The Cambridge Mathematical Journal and its descendants: the linchpin of a research community in the early and mid-Victorian Age

The Cambridge Mathematical Journal and its successors, the Cambridge and Dublin Mathematical Journal, and the Quarterly Journal of Pure and Applied Mathematics, were a vital link in the establishment of a research ethos in British mathematics in the period 1837–1870. From the beginning, the tension between academic objectives and economic viability shaped the often precarious existence of this line of communication between practitioners. Utilizing archival material, this paper presents episodes in the setting up and maintenance of these journals during their formative years.     

核药物发展小记

简要回顾了20世纪70年代以来核药物领域发展的主要成就,并对目前在临床上应用最为广泛的核药物探针[18F]FDG作了重点介绍。[18F]FDG的发展可追溯至20世纪20年代,历经半个世纪终于成功应用于临床,在肿瘤、神经退行性疾病、心血管疾病的诊断中发挥了巨大作用。除此以外,本文也介绍了多肽类及蛋白类核药物的最新进展。在梳理核药物发展脉络的同时,本文也借此机会向读者介绍了几位为核药物发展做出巨大贡献的科学家,并作为晚辈向其致以崇高的敬意。最终,笔者希望向读者阐明核药物研究立足基础研究、面向临床问题的学科特色,也希望读者能通过对经典核药物发展脉络的了解,对自身的科学研究有所启发。     

高分子染料的进展

高分子染料是一类本身固有颜色的高分子化合物，它兼有染料和高聚物的双重性质。因此既可作为色料也可作为高聚物而应用于许多领域。本文较详细阐述了聚合染料的种类，合成方法及应用情况。     

The activity of Au supported on various types of carbon in the ring transformation reactions of methyloxirane

Summary  Vezetéknév     

Study of Conic Permanent Magnet Bearings

Due to recent advances in rare-earth technologies, application of permanent magnets has gained a new interest. As bearing elements, permanent magnets offer important advantages, such as the noticeable reduction of friction losses and the capability of achieving high speeds. A tapered geometry is investigated by means of finite element analysis and by a purpose-developed software based on magnetostatic integral equations. On the basis of the equivalent currents method, some basic relations have also been obtained that permit to study the influence of the magnetization angles, once four 'geometry' vectors are known. The present study may be used as a starting point for an optimization procedure on the shape and magnetization directions of permanent magnet bearings.     

What is the Inverse of a Basis?

A formula is given for the inverse of the linear map, from coordinate space to a linear space, induced by a basis for that linear space, which is then connected to various basic Applied Linear Algebra constructs.This revised version was published online in October 2005 with corrections to the Cover Date.     

Stereoselective preparation of methylenecyclobutane-fused angular tetracyclic spiroindolines via photosensitized intramolecular [2+2] cycloaddition with allene

Irradiation of 3-(hexa-4,5-dienyl)indole derivatives in the presence of 3′,4′-dimethoxyacetophenone by a high-pressure mercury lamp through Pyrex glass gave the corresponding [2+2] cycloaddition products stereoselectively in high yields. The major product was a methylenecyclobutane-fused angular tetracyclic spiroindoline derivative produced by the [2+2] cycloaddition through a parallel orientation. The minor product was a hexahydromethanocarbazole derivative through a crossed orientation. Electron-withdrawing substituents, such as acyl or alkoxycarbonyl, on the indole nitrogen were suitable for this reaction.     

A finitization of Littlewood's Tauberian theorem and an application in Tauberian remainder theory

In this paper we study Littlewood's Tauberian theorem from a proof theoretic perspective. We first use the Dialectica interpretation to produce an equivalent, finitary formulation of the theorem, and then carry out an analysis of Wielandt's proof to extract concrete witnessing terms. We argue that our finitization can be viewed as a generalized Tauberian remainder theorem, and we instantiate it to produce two concrete remainder theorems as a corollary, in terms of rates of convergence and rates metastability, respectively. We rederive the standard remainder estimate for Littlewood's theorem as a special case of the former.     

The generalized yolk point

The generalized yolk point is defined and solved using constructive geometric techniques. A numerical example illustrates the solution methodology and form of the associated size functional.     

Decision making with hybrid influence diagrams using mixtures of truncated exponentials

Mixtures of truncated exponentials (MTE) potentials are an alternative to discretization for representing continuous chance variables in influence diagrams. Also, MTE potentials can be used to approximate utility functions. This paper introduces MTE influence diagrams, which can represent decision problems without restrictions on the relationships between continuous and discrete chance variables, without limitations on the distributions of continuous chance variables, and without limitations on the nature of the utility functions. In MTE influence diagrams, all probability distributions and the joint utility function (or its multiplicative factors) are represented by MTE potentials and decision nodes are assumed to have discrete state spaces. MTE influence diagrams are solved by variable elimination using a fusion algorithm.