关于Finsler子流形的平均曲率

通过使用由射影球丛诱导的体积元来研究Finsler子流形几何,推导了体积泛函的第一变分公式。给出了Finsler子流形的平均曲率形式和第二基本形式的定义,该定义在Riemannian情形下与通常的概念一致．此外,通过推导射影球丛纤维上的散度公式。给出了平均曲率形式的一种非常简洁的等价表示,并得到一些关于Minkowski空间中Finsler子流形的有趣的结果．     

‘Classical’ convergence theorems for generalized continued fractions

In this paper the classical convergence theorems by Śleszyński-Pringsheim, Worpitzky and Van Vleck for ordinary continued fractions will be generalized to continued fractions generalizations (along the lines of the Jacobi–Perron algorithm) with four-term recurrence relations.      

Proof of the Volume Conjecture for Whitehead Doubles of a Family of Torus Knots

A technique to compute the colored Jones polynomials of satellite knots,illus- trated by the Whitehead doubles of knots,is presented.Then the author proves the volume conjecture for Whitehead doubles of a family of torus knots and shows some interesting observations.     

Quality test of a mechanical switching valve for two-dimensional open tubular gas chromatography

A commercially available mechanical micro switching valve has been tested for inertness. The test mixtures used were a modified Grob test and a solution consisting of eight typical aroma compounds, both at the 2-ng level. Cryogenic focusing of the sample after chromatography including one passage through the valve revealed that irreversible interaction of some test substances with valve components was rather small. A composite main peak of a chromatogram from a fruit juice aroma exhibiting a “mixed odor” was selectively transferred (heart-cutting) to a second column and resolved into three peaks. GC-GC/sniffing assigned a minor peak to a substance formerly hidden under the composite peak. Separate heating of the valve during temperature programming of the column was found to be unnecessary.     

3‐Designs of PSL(2, 2n) With block sizes 4 and 5

We determine the distribution of 3‐designs among the orbits of 4‐ and 5‐element subsets under the action of PSL(2,2ⁿ) on the projective line. Thus we give complete information on all Kramer–Mesner matrices for the action of PSL(2,2ⁿ) on 3‐sets versus 4‐ and 5‐sets. As a consequence, all 3‐designs with block sizes 4 and 5 and automorphism group PSL(2,2ⁿ) can immediately be obtained. © 2003 Wiley Periodicals, Inc.     

哈密煤温和液化固体产物的理化性质及热解特性

为了合理利用哈密煤温和液化固体产物(MLS),对MLS的理化性质进行了考察,并利用热重分析技术研究了MLS及其萃取组分的热解特性和各萃取组分在热解过程中的相互作用。结果表明,相比于神华煤直接液化残渣,MLS中重质油含量较高(HS,36%),沥青烯(A,13%)、前沥青烯(PA,9%)含量较低。GC-MS结果表明,HS中烷烃含量较高(41.8%)。红外结果表明,HS中含较多烷烃侧链和取代官能团,A、PA次之,而四氢呋喃不溶物(THFIS)中基本不存在,表明其芳香性较高。MLS中的矿物质主要有液化过程生成的CaCO_3、原煤中的惰性组分SiO_2、NaCl、Al_2O_3·2SiO_2·2H_2O和残留的催化剂转化产物Fe_(1-x)S。热重结果表明,MLS起始热解温度和最大失重峰温均偏低,950℃失重率较高(54%),说明其热解活性较高。MLS各萃取组分在热解过程中存在正负两种相互作用,且与MLS中HS含量有关:当HS含量较高时,HS为MLS热解过程提供小分子自由基以促进挥发分逸出;当脱除部分HS或将HS全部脱除后,MLS各萃取组分中大分子自由基之间相互结合而抑制挥发分逸出。     

Use of capillary electrophoresis to monitor wheat maturation

Summary The maturation of wheat varieties with different harvest times has been examined by high-performance capillary electrophoresis. The unique proteins of the albumin, gliadin and glutenin fractions of Hungarian winter wheat cultivars Bánkúti 1201 (early harvest time), Martonvásári 23 (medium harvest time), and Martonvásári 15 (semi-late harvest time) were analysed. An acidic phosphate buffer containing a polymeric additive and organic modifiers was used in capillary zone electrophoresis mode. Formation of albumin followed the same time scale, and the patterns were quite similar, for all three cultivars. For gliadins and glutenins the time scale and patterns were different and some correlation was observed between harvest time and gliadin formation. Presented at Balaton Symposium '01 on High-Performance Separation Methods, Siófok, Hungary, September 2–4, 2001     

L-苏氨酸在糖及维生素C水溶液中的体积性质

用精密数字密度计和粘度计测定了L-苏氨酸在不同质量分数的葡萄糖、蔗糖及维生素C水溶液中的密度和粘度，计算了L-苏氨酸的极限偏摩尔体积、迁移偏摩尔体积、理论水化数和粘度B系数，讨论了溶剂组成变化对L-苏氨酸迁移偏摩尔体积、粘度B系数和理论水化数的影响.结果表明，随混合溶剂中共溶质含量的增加，迁移偏摩尔体积、粘度B系数随之增加；而由于葡萄糖、蔗糖及维生素C分子与L-苏氨酸荷电中心的直接相互作用，削弱了两性离子带电中心对周围水分子的电致收缩效应，造成了理论水化数随其含量的增加而减小.     

Molecular characteristics of poly(propylene imine) dendrimers as studied with translational diffusion and viscometry

 The generation of dendrimers based on poly(propylene imine) with CN end groups [DAB–dend–(CN) _x ] and with palmitoyl end groups [DAB–dend–(C15) _x ] was studied by methods of translational diffusion and viscometry. The volumes of the DAB–dend–(CN) _x and DAB–dend–(C15) _x dendrimers and the previously studied DAB–dend–(lacto) _x dendrimer were compared to evaluate the volumes of the end groups in hybrid dendrimers. The volume of the hybrid dendrimers compared to that of the initial dendrimers increases proportionally to the number of end groups: this means that the end groups are predominantly located on the periphery of each molecule, thus ensuring this volume will increase. It is shown that the volume of the end groups for DAB–dend–(C15) _x is 3.5 times greater, and for DAB–dend–(lacto) _x it is 5.0 times greater than that occupied by free mole- cules corresponding to the end groups. The values of the intrinsic viscosity were compared with the values of the diffusion coefficient and the chemical formula molecular weight. Received: 7 August 2001 Accepted: 2 November 2001     

Holes in the probability density of strongly colored noise driven systems

A qualitative change in the topology of the joint probability densityP(,x), which occurs for strongly colored noise in multistable systems, has recently been observed first by analog simulation (F. Moss and F. Marchesoni,Phys. Lett. A 131:322 (1988)) and confirmed by matrix continued fraction methods (Th. Leiber and H. Riskin, unpublished), and by analytic theory (P. Hänggi, P. Jung, and F. Marchesoni,J. Stat. Phys., this issue). Systems studied were of the classx=–U(x)/x+(t,), whereU(x) is a multistable potential and (t, ) is a colored, Gaussian noise of intensityD, for which =0, and (t) (s)=(D/)exp(–t–s/). When the noise correlation time is smaller than some critical value ₀, which depends onD, the two-dimensional densityP(,x) has the usual topology [P. Jung and H. Risken,Z. Phys. B 61:367 (1985); F. Moss and P. V. E. McClintock,Z. Phys. B 61:381 (1985)]: a pair of local maxima ofP(,x), which correspond to a pair of adjacent local minima ofU(x), are connected by a single saddle point which lies on thex axis. When >₀, however,the single saddle disappears and is replaced by a pair of off-axis saddles. A depression, or hole, which is bounded by the saddles and the local maxima thus appears. The most probable trajectory connecting the two potential wells therefore does not pass through the origin for >₀, but instead must detour around the local barrier. This observation implies that successful mean-first-passage-time theories of strongly colored noise driven systems must necessarily be two dimensional (Hänggiet al.). We have observed these holes for several potentialsU(x): (1)a soft, bistable potential by analog simulation (Moss and Marchesoni); (2) a periodic potential [Th. Leiber, F. Marchesoni, and H. Risken,Phys. Rev. Lett. 59:1381 (1987)] by matrix continued fractions; (3) the usual hard, bistable potential,U(x)=–ax ²/2+bx ⁴/4, by analog simulations only; and (4) a random potential for which the forcingf(x)=–U(x)/x is an approximate Gaussian with nonzero correlation length, i.e., colored spatiotemporal noise, by analog simulation. There is a critical curve ₀(D) in the versusD plane which divides the two topological behaviors. For a fixed value ofD, this curve is shifted toward larger values of ₀ for progressively weaker barriers between the wells. Therefore, strong barriers favor the observation of this topological transformation at smaller values of . Recently, an analytic expression for the critical curve, valid asymptotically in the small-D limit, has been obtained (Hänggiet al.).This paper will appear in a forthcoming issue of theJournal of Statistical Physics.