关于定积分概念的数列化

讨论定积分概念的数列化及其相关问题．使用经典的精确分析方法,得到一个数列化的可积的充要条件．探索微元法表述后续相关概念与证明相关结果．同时举例说明定积分概念数列化的优越性与微元法处理后续相关问题的可行性．     

求幂级数和函数的微分方程方法

按照通常求幂级数和函数的思路．对一些幂级数并不能奏效．在某些情况下．可以引入求幂级数和函数的微分方程方法．其主要思路是通过建立和函数的微分方程。将幂级数求和函数问题化为微分方程初值问题来求解．     

二阶奇异微分方程组边值问题两个正解的存在性

利用锥拉伸和锥压缩不动点定理,给出了一类二阶微分方程组奇异边值问题两个正解的存在性.     

“比和比例”大观园一日游

Q岛中心小学校园的东头有一所带围墙的大观园。据说是学校的重难点知识教学基地．这次园里安排了“比和比例”的知识点,还在各个教学景点安排了专门的解说员。     

静脉壁的力学特性及负压失稳问题

应用一类超弹性应变能函数,通过非线性弹性理论,研究了静脉壁在跨壁压及轴向拉伸联合作用下的变形和应力分布等力学特性,并分析了静脉壁的负压失稳问题．首先利用超弹性材料薄壁圆筒模型,得到了静脉壁在跨壁压及轴向拉伸联合作用下的变形方程,给出了正常静脉压下静脉壁的变形曲线和应力分布曲线,讨论了静脉壁的变形和应力分布规律．然后给出了负跨壁压下静脉壁的变形曲线,并由能量比较讨论了静脉壁的负压失稳问题．     

设计和鉴定花生主要过敏原Ara h 2低致敏原衍生物

构建序列重新组合的Ara h 2表达载体,表达并纯化该蛋白,鉴定其低致敏原性。将Ara h 2基因进行合理的缺失和重排,并将重排后的基因T-Ara h 2克隆到原核表达载体pET-32a(+)上,然后转入Origami宿主表达菌中;再用IPTG诱导其表达;通过Ni2+亲和层析(FPLC)纯化目的蛋白;Western-blotti     

A Comparative Study of fB within QCD Sum Rules with Two Typical Correlators up to Next-to-Leading Order

The B-meson decay constant f_B is an important component for studying the B-meson decays, which can be studied through QCD sum rules. We make a detailed discussion on f_B from two sum rules up to next-to-leading order, i.e. sum rules I and II, which are derived from the conventional correlator and the correlator with chiral currents respectively. It is found that these two sum rules are consistent with each other. The sum rules II involves less non-perturbative condensates as that of sum rules I, and in principle, it can be more accurate if we know the dimension-four gluon condensate well. It is found that f_B decreases with the increment of m_B, and to compare with the Belle experimental data on f_B, both sum rules I and II prefer smaller pole b-quarkmass, m_b=4.68±0.07 GeV. By varying all the input parameters within their reasonable regions and by adding all the uncertainties in quadrature, we obtain f_B=172^{+23}_{-25} MeV for sum rules I and f_B=214_{-34}^{+26} MeV for sum rules II.     

Zero divisors and prime elements of bounded semirings

A semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. A bounded semiring is a semiring equipped with a compatible bounded partial order. In this paper, properties of zero divisors and prime elements of a bounded semiring are studied. In particular, it is proved that under some mild assumption, the set Z（A） of nonzero zero divisors of A is A ／ {0, 1}, and each prime element of A is a maximal element. For a bounded semiring A with Z（A） = A ／ {0, 1}, it is proved that A has finitely many maximal elements if ACC holds either for elements of A or for principal annihilating ideals of A. As an application of prime elements, we show that the structure of a bounded semiring A is completely determined by the structure of integral bounded semirings if either ｜Z（A）｜ = 1 or ｜Z（A）｜ -- 2 and Z（A）2 ≠ 0. Applications to the ideal structure of commutative rings are also considered. In particular, when R has a finite number of ideals, it is shown that the chain complex of the poset I（R） is pure and shellable, where I（R） consists of all ideals of R.     

原子荧光光谱法对果园土壤中砷和汞空间分布特征的研究

利用王水消解—双道原子荧光光谱法测定了山东省苹果主产区栖霞市果园土壤中的As和Hg含量,验证了检测方法的检出限、准确度与精密度,分析了栖霞市果园土壤中重金属As和Hg的空间分布特征,并对栖霞市果园土壤中As和Hg的污染状况进行评价。结果表明：栖霞市果园土壤中As的含量范围为2.79～20.93 mg·kg-1,平均值为10.59 mg·kg-1,而Hg的含量范围为0.01～0.79 mg·kg-1,平均值为0.12 mg·kg-1。As元素在土壤中变异较小,而Hg元素在土壤中变异较大。频数分布图显示,土壤中As元素含量基本符合正态分布,含量大多在7～15 mg·kg-1之间,土壤中Hg元素含量不符合正态分布,含量大多在0.03～ 0.21 mg·kg-1之间。土壤As和Hg含量与土壤各养分指标之间的相关性均不显著,且土壤中As和Hg两种元素之间亦无显著的相关关系。以国家绿色食品产地环境质量标准为评价依据,栖霞市果园土壤As含量处于无污染的清洁水平,而土壤Hg的污染指数大于1的样点占总数的4.76%,需要引起管理者的注意。     

一种综合学习粒子群优化算法

针对复杂多峰函数优化,提出了一种综合学习粒子群优化算法(IELPSO)。该算法把基于超球坐标系的粒子更新和辨识、加速质量差的粒子两个策略引入基于例子学习粒子群优化算法(ELPSO)。本算法利用超球坐标操作改变粒子大小和方向,因而粒子在搜索过程中能覆盖局部极小,同时能发现最差粒子并且加速它们靠拢最优解。提出的算法与其他已有算法进行了比较,对几种典型函数的测试结果表明,IELPSO算法提高了收敛速度和精度,全局搜索能力有了显著提高。