hence, the original problem is transformed into a problem of iterating a sequence of adjoint vector differential equations.

for any approximation to be valid it must provide a result that is in some sense close to the solution of the original problem.

任何有效的近似式必须在某种意义上提供一个接近于原问题解的结果。

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the strategy is used to pose a new problem by denying and changing an attribute or some attributes of the original problem.

该策略通过对原问题的条件和约束进行否定进而自由改变以产生新的问题。

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by using the entropy function approximate to the constrained functions, a smooth approximation problem of the original problem is derived.

利用光滑熵函数逼近约束条件，得到只含一个等式约束的光滑优化问题逼近原问题。

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according to the kuhn-tucker conditions, we transform the original problem into linear complementarity problem or nonlinear complementarity problem.

利用Kuhn-Tucker条件将其转化成线性互补问题或非线性互补问题。

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the original problem is decomposed into a discrete maintenance sub-problem and a continuous operation sub-problem.

将原优化问题分解为离散变量的检修子问题和连续变量的发电运行子问题。

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our final exercise returns to the original problem that motivated this article: how to record a radio program.

我们最后一个应用将返回到本文最初的问题上：如何录制广播节目。

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the whole analytic solution of the original problem is obtained by combining the solutions of the inner and outer flow problems.

将内、外两个流动问题的解进行组合得到了原问题的全区域解析解。

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first using regularization method, the original problem can be formulated as a differentiable boundary variational inequality.

首先采用正则化方法将原问题变成可微的边界变分不等式；

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results the limit of the solutions of the regularized problem is a solution of the original problem after estimates.

结果通过取极限证明了原问题解的存在性。

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test results state that modified mill has not only solved the original problem but also with high economy, security and social benefits.

结果显示，改造后磨煤机基本解决了原有问题，具有较高的经济性和安全性以及社会效益。

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on an explanation to the original problem for pedagogy research slightly comparing with the natural science and other humanities

为教育学研究原创性问题而辩解&与自然科学和其他人文社会科学的简略比较

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the methods of improving approximation proposed here are combined with bound algorithm to simplify the original problem step by step.

论文提出了一些基本的改进近似解的方法，与定界算法一起用于简化问题。

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the flow rate control level is focused and the simple engineering approximation of the original problem proposed by other scholars is discussed.

着重讨论分层结构中的流率控制层，论述了前人给出的求解原问题的一些工程近似想法。

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for the system a, fitness function of the original problem and the grain variation strategy of the design variables are used.

B系统保持原问题设计变量，采用简约的适应度函数。

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through the application of teaching management, it can improve the efficiency to a certain extent. this original problem is solved.

通过软件的应用，提高了教务管理的效率，一定程度上解决了原来的问题。

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in chapter 2, we introduce a piecewise smooth function v and simplify the original problem.

在第二章中，我们引入一个分片光滑的函数v，对所得问题作进一步化简。

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the efficacy coefficient method is used to formulate an evaluation function that covers all objective functions of the original problem.

对于多目标规划，采用功效系数法建立目标评价函数。

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the original problem is partitioned into a series of independent subproblems.

它将原问题分解为一系列相互独立的子问题。

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has the storyboard fully resolved the original problem identified?

故事板已经完全解决了最初确定的问题了吗？

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we proved the equivalence property of solution precision between original problem and new problem that be replaced.

对于经过替换后所得到的新问题，证明了与其原问题解精度上的等价性。

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