二次利用

This text studies the obstacle problems associated with nonhomogeneous elliptic equation, gives the definition of solutions of second order degenerate nonhomogeneous obstacle problems, and making use of the Poincaré inequality and others,acquire some properties of these solutions and their lead number,filling up the blank of an nonhomogeneous obstacle problem research.

本文研究了非齐次椭圆方程的障碍问题，给出了二阶非齐次障碍问题解的定义，利用Poincar啨不等式，获得非齐次障碍问题的解及其导数的一些性质，填补了对非齐次障碍问题研究的空白。

Exive least-squares solutions, antire?exive least-squares solutions, bisymmetric least-squaressolutions, symmetric and antipersymmetric least-squares solutions, symmetric or-thogonal symmetric least-squares solutions, symmetric orthogonal antisymmetricleast-squares solutions and their optimal approximation to the linear matrix equa-tion AX = B, and solve them successfully. 2. For Problem II, we can convert it to another problem of finding the least-squares solutions with the least norm of a new consistent matrix equation. Onthe base of the solutions of Problem I we can apply the iterative method to get

本文所构造的迭代法的优点在于先利用法方程变换将求矩阵方程的最小二乘解转化为求一个相容矩阵方程的解的问题，再利用迭代法对于任意给定的初始矩阵进行迭代，均可在有限步内迭代出所求问题的一个解；可将问题II转化为求新方程的极小范数解的问题，同样用迭代法求解，从而系统且全面地解决了问题I、II在约束矩阵类如中心对称、中心反对称、自反矩阵、反自反矩阵、双对称、对称次反对称、对称正交对称、对称正交反对称矩阵中的最小二乘解及其最佳逼近问题。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors. Furthermore, we give a normalized B-basis by inserting knots.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth L-M method based on the subdifferential.

将概率最优潮流表述为随机非线性规划问题后，利用非线性互补函数将该问题的KKT条件进行转化，基于转化后的非线性代数方程组，利用一次二阶矩法确定了以待求量的数字特征表示的概率最优潮流模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑L-M方法求解。

The solutions of ProblemⅠ,ⅡandⅢare discussed by using the generalized conjugate gradient method. When the equation is consistent, the solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found; When the equation is inconsistent, the least-squares solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are also found successfully. The generalized conjugate gradient method has the following traits:(1) It can judge automatically the information of solutions.

利用广义共轭梯度法，讨论了问题Ⅰ、Ⅱ和Ⅲ解的情况：当方程相容时，研究了方程的一般解、对称解、中心对称解、自反矩阵解、双对称解、对称次反对称解及其最佳逼近等问题；当方程不相容时，研究了方程的最小二乘一般解、最小二乘对称解、最小二乘中心对称解、最小二乘自反矩阵解、最小二乘双对称解、最小二乘对称次反对称解及其最佳逼近等问题。

The article uses multiple regression statistics to analyze the past settlement academic achievement, proposes a calculation method that prorates the high school entrance examination results and the results of class sorting examination organized by the school so as to provide the basis for future calculation of the settlement academic achievement, bring it closer to the real student academic level; makes full use of the historical result data of the tests that students participated, traces and analyzes the experience of our students' growth, gives full play to the advantage of small class management mode in the large classes of our school, guides students to actively summarize their own academic achievement so as to search appropriate learning methods suitable for themselves and help them develop good learning psychology quality; In addition this article uses RANK function to analyze the balance of students' terminative academic achievement, uses Radar Chart, combined with the graphic illustration of the median and hundreds' digit to analyze students' terminative academic achievement, on the one hand to guide students to focus on their overall academic development, on the other hand, to provide students with the basis for choosing arts or science subjects during entering senior two of the high school from senior one; the article provides an easy-to-operate EXCEL template to facilitate teachers to gather the information about the diagnostic academic achievement in usual schoolwork and unit tests, so that forms a timely and precise feedback link, thereby facilitating teachers to master timely the learning conditions of the students, and adjust teaching objectives and teaching strategies based on the practical situation of the students, so as to better complete the teaching tasks.

利用多元回归统计分析以往的安置性学业成绩，提出以中考成绩与学校组织分班考试按比例折算的计算方法，为今后的安置性学业成绩计算提供依据，使其更接近学生真实的学业水平；充分利用学生在校参加各次测试的历史成绩数据，跟踪分析学生的学业成长历程，充分发挥我校大班小班化管理模式优势，指导学生对自我学业成就进行积极归因，寻找适合自己的学习方法，从而帮助学生形成良好的学习心理品质；利用RANK函数分析学生终结性学业成绩的均衡性，利用雷达图，结合中位数和百位数图示化分析学生终结性学业成绩，一方面引导学生关注自身全面的学业发展，另一方面，为学生在高一升高二文理分科时提供选择依据；提供操作简单的EXCEL模板，方便教师收集平时作业或单元测验中的诊断性学业成绩信息，使教学反馈环节及时精细，有利于任课教师及时了解学生的学习状况，根据学生实际情况调整教学目标和教学策略，从而更好地完成教学任务。

The use of multiple regression statistical analysis of past resettlement of academic achievement, proposed to the examination results and school organizational placement tests prorating method of calculation for the future provide the basis for placement of academic computing, bring it closer to the real student academic level; make full use of students in school to participate in the history of the various test results data, follow-up analysis of our students grew up, give full play to our school-based management advantages of large classes in small classes, guiding students in active academic achievement of self-attribution, searching for their own learning methods to help students develop good study of psychological quality; use RANK function analysis of the end of the academic results of students balanced, using radar chart, combined with the median shows the median and the Analysis of 100 students in the end of academic performance, on the one hand to guide students to focus on their overall academic development, and on the other hand, for students in high-rise 2 1 Division of Arts and to provide selected on the basis; to provide easy-to-EXCEL template to enable teachers to gather in peacetime operations or unit tests in the diagnosis of academic information, so that the teaching timely and detailed feedback loops are conducive to Teacher students to keep abreast of the situation, according to the actual situation of students to adjust teaching objectives and teaching strategies in order to better complete the teaching tasks.

利用多元回归统计分析以往的安置性学业成绩，提出以中考成绩与学校组织分班考试按比例折算的计算方法，为今后的安置性学业成绩计算提供依据，使其更接近学生真实的学业水平；充分利用学生在校参加各次测试的历史成绩数据，跟踪分析学生的学业成长历程，充分发挥我校大班小班化管理模式优势，指导学生对自我学业成就进行积极归因，寻找适合自己的学习方法，从而帮助学生形成良好的学习心理品质；利用RANK函数分析学生终结性学业成绩的均衡性，利用雷达图，结合中位数和百位数图示化分析学生终结性学业成绩，一方面引导学生关注自身全面的学业发展，另一方面，为学生在高一升高二文理分科时提供选择依据；提供操作简单的EXCEL模板，方便教师收集平时作业或单元测验中的诊断性学业成绩信息，使教学反馈环节及时精细，有利于任课教师及时了解学生的学习状况，根据学生实际情况调整教学目标和教学策略，从而更好地完成教学任务。

The fusion DNA fragments of ag85b-mpb64 and ag85b-mpb64-esat-6 were obtained by PCR andSOE technique. Various DNA vaccines were constructed with the pcDNA3.1: fusion of two genes, and of three genes, bivalent combinations and trivalent combinations(pCA+pCM+pCE6). BALB/c mice were vaccinated with this DNA vaccines.The mice injected withBCG were positive control and the mice injected with pCDNA3.1 and PBS were negative control.The mice were immunized 3 times with 2-wk intervals. The animals in group BCG were only inoculatedsubcutaneously with 1×10~6 CFU BCG at initial vaccination. The serum IgG titers and IgG isotype weredetermined using iELISA coated with M. bovis PPD and rMAE protein expressed and depurated inprokaryotic expression system every week.

同样，利用PCR和SOE技术，获得牛分枝杆菌mpb64-ag85b和mpb64-ag85b-esat-6融合基因，以pCDNA3.1为载体构建了牛分枝杆菌多价组合和多基因融合DNA疫苗：二基因融合(pCDNA3.1-MPB64-Ag85B，简称pCMA)和三基因融合(pCDNA3.1-MPB64-Ag85B-ESAT-6，简称pCMAE)DNA疫苗；二价组合和三价组合(pCA+pCM+pCE6)DNA疫苗，免疫BALB／c小鼠，以牛分枝杆菌BCG免疫组为阳性对照，以pCDNA3.1及PBS免疫组为阴性对照，共免疫3次，每次间隔2周，BCG组仅初免时皮下免疫1次。1免后每周，以原核表达纯化的重组MPB64-Ag85B-ESAT-6蛋白和牛分枝杆菌PPD为包被抗原，以间接ELISA方法检测血清IgG水平及lgG亚类。

Combined with the adaptive modulation and coding technology, this algorithm reallocates the residual power by effectively utilizing the discrete modulation orders according to the different prioriti es of sub-channels under the limitation of quality of service over the block fading channel.

在满足服务质量要求的前提下充分利用星座图尺寸的离散性，将残余功率按照各子信道的不同优先级进行二次分配，并结合自适应调制编码技术改善低信噪比时的系统吞吐量。

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。