Distributive lattices of numberings

We study into a semilattice of numberings generated by a given fixed numbering via operations of completion and taking least upper bounds. It is proved that, except for the trivial cases, this semilattice is an infinite distributive lattice every principal ideal in which is finite. The least upper and the greatest lower bounds in the semilattice are invariant under extensions in the semilattice of all numberings. Isomorphism types for the semilattices in question are in one-to-one correspondence with pairs of cardinals the first component of which is equal to the cardinality of a set of non-special elements, and the second — to the cardinality of a set of special elements, of the initial numbering. Supported by INTAS grant No. 00-429. __________ Translated from Algebra i Logika, Vol. 46, No. 1, pp. 83–102, January–February, 2007.     

Formalization of the “Twin Paradox” for Non-uniformly Accelerated Motions

The use of hyperbolic numbers for studying space-time geometry and trigonometry is extended for demonstrating the Frenet’s formulas in space-time. By means of this introduction the twin paradox for non-uniformly accelerated motions is formalized in a straightforward way.     

特殊半鞅的一个局部性质

本文讨论特殊半鞅的一个局部性质,将局部（平方可积）鞅的结果推广到了一类特殊半鞅的情形。     

二氧化锰纳米束超级电容器电极材料制备及分析

由聚苯胺捆绑二氧化锰纳米束作为超级电容器的电极材料,具有良好的赝电容特性。聚苯胺良好的导电性影响二氧化锰纳米束的电化学性能,使其阻抗变小,稳定性增强。     

孪生子佯谬

本文从一个新的角度来阐释孪生子佯谬的症结所在，详细分析了由于双胞胎兄弟所在参考系的不对称性导致的荒谬结论，并在两个惯性系下分别做了计算，最后的结论是相同的，并不存在矛盾，同时印证了所有的惯性系是平权的这一大前提!     

三维显示中基于彩色叠栅条纹的视差障栅参数设计

为确定三维显示中视差障栅(PB)的最优参数,提出一种基于彩色叠栅条纹的PB参数设计方法。液晶显示器(LCD)和PB简化为相应参数的黑白光栅模型,而具有特定参数的特定辐射光栅作为周期和倾角变化的PB模型,通过序数方程和傅里叶分析方法分析特定辐射光栅和LCD单色等效黑白光栅的叠加图样,由此推断出不同PB周期的低频主导条纹频率组项,然后利用傅里叶理论的部分和提取方法(PSE)分析不同PB周期的低频主导叠栅条纹的强度轮廓,得出PB的最佳节距和相应倾斜角度。实验结果表明,所设计的PB三维显示系统没有出现降低像质的叠栅条纹,具有较好的三维显示效果。     

一种局部相含率测量方法

在局部电导探针和单丝电容探针的基础上,提出一种新型局部电容探针,用于测量两相流的局部相含率。静态研究表明,局部电容探针能够测量空气水两相流的局部相含率,测量结果不受导电相电导率变化的影响。从工业蒸馏水变化到饱和食盐水(NaCl的质量分数0～5%),局部电容探针输出结果没有明显变化。电极距离在0～30 mm的范围内变化,测量结果变化小于1%。动态实验表明,局部电容探针测量的两相流的局部相含率,能够很好反映流动过程(以弹状流为例),和实验观察结果完全一致。只需要设置简单的阈值大小,就可以得到相含率的大小。     

(Im-)possible ISOL beams

Refractory elements, i.e. elements with very high melting point and low vapor pressure, cannot be released in atomic form from an ISOL target. Therefore most of these elements are presently not available as ISOL beams. However, when reactive gases are introduced into the target, they may form volatile compounds with the refractory elements, allowing for an easier transport to the ion source. Particularly useful are high-temperature stable fluorides and oxides. By these chemical evaporation methods so far ISOL beams of the refractory elements C, Zr, Hf and Ta have been produced. We discuss how ISOL beams of B, Ti, Nb, Mo, Tc, Ru, W, Re, Os and Ir could be produced in a similar way.     

基于同时的相对性对钟慢尺缩效应的再认识

同时的相对性、钟慢效应和尺缩效应是狭义相对论时空观的主要内容.鉴于同时性是时空测量的基础,本文从同时的相对性出发详述了对钟慢效应和尺缩效应的再认识:钟慢效应是运动时钟走时率变慢和校表问题的综合表现,其实质是同时的相对性在时间量度上的直接反映;尺缩效应的实质是同时的相对性在空间量度上的反映,也是不同观测者对同一客观事实的不同时空描述.     

Carbon Sphere@Nickel sulfide core-shell nanocomposite for high performance supercapacitor application

The Carbon sphere@Nickel sulfide core-shell nanocomposites for different mole ratios of Carbon sphere (0:1; 0.5:1 and 1:1) have been synthesized by a facile low temperature water-bath method without any further calcination. XRD studies on the core-shell nanocomposites show that characteristic peaks associated with rhombohedral phase structure of nickel sulfide have been retained. TEM morphology presents the interlinked core-shell of Carbon sphere@Nickel sulfide composite with grass-leaf dexterity for better ionic diffusion. BET study confirms the formation of mesoporous structure with high surface area. The existence of elements and its electronic configuration is noted through XPS. The electrochemical studies on pristine nickel sulfide and its Carbon sphere@Nickel sulfide core-shell composites reveal that Carbon sphere@Nickel sulfide (0.5:1) exhibits high specific capacitance of 1022?F?g^?1 at a current density of 1?A?g^?1. It shows good cyclic performance even beyond 4000 consecutive charge/discharge cycles at a relatively high current density of 20?A?g^?1 with the ～83% of retention.