检索结果-内蒙古大学图书馆

Multiplication algorithm Based on Collatz Function

THEORY OF COMPUTING SYSTEMS 2020年第8期64卷 1331-1337页

作者： Barina, David Brno Univ Technol Fac Informat Technol Ctr Excellence IT4Innovat Brno Czech Republic

This article presents a new multiplication algorithm based on the Collatz function. Assuming the validity of the Collatz conjecture, the time complexity of multiplying two n-digit numbers is O(kn), where the k is the number of odd steps in the Collatz trajectory of the first multiplicand. Most likely, the algorithm is only of theoretical interest.

关键词： Multiplication algorithm division algorithm Computer arithmetic Collatz conjecture

来源：评论

学校读者我要写书评

暂无评论

The Extended Matrix-Variate Beta Probability Distribution on Symmetric Matrices

引用

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY 2020年第2期22卷 647-676页

作者： Tounsi, Mariem Sfax Univ Lab Probabil & Stat Sfax 3038 Tunisia

The notion of generalized power function in the space of real symmetric matrices is used to introduce a kind of extended matrix-variate beta function. With the aid of this, we define a different versions of extended matrix-variate beta distributions. Some fundamental properties of these distributions are established. We show that using a linear transformation on the extended matrix-variate beta distributions of the first and second kind, we can generalize these distributions. We also show that the distribution of the sum of two independent inverse Riesz matrices introduced by Tounsi and Zine (J Multivar Anal 111:174-182, 2012) can be written in terms of the generalized extended matrix-variate beta function. Finally, using Fixed point iterative method, we provide a calculable maximum a posteriori (MAP) estimator for the unknown covariance matrix of a multivariate normal distribution based on the class of the extended matrix-variate beta prior distribution. Additionally, we evaluated the Gaussian finite sample performance by calculating such evaluation criteria as Mean Square Error (MSE) and Hilbert-Schmidt distance (DHS). The obtained results confirm the performance of the proposed prior.

关键词： Random matrices Extended beta function division algorithm Inverse Riesz distribution Beta-Riesz distribution Covariance estimation MAP estimator Fixed point algorithm

来源：评论

学校读者我要写书评

暂无评论

Research on Euclidean algorithm and Reection on Its Teaching

引用

应用数学 2025年第1期38卷 308-310页

作者： ZHANG Shaohua School of Mathematics and Statistics Yangtze Normal UniversityChongqing 408102China

In this paper,we prove that Euclid's algorithm,Bezout's equation and Divi-sion algorithm are equivalent to each *** result shows that Euclid has preliminarily established the theory of divisibility and the gre... 详细信息

关键词： Euclid's algorithm division algorithm Bezout's equation

来源：评论

学校读者我要写书评

暂无评论

John Reynolds of the Mint: A mathematician in the service of king and commonwealth

引用

HISTORIA MATHEMATICA 2019年 48卷 1-28页

作者： Biggs, Norman London Sch Econ Dept Math Houghton St London WC2A 2AE England

In his youth, John Reynolds showed a talent for arithmetic and was destined for a career as a mathematician at the Tower Mint in London. He became skilled in the algorithms needed to determine the correct relationship between the weight and purity of coins and their values. This was a matter of national importance, and his work came to the attention of King James I, who reigned from 1603 to 1625, and his chief ministers, including Robert Cecil and Francis Bacon. It seemed that John might attain high office himself, but the murky administration of the early Stuart period cast its shadow over his career. Nevertheless, for the next forty years he continued to play a major part in the nation's affairs. He produced books of tables for the valuation of coins in the commercial world, and for the highly technical work of the assayers. Also, he was actively involved in the production of standard measures and instruments used by the excise officers. His life and works illustrate how mathematical ideas were employed by the English government in the period of the early Stuart kings and the Commonwealth. (C) 2018 Elsevier Inc. All rights reserved.

关键词： Arithmetic division algorithm Money Weight

来源：评论

学校读者我要写书评

暂无评论

Improved Visual Secret Sharing Scheme for QR Code Applications

引用

IEEE TRANSACTIONS ON INFORMATION FORENSICS AND SECURITY 2018年第9期13卷 2393-2403页

作者： Cheng, Yuqiao Fu, Zhengxin Yu, Bin Zhengzhou Informat Sci & Technol Inst Zhengzhou 450000 Henan Peoples R China

Quick response (QR) codes have been widely used in applications, such as data storage and high-speed machine reading. Anyone can gain access to the information stored in QR codes;therefore, they are unsuitable for encoding secret information without the addition of cryptography or other protection. In this paper, we propose a visual secret sharing scheme to encode a secret QR code into several shares. In contrast with other techniques, the shares in our scheme are valid QR codes that can be decoded with some specific meaning by a standard QR code reader, thereby avoiding raising suspicion in potential attackers. Moreover, the secret message is recovered by XOR-ing the qualified shares, an operation that can easily be performed using smartphones or other QR scanning devices. Experimental results show that the proposed scheme is both feasible and reasonably secure. Our scheme's high sharing efficiency is also highlighted in this paper.

关键词： division algorithm error correction capacity high security (k, n) access structure quick response code visual secret sharing scheme

来源：评论

学校读者我要写书评

暂无评论

Efficient division in Carry Value Transformation (CVT) and Exclusive OR (XOR) Paradigm 7

Efficient Division in Carry Value Transformation (CVT) and E...

引用

7th IEEE International Advance Computing Conference (IACC)

作者： Das, Jayanta Kumar Choudhury, Pabitra Pal Indian Stat Inst Appl Stat Unit Kolkata 700108 India

ISBN: (纸本)9781509015603

Previously many works regarding addition and subtraction of two integers are done in CVT-XOR paradigm. It has been also seen that performance using Cellular automata machine (CAM) for addition and subtraction in CVT and XOR paradigm is much faster. In this current study, we mainly focus to handle the division algorithm and associated complexity in this paradigm. We also proposed a block diagram model of division algorithm which could be very much helpful for VLSI implementation on using recursive CAM.

关键词： CVT-XOR Operations division algorithm Complexity

来源：评论

学校读者我要写书评

暂无评论

PV_LOO-Based Training Set Selection Improves the External Predictability of QSAR/QSPR Models

引用

JOURNAL OF CHEMICAL INFORMATION AND MODELING 2017年第5期57卷 1055-1067页

作者： Dong, Ying Xiang, Bingren Du, Ding China Pharmaceut Univ Dept Organ Chem Coll Sci 639 Longmian Ave Nanjing 211198 Jiangsu Peoples R China China Pharmaceut Univ Inst Pharmaceut Sci 24 Tongjiaxiang Nanjing 210009 Jiangsu Peoples R China

In QSAR/QSPR modeling, the indispensable way to validate the predictability of a model is to perform its statistical external validation. It is common that a division algorithm should be used to select training sets from chemical compound libraries or collections prior to external validations. In this study, a division method based on the posterior variante of leave-one-out cross-validation (PVLOO) of the Gaussian process (GP) has been developed with the goal of producing more predictive models. Four structurally diverse data sets of good quality are collected from the literature and then redeveloped and validated on the basis of training set selection methods, namely, four kinds of PVLOO-based training set selection methods with three types of covariance functions (squared exponential, rational quadratic, and neural network covariance functions), the Kennard Stone algorithm, and random division. The root mean squared error (RMSE) of external validation reported for each model serves as a basis for the final comparison. The results of this study indicate that the training sets with higher values of PVLOO have statistically better external predictability than the training sets generated from other division methods discussed here. These findings could be explained by proposing that the PVLOO value of GP could indicate the mechanism diversity of a specific compound in QSAR/QSPR data sets.

关键词： division algorithm Basis Set (Psychology) ROOT-MEAN-SQUARE ERRORS GRAPHIC PANEL Geometric progression division method Training selection methods Functional training SETTING Set

来源：评论

学校读者我要写书评

暂无评论

Wilks' factorization of the matrix-variate Dirichlet-Riesz distributions

引用

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 2017年第9期46卷 4494-4509页

作者： Tounsi, Mariem Zine, Raoudha Sfax Univ Lab Probabil & Stat Sfax 3054 Tunisia

The Riesz distributions on positive definite symmetric matrices are used to introduce a class of Dirichlet-Riesz distributions. In addition, several distributional properties are stated. Essentially, we show the relationship between the Dirichlet-Riesz distributions of the first kind and the second kind, respectively. We derive Wilks' factorization of the matrix-variate Dirichlet-Riesz. Further, several results on the product of Riesz and beta-Riesz matrices with a set of Dirichlet-Riesz matrices of the first kind have been derived.

关键词： Beta-Riesz distribution Dirichlet-Riesz distribution division algorithm Random matrices Riesz distribution Wilks' factorization Wishart distribution

来源：评论

学校读者我要写书评

暂无评论

Some new properties of the Riesz probability distribution

引用

MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2017年第16期40卷 5946-5958页

作者： Hassairi, A. Lajmi, S. Zine, R. Sfax Univ Lab Probabil & Stat Sfax Tunisia

The Riesz probability distribution on any symmetric cone and, in particular, on the cone of positive definite symmetric matrices represents an important generalization of the Wishart and of the matrix gamma distributions containing them as particular examples. The present paper is a continuation of the investigation of the properties of this probability distribution. We first establish a property of invariance of this probability distributions by a subgroup of the orthogonal group. We then show that the Pierce components of a Riesz random variable are independent, and we determine their probability distributions. Some moments and some useful expectations related to the Riesz probability distribution are also calculated. Copyright (C) 2017 John Wiley & Sons, Ltd.

关键词： symmetric cone division algorithm Wishart probability distribution Riesz probability distribution beta-Riesz probability distribution

来源：评论

学校读者我要写书评

暂无评论

division algorithm and interconnection strategy of restoration subsystems based on complex network theory

引用

IET GENERATION TRANSMISSION & DISTRIBUTION 2011年第6期5卷 674-683页

作者： Lin, Z. Z. Wen, F. S. Chung, C. Y. Wong, K. P. Zhou, H. Zhejiang Univ Sch Elect Engn Hangzhou 310027 Peoples R China Hong Kong Polytech Univ Dept Elect Engn Kowloon Hong Kong Peoples R China Univ Western Australia Dept Elect Elect & Comp Engn Nedlands WA 6009 Australia

Reasonably dividing restoration subsystems is an essential step for speeding up the restoration procedure with the widely employed bottom-up restoration strategy. A new method based on the community structure of the complex network theory is presented for dividing restoration subsystems in this work. The locations of black-start units and the characteristics of power systems are taken into account in the developed method. The restoration subsystems are determined by removing the lines with the maximal 'betweenness' repeatedly, and the rationality of the division results is evaluated by using a modularity index. An interconnection strategy for the restoration subsystems thus obtained is proposed by following the sequence that each restoration subsystem is separated from the power network concerned in the divisive process. The essential features of the proposed method are illustrated by case studies of the well-known New England test system and the Guangzhou actual power system in China.

关键词： restoration procedure restoration subsystem complex networks complex network theory interconnection strategy Guangzhou actual power system community structure power system characteristics power system restoration power system interconnection power network Power system management, operation and economics bottom-up restoration strategy black-start unit modularity index New England test system division algorithm

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：