以下为句子列表：
英文: A descent algorithm for solving unconstrained optimization is discussed. Global convergence result is established with inexact line search.
中文: 摘要研究了求解无约束优化问题的一种共轭下降算法，并在非精确线搜索条件下证明了该算法的全局收敛性。
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英文: In this paper we reformulate GCP a sasystem of nonlinear equations, and the GCP is reformulated as unconstrained optimization problem, as for the optimization problem, the damped Gauss-Newton Method algorithm of two kinds of steps is employed for obtainin
中文: 摘要本文将广义互补问题转化为一个非线性方程组问题，然后建立了GCP问题的无约束优化问题的转化形式，对该优化问题，用两种步长下的阻尼高斯牛顿算法来求解，并给出了两种情况下算法的全局收敛性。
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英文: In this paper, a new dynamic programming algorithm for unconstrained 2D stock cutting problem is presented.
中文: 摘要本文给出了一种求解无限制板材下料问题的动态规划解法，对该算法的计算复杂度进行了分析。
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英文: It is no doubt that unconstrained imagination can bring free happiness, but it is only a House in the Air in a gaudy cover.
中文: 无可否认，天马行空的想象带来无束无缚的愉悦，然而终究是披着霓裳的“空中楼阁”。
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英文: By constructinga new mathematic model, the protein folding problem of three-dimensional AB model is converted from a nonlinear constraint-satisfied problem to an unconstrained optimization problem.
中文: 通过构造新的数学模型,把三维AB模型的蛋白质折叠问题由一个带约束的优化问题转化为无约束优化问题,然后提出一个模拟退火算法。
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