ID	原文	译文
4033	其次，利用广义分式规划理论将其转化为一个混合整数非凸减式优化问题，并通过引入松弛变量、反证法和辅助变量将非凸减式问题进一步转化为一个等价的凸问题。	Based on the generalized fractional programming theory,the original problem was transformed into a mixed integer nonconvex subtraction problem. With the aid of the slack var-iable, the proof by contradiction, the auxiliary variable and the mixed integer nonconvex subtraction problem were furthertransformed into an equivalent convex problem.
4034	最后，提出一种迭代算法来获取原优化问题的最优解。	Finally, an iterative algorithm was proposed to obtain the optimal solu-tions.
4035	实验仿真验证了所提迭代算法的快速收敛性，并证明了所提资源分配方法能够有效地保障用户能效公平性。	Computer simulations validated the quick convergence of the proposed iterative algorithm, and that the developedresource allocation scheme efficiently guarantees the fairness among users in terms of EE.
4036	针对云计算密文检索方案的效率问题，提出了基于分块的移动边缘计算密文检索方案。	Aiming at the efficiency of cloud computing ciphertext retrieval scheme, a method of ciphertext retrieval inmobile edge computing based on block segmentations was proposed.
4037	首先，引入了边缘服务器计算文档相似性得分，从而减少了云服务器的计算开销，提升了云服务器的处理效率；	Firstly, the edge server was introduced to calculatethe document similarity score, thereby the computational cost of cloud server was reduced and the processing efficiencyof cloud server was improved.
4038	其次，在 MRSE方案基础上通过分块方法过滤掉大部分与查询无关的关键词，从而提高了计算文档相似性得分的效率。	Secondly, most keywords that are not related to the query were filtered out by a method ofblock segmentations based on the MRSE scheme, thereby the efficiency of calculating the document similarity score wasimproved.
4039	理论分析和实验结果表明，所提方案在已知背景威胁模型下是安全的，与现有方案相比，所提方案在具有相同安全性的同时具有更高的检索效率。	Theoretical analysis and experimental results show that the solution is safe under the known background threatmodel. Compared with the existing scheme, the proposed scheme has the same security and higher retrieval efficiency.
4040	为了从输入信号中自适应地对信号的广义主元进行估计，基于 Hebbian 线性神经元模型，提出了一种新型广义主元分析算法。	In order to adaptively estimate the generalized principal component from input signals, a novel generalizedprincipal component analysis algorithm was proposed based on the Hebbian linear neuron model.
4041	该算法通过当前时刻的采样值来估计信号的自相关矩阵，有效地降低了算法的计算复杂度。	Since the autocorrela-tion matrices of the signals were estimated directly from the sampled data at the current time, the proposed algorithm hadlow computation complexity.
4042	利用 Lyapunov 稳定性定理进行平衡点分析表明：当且仅当神经元权向量收敛到信号的广义主元时，算法到达稳定状态。	Trough analyzing all of the equilibrium points by Lyapunov method, it is proven that if andonly if the weight vector in the neuron had the same direction with the generalized principal component, the proposed al-gorithm attains the convergence status.