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In order to analyze the influence of filled metal particles on impact force for hydraulic pile hammer, analytical solution of mathematic model for pile hammer filled with metal particles considering effects of metal particles was presented. In the solution, lumped mass were used as metal particles, a spring was used as contact stiffness between metal particles and hammer body, different variable lumped masses were used as pile hammer, the ram and anvil, a spring and a dashpot were used as the anvil cushion and pile respectively.

为分析填充金属颗粒对打桩锤锤击力的影响，考虑填充金属颗粒的作用，用集中质量块表示填充的金属颗粒，用弹簧模拟金属颗粒与锤体相碰处的接触刚度，用不同的集中质量块表示桩锤、砧座和桩帽，用并联的弹簧、阻尼器表示锤垫，用弹簧表示桩垫，用阻尼器表示桩，建立了平衡方程。

The CC solution with 7% mass fraction was exposed to solution spinning in presence of 7% dilute sulfuric acid as coagulation bath after filtration and deaeration.

探索了尿素对纤维素氨基甲酸酯/氢氧化钠溶液的增溶作用，考察了不同浓度CC溶液的流变性能，选择CC质量分数为7%的溶液经过滤、脱泡后，以7%的稀硫酸为凝固浴进行溶液纺丝。

The lower optimal solution is also influenced by the upper decision variable, which is feed back to the upper level, furthermore influence the upper programming problems optimal solution.

下层问题的最优解又受上层决策变量的影响，其解反馈到上层而影响上层规划问题的最优解。

According to the characteristic of the inverse problems of ECT, the minimum norm solution was improved using regularization technique , and the stability of the numerical solution was analyzed via singular value decomposition principle.

在分析极小范数解的基础上，针对电容层析成像逆问题的特点，利用正则技巧对其进行改进，并利用奇异值分解定理分析了这种改进的数值稳定作用。

In this paper another deductive proof of the algorithms for the recursive solution of the system of linear equations with a Toeplitz coefficient matrix is considered, and formulas for the specific recursive solution of the various forms of the system of linear equations in accordance with a Toeplitz coefficient matrix are given.

本文给出了具有托布里兹系数矩阵线性方程组递推解法算式的另一推导证明方法，并给出了基于托布里兹系数矩阵的各种线性方程组的具体递推解法公式。

In this study, the vendor production process is assumed to deteriorate during processing and produce a certain number of defective items. Then, a mathematical model is derived and a solution procedure is established to find out the best solution when the vendor is a leader and the buyer is a follower.

本研究假设卖方的生产系统为一个不完美生产的状况，依此进行数学模式之推导，探讨当卖方为领导者、买方为跟随者时的最适决策方法。

In this paper, we will discuss the existing condition of the periodic solution of Duffing type equation with damping term. We use homeomorphism and fixed point method to prove the periodic solutions existence. We try to loose its condition, analysis and then get the existing condition of periodic solution according to defining atmospheric dynamics equation.

本文中，我们探讨带阻尼项的Duffing型方程周期解的存在性条件，运用不动点方法和Leray-Schauder度理论来证明其存在周期解，尽可能放宽其约束条件，并针对具体的大气动力学方程，分析并求取其周期解的存在性条件。

The optimal and worst solutions of each objective function are obtained, and the solution with the earliest start-time under the fewest number is found. A series of noninferior solutions that have the earliest start-time are obtained after increasing the number of selected depots continually. The original model can be converted to search for a solution that has maximum approximation degree of positive-negative perfect point.

分别求出各个目标函数的最优解和最劣解，寻找使出救点个数为最优情况下使应急开始时间最早的解，在此基础上增加出救点的个数继续寻找，并将备选出救点集合缩小为运输时间小于上一次应急开始时间的出救点；得到一系列非劣方案后，对各目标函数按照具体情况赋予一定的权重，将原问题转化为求解使正负理想点接近度最大的非劣调度方案。

In recent years, much hard work has been done by scholars from all over the world. These work has mainly involved the denaturation mechanism of proteins in water, in the solution with denaturant and in the solution with other matters.

近年来，国内外学者在此方面做了大量的工作，主要涉及蛋白质在水溶液中的变性机理、在有变性剂存在下水溶液中的变性机理及在含有其它物质水溶液中的变性机理。

Nano-silver solution was prepared by deoxygenation with natural cactus solution, which is simple and non-polluting.

利用纯天然仙人掌液还原制备了纳米银溶液，其制备方法简单，无污染。

Effective local search tactics reaches local searchers when they are ready to buy - with every way that it is possible for them to buy from you.

有效的地方搜索策略达到当地的搜索，当他们准备购买-以各种方式，这是他们有可能从您那里进行购买。

The first two are periodic sentences for their beginnings; and the fifth and the last are also periodic sentences each for the embedding of a parenthetic structure.

1960年代中后期，当战后女权主义和当时的许多其他抗议运动在西欧和北美发展成某种势力时，性别的概念演绎成补充和延伸生物性别差异的概念。