严格端点与多面体形赋范空间

本文研究了凸α-体的切锥,切流形及切空间与凸α-体的Minkowski泛函的次微分之间的关系.对于凸α-体的每个代数边界点,存在一个拟直和分解使按代数意义该边界点既是一个子空间的光滑点又是拟余子空间的严格端点.所获一般结论可有效地用于多面体形赋范空间理论.     

一类二阶三点非齐次边值问题正解的存在性

本文讨论了一类二阶三点非齐次边值问题正解的存在性。利用Schander不动点定理，得到了正解的一个存在性结果     

Approximate colored range and point enclosure queries

In this paper, we formulate two classes of problems, the colored range query problems and the colored point enclosure query problems to model multi-dimensional range and point enclosure queries in the presence of categorical information. Many of these problems are difficult to solve using traditional data structural techniques. Based on a new framework of combining sketching techniques and traditional data structures, we obtain two sets of results in solving the problems approximately and efficiently. In addition, the framework can be employed to attack other related problems by finding the appropriate summary structures.     

Discussion of substantially identical gel points among multiallyl monomers based on characterization of resultant network polymer precursors consisting of oligomeric primary polymer chains

No difference in the actual gel points was substantially observed among three isomeric diallyl phthalates such as diallyl phthalate (DAP), diallyl isophthalate, and diallyl terephthalate (DAT); this interesting gelation behavior was discussed further in terms of the correlation between gelation and the difference in cyclization modes, and also, the difference in reactivity between the uncyclized and cyclized radicals for cross‐linking. In the present work, we tried to extend the preceding discussion to the polymerization of triallyl trimellitate (TAT) because the molecular structure of TAT is presumed to essentially involve the characteristics of three isomeric diallyl phthalates and, therefore, the enhanced gelation was expected in TAT polymerization. However, no enhancement of gelation was observed. For a full understanding of the gelation in multiallyl cross‐linking polymerization, we explored further the polymerizations of DAP, DAT, and TAT, especially focusing on the characterization of resultant network polymer precursors (NPPs) using SEC‐MALLS‐viscometry providing the correlation of [η] versus M_w of fractionated samples. Notably, the structure of NPP consisting of oligomeric primary polymer chains generated from specific allyl polymerization would become core‐shell type dendritic with the progress of polymerization. The correlation between delayed gelation and decreased reactivity of dendritic NPP for intermolecular cross‐linking is discussed. Conclusively, the reactivity for intermolecular cross‐linking between NPPs decreased with the progress of polymerization leading to a delayed gelation. © 2009 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 47: 2871–2881, 2009     

On the quantum langevin equation

The quantum Langevin equation is the Heisenberg equation of motion for the (operator) coordinate of a Brownian particle coupled to a heat bath. We give an elementary derivation of this equation for a simple coupled-oscillator model of the heat bath.Deceased.     

Conventionalvs. Gauge-invariant quantum transition probabilities in simple systems. Morse oscillator

Summary Gauge-invariant transition and survival probabilities for a Morse oscillator initially prepared in its ground state are evaluated for the case of intense and short-duration pulses by a nonperturbative approach founded on the solution of the dynamical problem in terms of a Magnus formalism. False probabilities built up from ?conventional”,i.e. gaugedependent, amplitudes are also obtained and contrasted to the true transition probabilities as a test for the difference between them.

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Riassunto Il problema della gauge-invarianza delle probabilità di transizione calcolate in condizioni generali, che è stato riconsiderato da vari autori anche in anni recenti, si esamina dal punto di vista applicativo per il caso di un oscillatore di Morse sottoposto all’azione di un intenso impulso di radiazione di breve durata. Probabilità gauge-invarianti e (false) probabilità, ottenute da ampiezze ?convenzionali?, sono confrontate e discusse.

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Резюме Проблема калибровочной инвариантности вероятности перехода, вычисленной в общем случае, которая рассматривалась рядом авторов, исследуется применительно к осциллятору Морса, взаимодействующему с интенсивным импульсом излучения малой длительности. Сравниваются и обсуждаются калибровочно-инвариантные вероятности и (ошибочные) вероятности, полученные с помощью ?обычных?, т.е. зависящих от калибровки, амплитуд.

     

New methods for calculating the dew/bubble curves of classical model fluids

We describe two new methods for locating the dew/bubble curves of fluids. One is a numerical method and the other an analytical method based on the use of series expansions. The utility of these two methods is illustrated by application to a simple one-component fluid model and to several model polydisperse fluids. The numerical method is based on a new geometric representation of the equilibrium conditions-similar in spirit to the geometric representations often used for solving the equilibrium conditions of pure fluids. Our calculations show that the series-expansion technique can be quite effective at producing accurate representations of the phase boundaries.     

厚针孔成像实时监测高能加速器束斑系统

为了方便地测量封有内靶的高能电子加速器束斑,采用了一种基于厚针孔成像技术的动态监测系统.本文给出了采用该系统在15MeV电子直线加速器束流打靶后的束斑测试结果,并简要介绍了成像原理和处理办法.通常的“三明治”方法需要冲洗X光胶片,整机调试时更要多次冲洗,效率较低.与之相比厚针孔成像方法可以实时成像,配合调机及时观察束斑的变化情况,使加速器参数调整有的放矢,提高了调机效率.     

Noise in a Small Genetic Circuit that Undergoes Bifurcation

Based on the consideration of Boolean dynamics, it has been hypothesized that cell types may correspond to alternative attractors of a gene regulatory network. Recent stochastic Boolean network analysis, however, raised the important question concerning the stability of such attractors. In this paper a detailed numerical analysis is performed within the framework of Langevin dynamics. While the present results confirm that the noise is indeed an important dynamical element, the cell type as represented by attractors can still be a viable hypothesis. It is found that the stability of an attractor depends on the strength of noise related to the distance of the system to the bifurcation point and it can be exponentially stable depending on biological parameters.