由格蕴涵代数诱导的伴随半群

给出由格蕴涵代数诱导出的伴随半群及有关概念 ,详细讨论伴随半群中的元素即格蕴涵代数的左映射的性质 ,得到它们的几个等价条件。最后讨论由格蕴涵代数诱导的两个双格半群与伴随半群之间的关系 ,并证明这些半群是幂等的当且仅当它们是由格 H蕴涵代数所诱导     

On ordered categories as a framework for fuzzification of algebraic and topological structures

Using the framework of ordered categories, the paper considers a generalization of the fuzzification machinery of algebraic structures introduced by Rosenfeld as well as provides a new approach to fuzzification of topological structures, which amounts to fuzzifying the underlying “set” of a structure in a suitably compatible way, leaving the structure itself crisp. The latter machinery allows the so-called “double fuzzification”, i.e., a fuzzification of something that is already fuzzified.     

图K_n-E(k_0P_3(∪ri=1k_iP(q_i-1)))的色唯一性

记δｎ＝ｋ≤ｎｋｎ－ｋ，在本文中证明了：ｒ∈Ｎ，若ｉ∈｛１，２，…，ｒ｝，ｑｉ（＞５）都是素数，并且［（δｑｉ－１－１）！＋１］／δｑｉ－１是正整数，则图簇Ｋｎ－Ｅｋ０Ｐ３∪ｋ１Ｐｑ１－１∪ｋ２Ｐｑ２－１∪…∪ｋｒＰｑｒ－１是色唯一的，推广了文［１］的结果     

On the number of minimal models of a log smooth threefold

We give a topological bound on the number of minimal models of a class of three-dimensional log smooth pairs of log general type.     

Drinfeld Realization of Twisted Quantum Affine Algebras

The quantum affine algebra has two realizations, the usual Drinfeld–Jimbo definition and a new Drinfeld realization given by Drinfeld. In this article, we use the adjoint action to prove that these two realizations are isomorphic for the twisted quantum affine algebra.     

阳离子基因载体的pH敏感遮蔽体系的制备及表征

合成了一种pH敏感的遮蔽体系-谷氨酸苄酯/谷氨酸共聚物(PBLG-co-PGA), 用于对DNA/阳离子基因载体复合物颗粒表面正电荷的遮蔽, 以提高其在体内的稳定性. 研究表明, PBLG-co-PGA (PGA(x), x为PGA占共聚物中摩尔百分数)具有pH敏感性. 并以pH敏感点接近生理pH值的PGA(60)为遮蔽体系进行研究. PGA(60)能够对DNA/PEI(1:1)复合物颗粒表面正电荷进行有效遮蔽. 凝胶阻滞电泳显示, 用PGA(60)对DNA/PEI复合物进行不同比例遮蔽, 没有发生与DNA的链交换作用. MTT细胞毒性测试表明, PGA(60)和三元复合物DNA/PEI/PGA(60) 在测试范围内几乎没有细胞毒性. 荧光素酶转染实验表明, 部分遮蔽后转染效率有所提高; 用PGA(60)对DNA/PEI复合物完全遮蔽为负电后, 由于同细胞表面的电荷排斥作用, 三元复合物不易被细胞内吞, 导致不发生细胞转染. 因其合适的pH响应性, PGA(60)将可能成为一种能随pH值的变化, 实现对聚阳离子基因载体进行电荷遮蔽/智能释放的遮蔽材料.     

S~(GS*)类图簇的伴随多项式的因式分解及其色性

通过研究SGS*类图簇的伴随多项式的因式分解,证明了这类图簇的补图的色等价图的结构特征.     

A new class of operators and a description of adjoints of composition operators

Starting with a general formula, precise but difficult to use, for the adjoint of a composition operator on a functional Hilbert space, we compute an explicit formula on the classical Hardy Hilbert space for the adjoint of a composition operator with rational symbol. To provide a foundation for this formula, we study an extension to the definitions of composition, weighted composition, and Toeplitz operators to include symbols that are multiple-valued functions. These definitions can be made on any Banach space of analytic functions on a plane domain, but in this work, our attention is focused on the basic properties needed for the application to operators on the standard Hardy and Bergman Hilbert spaces on the unit disk.     

On the local convergence of adjoint Broyden methods

The numerical solution of nonlinear equation systems is often achieved by so-called quasi-Newton methods. They preserve the rapid local convergence of Newton’s method at a significantly reduced cost per step by successively approximating the system Jacobian though low-rank updates. We analyze two variants of the recently proposed adjoint Broyden update, which for the first time combines the classical least change property with heredity on affine systems. However, the new update does require, the evaluation of so-called adjoint vectors, namely products of the transposed Jacobian with certain dual direction vectors. The resulting quasi-Newton method is linear contravariant in the sense of Deuflhard (Newton methods for nonlinear equations. Springer, Heidelberg, 2006) and it is shown here to be locally and q-superlinearly convergent. Our numerical results on a range of test problems demonstrate that the new method usually outperforms Newton’s and Broyden’s method in terms of runtime and iterations count, respectively. Partially supported by the DFG Research Center Matheon “Mathematics for Key Technologies”, Berlin and the DFG grant WA 1607/2-1.     

Character tables of commutative hecke algebras associated with exceptional weyl groups

The purpose of this paper is to calculate all the character tables of Hecke algebras associated with exceptional Weyl groups and their maximal parabolic subgroups when they are commutative. In the case when Weyl groups are of classical type, they are already known in [D.1] and [D.2]. In §1, we discuss the structure of Hecke algebras and in §2, we calculate all the character tables of these commutative Hecke algebras associated with exceptional Weyl groups.