A new estimator of covariance matrix via partial Iwasawa coordinates

This paper is concerned with the problem of improving the estimator of covariance matrix under Stein’s loss. By the partial Iwasawa coordinates of covariance matrix, the corresponding risk can be split into three parts. One can use the information in the weighted matrix of weighted quadratic loss to improve one part of risk. However, this paper indirectly takes advantage of the information in the sample mean and reuses Iwasawa coordinates to improve the rest of risk. It is worth mentioning that the process above can be repeated. Finally, a Monte Carlo simulation study is carried out to verify the theoretical results.     

Ruin probabilities with pairwise quasi-asymptotically independent and dominatedly-varying tailed claims

This paper considers the nonstandard renewal risk model in which a part of surplus is invested into a Black-Scholes market whose price process is modelled by a geometric Brownian motion, claim sizes form a sequence of not necessarily identically distributed and pairwise quasi-asymptotically independent random variables with dominatedly-varying tails.The authors obtain a weakly asymptotic formula for the finite-time and infinite-time ruin probabilities.In particular,if the claims are identically distributed and consistently-varying tailed,then an asymptotic formula is presented.     

Characterization of microbe cementitious materials

A new generation of cement, microbe cement, has been developed in response to the ever increasing awareness of environmental protection. Microbe cement is a new strengthening material based on microbiologically induced precipitation of calcium carbonate. This paper confirms the feasibility of binding loose sand particles using microbe cement and details the cementation mechanism of microbe cement. We have also prepared microbe cementitious materials (biosandstones). The compressive strength of the bio-sandstone, which depends on the content of calcium carbonate produced by microbially induced precipitation and the bio-mediated calcite crystal size, could be up to 12 MPa at an age of 20 days. By increasing the precipitated calcite content, the compressive strength and microstructure of bio-sandstone could be improved.     

《简爱》的后殖民主义视角再解读

《简爱》给我们展示了一个富有激情、幻想、反抗、坚持不懈精神以及对人间自由幸福的渴望的主人公的美好形象。但是随着后殖民主义理论的发展,作品中的"疯女人"也逐渐受到关注。"疯女人"被设定为一个沉默的主体、丧失话语权的他者,这充分彰显了一种帝国主义有预谋的知识暴力的意识形态。本文在后殖民主义视角下对《简爱》进行重新解读,旨在挖掘隐藏在作品内部的帝国主义话语,进而认识帝国主义意识形态在文学作品中的渗透。     

Initializing K-means Batch Clustering: A Critical Evaluation of Several Techniques

K-means clustering is arguably the most popular technique for partitioning data. Unfortunately, K-means suffers from the well-known problem of locally optimal solutions. Furthermore, the final partition is dependent upon the initial configuration, making the choice of starting partitions all the more important. This paper evaluates 12 procedures proposed in the literature and provides recommendations for best practices.     

Linking innate and adaptive immunity

The evolution of mechanisms to fight pathogens in plants and animals is reflected in the complexity of the components of their so-called immune systems. Higher vertebrates have evolved     

A fast pseudorandom number generator with BLAKE hash function

This paper presents a fast pseudorandom generation algorithm, which is based on the BLAKE hash function and can pass the random test of the NIST (National Institute of Standards and Technology) Statistical Test Suite. Through theoretical analysis and experimental imitation, our new algorithm is proven to be more secure and efficient than G-SHA1. Simultaneously, we introduce and discuss the BLAKE in detail. Its security shows that can be utilized to generate pseudorandom bit sequences, which the experimental results show the BLAKE hash function has excellent pseudorandomness. Therefore, we believe the BLAKE is one of the most potential candidate algorithms of SHA-3 program.     

NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS

In this paper, we investigate the global controllability of a class of n-dimensional affine nonlinear systems with n- 1 controls and constant control matrix. A necessary and sufficient condition for its global controllability has been obtained by using the methods recently developed. Furthermore, we generalize the above result to a class of affine nonlinear systems with a block-triangular-like structure. Finally, we will give three examples to show the applications of our results.     

异自旋中心有机铁磁体分子设计

采用量子化学从头算ＵＨＦ方法对系列异自旋三自由基体系的基态自旋耦合规律进行研究，并对组成不同的异自旋（ｈｉｅｔｅｒｏ ｓｐｉｎ）三自由基进行了系统的比较，为新型有机磁性材料的实验合成提供了理论依据。     

On functional decomposition of multivariate polynomials with differentiation and homogenization

This paper gives a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which were proposed by Ye,Dai,and Lam(1999) and were developed by Faugere,Perret(2006,2008,2009).The authors show that a degree proper functional decomposition for a set of randomly decomposable quartic homogenous polynomials can be computed using the algorithm with high probability.This solves a conjecture proposed by Ye,Dai,and Lam(1999).The authors also propose a conjecture which asserts that the decomposition for a set of polynomials can be computed from that of its homogenization and show that the conjecture is valid with high probability for quartic polynomials.Finally,the authors prove that the right decomposition factors for a set of polynomials can be computed from its right decomposition factor space.