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MSG and SG theory are generalized to compressible material based on a new decomposition of strain gradient tensor, because the original MSG and SG theories are only suitable for incompressible materials.

因为原先的MSG和SG理论只能适用于不可压缩材料，所以在重新分解应变梯度张量的基础上，本文把MSG和SG理论拓展到可压缩材料。

MSG and SG theory are generalized to compressible material based on a newdecomposition of strain gradient tensor,because the original MSG and SG theoriesare only suitable for incompressible materials.

因为原先的MSG和SG理论只能适用于不可压缩材料，所以在重新分解应变梯度张量的基础上，本文把MSG和SG理论拓展到可压缩材料。

The cost functions of the linear transversal and decision-feedback blind equalizers are proposed in this thesis, which are strictly convex function with respect to the complex tap-weight vector of the equalizer and the error probability. It is proved that their global convergence are guaranteed by using gradient algorithm.

本文提出了线性横向结构的盲均衡价值函数，DF结构的盲均衡价值函数，证明了这两种价值函数对均横器抽头矢量和系统误差概率，都是严格U函数；并且证明了用梯度算法，这两种价值函数保证收敛到全局极小点。

Analog to the discontinuous bifurcation analysis for classic elasto-plastic theory by Ottosen and Runesson et al, the sufficient and necessary conditions of weak discontinuity and strong discontinuity localization bifurcation for the strain-gradient-enhanced-damage model are obtained.

借鉴Ottosen和Runeson等的弹塑性模型不连续局部化分岔方法，对应变梯度损伤模型推导出与梯度相关的强不连续和弱不连续局部化分岔充要条件。

Functional plant ecology is subdiscipline of ecology which studies plant traits variation among species and along an environmental gradient as well as its ecological and evolutionary significance.

植物功能生态学是研究植物种类间或环境梯度内植物某一功能性状变化，阐释其进化意义或生态意义的生态学分支学科；围绕3个主题开展工作：(1)利用功能性状作为研究解释的变量，(2)在种类间，清晰地进行性状比较，表述一般趋势，(3)在环境梯度内，清晰或模糊地比较性状的变化。

The moisture and salinization movement mathematical model in the field under subdrainage condition is based on the assumption of neglecting the effects of horizontal hydraulic gradient,It can analogy the changes of soil water content and salinization which are changed with times and depth.

论文在忽略水平方向水力梯度影响的假定下建立了排水条件下麦田水盐运移模型，模拟土壤水盐含量随时间、空间的变化情况。

Based on hf=λL/DV2/2g,formulain the form of hf= K1·F has beenderived for the hydraulic gradient lines of laterals of subirrigation systems. The formula is also applicable to that of a drip irrigation system. Anotherformula,based on Chezy's V=C RS,in the from of Hf=K2IQ2·F2 has been worked out for the laterals of sprinkler systems.

本文运用管道水动力学原理，对喷灌、滴灌、渗灌系统灌水支管的水力坡降线导出表达的理论公式，讨论其调控的可能途径，为试验研究这类系统的规划设计问题从原理上提供一个分析方法。

In this paper the characters of MA model and the trust region method are analyzed, a subproblem with MA model and trust region technique is presented, and a projected gradient method is use.

本文分析了MA模型和信赖域方法的特点，构造了MA模型信赖域子问题，并利用投影梯度法进行求解，在此基础上提出了一个新的求解非线性规划问题的MA模型信赖域方法。

This updating rule for penalty parameters only require a few iterations in solving each subproblem and the gradient of the barrier function does not need to satisfy strict conditions.

这一惩罚参数的校正规则保证在求解子问题时只迭代少数的几次，而不需要障碍函数的梯度满足苛刻的条件。

The concept of gradient matrix in subspace is presented for the first time.

首次提出了子空间上梯度矩阵▽F

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。