Characterization of the smoothness and curvature of a marginal function for a trust-region problem

Received May 28, 1996 / Revised version received May 1, 1998 Published online October 9, 1998     

Concentration multi-échelles de courbure dans des fibres de Milnor

Résumé. Etant donné un germe de morphisme analytique complexe à fibre réduite, nous étudions la manière dont la courbure de Lipschitz-Killing de la fibre de Milnor pour la métrique induite par celle de se concentre asymptotiquement, lorsque , dans l'intersection de cette fibre avec des boules dont les centres peuvent être décrits mais surtout dont les rayons sont de la forme où les des nombres rationnels dont la collection ne dépend que de la topologie du plongement dans du germe de courbe plane réduite . Received: May 29, 1998.     

A parametric view on the Mangasarian–Fromovitz constraint qualification

The growth of the multipliers, when the parameter approaches such a critical parameter, is characterized by a parametric constraint qualification which is introduced here. It is equivalent to a bound on the growth of the multipliers. Received May 8, 1995 / Revised version received February 12, 1998 Published online February 25, 1999     

A remark on gauge symmetries in Ising spin glasses

This paper studies a particular line in the parameter space of the FK random interaction random cluster model for spin glasses following Katsura ([K]) and Mazza ([M]). We show that, after averaging over the random couplings, the occupied FK bonds have exactly a Bernoulli distribution. Comparison with explicit calculations on trees confirms the marginal role of FK percolation in determining phase transitions. Received: 1 October 1997 / Revised version: 18 May 1998     

The Linear-Array Conjecture in Communication Complexity Is False

linear array network consists of k+1 processors with links only between and (0≤i<k). It is required to compute some boolean function f(x,y) in this network, where initially x is stored at and y is stored at . Let be the (total) number of bits that must be exchanged to compute f in worst case. Clearly, , where D(f) is the standard two-party communication complexity of f. Tiwari proved that for almost all functions and conjectured that this is true for all functions. In this paper we disprove Tiwari's conjecture, by exhibiting an infinite family of functions for which is essentially at most . Our construction also leads to progress on another major problem in this area: It is easy to bound the two-party communication complexity of any function, given the least number of monochromatic rectangles in any partition of the input space. How tight are such bounds? We exhibit certain functions, for which the (two-party) communication complexity is twice as large as the best lower bound obtainable this way. Received: March 1, 1996     

The Interarrival Hyperexponential Queues:Hk/M/c/N With Balking And Reneging

This paper treats the analytical solution of the truncated interarrival hyperexponential queue. H_k/M/c/N with balking and reneging for general values of k,c and N. The discipline considered here is FIFO. Some previously published results are shown to be special cases of the present results     

微分方程解的存在区间的确定

从六个方面说明了确定一阶微分方程解的存在区间的方法.     

实时三维超声联合右心声学造影评价肺源性心脏病患者右心室收缩功能的价值

目的应用实时三维超声心动图探讨肺源性心脏病患者右心室收缩功能的价值，比较右心造影对测值的影响。方法选择肺源性心脏病代偿组、失代偿组、正常对照组各20例分别进行造影前、后实时三维超声的采集成像，计算右心室舒张末容积（RVEDV）、右心室每博输出量（RVSV）和右心室射血分数（RVEF），并根据心内膜是否清晰可辨分为心内膜边界清晰者、心内膜边界欠清晰者，比较两者三维超声参数的组间差异。结果代偿组、失代偿组RVEDV较对照组均明显增加，RVEF值减低（均P＜0.01），代偿组与对照组RVSV差异无统计学意义（P＞0.05），但失代偿组RVSV与代偿组、对照组差异有统计学意义（P＜0.05）；失代偿组RVEDV较代偿组明显增大，RVEF明显减低（均P＜0.01）。心内膜边界欠清晰者造影后较造影前RVEDV、RVEF差异均有统计学意义（均P＜0.05）。结论实时三维超声能够客观地反映肺源性心脏病代偿期与失代偿期右心室收缩功能的变化，右心声学造影改善了心内膜边界的可识别性，提高了右心室收缩功能测值的可靠性。     

抗肿瘤缺氧诱导因子-1的小分子抑制剂

肿瘤的缺氧微环境与其增殖、分化、血管生成、能量代谢、耐药性的发生以及患者预后状况密切相关。缺氧诱导因子1(Hypoxia-inducible factor 1, HIF-1)是细胞适应缺氧环境的重要转录因子和调控蛋白,通过调控下游靶基因如EPO、VEGF、GLUT等的表达,促进血管新生及有氧糖酵解以适应缺氧的环境,进而影响肿瘤细胞代谢、血管生成和肿瘤转移等。因此,开发以HIF-1为靶标的小分子抑制剂药物有望成为一种有效的肿瘤治疗方法。本文就HIF-1小分子抑制剂在肿瘤学研究中的进展进行综述,旨在为靶向HIF-1抗肿瘤药物的研发提供新思路。     

Smoothing properties of transition semigroups in hilbert spaces

The paper gives conditions under which the transition semigroup corresponding to a large class of semilinear equations on a Hilbert space transforms Borel functions onto Frechet differentia hies ones.