Unit Distances and Diameters in Euclidean Spaces

We show that the maximum number of unit distances or of diameters in a set of n points in d-dimensional Euclidean space is attained only by specific types of Lenz constructions, for all d≥4 and n sufficiently large depending on d. As a corollary, we determine the exact maximum number of unit distances for all even d≥6 and the exact maximum number of diameters for all d≥4 and all n sufficiently large depending on d. This material is based upon work supported by the South African National Research Foundation.     

The electronic transport properties of defected bilayer sliding armchair graphene nanoribbons

By applying non-equilibrium Green's functions (NEGF) in combination with tight-binding (TB) model, we investigate and compare the electronic transport properties of perfect and defected bilayer armchair graphene nanoribbons (BAGNRs) under finite bias. Two typical defects which are placed in the middle of top layer (i.e. single vacancy (SV) and stone wale (SW) defects) are examined. The results reveal that in both perfect and defected bilayers, the maximum current refers to β-AB, AA and α-AB stacking orders, respectively, since the intermolecular interactions are stronger in them. Moreover it is observed that a SV decreases the current in all stacking orders, but the effects of a SW defect is nearly unpredictable. Besides, we introduced a sequential switching behavior and the effects of defects on the switching performance is studied as well. We found that a SW defect can significantly improve the switching behavior of a bilayer system. Transmission spectrum, band structure, molecular energy spectrum and molecular projected self-consistent Hamiltonian (MPSH) are analyzed subsequently to understand the electronic transport properties of these bilayer devices which can be used in developing nano-scale bilayer systems.     

重庆地区露天石刻早期封护材料老化产物及其影响研究

重庆市市委会办公大楼旧址前有一组露天存放的清代砂岩石狮子,表面覆盖着黑色硬壳状物质, 发生大面积脱落,起翘和卷曲。为了揭示黑色硬壳状结构组成,研究其形成过程及对文物产生的影响,利用环境扫描电子显微镜(SEM),X-射线衍射仪(XRD),X-射线荧光光谱仪(XRF),傅里叶变换红外光谱仪(FTIR)和X-射线光电子能谱(XPS)对黑色硬壳及文物表层砂岩样品进行了检测分析研究。结果发现：黑色硬壳断面Mapping元素分布图显示其分为底漆层,中间层和表层,系石刻早期封护层的老化产物;中间层含有立德粉(硫化锌和硫酸钡),黑色外观源于表层中含铅颜料(铅白)变色形成黑色硫化铅及树脂碳化所致;红外光谱与光电子能谱显示出黑色硬壳中含有强的羟基(-OH)特征峰,说明封护层中有机物老化后形成了大量羟基,从而增强了自身亲水性,造成易吸水溶胀与干燥收缩情况,导致大面积脱落,起翘和卷曲现象;黑色硬壳起翘和卷曲部位与下层石刻表面之间形成了易于积水的微空隙,能够聚集雨水中的有害物质,造成石刻表层岩石发生腐蚀,例如黑色硬壳背面及下层岩石表面中高含量硬石膏(CaSO₄),经生水化作用后转化为石膏(CaSO₄·2H₂O),发生体积膨胀造成岩石表面松动和酥粉。因此,当露天文物表面上封护层已老化时,及时地进行清除是十分必要的。     

拉曼光谱对新石器时期白石斧的研究

本文采用显微拉曼光谱技术 ,对云南省永仁县菜园子出土的新石器时期白石斧的表面和截面进行了测试研究 ,结合矿物拉曼谱确定了石斧白色和黑色物质的成分。通过对白石斧截面拉曼谱的分析 ,得出了石斧拉曼主峰 (46 2cm- 1 )的强度随深度变化情况的散点图 ,实验结果发现 ,石斧表面的腐蚀层厚约为 40 0 μm。石斧截面拉曼谱给出了与石斧埋葬年代和周围环境有关的信息     

S半环与Stone定理的推广

本文首次提出S半环概念并推广了著名的Stone定理.     

新石器时期石斧拉曼光谱原位无损研究

本文采用显微拉曼光谱技术对云南省永仁县菜园子两件新石器时期古石斧的表面和截面进行测试分析 ,结合矿物拉曼谱 ,初步确定了其成分。分析表明 ,拉曼谱还给出了石斧埋葬的年代和周围环境变化的信息 ,其具体细节还有待于进一步探讨。     

Strengthening buildings of stone masonry to resist earthquakes

Stone masonry buildings are common in many areas in the Alpine-Himalayan earthquake zone, and their failure in recent earthquakes has been the cause of many deaths. Poverty and lack of alternatives prevent the replacement of stone masonry with more ductile materials, but the brittleness of unreinforced stone masonry can be considerably reduced by the incorporation of horizontal lacings of timber or reinforced mortar.As part of a joint research project with the Turkish Earthquake Research Institute in Ankara to study low-cost upgrading strategies for rural earthquake protection, full-scale wall elements were subjected to static lateral loading test and dynamic tests on an impulse table. A simple yield-line analysis based on wall overturning was shown to be able to give a useful prediction of the mode of failure and failure load in the static test, and give guidance on the relative performance of unreinforced and reinforced walls in the dynamic test. The results of these tests were used to assess the cost-effectiveness of a large-scale programme of upgrading rural buildings in eastern Turkey.

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Sommario Gli edifici in muratura di pietra sono molto diffusi in ampie zone della regione sismica alpino-himalayana ed il loro crollo ha provocato la perdita di numerose vite umane durante gli ultimi eventi sismici. Spessola poverta' e la mancanza di alternative impediscono la sostituzione della muratura di pietra con materiali piu' duttili: ciononostante il comportamento di tale materiale puo' essere sostanzialmente migliorato incorporando cuciture orizzontali di legno od introducendo elementi metallici nei ricorsi di malta. II progetto di ricerca che si va sviluppando congiuntamente con l'Istituto Turco di Ricerca sui Terremoti di Ankara si propone di individuare una serie di provvedimenti di basso costo per migliorare la qualita' antisimica dell' edilizia rurale. In tale schema sono stati condotti una serie di esperimenti su pannelli murari in scala reale soggetti a carichi statici laterali ed a prove dinamiche su tavola vibrante. Una semplice analisi a rottura basata sul ribaltamento dell'elemento murario si e'dimostrata in grado di fornire accurate previsioni sui meccanismi e sui carichi di rottura nelle prove statiche, e dare utili indicazioni sul comportamento di pannelli semplici e rinforzati sottoposti a prove dinamiche.I risultati di tali prove sono stati utilizzati per una analisi cost-benefici per la definizone di un programma su larga scalla del miglioramento del comportamento sismico di edifici rurali nella Turchia Orientale.

     

Pettis integrability of Stone transforms

Letf be a bounded Pettis integrable function ranging in a Banach spaceX (the range of the indefinite Pettis integral is separable). We consider Pettis integrability conditions for the Stone transform off and relate this problem to the regular oscillation condition for the family of functions {x ^* fx^*B(X^*)}, whereB(X^*) is the unit ball inX ^*.Translated fromMatematicheskie Zametki, Vol. 60, No. 2, pp. 238–253, August, 1996.     

Analysis of bulk and inorganic degradation products of stones,mortars and wall paintings by portable Raman microprobe spectroscopy

This work reports the use of a portable Raman microprobe spectrometer for the analysis of bulk and decaying compounds in carbonaceous materials such as stones, mortars and wall paintings. The analysed stones include limestone, dolomite and carbonaceous sandstone, gypsum and calcium oxalate, both mono- and dihydrated, being the main inorganic degradation products detected. Mortars include bulk phases with pure gypsum, calcite and mixtures of both or with sand, soluble salts being the most important degradation products. The pigments detected in several wall paintings include Prussian blue, iron oxide red, iron oxide yellow, vermilion, carbon black and lead white. Three different decaying processes have been characterised in the mortars of the wall paintings: (a) a massive absorption of nitrates that reacted with calcium carbonate and promoted the unbinding of pigment grains, (b) the formation of black crusts in the vault of the presbytery and (c) the thermodecomposition of pigments due to a fire.