查询词典 solution set of equation

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。

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。

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。

Chapter 3, we study the stability of approximate solutions of nonlinear equation problems(the continuous function is defined in the linear normed space).We prove that most of approximate solutions of nonlinear equation problems are stable; all accurate solutions are the essential points of the set of approximate solution; the connected component which contains the accurate solution is the essential component of the set of approximate solution; especially the number of essential components is finite.

第三章，研究定义在线性赋范空间上的非线性方程问题近似解及其解集的稳定性，得到线性赋范空间上在Baire分类下大多数非线性方程问题的近似解都是稳定的；精确解是近似解集的本质解；包含精确解的近似解集的连通区是本质连通区；包含精确解的近似解集的连通区为有限个。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

Therefore,it is necessary to research diffusion equation for suspended sediment because it describes the sediment move process in the water body.The equation is a various coefficients second-order linear partial differential equa-tion,such equation under complex boundary condition is very difficult to get its analytical solution,while its numerical solution relative analytical solution is more easier and has the obvious superiority:simple,the computation convenience.but to get a kind of difference format which is good accuracy and stability is not easy.

泥沙扩散方程实际上是一个变系数的二阶线性偏微分方程，这样的方程在各种复杂边界条件下求解是十分困难的，求它的解析解在数学上存在着难以克服的障碍，无法求出其精确解，因此常用数值方法求它的近似解，相比较而言，数值方法有着明显的优势：即简单灵活、计算方便快捷，但要寻找一种精度高、稳定性好、计算方便的差分格式也并非易事。

From the Maxwells equations in integral form directly, the Maxwell Grid Equations are derived through discretization of the solution space and the equations, and thereout the common equation of arbitary structures. Secondly, the solution uncertainty of a common electro-magnetic equation is proved and a strategy is advised to get the unique solution of the finite integration equation.

直接从积分形式麦克斯韦方程组出发，通过空间离散与方程离散得到麦克斯韦网格方程组，由此得到任意结构的一般方程；深入分析了麦克斯韦网格方程组的代数特性，论证了其解的不确定性，并指出了一种可避免解不确定性的措施。

One kind is using the particular solution of the indefinite equation, which can be obtained by the property of the prime number , and the foundation system of solution of its corresponding homogeneous equation ,obtains its solution formula. Another kind is under the foundation of the matrix primary line transformation, and with the aid of some knowledge of numeral theory, obtains its solution formula.

一种是利用该不定方程的一个特解和其相对应的齐次方程的一个基础解系，得出该不定方程的求解公式，而这个特解可以由素数性质得到；另一种是在矩阵的初等行变换基础上，借助一些数论知识，得出该不定方程的求解公式。

A list of the new solution is created by inserting properties of a guide solution into an initiate solution. The list is used to update reference set in order to evolute the solution. The solution update method of the reference set with diversification detection and decentralization mutation strategy is proposed in the path relinking algorithm.

路径重连算法维护一个由高质量解组成的参考解集，将一个向导精英解的属性逐步引入一个起始精英解而形成的中间解序列，并用此中间解序列更新参考解集以获得进化。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

If this is not specified, then it is defaulted to 25

如果这是没有指定，则默认为25

Cott invited his mother over for dinner.

COTT邀请母亲来他的房子晚餐。