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N type II collagen-based matrices cell migration is less, but invading cells are directed into a chondrocyte phenotype.

I型胶原为基础的基质材料，细胞的迁移减少，但侵入的细胞定向分化为软骨细胞表型。

A simple entanglement measure for multipartite pure states is formulated based on the von Neumann entropy of a series of reduced density matrices.

本文推广了两态两体纯态系统的纠缠度量方法，即利用约化密度矩阵的von Neu-mann熵来度量纯态纠缠。

Finally, we study the PLDP(n, 2) and strongly nilpotent Jacobian matrices, and we prove that if the nilpotency index of JH for a power-linear map H of degree 2 is less than 4, then JH is strongly nilpotent, and consequently the rows of JH are linearly dependent.

此外，我们特别对线性多项式2次幂映射的相关性问题进行了讨论，为此，对强幂零的Jacobi矩阵进行了研究，刻画了Gorni-Zampieri对的幂零指数之间的关系，并证明了Gorni-Zampieri对保持强幂零性。

In Reference [3], Cao and Tan described the automorphisms of Lie algebra of the strictly upper triangular matrices over R which is a maximal nilpotent subalgebra of the A_n type classical simple Lie algebra.

在参考文献[3]中，曹和谭把由所有严格上三角矩阵所构成的李代数的自同构问题已经完整的解决了，而这样的李代数恰好就是A_n型李代数的一个极大幂零子代数。

Advanced edition additionally supports QR and Singular Value decompositions, Eigenvalue and Eigenvector computation for symmetric and non symmetric matrices.

高级版此外支持的QR和奇异值分解，特征值和特征向量计算对称和非对称矩阵。

Matrices, Vector and Vector Calculus, Newtonian Mechanics-single Particle, Oscillations, Nonlinear Oscillations and Chaos, Gravitation, Some Methods in the Calculus of Variations, Hamilton's Principles Lagrangian and Hamiltonian Dynamics, Central-Force Motion, Dynamics of a System of Particles, Motion in a Noninertia Reference Frame, Dynamics of Rigid Body.

矩阵和向量的计算、单一质点的牛顿力学、线性与非线性的振动运动、重力、微积分上的变分法介绍、哈密顿原理、拉氏及哈氏力学、连心力下的运动、质点系的运动力学、在非惯性坐标中的运动、刚体的运动。

Firstly, we give a necessary and sufficient condition for a nonnegative square matrix to be decomposed into a product of a finite number of irreducible nonnegative matrices in chapter 1. We prove it by using Frobenius normal form in combinational matrix theory and associated directed graph in graph theory. In addition, we can limit the number of factors to three, and construct every factor.

首先，在第一章中，我们给出了一个非负矩阵可以分解成有限多个不可约非负阵的乘积的充要条件，证明过程利用了组合矩阵论中的Frobenius标准型和图论中的伴随有向图，并且将乘积中的因子个数限制到三个，具体地构造出了分解式中的每个不可约非负阵。

In chapter three, in order to distinct N 0?matrices that defined by deferent references, we will use the following notions. A matrix is called N_0~2-matrix if the matrix is nonpositive and its all-principal minors are nonpositive.

不可约矩阵Perron余的Perron向量同原矩阵Perron向量有着继承性，另外非负矩阵的Perron余也可用于Perron根的估计，因此非负矩阵的Perron余的研究有着重要的理论价值。

Under the conditions that the external coupling matricesare n×n irreducible symmetric real matrices with zero row sums and nonpositive off-diagonal elements, asymptotic synchronization occurs if the coupling strength exceedsa critical value.

第三章主要讨论非恒同的单摆振子系统，讨论了外部耦合格式矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非正的矩阵时系统的解的渐近同步性。

Since the size of image covariance matrices is same as that of images and the within-class image covariance matrix is usual nonsingular, thus, the difficulty resulting from high dimensionality and singular case are artfully avoided.

该文提出了一种基于复向量进行特征表不的并行融合新策略，建立了复线性投影分析的理论，给出了复特征空间内进行线性特征抽取方法，事实上，经典的线性投影分析理论与方法只是本文理论与方法的一个特例。

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％。