changing mechanics,this paper analyzes the process of water wheel raising water,educes its movement differential equation s in its three stages from starting to stable running,obtains solutions of the equations,and calculates on the angular velocity of the waterwheel in constant motion.

应用变质量力学原理对农用水车在提水过程中所经历的三个不同阶段，即在运动过程中水车的受力和运动量都在发生变化的情况下，对其动力学问题进行了较为深入的分析，导出了水车由起动至稳定运转三个阶级的运动微分方程，并得到了它们的解答，进而求得水车在趋于定常运动时的转动角速度。

Moldeling and simulation of bubble motion caused by ultrasound using MATLAB The model to describe bubble dynamic motion caused by ultrasound was presented, which included the effects of fluid viscosity, surface tension and vapor pressure of the solvent.

超声空化气泡运动过程模拟及模型的求解建立了超声作用于均相液体中空化泡运动的动力学模型，模型中考虑了液相的动力粘度、表面张力和溶剂的蒸汽压对空化泡运动特性的影响，用MATLAB对建立的普遍化的模型方程进行了数值求解和过程模拟。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。