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The third chapter is about the optimal control for a class of age-dependent competitive population dynamics with diffusion, the continuity properties of the system solution in terms of the control variable is certificated, the Normal cone theory is applied and the necessary conditions of optimal control problem is obtained.

第三章研究了一类年龄相关的具有空间扩散的竞争种群系统最优控制问题，证明了最优解关于控制变量的连续依赖性，应用法锥理论，得到了最优解的必要条件。

The ability of the ionosphere to reflect these waves is dependent upon normal variations in the electron density at different levels.

电离层反射电波的能力取决于不同高度上电子密度的正常差别。

Every organ of our body are dependent on blood circulation to maintain normal function.

每一个器官的身体依赖于血液循环，以维持正常功能。

Introduces the notion of Feynman's path integrals and path integrals approach to financial modeling; Derives the path-dependent options pricing formula by making use of the Lagrange form of path integrals; Discusses Ilinski(2003)'s Gauge model which based on path integrals and fibre bundle, and its application for real-options evaluation; Summarizes the general modeling framework of options evaluation, taking advantage of the Hamilton form of path integrals; Applies the Geske-Johnson's analytical approximation in the path integrals form to the real-options evaluation for investment decisions, detailed procedure is presented under the assumption that underlying asset price dynamic follows a geometric Brownian motion, and the integral reduction for multivariate normal integrals and polynomial approximation for real-options evaluation is given.

系统论述了路径积分概念方法及其在期权估值中的应用，利用路径积分方法的Lagrange表述推导了路径依赖期权定价公式：探讨了基于路径积分和纤维丛的Gauge模型思想方法在实物期权价值评估中的应用；利用路径积分的Hamilton表述形式，总结了基于Hamilton表述的期权估值一般化框架；基于路径积分的形式框架建立了一个新的投资期权估值模型，并在具体的估值算法中给出了多重正态积分的降阶计算和期权价值的多项式逼近方法。

In short period of time, there is no obvious noxiousness and no obvious concentration-dependent effects of HAP on liver slices, but it could induce antioxidative enzyme activity of slices.

短期内HAP对肝切片无明显毒性作用，不表现浓度效应差异，可使肝细胞抗氧化酶活性升高。

Every kind of materials in granite is inter-dependent to nuclide absorptive action.

单裂隙岩体对核素吸附实验的结果表明：花岗岩对〓I的吸附性能较〓Cs弱。

Every baby is different but it is generally recommended to not let baby fall asleep while nursing or taking a bottle as this is bad for developing teeth, and creates a habit where baby will become dependent on the comfort of feeding to fall asleep.

每一个婴儿是不同，但一般建议不要让婴儿入睡，而护理，或采取了一瓶，因为这是坏牙齿发育，并创建一个习惯，如婴儿将成为依赖于舒适的吃饭入睡。

The results indicated that low-dose of Chinese nutgall water extract(2.5、5、10μg/ml)resisted the inhibitory effect of LPS to HDPCs'ALP activity significantly . From the second day , the ALP activity of HDPCs incubated with 5μg/ml Chinese nutgall water extract and LPS increased signicificantly in a time-dependent manner.

结果显示，低浓度(2.5、5、10μg/ml)五倍子水提取物能明显拮抗100μg/ml内毒素对细胞ALP活性的抑制作用，5μg/ml五倍子水提取物拮抗100μg/ml内毒素对细胞ALP活性的抑制作用第2天开始明显增加，并呈时间依赖性。

The results indicated that HDPCs'proliferation was inhibited significantly when they were cultured in DMEM with 50、100μg/mlLPS. Low-dose of Chinese nutgall water extracts( 1.25、2.5、5μg/ml) resisted the inhibitory effect of LPS to HDPCs'proliferation significantly .From the third day , the proliferation activity of HDPCs incubated with 2.5μg/ml Chinese nutgall water extract and LPS increased signicificantly in a time-dependent manner.

结果显示，培养液中加入浓度为50μg/ml、100μg/ml的LPS时，HDPCs的增殖活性受到明显抑制，加入低浓度(1.25μg/ml、2.5μg/ml、5μg/ml)五倍子水提取物能明显拮抗100μg/ml的LPS对HDPCs增殖的抑制作用，2.5μg/ml五倍子水提取物拮抗100μg/ml的LPS对HDPCs增殖抑制作用第3天开始明显增加，并呈时间依赖性。

This is also dependent on the complexity of the glass object.

这也取决于玻璃物体的复杂性。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。