查询词典 solution set

Fast algorithm of minimal norm least square solution for Cauchy linear system;2. For the m×n Cauchy-type matrix with full column rank,the fast algorithm of the minimal norm least square solution to the linear system Cx=b was obtained by construction of a special block matrix and study of the triangular decomposition.

对于秩为n的m×n阶Cauchy型矩阵C，通过构造特殊分块矩阵并研究其三角分解，进而得到了线性方程组C x=b的极小范数最小二乘解的快速算法，所需运算量为O+O(n2)，而通常构造法方程组的方法所需运算量为O(m n2)+O(n3)，用正交化法虽然避免了构造法方程组，但所需的运算量更大些。

Then the matrix Having these solution vectors as its column vectors is called a fundamental matrix for the system in Fundamental Matrix Solution Because the column vector .

则以这些解向量为列的矩阵被称为这个系统的基本矩阵。

The fry of black seabreamand giant sea perch with 4.0cm-8.5cm using the methods of dyeing, i.e., the fish immersed in the water solution containing comestible pigment, immersion in tetracycline, i.e., the fish immersed in the water solution containing tetracycline, and marking by spraying, i.e., the fish sprayed with fluorescent pigment spraying on the skin of fish, and double marking, i.e., the fish sprayed with fluorescent pigment spraying on the skin of fish after feed with tetracycline, and control group. The survival rates, mark retention rates and hydrology data were separately measured every three days for black sea bream and every two days for giant sea perch. The results were as follows.

本研究针对体长4.0cm-8.5cm的黑鲷及金目鲈的鱼苗采用染色法(将鱼只浸泡在含有食用色素的水溶液中)、四环霉素浸泡法(将鱼只浸泡在含有四环霉素的水溶液中)、喷枪法(利用高压喷枪将萤光色素打在鱼的表皮)以及双重标识法（四环霉素投餵法加上喷枪法）与一组空白组进行试验，黑鲷每三天一次、金目鲈每两天一次，调查标识后鱼只的时间别残存率、时间别标识残留率以及水质资料，结果如下。

Beginning with some cases, the article gives basic definitions of inverse problems and ill-posed problems. Then it discusses the Moore-Penrose generalized solution and the Moore-Penrose generalized inverse, and makes a conclusion that linear compact operator equations are ill-posed, that is, the Moore-Penrose generalized solution is unstable.

本文从一些实例出发，介绍了反问题和不适定问题的基本概念，并讨论了方程的Moore-Penrose广义解和Moore-Penrose广义逆，得出了线性紧算子方程的不适定性，即Moore-Penrose广义解的不稳定性的结论。

In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

为了得到线性紧算子方程稳定的近似解，介绍了不适定问题正则化的一般理论，以自伴紧算子的谱分析与紧算子奇异值分解为理论基础，利用奇异系给出了解的表达式，说明了紧算子方程不适定性的根源在于紧算子的奇异值趋于零的性质，由此通过引入正则化滤子函数来减弱或滤掉奇异值趋于零的性质对解的稳定性的影响，构造正则算子，从而提供了建立正则化方法的理论依据。

Combining case history with point reliability solution, applied narrow bound method to calculate general failure probability of composite foundation improved by Dry Jet Mixing, appraised system reliability, precede sensitivity analysis with correlation coefficient of main failure modes in system reliability solution.

3结合工程实例，在点可靠度求解的基础上，运用窄界限范围法求解粉喷桩复合地基系统总失效概率，评价其系统可靠性，并对系统可靠度求解中主要失效模式间的相关系数进行了敏感性分析。

By means of deriving the approximate solution and a process of approaching iteration, we have shown that a general solution exists for a non-Newtonian compressible fluid in 3D bounded domains. The proof is based on an elementary energy method.

文章利用构造近似解和极限的过程证明了三维有界区域中非牛顿可压缩流体广义解的存在性，所用的证明方法为能量方法。

Nonlinear wave system; Exact solution; Approximate solution; Soliton; Riccati equation method; Turing machine; Computable function

非线性波系统；精确解；近似解；孤立波； Riccati方程方法；图灵机；可计算函数

MVFK8vP7Ge+Uu0 Nonlinear wave system; Exact solution; Approximate solution; Soliton; Riccati equation method; Turing machine; Computable function

非线性波系统；精确解；近似解；孤立波； Riccati方程方法；图灵机；可计算函数

Record and compare the spectra concomitantly obtained for the test solution and the Standard solution.

记录并比较伴随地得到的供试溶液和标准溶液的光谱。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。