查询词典 difference 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。

Some references indicated that the reachability of a Petri net can be analyzed by solving its state equation and judging whether or not there exists a legal firing sequence whose firing number vector is a solution of the state equation, but it is somewhat difficult to achieve.

已有文献提出通过解petri网的状态方程并判定是否存在以它的某个解为发生数向量的合法引发序列来分析petri网的可达性，这往往有一定的困难。

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。

The Lewy equation is locally solvable and globally solvable,and we have got the analytic expressions of the local solution and the global solution.So we obtain the conclution "when ,Lewy's equation (5) has solution ".

Lewy方程是局部可解与整体可解的，我们已经获得了其局部可微解与整体可微解的解析表达式，获得了"Lewy方程（5）当，则有解"的结论。

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。

Chapter 3. Make use of the unified field equation not only deduce the motional equation for matter, but also still have get the spacetime metric of the unified field and spherically symmetry electromagnetic metric.

第三章 利用统一场方程不仅导出物质的运动方程，而且还得到了统一场的时空度规和球对称电磁度规。

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。

The standard Camassa-Holm equation and the Degasperis-Procesi equation are chosen to illustrate the con-crete scheme of our approach.

选取标准的Camassa-Holm方程和Degasperis-Procesi方程以展示这种方法的具体格式。

The standard parabolic equation method was obtained by the decompocition of the scalar wave equation and the expansion of the pseudo-differential operator.

通过对传统波动方程的分解和伪微分算子的近似展开，获得了标准抛物线方程。

Quadratic Equation Solving Function - This function solves a standard quadratic equation .

这个函数求解一个标准的二次方程。

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。