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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。

After the contrast experiment, the 732 cation resin is used to depurate the GSH solution, the concentration of the eluant is the 0.2 mol/L NaOH solution, the GSH maximum returns-ratio is 68.37%.

经过对比试验采用732阳离子交换树脂进行谷胱甘肽粗提液的纯化，洗脱液选择浓度为0.2 mol/L的NaOH溶液，谷胱甘肽最大回收率为68.37%。

After the contrast experiment, it uses 732 cation resin to depurate the GSH solution, theconcentration of the eluant is the 0.2mol/L NaOH solution, the GSH maximum returns-ratio is 68.37％.

经过对比试验，本研究采用732阳离子交换树脂进行谷胱甘肽粗提液的纯化，经试验洗脱液选择浓度为0.2mol／L的NaOH溶液，谷胱甘肽最大回收率为68.37％。

Our study showed that povidone-iodine solution as well as sodium hypochlorite solution with the concentration greater than 0.125% was bactericidal. The use of these two antiseptics in the treatment of dermatophytosis complex seems to be promising.

我们研究发现普维酮－碘溶液和次氯酸钠溶液在浓度0.125%以上有杀菌效果，使用它们治疗复杂性足癣霉菌病似乎是大有可为的。

Therefore we added three candidate antiseptics-sodium hypochlorite solution, propolis, and povidone-iodine solution-to the treatment strategies and compared in vitro the antibiotic activities against Pseudomonas aeruginosa. We intended to know whether the antiseptics used in the past were effective and meanwhile exploring new potential antiseptics for the treatment of dermatophytosis complex.

为了解这些过去使用的杀菌剂是否有效，并同时探索有效的新杀菌剂来治疗复杂性足癣霉菌病，我们又加入了三种杀菌剂－次氯酸钠溶液、蜂胶，和普维酮－碘(povidone-iodine)溶液－来比较它们对绿脓杆菌的体外抗菌活性。

Based on the relationship and the phenomenon model, an improved model of MR damper has been presented in this paper.

摘 要：本文在实验数据的基础上建立了磁流变阻尼器输出力与不同常电流控制量的关系，对现有的 p模型进行了改进。

I don't think our founding fathers were very fuckable.

我认为我们的开国元老没什么吸引力