查询词典 transformation equation

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

To begin with, we use reciprocal transformation to map DGH equation to associaed DGH equation.

首先，我们利用倒数变换把DGH方程映射到一个与它关联的双系统方程，即联合DGH方程。

Under the assumption that a differential Riccati equation is solvable, an exponential reduced-order observer is developed by means of coordinate transformation and the gain matrix of the proposed observer depends on the solution of the differential equation.

在一微分Riccati方程有正定解的前提下，通过坐标变换方法对该类系统提出了一种指数型降维观测器设计方法，该观测器的增益矩阵取决于微分Riccati方程的正定解。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

As the above equation is a transcendental one, it cannot be solved readily. Through some appropriate mathematical transformation, however, a calculating equation for practical use is established.

由于该公式是一超越方程式，无法直接求解，为此，作者又从数学上作了适当的函数变换，通过变换，最后建立了两端球铰的伸缩油缸临界力的计算公式。

Both the equation of phase transformation kinetics and the electrical conductivity equation were obtained.

确定该温度下时效的相变动力学方程及导电率方程。

Furthermore we discussed the problem of phase transformation for Schroedinger equation and Klein Gordon equation.

另外，讨论了薛定谔方程、克莱因-戈尔登方程的相位坐标变换问题。

Based on the equivalence between transformation equation and constrained equation consisting of times explicitly,the unified description of criteria for scleronomic constraint and scleronomic system is proposed.

根据变换方程与约束方程显含时间的等价性，提出了定常约束与定常系统判据的等同表述。

As an examplc, in the Chebyshev coordinates, we use the Backlund theorem to give a Backlund transformation and a permutability formula between the generalized sine-Laplace equation and the generalized sinh-Laplace equation.

作为一个例子，利用几何的Backlund定理我们给出了广义的sine-Laplace方程和广义的sinh-Laplace方程之间的Backlund变换及其置换公式。

This paper described the principle of plane ultrasonic spreading abroad in the liquid coming into being ultrasonic grating,educed the density and refractive index changing rule basis continuity equation of not-ideal liquid and Lorentz-Lorenz law,expressing the transformation of the index and refractive index satisfaction similar equation of standing wave,and described the relation curve of the standing wave form at a few special times,liquid density and refractive index periodic variety according to the res...

描述了平面超声波在液体里传播形成超声光栅的原理；根据非理想流体对应的连续性方程和Lorentz-Lorenz定律，推导了液体光栅中液体密度与折射率的周期性变化规律，表明液体密度和折射率变化满足相似的驻波方程；根据推导的结果描绘了几个特殊时刻的驻波波形、液体密度、折射率周期性变化之间的关系曲线；进而由折射率周期性变化规律分析了超声驻波自身像的形成原理，并给出了CGS型超声光栅声速仪利用超声驻波自身像测量声速的方法与实验结果。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。