Discriminant Analysis of Volatile Organic Compounds data related to a new location method of entrapped people in collapsed buildings of an earthquake

Discriminant Analysis is used as a part of a research, which aims at using expired air analysis for the early location of entrapped people under the ruins of collapsed buildings in an earthquake. This work focuses on the possibility of distinguishing Volatile Organic Compounds (VOCs) in the entrapment area which originate from different sources. Five categories of samples were analyzed by Thermal Desorption-Gas Chromatography-Mass Spectrometry (TD-GC-MS). Expired air samples from healthy humans (Category 1) and fasting people (Category 2) were analyzed for studying the VOCs attributed to entrapped people. Headspace air of urban waste disposal bins (Category 3), headspace air of bags with decaying human bodies (Category 4) and urban air samples (Category 5) were analyzed for studying the VOCs attributed to background sources. Discriminant Rotation, a specific type of Discriminant Analysis was applied on the VOCs concentration matrix of the five categories. Combinations of VOCs that best discriminated each category were determined. Cluster Analysis was used to validate the results of Discriminant Analysis. The advantages and limitations of the method are presented and discussed.     

Loop Groups and Twin Buildings

In these notes we describe some buildings related to complex Kac–Moody groups. First we describe the spherical building of SL_n() (i.e. the projective geometry PG(ⁿ)) and its Veronese representation. Next we recall the construction of the affine building associated to a discrete valuation on the rational function field (z). Then we describe the same building in terms of complex Laurent polynomials, and introduce the Veronese representation, which is an equivariant embedding of the building into an affine Kac–Moody algebra. Next, we introduce topological twin buildings. These buildings can be used for a proof which is a variant of the proof by Quillen and Mitchell, of Bott periodicity which uses only topological geometry. At the end we indicate very briefly that the whole process works also for affine real almost split Kac–Moody groups.Supported by a Heisenberg fellowship by the Deutsche Forschungsgemeinschaft.     

Partition Complexes, Tits Buildings and Symmetric Products

We construct a homological approximation to the partition complex,and identify it as the Tits building. This gives a homologicalrelationship between the symmetric group and the affine group,leads to a geometric tie between symmetric powers of spheresand the Steinberg idempotent, and allows us to use the self-dualityof the Steinberg module to study layers in the Goodwillie towerof the identity functor. 2000 Mathematics Subject Classification:55N25, 55S15, 20B30, 55P25.     

Convex rank 1 subsets of Euclidean buildings (of type A 2)

For a Euclidean building X of type A ₂, we classify the 0-dimensional subbuildings A of ∂ _T X that occur as the asymptotic boundary of closed convex subsets. In particular, we show that triviality of the holonomy of a triple (of points of A) is (essentially) sufficient. To prove this, we construct new convex subsets as the union of convex sets.      

地方建筑的保护与开发

地方建筑作为一种文化遗产,具有较高的精神和经济价值以及深远的历史意义.当前,由于人们忽视地方建筑的价值,造成地方建筑资源的衰败.对如何正确保护地方建筑这一个重要课题进行了系统的总结和论述.     

Coarse equivalences of Euclidean buildings

We prove the following rigidity results. Coarse equivalences between metrically complete Euclidean buildings preserve spherical buildings at infinity. If all irreducible factors have dimension at least two, then coarsely equivalent Euclidean buildings are isometric (up to scaling factors); if in addition none of the irreducible factors is a Euclidean cone, then the isometry is unique and has finite distance from the coarse equivalence.     

Sur les immeubles triangulaires et leurs automorphismes

Résumé  Les travaux de J. Tits ont conduit à la classification complète des immeubles euclidiens de dimension supérieure ou égale à 3. L’ensemble de ces immeubles à isomorphisme près est dénombrable et paramétré par les corps locaux qui leur correspondent. Dans cet article nous nous intéressons aux immeubles triangulaires, qui sont euclidiens de dimension 2 et pour lesquelles une paramétrisation analogue est impossible. Nous construisons une lamination Λ sur un espace topologique localement compact séparé, dont l’espace des feuilles est l’ensemble des immeubles triangulaires à isomorphisme près. On considère ainsi les immeubles triangulaires comme points d’un espace dont Λ est une désingularisation naturelle. Nous établissons des résultats de chirurgie sur les immeubles triangulaires à données locales fixées. Ils entra?nent par exemple que Λ est topologiquement transitive. Nous montrons qu’un immeuble triangulaire générique au sens de Baire a un groupe d’automorphismes trivial et qu’il contient toutes les géométries locales possibles. L’espace des immeubles triangulaires à isomorphisme près est un nouvel exemple d’espace non commutatif. Le second auteur a été en partie financé par JSPS.     

建筑风压数值模拟的几种并行化策略

针对四个处理机的Ｔｒａｎｓｐｕｔｅｒ并行计算机系统，建立了建筑风压数值模拟问题基于ＳＩＭ－ＰＬＥＣ算法的几种并行化策略：分区并行策略、方程并行策略和双重并行策略。对各种策略的计算流程、数据通讯及并行效率等进行了分析和比较，并通过实例计算作了验证。     

建筑风压场数值模拟中压力波动的平抑

在以同位网格为基础的简单流场压力计算中,通常采用动量插值方法来平抑流场中的压力波动现象;但是对于建筑风场等复杂的钝体绕流问题,由该平抑方法得到的收敛风压场仍可能存在小幅波动。为彻底解决同位网格格式下的压力波动,除采用动量插值方法外,本文提出了在压力校正方程的界面流速中添加压力梯度差值项的方法。算例分析表明,该方法计算得到的建筑风压场完全避免了压力波动现象,风压解与试验结果吻合良好。     

两个相邻建筑物周围风环境的数值模拟

高层建筑物及其群体周围所引起的风环境问题正日益受到人们的重视。本文用数值模拟方法对两幢串列布置高层建筑周围的流场进行了模拟，讨论了建筑物高度、间距比等因素对风环境特性的影响。为了与两个相邻建筑物的流场进行比较，本文同时计算了单个建筑物周围流动的分布情况。数值模拟结果对揭示高层建筑群区域内再生风载荷的形成机理提供了一定的分析方法，为城市规划和高层建筑住宅小区设计提供了一定的理论参考和依据。