The set of integer solutions (x 1 , x 2 , x 3) to the equation (1.1) x 2 1 + x 2 2 + x 2 3 = n has been much studied. However it appears that the spatial distribution of these solutions at small and critical scales as n → ∞ have not been addressed. The main results announced below give strong evidence to the thesis that the solutions behave randomly. This is in sharp contrast to what happens wi...

Metadata plays a vital role in both the development and use of statistical information. The production of information requires that data and metadata be viewed as as a totality rather than individually; thus, metadata management must be seen as an integral part of statistics production. Moreover, since metadata provides the basis for human understanding of data, the cognitive aspects of metadat...

Although writing is an integral part of education, there is limited knowledge on how assigned topics influence writing quality both in terms of micro-level linguistic features and macro-level subjective evaluations by human judges. We addressed this question by conducting a study in which 44 students wrote short essays on three different topics: traditional academic-based topics such as the one...

We give several characterizations of discrete Sugeno integrals over bounded distributive lattices, as particular cases of lattice polynomial functions, that is functions which can be represented in the language of bounded lattices using variables and constants. We also consider the subclass of term functions as well as the classes of symmetric polynomial functions and weighted minimum and maxim...

A large class of Type II fluid solutions to Einstein field equations in Ndimensional spherical spacetimes is found, wich includes most of the known solutions. A family of the generalized collapsing Vaidya solutions with homothetic self-similarity, parametrized by a constant λ, is studied, and found that when λ > λc(N), the collapse always forms black holes, and when λ < λc(N), it always forms n...

in this paper, we introduce hybrid of block-pulse functions and bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. then, we utilize them to solvedelay differential equations and time-delay system. the method is based upon ex...

We specifv and estimate an equilibrium job search model with pro” ductivitv differences across labor market segments. The model allows for two types of unemployment: frictional unemployment due to search frictions and structural unemployment due to wage floors. Wage floors exist because of high unemplovment benefits or binding minimum wages. The . productivitv distribution is estimated semi-non...

Let us review the fundamental framework of streaming. Suppose we have a stream coming in from time 0 to time T . At each time t ∈ [T ], the coming element is at ∈ [n]. Frequency for any element i is defined as mi = |{j|aj = i}|. We will see a few problems to solve under this framework. For different problems, we expect to have a complexity of only O(log n) and O(log T ) on either storage or upd...

Nowadays, ontology is applied as an integral part of many applications in several domains, especially in the world of law. The ontology based judicial support system is believed as a useful tool to support, for example, the legal argumentation assistant and legal decision taking in court. The privacy case analyzer is considered as one of the most interesting applications of ontology based priva...

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