正定的

An advantage of this method is that it can be applied when the covariance matrix of the invested projects is positive semi-definite.

该方法的优点在于能够处理各投资项目之间的协方差矩阵为半正定的情形。

But having abandoned conceit, well-centered within, with right awareness everywhere fully released, alone in the wilderness, heedfully living, one will cross over, beyond Mara's sway.

但是一个心中没有憍慢、心得正定的人，以坚定的正念温顺慈善和智慧地生活，因此他随时随地都能完全的解脱自在。

The acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regards to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results.

先将结构的声辐射功率表示为一个正定的厄米特二次型，运用广义特徵值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度祸合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

According to the studied results at present, the studied objects are mainly thin plate and beam about sound radiation mode, a method computed sound radiation mode of complex structure is presented in this dissertation, according to the results of the previous two chapter, a theoretical method to solve acoustical radiation mode and acoustical radiation efficiency of complex structure by boundary element method and acoustical radiation theory is posed, the acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regard to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results. According to results of the form three chapter, the structure sound radiation sensitivity is studied in detail, the sound radiation power of structure can be expressed as positive Hermitian quadratic form, the sound radiation sensitivity can be expressed as two parts by partial differential with respect to design variable, which are sensitivity of boundary velocity and impedance matrix, combined with the theory of FEM and BEM, the structure sound radiation can be translated to the analysis of structure dynamic sensitivity and impedance matrix sensitivity. The theory posted in this dissertation is tested by the FEM software ANSYS and the software AAS programmed by author.

在前几章的基础上，通过结构声辐射的模态理论对结构的声辐射的机理进行了深入地探讨，针对目前声辐射模态的研究对象主要是简单的板和梁类结构，提出了一种计算复杂结构声辐射模态的方法，利用前两章研究所得的结论，将边界元方法与广义特征值的理论结合起来研究了复杂结构的声辐射模态与声辐射效率，先将结构的声辐射功率表示为一个正定的厄米特二(来源：ABb7C论文0909网www.abclunwen.com)次型，运用广义特征值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度耦合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

The PSD-PCG algorithm is effective to sovle ill-conditioned linear system of equations whose coefficient matrix is symmetric and positive definite and sparse.

本章提出的PSD—PCG法是解对称正定的稀疏病态线性方程组的有效算法。

From the matrix theory and the general principle of the iterative convergence of the linear coupled equations, this dissertation firstly proved the sufficient necessary convergent conditions for CMAC batch learning as well as the necessary convergent conditions for CMAC incremental learning, in which no additive conditions were needed. The past researchers'conclusions under the special condition of the positive articulation matrix are generalized and improved.

从矩阵理论和线性方程组迭代收敛的一般性原理出发，首次在不附加特殊条件的情况下，证明了CMAC学习算法在批量和增量两种学习方式下收敛的一般性定理，给出CMAC算法在批量学习方式下收敛的充要条件，以及在增量学习方式下收敛的必要条件，对前人在关联矩阵正定的特殊条件下得出的结论进行了推广和改进。

We calculate the energy-momentum pseudo-tensor of relic gravitational wave of both the polarized states by Riazuelo-Uzan expression of the energy-momentum pseudo tensor in the Cartesian coordinates, we can see that energy density and momentum densities of relic GWs are dependent on cosmic scale factor and square of the amplitudes,. At the same time, the energy density of relic GWs is positive definite, the momentum densities components have reasonable physical behavior,and their values are independent on the directions.

我们还用Riazuelo-Uzan表述在直角坐标系下对双极化态的遗迹引力波的能量动量赝张量进行计算，发现双极化态的遗迹引力波的能量张量密度与他们的振幅的平方和宇宙学尺度因子有关，他们的能量密度是正定的，大小跟传播方向无关，即遗迹引力波在宇宙学尺度上是各项均匀同性的。

Not every partial positive definite Toeplitz matrix has Toeplitz positive definite completion and not every par2 tial positive definite matrix which has positive definite completion has Toeplitz positive definite completion.

并不是所有的部分正定Toeplitz 矩阵都有Toeplitz 正定完成，也并不是每个有正定完成的部分正定矩阵都有 Toeplitz 正定完成。

Another way infixing R2 into the M-V model results in violating the restriction of the M-V models, which the covariance matrix must be positive definite matrix, and then leads the performance of the portfolio to be worse eventually.

而另一种方式权重配置方式，将R2嵌入M-V模型方式所得出的结果，则违反了M-V模型的限制条件之一，即所变化后的共变异矩阵违反了正定的限制，最后使得投组的绩效变差。

With this method, the nextto-leading order Debye screening mass was evaluated within real time hot QCD. Since the gluon damping rate was included self-consistently on the internal line of the self-energy, the infrared divergences were removed without putting by hand in a nonperturbative magnetic mass as a cutoff, and the results are positive and gauge-independent. In addition, the selfconsistent calculation method of the damping rates of the fast moving particles in a QGP was suggested, the self-consitent equations were derived at finite tempeature without infrared divergences, and the approximation solutions were shown. Meanwhile the relaxation times of the gluons and quarks were estimated as τ〓～0.7fm/c and τ〓～1.5fm/c at energy scales of RHIC and LHC.

用这种自洽方法从实时热QCD出发用计算了QGP中次带头阶Debye屏蔽质量，由于自洽包含了胶子自能内线中横胶子的衰减率，克服了红外发散的困难，不必用手加的非微扰磁质量作截断，证明了得到的结果是正定的且规范无关，同时本文给出了QGP中快速粒子衰减率的自洽计算方法，推出了有限温度下快速粒子衰减率的自治方程且红外发散不出现，给出了方程的近似解，并估计了RHIC和LHC能标下胶子和夸克的弛豫时间分别为τ〓～0.7fm/c，τ〓～1.5fm/c。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。