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Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源：3282AB83C论文网www.abclunwen.com)，建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理，并在拓扑向量空间中定义了C_x-拟单调算子，引入了闭凸集K的inner点，给出了inner点与相对代数内点的关系，利用innK_c代替K的拓扑内部，建立了新的拟单调向量变分不等式。

An algorithm has the Q-property if it will find the minimizer of a convex quadratic in a finite number of iterations.

如果一个算法能在有限步叠代内找到凸二次函数的最小值就称其具有Q-属性。

This invention relates to MIMO test method in a multi-user MIMO radio communication system including: estimating the channel matrixes of all users at the base station, computing an orthogonal projecting matrix M of the interference matrix of each user and transmitting M to each user periodically, receiving data sent by the base station at the user end and getting the orthogonal projecting matrix M from the received data, transforming the MIMO test of a desired user to the minimum value of a K-element secondary convex function, in which, K expresses the number of sending antennas and getting estimation of the test data by a ball test method.

一种多用户多输入多输出无线通信系统中的MIMO检测方法，包括步骤：在基站估计所有用户的信道矩阵；计算每个用户的干扰用户矩阵的正交投影矩阵M，并将每个用户的正交投影矩阵M定期发送给每个用户；在用户端接收基站发送的数据，并从接收的数据中得到正交投影矩阵M；利用正交投影矩阵M将期望用户的MIMO检测转化为K元二次凸函数的极小值，其中K表示对期望用户而言，发送天线的个数；利用球检测的方法，得到检测数据的估计。

In 2000,Zhou Wenshu gained the existence and uniqueness of the strict convex classical solutions of the third initial-boundary value problems of the Monge - Ampere.

2000年，周文书[10]得到了如下形式的抛物型Monge-Ampère方程的第三初边值问题严格凸古典解的存在唯一性本文的目的是把[10]的结果进行一般性的推广，考虑下列非线性抛物型Hessian方程的第三初边值问题抛物型H。

The existence of multiple periodic solutions of the equations is gotten by using convex Hamiltonian theory and Morse index theory.

讨论了一类扰动时滞微分方程的多重周期解的存在性问题，运用凸Hamilton系统理论和Morse指标理论得到了这类方程多重周期解的存在性。

Based on the article [1], we discuss and prove two sufficient and necessary conditions of multiplicative convex functions.

摘要在文献[1]的基础上，讨论并证明了积性凸函数的两个充分必要条件，同时证明了积性凸函数的另外两个定理。

Seeds navicular, convex on 1 side, with a deep groove on other; pedicel as long as or longer than bract, rarely slightly shorter.

种子舟形，凸的在一边上，具一个深的槽沟在另1面；花梗等长或长于苞，很少稍微有点短。

Ovary with longitudinally convex nectaries along septa; nectary pit at ovary base open

沿着隔膜的纵向的子房具突起的蜜腺；在卵巢基础的蜜槽张开 90 ALLIUM subtilissimum 蜜囊韭

Normal cone ; Mixed monotone operator ; a-concave operator ;-a-convex operator ; Fixed point

正规锥；混合单调算子；α-凹算子；-α-凸算子；不动点

The Legendre transformation generated by uis 〓where uis a convex-monotone function,〓 is the normal mapping of u.

引进函数u的Legendre变换〓（3）这里u为凸单调函数，〓为u确定的法映射。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。