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返回一个小于所指定最大值的非负随机数。Returns a nonnegative random number less than the specified maximum.

本文探讨非负张量特征值的若干问题。In this thesis, we discuss some eigenvalue problems of nonnegative tensors.

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另外，我们还给出了非负矩阵分离度的上界估计。In the addition, we give an upper bound for the spread of a nonnegative matrix.

其最优解是通过求一个相容方程组的非负解而得到。Its optimal solution is obtained by finding a nonnegative solution of compatible equations.

本文给出了非负约束问题的另一个简便算法。Another simple algorithm of problems with nonnegative constraints is presented in this paper.

本文研究了非负不可约模式的基与最小秩的关系。We study the relations between the base and the minimum rank of nonnegative irreducible pattern A.

本文为非负方阵不可约性和非周期性的判定给出了实现算法。This paper gives an effective algorithm for deciding of irreducibility and aperiodicity of nonnegative matrices.

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本文给出了非负权图的最大二等分问题的一种近似算法，并从理论上证明了这种算法是0.488近似算法。A 0.488 approximate algorithm is presented in this paper for the max-bisection problem with nonnegative edge weights.

利用非负矩阵理论提出了一个多源竞争共享带宽的网络模型。We present a simple model of a network of sources competing for a shared bandwidth based on nonnegative matrices theory.

目的研究一类耦合型反应扩散系统非负平衡解的存在性。Aim The existence of nonnegative steady-state solutions was investigated for a class of coupled reaction-diffusion systems.

本文给出了一个计算本质非负三角阵的指数函数的高精度算法。In this paper, we present an algorithm to accurately compute the exponential of a triangular essentially nonnegative matrix.

讨论了一类带局部化非线性反应项的扩散方程组的爆破估计问题。This paper deals with blow-up estimates of the nonnegative solutions to a parabolic system with localized nonlinear reactions.

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讨论了紧致非单连通的具非负曲率的流形的一些几何性质，并应用它们证明了具非负曲率的紧致非单连通曲面必为平坦的。With the help of them, it can be proved that the non-simply connected compact surface with nonnegative curvature must be flat.

其中重要的有特殊矩阵Z-矩阵、逆M-矩阵、三对角矩阵、非负不可约矩阵等。The special matrices included inverse M-matrices, inverse Z-matrices, tridiagonal matrices and nonnegative irreducible matrices.

一个著名的结果是一个非负矩阵的最大特征值在它的最小行和与最大行和之间。One of well-known results is that the greatest eigenvalue of a nonnegative matrix lies between the smallest and the largest row sum.

对一类带有非负边界约束的线性不等式约束优化问题进行了研究，提出了一种新的信赖域算法。We propose a new trust region algorithm for special linear inequality constrained optimization problems with nonnegative bound constraints.

其次，在第二章中，我们讨论了将一个非负矩阵分解成有限多个完全不可分非负阵的乘积的问题。Secondly, we discuss the problem of decomposing a nonnegative matrix into a product of fully indecomposable nonnegative matrices in chapter 2.

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本文借助于非负矩阵分解算法，提出了一种基于非负因子分析的模糊文本聚类方法。Inspired by the nonnegative matrix factorization algorithm, we put forward an fuzzy text clustering method based on nonnegative factor analysis.

独立非负随机变量和的逆矩的讨论是很有意义的一个课题，在一定的条什下义献中讨论了独立和的逆矩能否用矩的逆来近似的问题。It is an interested problem when the inverse moments of nonnegative independent summation can be approximated by the inverse of moments of them.

在本文中，我们主要研究具有非负曲率完备非紧流形的体积增长与闭测地线及距离函数临界点一些关系。The paper gives a simple version and progress of the open Riemannian manifolds with nonnegative Ricci curvature and large volume growth from 1990.