文献

In this paper,the definition modes of Lebesgue integral of non-negative measurable functions are studied by the way of cutting defining and valued rids,approaching with simple function series.The four definitions of Lebesgue integral of non-negative measurable functions are given.Furthermore,their e- quivalence properties are proved by elementary knowledge.

文献〔1」利用非负可测函数在Ef镇司上积分的极限定义了f在有界可测集E上的L积分；文献[2」利用非负递增简单函数列积分的极限定义了非负可测函数的L积分；文献[3]给出了L积分的一种统一定义；文献〔4一6〕分别证明了测度

An explicit definition of local peak is shown, and the existence condition of local peak is given. It is proved that the GA is constringent at the neighbor of its local peak. The theoretical evidences of some improvements on GA are given, which points out the way forward for improving GAs performance.

关于遗传算法的收敛性研究的一些典型结果包括：文献 [2 ]分析了在种群规模无穷的情况下典型遗传算法的收敛性；文献 [3]证明了典型遗传算法不收敛，而如果对算法采取记录每一代中最佳个体的策略，则改进的算法收敛；文献 [4]提出了一种等价的遗传算法，并给出了收敛条件与收敛速度；文献 [5 ]研

The algorithm for optimizing parameter is applied and effective,and is much better than that of common Genetic Algorithm,and has good perfectible application future.

文献[2]提出用模糊控制算法整定PID参数，文献[3]将Bang-Bang控制与神经网络自适应控制相结合，利用神经元的学习功能构成了一种自适应PID控制器，文献[4]以蚁群系统和蚁群算法为基础，提出了一种新的具有不完全微分的最优PID控制器的设计方法，文献[5]提出一种利用改进微粒群算法优化PID参数的方法。

Based on these, parallel computing problem of matrix tensor product is discussed, some parallel computing models are presented, the algorithm complexity is analyzed, and the thought and process are elaborated by an example. block matrix ; tensor product ; permuted similar ; parallel algorithms ; computational complexity

文献〔l论述了Cannon算法在工作站机群上的实现，文献[2]提出了一种基于对角划分的并行算法，文献〔3〕提出了在分布式环境下并行求解对称带状矩阵特征值问题的并行二分/多分法及其改进，文献41给出了稠密对称矩阵三对角化的MPI+OpenMP混合并行算法，还有著名的Cannon

In this paper ,the unusual phenomena of TTL JK edge-triggered flip-flops are brought forth by experiment when the Cp edge's time is excessive long , and the cause of it is proved up , the formulae for the maxima of CP edge's time are set up as well , which is consistent with the practical measurement.

文献[1]在TTLJK触发器的评价与选用概要中，把对CP边沿时间要求作为衡量触发器品质优劣的主要指标之一，文献[2]研究表明，若CP边沿时间过长，在CP下降沿会出现集成TTL主从JK触发器输出状态的错误变化。

Existing estimation methods,in our opinion,suffer from the shortcoming of point estimation of model parameters.

文献[1，2]较好地解决了单台系统可靠性增长模型参数的估计问题，文献[3，4]提出了两种不同的多台系统可靠性增长的模型参数估计方法。

An optimization model of net income after tax for single product in productiondistribution supply chain was established.

供应链是包括供应、制造、销售活动在内的物流、资金流、信息流一体化的公司网络系统·为满足供应链的整体目标，供应链中的公司可适当调整产品的交易价格，如采用转移价格、价格折扣、返点等方法实现[1～7]·文献[1]给出了一个优化跨国公司税后净收入的跨国供应链模型，建立了一个启发式解法，对原问题调整后应用连续线性规划进行了求解·文献[2]研究了公司内转移价格作为一种协调机制时的作用·本文在文献[1，2]的基础上，分析并建立了一个单产品生产销售供应链中总公司的税后净收入优化模型；最后，应用改进的进化规划算法进行了仿真实验计算·1

As an example to cubic trigonometric polynomial Bézier,the characters of trigonometric polynomial Bézier curve is analyzed,and deduced that cubic trigonometric polynomial Bézier curve is more smooth than cubic polynomial Bézier curve.

Bézier曲线是计算机辅助几何设计中的一类重要曲线，文献[1]介绍了三次Bézier曲线插值，文献[2]介绍了三次Bézier曲线的保凸插值，但难以解决一端曲率为0，另一端曲率比较大的插值问题。

A simulation-based model is applied to describing the phased-mission system with multi-repairer. Algorithms for calculation of the optimization quantity of spare parts are provided. To examine the applicability of the method, some examples are presented in this paper. Finally, the optimization quantity of spare parts following exponential distribution are calculated with both this method and analysable method.

近年来，许多学者在这方面进行研究，如文献[1]介绍了单阶段任务条件下部件寿命服从指数分布的备件携行量计算方法；文献[2]给出了其它几种特殊分布的计算方法，但都是针对单阶段任务条件下部件不可修情况的；文献[3]给出了一种基于BDD的多阶段任务备件携行量计算方法，但仍是仅研究了指数分布、且任务期间部件不可修的情况。

The edge matching method determines the optimal displacement vector between two successive frames by matching of the target edge template and the current unoccluded edge,and the template is updated in real time.

2多子模板匹配的方法，文献[7]以匹配误差判定子模板是否被遮挡，然后用灰度相关匹配继续跟踪目标；文献[8]基于最大

Just so you know where we're going...

只要让你知道我们的目标。。。

One of his friends acted as the gobetween in his business.

在这件事中，他的一个朋友充当了中间人。