利用群逆可以求得离散型对称奇异系统的显解。
Using the group inverse, an explicit solution to a symmetric singular system is described.
本文提供了一种算法，对某些初始条件，只需计算其高阶拉普拉斯算子，就可以得到方程的显解。
For certain initial conditions, we need only calculate their high order Laplace operator, then we can obtain the accurate solution of the initial value problem.
在这些实例中，不但能以显函数计算式的方法进行解反演问题，而且计算简捷，结果精确度高。
In these examples, one can not only solve the inversion problems by the method of explicit function, but also make the calculation simple and the result accurate.
为此，建立了基于影响系数的协调方程和能量最优解析方程，使拉力分布的最优解呈显式表示。
Thus, based on effect coefficient harmonic resolution and energy optimal resolution equation are established, which is shown by very simple expression.
利用随机积分及最优控制理论，得出了最大回报函数的显式解及相应的最优控制策略。
Relying on both stochastic calculus and optimal control theory, we obtain its explicit solution of optimal return function and corresponding singular control strategy.
应用生成函数的方法求出了常系数非齐次线性递推式的显式解。
This paper gives an explicit solution to linear non-homogeneous recurrence relations with constant coefficients by means of generating function.
所得的结论对于用显式或隐式差分格式解实际流动问题时，会有一定的指导作用。
The conclusions obtained in this paper will play a role in solving practical flow problems with explicit or implicit finite difference schemes.
而对位移谐振子，用级数方法无法得到精确解，也可用本方法求得精确显式解。
For displacement resonator, although exact solution can't be obtained by using series method, yet it can be obtained through this method.
利用线性模型求出了级联掺磷拉曼光纤激光器各级光输出功率的显式近似解。
In this paper, the approximate explicit solution of optical output power for P-doped cascaded Raman fiber lasers was acquired by linear model.
提出了一种以动态显式有限元为解算器，并采用遗传算法对矩形板激光弯曲成形工艺参数进行优化设计的方法。
Using explicit dynamic FEM as a solver, process parameter optimization design on laser bending of rectangular sheet metals was conducted with genetic algorithms (GA).
将该方法应用于其它非线性波方程(组)中，可获得更多的显式行波解。
More explicit travelling wave solutions can be obtained by using this method to solve other nonlinear travelling wave equations.
本文主要是用非线性化方法来研究困难的（2+1）维孤子方程的显式的有限参数解的。
The purpose of the present paper is using the nonlinearization approach to study the explicit finite-parameter solution to the difficult (2+1) dimensional soliton equation.
讨论了该模型最优策略的性质，并给出了最优库存策略精确解的显式计算公式。
The properties of the optimal inventory polities of te EOQ model are discussed and the explicit solutions of the optimal inventory policy are also given.
利用扩展的双曲正切函数法获得了(2 +1)维长波短波共振相互作用方程的多组新显式精确行波解。
Applying the modified extended tanh-function methods, many types of new explicit traveling wave solutions of the (2 + 1) dimensional long wave-short wave resonance interaction equations are obtained.
论述了不确定性系统下消费决策问题的显式解的可解性并给出了解的具体形式。
This paper discusses the possibility for solving the explicit form of the consumption decision under the uncertain system and gives the framework for the problem.
在一个零售商的情况下，给出了决策变量及供应链利润分配的显式解。
For one single retailer, the explicit solution of the decision variables and the proportion of the channel profit allocated to the retailer were presented.
除了方差分析法外，他们都需要解一个非线性方程组，一般都没有显式解，只能获得迭代解。
Except the Analysis of Variance Estimator, these approaches all need to solve a non-linear equation, which does not have explicit solution, and only has an iteration solution in general.
本文利用特征线法直接求解该辨识问题，得到了该问题的显式解。
In this paper, the characteristic method is used directly to solve this problem of identifiability, and the obvious solution to this problem is obtained.
文中分别给出了隐式和显式形式的解。
Implicit and explicit forms of the analytical solutions are given out in the paper.
由于显式闭环纳什均衡解反映了理性人在动态博弈时的行为方式，因此关于它的研究也具有重要的实际意义。
The explicit closed-loop Nash equilibrium solution reflected the rational behavior in the dynamic game, so the research on it also has important practical significance.
用行波方法得到了这些方程的显式精确解，即有理分式型孤立波解。
The exact and explicit solutions of these equations are obtained by using the travelling wave method. These exact solutions are solitary wave solutions of a rational type.
第二部分讨论一个带有逐点状态约束的四阶常微分系统的时间最优控制问题，给出了显式解。
In the second part, we discuss the time-optimal control problem for an ordinary differential system with a pointwise state-constraint. We give the explicit solution.
通用模型控制是一种有效的非线性控制方法，但该方法的应用条件是过程一阶微分模型必须要有显式解。
Common model control (CMC) is an effective nonlinear control method, but its application condition requests explicit solution for the first order differential model of the process.
本文给出一种解雷诺应力方程的一种新的显式方法。
A new explicit method for solutions of Reynold's stress equations is given in this paper.
算例表明，RITZ法给出的显式解具有较好的精度，可方便地用于振动法测估刚性拉索的索力。
The example shows that the RITZ solution is accurate enough and it can be used conveniently to measure and estimate the tension of rigid cables with vibration method.
滤波理论在寻找部分可观测的随机控制问题的显式解方面起到重要作用。
Filtering theory is very important for us to get explicit solutions for partially observed stochastic control problems.
用这种方法和吴消元法，得到一类反应扩散方程的许多显式和精确行波解。
Some explicit and exact solutions to nonlinear evolution equations were obtained by the (improved) method.
给出了具有抛物形电导率分布的电弧螺旋不稳定性的一个简化线性分析，得到了显式解析解。
A simplified linear analysis of the helical instability of arc plasmas is given. Explicit analytic results are obtained.
两种方法都可以利用广义逆矩阵求得显式解，具有可逆性、可交换性、结合性等优点，提高了曲面形状修改的效率和可控性。
Both methods can be solved explicitly by a pseudo-inverse matrix and are of invertible, commutative, and associative properties, which enhance the efficiency and controllability of the manipulation.
建立了描述直通式辊底炉炉内换热的长炉模型，应用预解区域法解算其辐射换热，提出了新的“显式”迭代法，对直通式辊底炉的设计和操作参数的影响进行了数值分析。
The thermal transfer model inside the furnace is established, the thermal radiation transfer solved by use of the presolving zone method, a new "explicit" iteration method presented, and numerical…
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