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Multiple trials is the basic concept of many parallel simulated annealing. It is to perform multiple trials at the same time to search acceptable solutions. The division simulated annealing with no communication and The clustering simulated annealing are two common types of parallel simulated annealing methods. The division simulated annealing with no communication makes each processor generate its own adjacent solution from its own current solution and compute the acceptance probability for a adjacent solution. Each of the processors searches solutions without communicating each other. Clustering simulated annealing makes each processor generate its own adjacent solution from a common current solution and compute the acceptance probability for each adjacent solution. Then, it decides which adjacent solution should be used to replace current solution according to a pre-specified rule.

许多平行模拟退火法之理论依据为多向试验，利用同一时间探索更多方向的试验来拓展搜寻的广度或深度，不进行沟通的分工模拟退火法(the division simulated annealing with no communication)以及丛集模拟退火法(the clustering simulated annealing)皆为平行化的模拟退火法，前者定义为各个处理器针对各自的起始解进行搜寻，产生各自的搜寻序列，在搜寻过程中处理器不进行任何沟通，各处理器仅针对自身之目前解进行搜寻；而后者定义为让所有处理器针对同一目前解进行运算搜寻各自的可能解，并各自决定其产出解之接受机率，最后根据事先决定之规则进行沟通比较，挑选其中一个可接受解取代目前解。

Therefrom; heating said waste edible oil from which solid materials have been removed to a predetermined temperature, thereby removing moisture and materials of odor contained in the waste edible oil therefrom by evaporation; dissolving in alcohol a catalyst containing at least one type or more types of alkaline material selected from a group comprised of at least potassium hydroxide, potassium carbonate and potassium alcoholate, thereby preparing an alcoholic solution containing the catalyst; mixing said waste edible oil from which said solid materials, moisture and materials of odor have been removed with said alcoholic solution containing the catalyst and stirring the waste edible oil and alcoholic solution, thereby accelerating a catalytic reaction between the waste edible oil and the alcohol and obtaining a reaction product between the waste edible oil and the alcohol; separating said reaction product into a light solution and a heavy solution; mixing the light solution obtained in the separation step with a solid absorbent, thereby impurities such as residual catalyst, odor material, moisture contained in the light solution being absorbed by the solid absorbent; and separating and removing said solid absorbent from a mixture of the solid absorbent having absorbed the impurities and the light solution.

完成前述对象，根据这项发明的特点是获得的柴油燃油从废油脂透过几个步骤：去除固体材料包含在一个废油脂倾倒，从餐厅，食品厂，民政等因此；暖气说，废油脂从哪个固体材料已被调离到一个预定的温度，从而消除了水分和材料的气味，载于废油脂因此由蒸发；溶解在酒精的催化剂至少含有一种或更多类型的碱性材料选定由一组组成的至少氢氧化钾，碳酸钾和钾，醇，从而准备一醇溶液中含有催化剂；混合说，废油脂从哪个说，固体材料，含水率和材料的气味已被剔除与说，酒精性解决方案载有催化剂和搅拌废物食用油及含酒精的解决办法，从而加速催化反应之间的废油脂及酒精和获得反应产物之间的废油脂及酒精；分开说，反应产物成为一个轻型的解决方案和沉重的解决方案；混合轻解决方案，获得了在分离一步一个坚实的吸水性，从而杂质，如残留的催化剂，气味的物质，水分，载于轻解决方案，被吸收的固体吸收剂；分离和消除说，固体吸附剂从混合物对固体吸收剂吸收了杂质和轻便的解决办法。

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

Wherein, the chemical formula of said compound is γ-HaKbNac(H2O)dNixM1-XO2 and the method comprises that mixing the nickel salt solution and at least one metal salt solution to attain the solution A; preparing caustic soda or caustic potash solution and adding sodium carbonate or potassium carbonate to attain the solution B; preparing the ammonia solution C; reacting the A, B, and C, processing the solid-liquid separation to attain the ball α nickel hydroxide; reacting with the oxidant in the solution of caustic soda or caustic potash to attain the black solid-liquid mixture and processing the solid-liquid separation to attain the ball γ hydroxyl nickel oxide.

其化学表达式为γ-HaKbNac(H2O)dNixM1-XO2，将镍盐溶液与至少一种金属盐溶液混合得溶液A，配制氢氧化钠或氢氧化钾溶液，加入碳酸钠或碳酸钾得溶液B；配制氨水溶液C；将A、B、C反应，固液分离，得球形α氢氧化镍；在氢氧化钠或氢氧化钾溶液中与氧化剂反应，得黑色固液混合物，再固液分离，得球形γ羟基氧化镍。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

Necessary and sufficient conditions for the existence and the expressions of selfconjugate solution, perselfconjugate solution, centrosymmetric solution, bisymmetric solution, skewselfconjugate solution, skewperselfconjugate solution, skewcentrosymmetric solution, and skewbisymmetric solution to 4 kinds of systems of linear matrix equations over a regular ring with an involutorial antiautomorphism are given.

利用矩阵技巧和所建立的矩阵理论，给出了正则环上五类矩阵方程组有解的若干充要条件和一般解的表达公式。这些矩阵方程组除了它们在理论上有重要的意义外，还有重要的应用价值。在具有对合反自同构的正则环上，给出了四类矩阵方程组有双对称解，中心对称解，斜中心对称解，广自共轭解，斜广自共轭解，自共轭解以及斜自共轭解的充要条件及其这些解的具体表达式。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

By using constructive methods and complicated techniques of matrices, necessary and sufficient conditions for the existence of selfconjugate solution, perselfconjugate solution, centrosymmetric solution, bisymmetric solution, skewselfconjugate solution, skewperselfconjugate solution, skewcentrosymmetric solution, skewbisymmetric solution and various interlaced solutions over a finite central algebra Ω to systems of generalized Sylvester matrix equations overΩ are presented.

利用构造方法和复杂的矩阵技巧，研究了有限维中心代数上的多项式环Ω上的广义Sylvester矩阵方程组在Ω上有自共轭解，斜自共轭解，广自共轭解，斜广自共轭解，中心对称解，斜中心对称解，双对称解，斜双对称解及其各种交错解的充要条件。

A preparation method of the visible-light photocatalyst Bi2WO6 nano-powder is characterized by comprising the steps as follows:(1) the selection of raw materials;(2) bismuth nitrate Bi(NO33 question mark 5H2O is added into a citric acid solution to obtain the citric acid solution containing white sediment;(3) EDTA is added into ammonia water which is then added dropwise with the citric acid solution containing the Bi(NO3)3 question mark 5H2O so to obtain a solution of bismuth;(4) the solution of bismuth is added with (NH4)6W7O24 question mark 6H2O solution to form a precursor solution which is then stirred, dried, coked, cooled and ground to obtain decarburized powder;(5) the decarburized powder is roasted for 2h to 4h under 450 DEG C to 550 DEG C to obtain the visible-light photocatalyst Bi2WO6 nano-powder.

可见光催化剂Bi 2 WO 6 纳米粉体的制备方法，其特征在于它包括如下步骤：1原料的选取；2将Bi(NO 3 ) 3 5H 2 O加到柠檬酸溶液中，得到含有白色沉淀的柠檬酸溶液；3将乙二胺四乙酸加到氨水中，并缓慢滴加入含有Bi(NO 3 ) 3 5H 2 O的柠檬酸溶液中，得铋的溶液；4将(NH 4 ) 6 W 7 O 24 6H 2 O溶液加入上述铋的溶液中，组成前驱液；搅拌，干燥，焦化，冷却后，研磨，得去碳的粉体；5将去碳的粉体在450～550℃下焙烧2～4h后，得到可见光催化剂Bi 2 WO 6 纳米粉体。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。