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In Chapter 1, two solutions to the elliptical boundary value problem have been constructed through a monotone iterative process, and they might be identical. In Chapter 2, the author expresses the local solution to the parabolic initial boundary value problem taking advantage of Green function. In Chapter 3, the asymptotic solution to the initial value problem of Duffing equation is obtained and the method for finding the approximate solution to the inverse problem is put forward.This paper is planned with a view to the author's research means.

从研究结果看：第一章通过单调迭代过程构造出椭圆型方程的边值问题的两个解，并且指出二者可能是同一个解；第二章利用格林函数给出了抛物型方程的初边值问题的局部解的解析表达式；第三章中，先对Duffing方程的初值问题写出解的渐近展开式，再对其反问题提出一种求近似解的方法。

In system on chaos state, motion trajectory controlled by a equation is sensitive to initial conditions. For example, two trajectory from two close initial values were not very difference at short notice. But the distinct difference will presented consequentially after an enough long time.

混沌状态下的系统，按照某方程运行的轨道敏感地依赖于初始条件，例如从两个邻近的初值出发的两条轨道，在短时间内似乎差距不大，但在足够长的时间以后，必然呈现出显著的差别。

The experimental results show that:(1) for ideal spheres, the attenuation coefficient of velocity is constant, the air drag coefficient is slightly affected by the initial velocity and is a linear function of initial velocity, and (2) for real fragments formed by a warhead, the flight performances are different from ideal spheres, the air drag coefficient is affected by the flight velocity and is a linear function of flight velocity.

实验结果表明：(1)对于理想球形钨合金破片，在同一初始速度条件下，衰减系数为常数，空气阻力系数与初始速度有关，两者成线性关系；(2)对于经历爆轰驱动的球形钨合金破片，由于有轻微的质量损失和变形，速度衰减规律与理想球形钨合金破片有明显的区别，空气阻力系数与飞行速度有关，两者成线性关系。

The formation and evolution of magma have experienced three stages:① thermal fluid led to higher partial melting of lithosphere mantle and then formed hypoalkaline basalt with saturated initial sulfur when ascending asthenosphere contacted with the lithosphere mantle;② the initial magma intruded into the lower crust to form magma chamber, the crystallization of magma produced stratiform-like cumulate, including olivine, hypersthene, augite, magnetite, and then formed residual gabbroic magma with the participance of crustal material;③ the residual magma and ore-bearing cumulate intruded upward successively to shape original mafic complex rocks in Wuxing when the magma chamber cracked.

岩浆形成与演化经历了3个阶段：①上升的软流圈与岩石圈地幔接触，热流体作用导致岩石圈地幔发生高度部分熔融，形成初始硫饱和的次碱性玄武岩；②初始岩浆上侵，在下地壳形成岩浆房，岩浆结晶作用形成以似层状橄榄石、紫苏辉石、普通辉石和磁铁矿等为主的堆晶岩，在地壳物质的参与下形成残余辉长质岩浆；③岩浆房破裂，残余岩浆和含有熔体(0%)的堆晶岩相先后上侵形成五星原始镁铁质杂岩。

For the general two-step bleaching technique, peracetic acid are used as the initial bleacher, peracetic acid and hydrogen peroxide used as the further bleacher, to investigate the bleaching effect of flax textile, and are compared with the technique that sodium hypochlorite is used as initial bleacher and hydrogen peroxide as further bleacher through industrial tests.

对于两步漂白工艺的总体研究，分别研究了以过氧乙酸为初漂剂，过氧乙酸、双氧水为复漂剂，进行了亚麻织物漂白效果的研究；并通过工业化放大实验在漂白效果与经济成本上与现行的次氯酸钠初漂、双氧水复漂工艺进行了对比。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述，基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合，导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性，将结构各物理参数和温度的初、边值条件均视为区间变量。

Under some reasonable assumptions of the'Distribution Matrix', the Riemann Problem with piecewise constant initial data is proved to have a unique Riemann Solver; furthermore, using'Wave Front Tracking Method'and properties of the'Generalized Characteristics', we prove the existence of weak entropy solution to the Riemann Problem with arbitrary initial data of bounded Total Variation.

在"分布矩阵"满足合理的假设前提下，证明了具有分片常值初始条件的黎曼问题的黎曼解算子的存在唯一性；并进一步运用"波前追踪法"和"广义特征"等得到了具有任意有界全变差初值条件的广义黎曼问题的弱熵解的存在性。

When making an initial cut of two harvested rows into a cane field, the two harvested rows are separated from an adjacent row on each side of the harvested rows by each of the two crop divider scroll assemblies 30. After the initial two-row cut.

当收割机进入一块甘蔗地进行收割时，收割机上左右各一的螺旋装置30将扶持还没收割的邻近甘蔗并将其与正在收割的甘蔗行分开。

In this case, it is traditional to identify the cardinal number with its initial ordinal, and we say that the initial ordinal ''is'' a cardinal.

在这种情况下，传统上识别基数为初始序数，并称呼初始序数是基数。

Chlorophenol (4-CP) solution was treated by US/UV synergetic catalysis technology and the major influencing factors such as the sound intensity, initial pH value of solution, initial 4-CP concentration, the amount of catalyst and medium temperature were examined in this paper.

选择掺杂过渡金属离子Fe3 +的纳米TiO2 为催化剂，研究了US UV协同催化氧化水中对氯苯酚(4 CP)的降解效果，考察了对氯苯酚的起始浓度、超声波声强、溶液初始pH、饱和气体种类、反应温度和催化剂投加量对氯苯酚降解速率的影响。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。