Asymptotic behavior of solutions of quasilinear parabolic equations with supercritical nonlinearity

The Cauchy problem

(P)     

ON THE MULTIPLE TIME SET OF BROWNIAN MOTIONS

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在交会得出的点集合中搜寻弹道轨迹

用交会法测量多弹道时,需要从交会得出的点集合中搜寻出每发弹丸的飞行轨迹,本文绘出了进行这种搜寻的数据处理方法及仿真结果.     

On the suitability of minimum and product operators for the intersection of fuzzy sets

In many papers concerning fuzzy set theory it is assumed that the membership or an element in the intersection of two or more fuzzy sets is given by the minimum of product of the corresponding membership values. To use these operators in modelling aspects of the real world, such as decision making, however, it is necessary to prove their appropriateness empirically. The main question of this study is whether people rating the membership of objects in the intersection of two fuzzy sets behave in accordance with one of these models. An important problem in answering this question is how to measure membership which seems to have the characteristics of an absolute scale. No measurement structure is available at present, but a practical method for scaling is suggested. The results of our experiments indicate that neither the product nor the minimum fit the data sufficiently well, but the latter seems to be preferable.     

A lower bound for the interval number of a graph

The interval number i(G) of a graph G with n vertices is the lowest integer m such that G is the intersection graph of some family of sets I₁,…,I_n with every I_i being the union of at most m real intervals. In this article a lower bound for i(G) is proved followed by some considerations about the construction of graphs that are critical with respect to the interval number.     

Boolean sublattices connected with minimization problems on matroids

It is noted that the decomposition of a network presented by J.C. Picard and M. Queyranne through an algorithmic argument may be defined from a general lattice-theoretic result for more general problems for which the equalities of maximum-flow minimum-cut type hold.     

A short Proof of Bezout's Theorem in P2

We will give a new short proof of Bezout's Theorem for complex algebraic curves in P ² which is local.     

On the Irreducible Components of the Form Ring and an Application to Intersection Cycles

Let A be a commutative Noetherian ring and I an ideal in A. We characterize algebraically when all the minimal primes of the associated graded ring G _I A contract to minimal primes of A/I. This, applied to intersection theory, means that there are no embedded distinguished varieties of intersection. The characterization is in terms of the analytic spread of certain localizations of I, the symbolic Rees algebra, and the normalization of the Rees algebra, and extends results of Huneke, Vasconcelos, and Martí-Farré.