Modular Data: The Algebraic Combinatorics of Conformal Field Theory

This paper is primarily intended as an introduction for mathematicians to some of the rich algebraic combinatorics arising in for instance conformal field theory (CFT). It tries to refine, modernise, and bridge the gap between papers [6] and [55]. Our paper is essentially self-contained, apart from some of the background motivation (Section 1) and examples (Section 3) which are included to give the reader a sense of the context. Detailed proofs will appear elsewhere. The theory is still a work-in-progress, and emphasis is given here to several open questions and problems.     

数据预处理对替代数据检验方法的影响

替代数据检验法是检验时间序列中是否存在确定性非线性成分的重要统计方法.通过研究差分和数据平滑运算对替代数据检验方法的影响,指出常用的线性滤波等数据预处理步骤破坏了序列的静态性质,从而会导致对零假设的错误拒绝.因此,建议应该直接利用原始时间序列而非应用了差分等非静态滤波运算后的时间序列生成替代数据,再进行假设检验,以免造成对零假设的错误拒绝.     

The need for education and research in administrative data processing

This paper contains some points of view concerning the need felt by many computer-people for more intensive education and research activities in administrative data processing. After a short out-line of the main problems in administrative data processing we will try to indicate some topics where research is most needed. Then follows a survey of the need of knowledge specified for different categories of persons working in this field. Finally, we will draw some conclusions regarding the responsibility of different institutions to certify these needs.     

The Osofsky-Smith Theorem for Modular Lattices,and Applications (II)

This is the second part of the paper with the same title published in Communications in Algebra in 2011. It contains applications of the Latticial Osofsky–Smith Theorem to Grothendieck categories and module categories equipped with a torsion theory. Various many different meanings spread in the literature of the relative concepts with respect to a hereditary torsion theory τ on Mod-R like τ-essential submodule, τ-complement submodule, τ-CS module, etc. are also discussed.     

Bayes判别分析在医疗数据处理中的应用

本文利用判别分析的基本原理和方法,针对肝硬化医疗数据建立数学模型,然后利用SPSS16.0作为工具求解模型,得到了三个有意义的能判别归类的函数判别式。     

The graphical data representation subsystem of theSelena teaching/research system for automated design of remote data processing networks

Translated fromIssledovaniya po Prikladnoi Matematike, No. 19, 1992, pp. 9–14.     

Ekman layers of rotating fluids: The case of general initial data

In this paper we describe the weak solutions of the Navier‐Stokes equations with a large Coriolis term as the Rossby and the Ekman numbers go to zero in a special domain with various boundary conditions. This work extends the results (in the case of well‐prepared initial data) in [19, 30]. © 2000 John Wiley & Sons, Inc.     

On optimal operating conditions for a data processing system: A stochastic approach

In this paper, we consider the problem of determining optimal operating conditions for a data processing system. The system is burned‐in for a fixed burn‐in time before it is put into field operation and, in field operation, it has a work size and follows an age‐replacement policy. Assuming that the underlying lifetime distribution of the system has a bathtub‐shaped failure rate function, the properties of optimal burn‐in time, optimal work size and optimal age‐replacement policy will be derived. It can be seen that this model is a generalization of those considered in the previous works, and it yields a better optimal operating conditions. This paper presents an analytical method for three‐dimensional optimization problem. An algorithm for determining optimal operating conditions is also given. Copyright © 2007 John Wiley & Sons, Ltd.     

Free discontinuity problems with unbounded data: The two dimensional case

We prove the existence of a minimizing pair for the functionalG defined for every closed setK ⊂R ² and for every functionu ∈C ¹(ω/K) by where ω is an open set inR ², λ, μ>0,q≥1,g ∈L ^q (ω) ∩L ^p (ω) withp>2q andH ¹ is the 1-dimensional Hausdorff measure.     

An integrated fuzzy simulation-fuzzy data envelopment analysis algorithm for job-shop layout optimization: The case of injection process with ambiguous data

This paper puts forward an integrated fuzzy simulation-fuzzy data envelopment analysis (FSFDEA) algorithm to cope with a special case of single-row facility layout problem (SRFLP). Discrete-event-simulation, a powerful tool for analyzing complex and stochastic systems, is employed for modeling different layout formations. Afterwards, a range-adjusted measure (RAM) is used as a data envelopment analysis (DEA) model for ranking the simulation results and finding the optimal layout design. Due to ambiguousness associated with the processing times, fuzzy sets theory is incorporated into the simulation model. Since the results of simulation are in the form of possibility distributions, the DEA model is treated on a fuzzy basis; therefore, a recent possibilistic programming approach is used to convert the fuzzy DEA model to an equivalent crisp one. The proposed FSFDEA algorithm is capable of modeling and optimizing small-sized SRFLP’s in stochastic, uncertain, and non-linear environments. The solution quality is inspected through a real case study in a refrigerator manufacturing company.     

The design and data processing of the Sampling Survey of Children's situation in China, 1987

In July of 1987, the Sampling Survey of Children's Situation was conducted in 9 provinces/autonomous regions of China. A stratified two-stage cluster sampling plan was designed for the survey. The paper presents the methods of stratification, selectingn=2 PSU's (cities/counties) with unequal probabilities without replacement in each stratum and selecting residents/village committees in each sampled city/county. All formulae of estimating population characteristics (especially population totals and the ratios of two totals), and estimating variances of those estimators are given. Finally, we analyse the precision of the survey preliminarily from the results of data processing.Supported partially by the National Funds of Natural Sciences, 7860013.     

Suggestion for teaching of administrative data processing at Swedish universities

The present paper describes the curriculum for a new academic subject, Administrative data processing, as suggested by a committee appointed by the Chancellor of the Swedish universities. For convenience a subdivision into small units, so-called modules, each one corresponding to about one month's study, has been made. Parts of the program are already under way, especially in Gothenburg and Lund.     

Regularization of the double period method for experimental data processing

In physical and technical applications, an important task is to process experimental curves measured with large errors. Such problems are solved by applying regularization methods, in which success depends on the mathematician’s intuition. We propose an approximation based on the double period method developed for smooth nonperiodic functions. Tikhonov’s stabilizer with a squared second derivative is used for regularization. As a result, the spurious oscillations are suppressed and the shape of an experimental curve is accurately represented. This approach offers a universal strategy for solving a broad class of problems. The method is illustrated by approximating cross sections of nuclear reactions important for controlled thermonuclear fusion. Tables recommended as reference data are obtained. These results are used to calculate the reaction rates, which are approximated in a way convenient for gasdynamic codes. These approximations are superior to previously known formulas in the covered temperature range and accuracy.