Two long-standing problems in Tsallis’ statistics

On the basis of Tsallis’ entropy and the joint probability factorization condition, two controversial problems existing in Tsallis’ statistics are investigated, where one is whether energy is extensive or not and the other is whether it is necessary to introduce the so-called generalized zeroth law of thermodynamics or not. The results obtained show clearly that like entropy, energy is also nonextensive in Tsallis’ statistics, and that the zeroth law of thermodynamics has been implicitly used in Tsallis’ statistics since 1988. Moreover, it is expounded that the standard energy additivity rule adopted by a great number of researchers is not suitable in Tsallis’ statistics, because its corollary is in contradiction with the zeroth law of thermodynamics.     

概率型算子在Lp空间的渐近性质

In 1985, Khan, R. A. established the asymptotic formulas of operators of probabilistic type inL1, space by introducing a newLp-norm. The purpose of this paper is to study the asymptotic rate of these operators, inLp (p>1) spaces. Project supported by the National Natural Science Foundation of China     

A DIRECT METHOD FOR THE UNIT CIRCLE PROBLEM

The unit circle problem is the problem of finding the number of eigenvalues of a non-Hermitian matrix inside and outside the unit circle . To reduce the cost of computing eigenvalues for the problem, a direct method, which is analogous to that given in [5], is proposed in this paper.     

具有新光学性质的Zn-Zn2SiO4纳米同轴线阵列

采用气相沉积技术在Si衬底上生长了Zn-Zn₂SiO₄芯-壳结构纳米同轴线阵列。根部呈笋状的纳米同轴线,直径约100nm,长度可以超过10μm;同轴线芯直径约50nm、壳层厚约25nm。通过X射线衍射的表征以及能量色散谱的线扫描,确定纳米同轴线的芯为Zn,壳层为Zn₂SiO₄。我们提出了一种新的生长机制,同时也为生长均匀的纳米同轴线提供一种新的技术。观察阴极荧光谱发现,纳米同轴线有三个主要发光带:强度最大的中紫外300nm发光、较弱的可见光区560nm以及红外谱区865nm的发光。对纳米同轴线截面的300nm发光峰观测发现,中紫外发光来源于Zn₂SiO₄壳层。正是这种同轴线的结构,使得其具备特殊的光学性质。     

Rapid determination of vitellogenin in fish plasma by anion exchange high performance liquid chromatography using postcolumn fluorescence derivatization with o-phthalaldehyde.

An analytical method involving anion exchange high performance liquid chromatographic determination of vitellogenin (Vtg) in fish plasma after postcolumn fluorescence derivatization with o-phthalaldehyde (OPA) was developed. The retention time of Vtg was about 11 min. The reagent variables for derivatization were optimized. The fluorophore was excited at 335 nm and detected at 435 nm. A calibration curve was established ranging from 0.13 to 11.28 microg. The determination limit of Vtg was found to be as low as 0.13 microg. The spiked recovery was 93.6% and interassay variability was less than 4%. The method developed was used to determine Vtg in fish plasma obtained from red sea bream (Pagrosomus major), black porgy (Sparus macrocephalus) and skew band grunt (Hapalogenys nitens), without complicated sample pretreatment. The results confirmed that the method showed advantages of being simple, rapid, reproducible and sensitive.     

对流扩散方程带罚函数项的有限体积格式及其分析

1引言 有限体积方法[l]一l’]作为守恒型的离散技术，被广泛应用于工程计算领域.文【2，3} 基于分片常数和分片常向量函数空间，对二维驻定对流扩散方程提出了一类非协调混合 有限体积(Covolume)格式，证明了格式具有。(hl/2)收敛精度.但该格式要求对偶剖分 比较规则，即采用重     

1-氨基环丙烷-1-羧酸的合成: 新型植物生长调节剂

本文报道了合成1-氨基环丙烷-1-羧酸的简便而价廉的方法,即乙酰乙酸乙酯法和α-氰乙酸乙酯法;并测定了产品的结构。     

光学活性配合物的合成、拆分和性能研究——Ⅲ.fac-、mer-〔Co(β-ala)3〕的手性固定相拆分和其对映体的异构化外消旋反应机理

本文用QAE-Sephadex-Sb_2(d-tart)_2~(2-)为手性交换固定相,50％乙醇水溶液为淋洗剂,在柱尺寸为80cm×2.2cm,淋洗速度为5.0ml/20min下完全拆分了1.0g fac-[Co(β-ala)_3];用同一手性固定相和淋洗剂在淋洗速度为1.2ml/20min下mer-[Co(β-ala)_3]的拆分量可增至0.78g。 fac-、mer-[Co(β-ala)_3]的四种对映体在1.56×10~(-2)M HClO_4介质和中性水溶液中的异构化外消旋反应的产物用Na~+型SP-Sephadex C-25柱分离后,用分光光度法和旋光仪测定了它们的浓度和旋光度。实验结果表明,这些对映体的异构化外消旋反应比较可能是按Werner首先提出的断键-分子内重排的机理进行。机理研究正在深入进行。     

(甲基)丙烯酸酯的基团转移聚合

<正> 基团转移聚合方法自问世以来,由于其突出的优点,受到日益广泛的重视。本文来用丙二酸二乙酯的硅烯醇醚类引发剂3-乙氧基-3-三甲基硅氧基丙烯酸乙酯 (CH_3CH_2O_2CCH=C(OCH_2CH_3)OSiMe_3)和亲核型催化剂四乙基二氯化氢氨((CH_3CH_2)_4NHF_2)进行甲基丙烯酸甲酯(MMA)、丙烯酸丁酯(BA)、丙烯酸乙酯(EA)和丙烯酸甲酯(MA)的基因转移聚合。得到了近