查询词典 Hermitian conjugate

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Taking range as the performance function, considering end velocity, height and trajectory slope angle constraints, the optimal glide trajectory was solved by maximum principle of Pontryagin and conjugate-gradient method.

建立了滑翔弹道模型，以射程为指标函数，考虑终端速度、高度和弹道倾角约束，采用庞特里亚金极大值原理和共轭梯度法求出控制变量有约束的最优滑翔弹道，简要分析了滑翔增程机理。

Design of eccentric rotating conjugate cams paper-transferring mechanism ;2. On the basis of the principle of TYM 750 Die Cutting and Foilstamping Press,the mathematical model for the paper-transferring mechanism was constructed.

根据TYM 750烫印模切机递纸机构的工作原理，构建递纸机构的数学分析模型，按照递纸吸嘴的运动轨迹，求出递纸机构中凸轮从动杆的运动规律，利用反转法得到凸轮的廓线。

Results Under the condition of the conjugate prior distribution, the prior parameters computed by three methods were similar.

结果在共轭先验分布的条件下，先验矩、分位数、众数与分位数三种方法确定的先验分布参数结果一致。

Second, we obtain the bayes estimators of the loss function and risk function based on the conjugate prior distribution for ...

其次在共轭先验分布下给出了Weibull分布参数估计的损失函数和风险函数的贝叶斯估计，并讨论了它们的保守性和合理性。

Until recently, the convergence of the Rosen"s arithmetic has been proved. The projection gradient method is the generalization of Steepest decent method to constraint problem. So it does have a faster convergence speed that the fastest decent method . To solve the problem, many researchers have generalizat the well-developed optimization with unconstraint to the Rosen"s gradient method. The conjugate gradient method is one of success to solve the problem.

投影梯度法是最速下降法对约束问题的推广，因此没有较快的收敛速度，为了解决这个问题很多中外学者把发展得比较成熟的无约束最优化算法作类似的推广，其中共轭梯度方法是近年发展的很成熟的方法，它具有计算简单，算法结构好，计算量少，具有良好的收敛性等优点，而Rosen投影梯度法的提出使寻找下降方向变得简单。

Based on it, a new efficient implementation of preconditioned conjugate gradient is put forward to solve the Gauss-Newton equation and save the cost on computation with the same exactly quadratic convergence to the traditional choleski factorization.

新算法与传统的使用Choleski技术的Gauss-Newton法具有相同的收敛速率，但在求解 Gauss-Newton方程组时减少了代数运算的计算量。

ACIP has previously recommended quadrivalent meningococcal conjugate vaccine (MCV4; Menactra , Sanofi Pasteur) for all persons aged 11 to 18 years, as well as for persons aged 2 to 55 years who are at increased risk for meningococcal disease.

ACIP过去建议所有11至18岁的青少年、以及2至55岁且处於脑膜炎疾病风险的人们都应该接种四价脑膜炎球菌接合疫苗（MCV4；Menactra；赛诺菲巴斯德公司）。

It is studied factorizing a matrix over quaternion field to the product of two self-conjugate matrices. And some useful results are obtained.

摘要研究了四元数矩阵分解为两个自共轭矩阵乘积，其中有一个是非奇异阵的条件，得到了一些有用的结果。

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。