Counting the number of indecomposable representations and a q-analogue of the Weyl-Kac denominator identity of type _n

By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and then,as an application,give a q-analogue of the Weyl-Kac denominator identity of type _n.     

EDGEWORTH EXPANSION FOR NEAREST NEIGHBOR- KERNEL ESTIMATE AND RANDOM WEIGHTING APPROXIMATION OF CONDITIONAL DENSITY

§ 1　 IntroductionThere are many discussions on the estimate of density,for example,the kernel andnearest neighbor estimates.Reference [1 ] gave the nearest neighbor-kernel estimate ofconditional density.[2 ] discussed the properties on the nearest neighbor-kernel estimateand bootstrap approximation of conditional density.[3 ] studied some asymptotical proper-ties on kernel estimate and random weighting approximation of density.In this paper,wewill discuss the properties of the nearest neighb…     

电阻环法模拟测量电子束流的大小和位置

本文介绍了通过测量束流在输运管壁上形成的感应电流，来确定直线感应加速器束流大小、位置的一种方法。实验证明，这种测量方法不会影响电子束在管道中的传输，且测量精度高，装置简单，并可装在真空系统的外面，便于维修。     

季铵型阳离子蔗渣纤维素对甘蔗清汁的澄清研究

利用新型的季铵型阳离子蔗渣纤维素作为澄清剂,对甘蔗清汁进行吸附脱色研究.本实验在单因素试验结果的基础上,分别选取纯度提高率和色值降低率作为考查指标,利用SPSS软件进行正交试验的设计和数据分析.通过最佳工艺参数的优化试验,得出如下结论:反应温度为80℃、蔗汁中阳离子蔗渣纤维素复合物的加入量为0.4g/100mL甘蔗清汁、接触时间为40min、pH值8.     

SOME LIMINF RESULTS ON INCREMENTS OF THE PRIMITIVES OF BROWNIAN MOTION

§ 1　Introduction and ResultsLet{W(t) ;t≥ 0 }be a standard Brownian motion.For a positive integer m,define aGaussian processXm(t) =1m!∫t0 (t-s) md W(s) ,(1 .1 )which was firstmentioned by[1 ] .This class of processes arises in several domains of ap-plied mathematics.For instance,the process X1 (· ) ,which has been studied at length,isthe solution of the Langevin's equation under certain physical conditions.Wahba[2 ,3] usedXm(· ) to derive a correspondence between smoothing by splines …     

邻硝基苯基荧光酮-Tween 80双波长分光光度法测定微量铝

本文研究了在非离子表面活性剂Tween 80存在下Al(Ⅲ)与O-NPF显色反应的条件,在pH9.0～11.0的HBO_3-Na_2CO_3缓冲溶液中可形成稳定的紫色络合物,最大吸收波长为564nm,铝量在0～5μg/25ml范围符合比尔定律,采用双波长法摩尔吸光系数高达1.81×10~5。本法具有简便、快速、灵敏度高、准确性好等优点。     

用毛细管色谱柱分离有机磷农药

本文介绍了用SE-30毛细管柱、高速率程序升温分离13种有机磷农药。其分离效果较好,分析速度较快,有良好的线性关系和重复性。     

摄像CCD

本文对用作成象传感器的电荷耦合器件(CCD)首先进行了一般性技术介绍。概括了大量的最新文献,涉及到许多物理学特性和电路技术。同时较全面地介绍了主要厂家的产品。对于CCD图象传感器的目前的应用和潜在应用也作了叙述。     

空腔靶能量吸收,转换特性实验研究

本文介绍空腔靶设计的物理思想、及能量吸收特性、X光转换特性和堵腔特性的实验研究方法,给出了实验观察到的一系列物理现象,通过对现象的分析而得出空腔靶的能量吸收和X光转换明显优于平面靶;利用相对孔径较大的聚焦透镜打空腔靶有利于改善靶的能量吸收和转换特性的结论。     

Editorial for Special Issue on Frontiers in Optical Bioimaging

<正>Optical bioimaging has become a very important tool in life science because it is noninvasive, of high specificity, capable of performing multi-parameter measurement,