对角化

The on-line wheel dressing monitoring experiments were made to investigate the bispectrum feature of acoustic emission signals when the diamond sharpness ratio was sharp, middle blunt and blunt, and a diamond blunt feature extraction method based on main diagonal slic...

通过砂轮修整过程在线监测实验，分析了金刚笔在锐利、中等钝化和钝化状态下，修整过程中声发射信号的双谱特征，提出了归一化双谱模对角切片特征提取方法。研究表明，采用基于声发射的双谱分析方法可以有效监测砂轮修整过程中金刚笔的钝化状态。

The characteristic vector of the real symmetric matrix should be found out, which is orthogonalized and normalized to a standard orthogonal base and is used as row vector to construct the transformation matrix P, so the P~(-1)AP can be made into diagonal matrix.

实对称矩阵A经相似变换P-1AP可化为对角矩阵，在x =Py 下，不一定能化A的二次型为标准型；应寻求对称矩阵A的特征向量，将其正交化并单位化作为标准正交基，作为列向量构造变换矩阵P，可使P-1AP=Λ为对角阵，在x =Py 下，要将二次型化为标准型，且二次项系数即为对角阵Λ主对角线上元素。

The proposed method is performed in abc phase-coordination,so it can be applied to transposition or untransposition lines(single-or double-cir cuit lines)and the non-diagonalizable situation of produce matrix ZY .

本文方法在abc相分量上进行计算，所以适用于均匀换位或不换位的单回线、双回线和线路传播常数矩阵ZY不能对角化的情况。

By mean of congruence transformation, when root of a polynomial has zero-root or double-root, a method for diagonalization of some Bezout matrics is given in this paper.

主要通过合同关系，对Bezout矩阵中当多项式存在零根和存在二重根时的对角化问题进行分析，得到一些有意义的结论。

With the help of the time evolution operator, we exactly diagonalized the time-dependent 6 Haniltonian, and get the quasienergies and the eigenvector of the Floquet states, which include three triplets and three singlets.

借助时间演化算子，将6×6含时哈密顿严格对角化，而得到Floquet态的准能量和本征矢量，其中包括三个三重态和三个单重态。

This spin Hamiltonian is reduced to a noninteracting fermionic system by using the Jordan-Wigner transformation, and is then diagonalised exactly. We show how to obtain the ground-state wave functions, the spectra, and the correlation functions.

本文第二章具体介绍了自旋为1/2的横磁场中的一维Ising链，通过Jordan-Wigner 变换将自旋算符变为费米算符，严格对角化其哈密顿量，得出此模型的波函数及能谱，计算出关联函数并得到由Ising 耦合引起的有序态变到无序态的量子相图。

By using the new method, the eigenstate of XXZ Antiferromagnetic model is solved, which is revealed to be 5? coherent state.

接着我们用这种新的理论将ⅩⅩZ反铁磁模型哈密顿量对角化，得出的结论是XXZ反铁磁模型的本征态是su(1，1)群相干态。

In fact, the feature of isotropically metallic property at this filling is discerned from the experiment. Besides, through a simplified model, we prove that there is a discontinuous phase transition from the bubble state to the stripe state when the filling factor increases.

最后，在有平面内磁场的情况下，类比于Laughlin波函数，我们试图构造一种朗道规范下的分数量子霍耳态的变分基态波函数，这一波函数的有效性有待于进一步的精确对角化计算的验证。

We employ the model Hamiltonian and the method of exact diagonalization tostudy the quantum behaviors of four- and five-electron quantum dots in magnetic fieldswith negligible Zeeman effect.

论文采用模型哈密顿量和精确对角化方法研究了无塞曼效应( Lande g因子为0)情况下，包含四个和五个电子的量子点在磁场下的量子行为。

Positive study results show that the estimative error of this approach is smaller than the Cohort approach and Jarrow's approach, especially in the period which macro economic condition changing dramatically.

第三章在Jarrow等(1997)研究的基础上，使用非时齐条件Markov链描述信用评级迁移过程，将信用评级迁移的生成矩阵进行对角化处理，给出信用评级迁移矩阵与生成矩阵的关系；然后，利用Cox风险模型将宏观经济影响因子CFNAI考虑在内，得到信用评级迁移的生成矩阵；继而借助于信用评级迁移矩阵与生成矩阵的关系得到信用评级迁移矩阵；最后使用信用评级迁移矩阵的历史数据对本文估计方法的有效性进行了检验。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。