以下为句子列表：
英文: Abstract: The observational fields in planet boundary layer and the modelerror are modified here in variational assimilation.The gradients of the cost function with respect to control variables are calculated in the way of perturbation.
中文: 文摘:文中用变分方法修正边界层资料及模误差，目标函数相对于控制变量的梯度用扰动法计算，对利用小扰动求取梯度的方法进行了理论推导和试验分析。
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英文: An appropriate cost function is constructed which avoids the use of the logarithm likelihood function that is lack of robust to the noise correlation, moreover, our method have many advantages such as, low complexity, suitable for coherence signals, etc.
中文: 构造适当的代价函数，避免了对数似然函数的使用，该方法对色噪声协方差矩阵特征值分散具有稳健性，同时具有较低的计算复杂度和适用于相关甚至相干源等优点。
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英文: And we can prove under some mild conditions, the optimal solution that minimizing the cost function is uniquely exists and finite.
中文: 在一些适当且合理的假设条件下，我们将证明出能使相关成本函数最小的最佳解是存在且唯一的。
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英文: Decision makers can compute the equal-cost volume of cost-driver activity by setting two cost function equations equal to one another and solving for the volume level.
中文: 决策者可以计算成本动因作业的等成本产量，通过建立两个价值函数等式，使其相互相等，进而得到产量水平。
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英文: Study these problems from production function and cost function of each firm, find out the frame of aggregate supply and production function, and prove that aggregate supply of products and aggregate demand of factors are the ones which realize the social
中文: 本文从各个企业的生产函数和成本函数出发研究这些问题，找到了社会总生产函数和社会总成本函数的构成形式，并证明了社会的产品总供给和要素总需求正好是在社会总生产函数下，实现社会利润最大化的产品供给与要素需求，从而为宏观经济学中的总供给和总生产函数建立了微观基础。
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