On the Discrete Criteria and JØ rgensen Inequalities for SL(m,F((t)))

In this paper, the author gives the discrete criteria and J\o rgensen inequalities of subgroups for the special linear group on $\overline{\mathrm{F}}((t))$ in two and higher dimensions.     

A preconditioned general two-step modulus-based matrix splitting iteration method for linear complementarity problems of H+-matrices

Numerical Algorithms - In this paper, we present a preconditioned general two-step modulus-based iteration method to solve a class of linear complementarity problems. Its convergence theory is...     

A generalization of lifting non-proper tropical intersections

Let X and $X^{\prime }$ be closed subschemes of an algebraic torus T over a non-archimedean field. We prove the rational equivalence as tropical cycles in the sense of [11, §2] between the tropicalization of the intersection product $X?X^{\prime }$ and the stable intersection $\mathrm{trop}(X)?\mathrm{trop}(X^{\prime })$, when restricted to (the inverse image under the tropicalization map of) a connected component C of $\mathrm{trop}(X)\cap \mathrm{trop}(X^{\prime })$. This requires possibly passing to a (partial) compactification of T with respect to a suitable fan. We define the compactified stable intersection in a toric tropical variety, and check that this definition is compatible with the intersection product in [11, §2]. As a result we get a numerical equivalence between $\stackrel{￣}{X}?{\stackrel{￣}{X}}^{\prime }{|}_{\stackrel{￣}{C}}$ and $\stackrel{￣}{\mathrm{trop}(X)?\mathrm{trop}(X^{\prime }){|}_C}$ via the compactified stable intersection, where the closures are taken inside the compactifications of T and ${\mathbb{R}}^n$. In particular, when X and $X^{\prime }$ have complementary codimensions, this equivalence generalizes [15, Theorem 6.4], in the sense that $X\cap X^{\prime }$ is allowed to be of positive dimension. Moreover, if $\stackrel{￣}{X}\cap {\stackrel{￣}{X}}^{\prime }$ has finitely many points which tropicalize to $\stackrel{￣}{C}$, we prove a similar equation as in [15, Theorem 6.4] when the ambient space is a reduced subscheme of T (instead of T itself).     

制造云服务组合柔性的四维属性测度方法

云制造环境下服务资源进行动态组合时不可避免地遇到内、外部环境的不确定性,这些不确定性因素直接影响到制造云服务组合的执行成本、效率和质量。为了有效提升制造云服务组合的柔性,需要对其柔性能力进行测度。在假定某待选云服务集中的各服务资源能够以不同的效率替代完成任务的基础上,建立了考虑制造云服务组合柔性的效率柔性、冗余柔性、路径柔性和任务柔性的四维属性测度方法。最后,结合具体算例对该方法的应用过程进行了分析。     

关于概率论学习障碍的分析与对策

对大学生学习概率论的障碍因素进行分析,得出影响概率论学习的障碍因素包含三方面:直观能力,概率思维品质,心理因素及情感,并分析了这几方面因素,给出克服这些障碍的相应对策,以期能从根本上改进传统教学方法,更新传统教学理念.     

Heston随机方差模型下确定缴费型养老金的最优投资

本文对确定缴费计划养老金的最终财富期望指数效用最大的最优投资组合进行研究.假设养老金计划的基金可以投资于无风险资产和风险资产,并且风险资产的方差服从Heston模型,得到最优投资和最大期望指数效用的明确表达式.此外,通过数值计算还得到最优投资与各个参数之间的关系.     

不同类型随机变量和差积商的分布

研究两种不同类型的随机变量,即离散型随机变量ζ与连续型随机变量η的和（ζ＋η）、差（ζ-η）、积（ζη）、商（ζ/η）的分布,给出这些分布的密度函数．     

关于序半群理想的根

Let S be an ordered semigroup.In this paper,we characterize ordered semigroups in which the radical of every ideal（right ideal,bi-ideal） is an ordered subsemigroup（resp.,ideal,right ideal,left ideal,bi-ideal,interior ideal） by using some binary relations on S.     

一个修正Novikov方程弱解的全局存在性

主要研究了一个修正的Novikov方程,并给出了当初值u0(x)满足一定条件时,方程弱解的全局存在性,推广了Novikov方程的相关结果.     

Decay of solutions of a limiting form of Ginzburg–Landau systems involving curl

In this note, we study a semilinear system involving the operator curl in an exterior domain in R³${\mathbb{R}}^3$, which is the limiting form of the Ginzburg–Landau model for superconductors in three dimensions for a large value of the Ginzburg–Landau parameter. We prove that this problem has a smooth solution, and it decays exponentially at infinity.