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The concept and definition of linear process with independent increments were presented. Then the regression model and analysis method for linear process with independent increments were established. Furthermore, the regression equation and confidence limit curves were given.

提出了线性独立增量随机过程的概念和定义，建立了线性独立增量过程回归模型及其分析方法，给出了回归方程和高置信度、高可靠度的置信上、下限曲线。

When we apply the fuzzy theory to a linear programing problem, we get a fuzzy linear programming problem.

应用在线性规划问题上，就产生了模糊线性规划。

Considering the fact that the self constraints of the design variables can be formulated as the linear functions in the present process optimization, the nonlinear part of the constraints is dealt by introducing the concept of active constraint set. The linear part is dealt by the gradient projection method specially.

同时考虑到现在的优化求解问题中，设计变量自身的约束可以合理地表示成线性函数的形式，因此对于优化问题的非线性约束部分，通过引入活动约束集的概念进行处理；而对于线性边界约束，则采用梯度投影法作专门处理。

In the following two cases:(1)gcd=1;(2) N=p〓, where p denotes the characteristic of the finite field GF, by using the factorization of the polynomial in finite field, the counting function N〓 is showed, the expected value of the linear complexity E〓 is determined, and a useful lower bound on the expected value of the k-error linear complexity E〓 is established.(7) The stability of the lattice structure for pseudorandom number sequences is put forward.

利用多项式的因式分解等简单工具，研究了任意有限域GF上，周期N与p互素以及N ＝P〓这两种情况下，计数函数N〓，的值，即线性复杂皮为c的N-周期序列的个数，并给出了线性复杂度的数学期望E〓的值以及k-错线性复杂度的数学期望E〓的一个有用的下界，这里p表示有限域GF的特征。

Highly precise quadra order non-linear formula is set up, which gives the satisfactory density value of highly pure aluminum (99.999~99.99999 %) at 20 oC.Linear approximate formula for the density calculation of 99.75% primary aluminum (molten point in the range of 658.7℃～1100℃) derived f...

以Jagrangian插值的二次多项式和一次多项式导出的 99.75 %原铝(熔点 6 5 8.7℃～ 1 1 0 0℃)的密度计算的线性近似式、该式子较文献〔1〕所述的还要简单，而数值计算结果却高度吻合。

Simulation results prove that the performance of the new method is similar with the linear interpolation method at the lower velocity; while it is better than the linear interpolation method at the higher velocity and a little worse than the quadratic polynomial interpolation.

通过仿真表明，在低车速时，该算法的误比特率性与线性插值方法基本相同；而在中高车速时，该算法的误比特率性能要明显优于线性插值信道估计方法，与二次插值信道估计方法的性能基本相同。

Based on the analysis of linear quadratic optimal system and PID control system,the paper develops a method for PID parameter optimizing,which is obtained from the principles of time-domain designs and optimization for linear quadratic optimal control system.

本文通过对基于时域状态空间描述的线性二次最优控制系统和基于输出反馈的频域PID控制系统的对比分析，提出一种由PID动态补偿网络实现线性二次最优控制的方法，仿真结果验证了该方法的合理性。

In chapter 5, considering an AC/DC system that includes two DC lines. Based on feedback linearization in the nonlinear systems and linear quadratic optimization control theory in the linear system, two new nonlinear additional controllers are designed in the same time.

第五章针对包含两条直流传输线路的交直流互联系统，采用状态反馈精确线性化方法与线性系统的二次最优控制相结合的方法，同时设计了两条直流线路的非线性附加控制器。

Moreover, the system also integrates linear regulator which is quite applicable in on-chip power supply system. Founded on studying the electrical characteristic of it in quasi powered-off state, the linear regulator realizes an efficient energy transfer from storage capacitor to secure circuits.

此外，该系统还集成了适用于片上电源系统的线性调整器，研究了准掉电模式下线性调整器的电特性，实现了将存储电容的能量高效的转换给安全电路。

The ordinary structure mapping methods mainly include two kinds in an area of linear or quasi linear variation of velocity with depth: the one is space correction for isochronic t 0 map resulted from interpretation of stack section; the other is to using uniform velocity for time depth conversion of isochronic t 0 map resulted from interpretation of migration section.

石油地球物理勘探，2 0 0 1，36 (5 )：6 18～ 6 2 5 在速度随深度呈线性或准线性变化的地区，主要有两种常规构造成图方法：1对由水平叠加解释剖面得到的等 t0 图进行空校；2对由偏移解释剖面得到的等 t0 图采用统一速度进行时—深转换。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。