On weighted inductive limits of spaces of ultradifferentiable functions and their duals

In the first part of this paper we discuss the completeness of two general classes of weighted inductive limits of spaces of ultradifferentiable functions. In the second part we study their duals and characterize these spaces in terms of the growth of convolution averages of their elements. This characterization gives a canonical way to define a locally convex topology on these spaces and we give necessary and sufficient conditions for them to be ultrabornological. In particular, our results apply to spaces of convolutors for Gelfand–Shilov spaces.     

电感耦合等离子体原子发射光谱(ICP-AES)法测定钒铝、铬铝中间合金中铁和硅

建立了采用电感耦合等离子体原子发射光谱(ICP-AES)法测定钒铝、铬铝中间合金中铁、硅含量的分析方法。通过对溶样酸选择、基体干扰、加标回收和精密度等实验条件的考察,确定了方法的测定范围为0.010%~0.50%。解决了以往分光光度法测定时操作复杂、费时费力的问题,为大规模生产的质量控制提供了有效的技术,对以后相似合金铁、硅含量的测定提供参考。     

电感耦合等离子体串联质谱(ICP-MS/MS)法混合模式同时测定土壤中7种重金属元素

为高效、准确、批量对土壤中多元素进行同时检测,本文通过改善消解模式、载气流速,优化了质谱条件,采用电感耦合等离子体串联质谱法(ICP-MS/MS)测定土壤中7种重金属元素。样品经王水预消解,氢氟酸+高氯酸+硝酸消解,以103^Rh作为内标溶液消除基体干扰,在MS模式下通入氦气(即氦气模式),MS/MS模式下通入氧气(即氧气模式)消除质谱干扰的方式测定土壤中As、Pb、Cd、Cr、Ni、Cu、Zn 7种重金属元素。结果表明：当氦气流量为5.0mL/min,氧气流量为0.40mL/min时方法灵敏度和干扰消除效果最好。该方法的线性范围超过3个数量级,相关系数 r≥0.9999,检出限为0.01~1.00mg/kg,相对标准偏差(RSD)为1.5~10.2%。通过3个国家土壤一级标准物质(GBW07403a、GBW07404a、GBW07405a)对该方法进行了方法学验证,验证结果均在参考值范围内。     

Sequential completeness and regularity of inductive limits of webbed spaces

Any inductive limit of bornivorously webbed spaces is sequentially complete iff it is regular.     

NON-CONFLICTING ORDERING CONES AND VECTOR OPTIMIZATION IN INDUCTIVE LIMITS

Let(E, ξ) = ind(En, ξn) be an inductive limit of a sequence(En, ξn)n∈N of locally convex spaces and let every step(En, ξn) be endowed with a partial order by a pointed convex(solid) cone Sn. In the framework of inductive limits of partially ordered locally convex spaces,the notions of lastingly efficient points, lastingly weakly efficient points and lastingly globally properly efficient points are introduced. For several ordering cones, the notion of non-conflict is introduced. Under the requirement that the sequence(Sn)n∈N of ordering cones is nonconflicting, an existence theorem on lastingly weakly efficient points is presented. From this,an existence theorem on lastingly globally properly efficient points is deduced.     

新型磁阻传感器测量地磁场实验的教学探讨

探讨了一种新型磁阻传感器在测量地磁场方面的应用。特别在确定地磁子午面方向和测量磁倾角上,提出了新的实验方法。该方法具有操作简单,精确度高等优点。在实验中,学生能够容易掌握关键操作要点,取得了不错的实验教学成果。     

Topological entropy, embeddings and unitaries in nuclear quasidiagonal -algebras

Using topological entropy of automorphisms of -algebras, it is shown that some important facts from the theory of AF algebras do not carry over to the class of algebras.

It is shown that in general one cannot perturb a basic building block into a larger one which almost contains it. The same entropy obstruction used to prove this fact also provides a new obstruction to the known fact that two injective homomorphisms from a building block into an algebra need not differ by an (inner) automorphism when they agree on K-theory.

     

Origin of 13C complexation shifts in the adduct formation of 2-butyl phenyl ethers with a dirhodium tetracarboxylate complex

Complexation of the oxygen atom in 2-butyl phenyl ethers to a rhodium atom of the dirhodium tetracarboxylate Rh(II) 2[(R)-(+)-MTPA]4(Rh*, MTPA-H = methoxytrifluoromethylphenylacetic acid identical with Mosher's acid) deshields an sp3-hybridized 13C nucleus directly bonded to the ether oxygen; apparently, the inductive effect of the oxygen is enhanced when it is complexed to the rhodium atom. On the other hand, deshielding complexation shifts of aromatic ipso-carbons (alpha-positioned) are minute but ortho- and para-carbon signals are influenced by the resonance effect of oxygen. This effect can be modulated by further substituents at the benzene ring. In turn, this modulation of the resonance correlates linearly ith the magnitude of the inductive effect exerted on the aliphatic alpha-carbon atoms. Diastereomeric dispersion effects at 13C signals can be observed for most compounds, indicating that enantiodifferentiation is possible in this class of ethers.     

有机羧酸的光催化分解反应

测定了各种有机羧酸在Pt/TiO₂粉末悬浮体系中的光催化分解速度。不同分子结构的有机羧酸的光催化分解速度有明显的差别。通过计算与羧基相连的各种基团的诱导效应指数,发现基团的推电子能力对有机羧酸的光催化分解速度起主导作用,找到了有机羧酸光催化分解速度与其分子结构间的关系。