Construction of <i>k</i>-Variate Survival Functions with Emphasis on the Case <i>k</i>= 3

The purpose of this paper is to present a general universal formula for k-variate survival functions for arbitrary k = 2, 3, ..., given all the univariate marginal survival functions. This universal form of k-variate probability distributions was obtained by means of “dependence functions” named “joiners” in the text. These joiners determine all the involved stochastic dependencies between the underlying random variables. However, in order that the presented formula (the form) represents a legitimate survival function, some necessary and sufficient conditions for the joiners had to be found. Basically, finding those conditions is the main task of this paper. This task was successfully performed for the case k = 2 and the main results for the case k = 3 were formulated as Theorem 1 and Theorem 2 in Section 4. Nevertheless, the hypothetical conditions valid for the general k ≥ 4 case were also formulated in Section 3 as the (very convincing) Hypothesis. As for the sufficient conditions for both the k = 3 and k ≥ 4 cases, the full generality was not achieved since two restrictions were imposed. Firstly, we limited ourselves to the, defined in the text, “continuous cases” (when the corresponding joint density exists and is continuous), and secondly we consider positive stochastic dependencies only. Nevertheless, the class of the k-variate distributions which can be constructed is very wide. The presented method of construction by means of joiners can be considered competitive to the copula methodology. As it is suggested in the paper the possibility of building a common theory of both copulae and joiners is quite possible, and the joiners may play the role of tools within the theory of copulae, and vice versa copulae may, for example, be used for finding proper joiners. Another independent feature of the joiners methodology is the possibility of constructing many new stochastic processes including stationary and Markovian.

Construction Theory of Function on Local Fields

We establish the construction theory of function based upon a local field Kp as underlying space. By virture of the concept of pseudo-differential operator, we introduce ＂fractal calculus＂ （or, p-type calculus, or, Gibbs-Butzer calculus）. Then, show the Jackson direct approximation theorems, Bermstein inverse approximation theorems and the equivalent approximation theorems for compact group D（C Kp） and locally compact group Kp^＋-（= Kp）, so that the foundation of construction theory of function on local fields is established. Moreover, the Jackson type, Bernstein type, and equivalent approximation theorems on the HOlder-type space C^σ（Kp）, σ 〉0, are proved; then the equivalent approximation theorem on Sobolev-type space Wr（Kp）, σ≥0, 1≤r 〈∞, is shown.

The Cox-Aalen Models as Framework for Construction of Bivariate Probability Distributions, Universal Representation

Starting with the Aalen （1989） version of Cox （1972） ＇regression model＇ we show the method for construction of ＂any＂ joint survival function given marginal survival functions. Basically, however, we restrict ourselves to model positive stochastic dependences only with the general assumption that the underlying two marginal random variables are centered on the set of nonnegative real values. With only these assumptions we obtain nice general characterization of bivariate probability distributions that may play similar role as the copula methodology. Examples of reliability and biomedical applications are given.

The Structure of Classifier Constructions and Some Related Theoretical Issues

Some questions regarding the analysis of classifiers and classifier constructions are raised in this paper.The classifier,as a mere adjunct adjoining to the head,cannot serve as the head of the noun phrase containing it,and as a result,it cannot project as ClP or nP.Under this approach,the DP analysis and the classifier construction theory are further refined.The constituents which precede and follow the classifier are analyzed in terms of their syntactic functions,semantic relations,linear features,feature assignment and syntactic occurrence in order to represent the classifier construction with the X-bar phrase structure theory appropriately and correctly and present a universal approach to classifier constructions in various languages.

Analysis of the Forming Process of Construction Enterprise Culture Based on the QFD Theory

In order to clarify the direction and way of construction enterprise culture,the method of construction enterprise culture based on quality function deployment(QFD)theory is put forward.Firstly,the paper analyzes the QFD theory and the forming process of construction enterprise culture and considers that the two have strong adaptability in the aspects of basic characteristics,implementation process,and logical relationship.Secondly,based on QFD,the basic framework of construction enterprise culture is established,which is divided into three stages:cultural planning,process planning,and implementation planning.Finally,the paper expounds on each link of the cultural planning matrix in detail.

Reshaping the New Paradigm of Classroom Culture Construction in Colleges and Universities

The classroom is an important place for“three guarantees”education.Classroom culture refers to a group culture with both teachers and students as the main body,the classroom space as the carrier,and spiritual connotation as the core.The creation of classroom culture with school characteristics,characteristics of the times,and Chinese characteristics can reflect the aesthetic perspective and value orientation of the school,which has far-reaching significance for the growth of students and their future development.This paper takes the construction of classroom culture in colleges and universities as the research subject,obtains real data,and conducts variable analysis through questionnaire survey and structured interview,with the aim of enriching the educational function of the classroom.It involves how the classroom culture pays attention to the current life,needs,and desires of college and university students,along with the problems and functions that should be improved in the traditional construction.This paper also discusses and reshapes the new paradigm of classroom culture construction in colleges and universities based on the combination of student growth,subject areas,school culture,and advanced technology.

The Function of Cigar in Blackmail

This thesis intends to use the symbolic structure of cigar to analyze the extract Blackmail from Arthur Hailey's short novel Hotel.The function of cigar in Blackmail can be concluded as a) constructive clue of the plot progression,b) genteel carrier in making up characters.Rotating around the constructive clue,cigar,the writer of this thesis breaks down the whole story into seven parts,i.e.mystical entrance,prelude,crossfire,preparatory victory,absolute superiority,negotiation (absence of cigar) and discard.As to cigar's function of making up character,this thesis examines it from four main social and historical aspects,i.e.the origin of cigar in history,the social token of cigar,the complicated approaches of using cigar,and the historical stereotypes related to cigar smoking.

Analysis of the Establishment of Eco-trail System

By clarifying the concept and function of eco-trail,the planning principles of eco-trail in China were proposed(ecological conservation,overall accessibility,recreational sightseeing,historical and cultural implication),then the construction indexes of eco-trail were put forward,specifically,① Trail width,2-12 m,depends on actual conditions of different sections;② Width of green belt,also varies in different sections and types,such as the green belt for traffic eco-trail is around 2-5 m,for eco-trail protecting rivers 10-15 m,for natural ridge-type eco-trail should be more than 12 m,and the width of green belt for tourism cultural eco-trail is diversified according to the section it passes;③ Infrastructures of eco-trail,including barrier-free design(mainly blind pass design),water supply and drainage system(generally pipes or channels,always designed by combining with other road types in the downtown,including the layout of side-drainage,gutter inlet and linking pipe),lighting facilities(including road lighting and landscape lighting),sign system(including indicating signs and security signs).Through constructing eco-trails in cities,the harmonious unification of human beings,city and natural environment is to be achieved.

UNIFORM ANALYTIC CONSTRUCTION OF WAVELET ANALYSIS FILTERS BASED ON SINE AND COSINE TRIGONOMETRIC FUNCTIONS

Based on sine and cosine functions, the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time. When N = 2(k-1) and N = 2k, the unified analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and some other well-known wavelet filters are tested by the proposed novel method which is very useful for wavelet theory research and many application areas such as pattern recognition.

Development and Prospect of Zoning Mode in the Three Rounds of Overall Land Use Planning of China

Zoning system is the basic mode of establishment of overall land use planning. In this study,the zoning mode and practice in the three rounds of overall land use planning that have been carried out in China were analyzed and summarized firstly,and then some obvious problems existing in the implementation of the zoning mode were analyzed. Finally,countermeasures and suggestions were put forward to provide necessary reference for further development and improvement of the zoning mode and the development of overall land use planning at all levels in China.

The Jacobi elliptic function-like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term

By use of an auxiliary equation and through a function transformation, the Jacobi elliptic function wave-like solutions, the degenerated soliton-like solutions and the triangle function wave solutions to two kinds of Korteweg de Vries （KdV） equations with variable coefficients and a KdV equation with a forcible term are constructed with the help of symbolic computation system Mathematica, where the new solutions are also constructed.

The Existence and Uniqueness of the Solution for Perio dical Boundary Value Problems of 2k th Order Differential Equations with Resonance

In this paper, a new set of sufficient conditions related to an initial value problem and global homeomorphism is obtained in discussing the existence and uniqueness of 2π-periodic solution for 2kth order differential equations with resonance. The key role is played by nonnegative auxiliary scalar coercive function. The result of this paper generalizes some existed theorems.

Comparative Analysis of Imperial Gardens in the Han Dynasty

The Han Dynasty was the foundation period of Chinese feudal society and an important period for the growth and development of imperial gardens.Therefore,the Han Dynasty has always been a hot topic in the study of Chinese classical garden history.This study analyzed the background and mainstream thoughts of the Han Dynasty,compared creative ideas,construction techniques,and garden construction achievements of imperial gardens in the Han Dynasty,and elaborated on the similarities and differences between creative ideas,gardening techniques,and social functions of imperial gardens in the Han Dynasty.It is hoped that through this study,the status of the gardening art of the Han Dynasty in the history of Chinese classical gardens can be evaluated more scientifically and objectively,and some reliable theoretical basis for modern garden design is provided.

Theoretical study on the morphology of cobalt nanoparticles modulated by alkali metal promoters

Cobalt nanoparticles(NPs)catalysts are extensively used in heterogeneous catalytic reactions,and the addition of alkali metal promoters is a common method to modulate the catalytic performance because the catalyst's surface structures and morphologies are sensitive to the addition of promoters.However,the underlying modulation trend remains unclear.Herein,the adsorption of alkali metal promoters(Na and K)on the surfaces of face-centered-cubic(FCC)and hexagonal-closest packed(HCP)polymorphous cobalt was systematically investigated using density functional theory.Furthermore,the effect of alkali promoters on surface energies and nanoparticle morphologies was revealed on the basis of Wulff theory.For FCC-Co,the exposed area of the(111)facet in the nanoparticle increases with the adsorption coverage of alkali metal oxide.Meanwhile,the(311),(110),and(100)facets would disappear under the higher adsorption coverage of alkali metals.For HCPCo,the Wulff morphology is dominated by the(0001)and(1011)facets and is independent of the alkali metal adsorption coverage.This work provides insights into morphology modulation by alkali metal promoters for the rational design and synthesis of cobalt-based nanomaterials with desired facets and morphologies.

A constructive method for approximating trigonometric functions and their integrals

This paper presents an interpolation-based method(IBM)for approximating some trigonometric functions or their integrals as well.It provides two-sided bounds for each function,which also achieves much better approximation effects than those of prevailing methods.In principle,the IBM can be applied for bounding more bounded smooth functions and their integrals as well,and its applications include approximating the integral of sin(x)/x function and improving the famous square root inequalities.

Comparing the Functionality between Virtual Reality and Mixed Reality for Architecture and Construction Uses

Virtual Reality (VR) and Mixed Reality (MR) offer unique opportunities for the architecture and construction industry through different approaches with building information modeling (BIM). While VR offers architecture and construction practitioners the ability to personally experience the built environment in an immersive, MR with its unique ability of overlaying digital information in the real world allows practitioners to perform on-site visualization for construction planning and as-built verification. With their similar but distinct characteristics, VR and MR offer a variety of functionality to the architecture and construction industry that often confuses practitioners on what to choose to best fit their needs. To clarify this confusion, this paper investigates the available technologies of VR and MR in terms of both hardware and software and compares the functionality between the two for architecture and construction uses. While VR hardware has been developed into three categories based on their connection types and tracking methods, MR hardware has mainly focused on standalone devices. Eight VR software and nine MR software have been identified, investigated, and compared. This paper provides the latest information for architecture and construction practitioners on how VR and MR hardware and software work similarly and differently.

Effective method for the design of S-Boxes satisfying the strict avalanche criterion(SAC)

The strict avalanche criterion(SAC)is one of the most important cryptographic criteria for substitution boxes(S-boxes)used in many symmetric encryption systems.However,there are few constructive methods for S-boxes fulfilling the SAC until now.In this paper,to construct S-boxes satisfying the SAC directly,we generalize the concatenation techniques of Boolean functions to S-boxes.Using the idea of concatenating small variable S-boxes,we present a simple yet effective construction method of S-boxes satisfying the SAC.Finally,a simple example on how to construct SAC S-boxes with large input variables by small variables SAC S-boxes is given.

Research on the characteristics of the mode of the network ideological and political education of college students

With the development and progress of the social sciences, the Party and the state have attached great importance to the work of the construction of the informatization. Especially the Eighteenth National Congress of the CPC put forward the synchronous development of the ＂four modernizations＂, and promoted the information technology to the national strategy, making the field of the construction of the informatization broader, so that the informatization also occupied an important position in the construction of colleges and universities. The development of the informatization plays an important role in the development of colleges and universities.

Research on the Separable and Combinable Object NP Construction

There is a separable and combinable object NP construction in modern Chinese.The modifier or the central part of it can be moved forward to the beginning as the topic.The combined construction delivers the objective expression,while the separated construction implies the subjective understanding.The transformation is driven by pragmatic factors.Firstly,the article discusses the combined and the separated constructions meanings.Secondly,the article analyzes the form differences which are caused by their meanings.At last,the article discusses the discourse function variation caused by the form transformation and introduces the objective and subjective differences of human natural language expression.

The Boussinesq方程新的精确解

借用一种改进的辅助函数法,结合Maple环境中的Epsilon软件包,求解The Boussinesq方程,获得了若干其它方法不曾给出的,形式更为丰富的新的显示行波解,其中包括双曲函数解和三角函数解。