查询词典 derived equation

The solution for the non-stationary system is obtained through the stationary disturbed system. The gradients of the system performances to all design variables are derived and they can be used to obtain optimal solution of the systems. More generally, if the performance of the system is a function of the solution of a set of generalized Lyapunov equation, then the gradients of the performance function to the coefficient matrices of the equation can be found in closed form.

文中显示，非静态干扰系统的解可由静态干扰系统求得，而此干扰系统之最佳解，则经由本文所推导的对所有设计变数之系统性能函数梯度获得；一般而言，如果系统之性能函数是一组通式化 Lyapunov 方程式解的函数，则此方程式的系数矩阵之性能函数梯度，可用封闭解表示之。

The specific forms of charge transportation equation in a simple pipe for the two flow states were derived. The treatment method for boundary condition of the equation was studied.

分别推导出了两种流态下简单管道内电荷输运方程的表达式，并对方程的边界条件处理进行了研究。

In this paper difference equation of motion fr om one point to another point on the earth is derived from the geodesic equation on the earth and spherical trigonometry formulas. Some difference track formul as of a maneuvering object are also given.

以大地椭球三角形模型为基础，利用地球表面二点间最短路径的大地线方程和球面三角形的有关公式，建立了由地球表面一点运动到另一点的差分运动方程，同时也给出了在进行航向机动时的差分运动轨迹。

In this paper differ ce equation of motion fr om one point to another point on the earth is derived from the geodesic equation on the earth and spherical trigonometry formulas. Some difference track formul as of a maneuvering object are also given.

以大地 椭球三角形模型为基础，利用地球表面二点间最短路径的大地线方程和球面三角形的有关公式，建立了由地球表面一点运动到另一点的差分运动方程，同时也给出了在进行航向机动时的差分运动轨迹。

Based on them, we calculated precisely some enegy levels of P-wave and D-wave of a helium atom, presented and proved the general interdimensional degeneracies for a quantum N-body system, derived the general spherical spinor functions and the exact solution to the Dirac equation for the hydrogen atom, and proved uniformly the Levinson theorem for the Dirac equation in D-dimensions.

在此基础上，我们精确计算了氦原子P波和D波若干较低能级，建立和证明了量子N体系统不同维数状态间最普遍的简并，推导出任意 D 维空间广义球旋函数和Dirac方程氢原子的精确解，统一地提出和证明了任意 D维空间Dirac方程Levinson定理的一般形式。

It is equivalent to solve differential equation for under water explosion. The modes of velocity potential function and movable boundary are chosen, then, a variational equation system is derived by REDUCE procedure on computer.

在此基础上，选取了流场及运动边界的模态，将泛函对选定的自变函数变分，并取驻值；用REDUCE语言由计算机推出变分方程组。

The muscle is simulated by elastic foundation and put into the wall of managing having a viscid condition and the motion of fluid by the linear momentum equation and the continuity equation, and therefore, the governing equations are derived.

由肌肉弹性假设为弹簧来描述管壁运动，也加入了管壁具有黏滞性的条件，而且配合流体的线动量方程以及连续条件，推导出统御方程式。

In this paper, the dynamic equation of thin axisymmetrical shell involved rotation angle has been derived by lagrange equation using semi-analytical method.

本文采用半解析方法，利用拉格朗日方程，重新推导了包括转角在内的旋转薄壳的动力方程；利用加权余量法导出了壳内流体的考虑了压缩性影响的运动方。。。

By considering higher orderapproximation to interaural phase difference,a moregeneral localization equation(which is applicable to f＜1.4kHz)is derived,and the localization equation forstereo sound image with interchannel phase difference isalso given.

并且提出了重发通路间存在相位差时的立体声声像定位公式。

The deformation compatible equation based on the catenary cable element is derived in chapter 2, and corresponding program is made to solve the accurate distribution of the prestress for cable dome. During the solving, two-nodes bar elements and catenary elements are adopted for the struts and cables of structure respectively. As the cable dome is a kinematically indeterminate system, its solving process is also derived in detail and the equations, which are based on large distortion, are adopted to solve the problem.

第二章推导了基于悬链线解析解的索单元变形协调方程式，并编制了相应计算程序对索穹顶结构精确的预应力分布进行求解，结构分析时压杆采用两节点直线杆单元，索采用悬链线索单元；考虑到索穹顶结构属于动不定结构体系，文中还对动不定体系的求解过程进行了详细的推导，同时采用建立在大变形基础上的变形协调方程来求解结构体系的有限机构位移。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。