一类4阶Feigenbaum映射的拟极限集

讨论一类4阶Feigenbaum映射的拟极限集及其Hausdorff维数, 并证明对任意t∈(0,log_3^1/2+12), 总存在一类具有简单轨 的4阶非单谷Feigenbaum映射， 它有一个以t为Hausdorff维数的拟极限集.     

再论从物理角度分析跳远成绩

建立2个坐标系，从力学原理分析起跳时的角度、初速度与跳远成绩的关系，同时与郑亚晨的文章的理论分析进行商榷。     

WEIERSTRASS REPRESENTATION FORSURFACES WITH PRESCRIBED NORMALGAUSS MAP AND GAUSS CURVATURE IN H~3

The author obtains a Weierstrass representation for surfaces with prescribed normal Gauss map and Gauss curvature in H3. A differential equation about the hyperbolic Gauss map is also obtained, which characterizes the relation among the hyperbolic Gauss map, the normal Gauss map and Gauss curvature. The author discusses the harmonicity of the normal Gauss map and the hyperbolic Gauss map from surface with constant Gauss curvature in H3 to S2 with certain altered conformal metric. Finally, the author considers the surface whose normal Gauss map is conformal and derives a completely nonlinear differential equation of second order which graph must satisfy.     

Complex projections of completely positive quaternionic maps

We show that the complex projection of a completely positive quaternionic map of quaternionic density matrices is a positive map in the space of complex density matrices, and we briefly outline some of its properties. To illustrate this result, we study the complex projection of a one-parameter quaternionic unitary dynamics of a spin-1/2 quantum system. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 360–370, June, 2007.     

Division and <Emphasis Type="Italic">k</Emphasis>-th root theorems for <Emphasis Type="Italic">Q</Emphasis>-manifolds

We prove that a locally compact ANR-space X is a Q-manifold if and only if it has the Disjoint Disk Property (DDP), all points of X are homological Z _∞-points and X has the countable-dimensional approximation property (cd-AP), which means that each map f: K → X of a compact polyhedron can be approximated by a map with the countable-dimensional image. As an application we prove that a space X with DDP and cd-AP is a Q-manifold if some finite power of X is a Q-manifold. If some finite power of a space X with cd-AP is a Q-manifold, then X ² and X × [0, 1] are Q-manifolds as well. We construct a countable family χ of spaces with DDP and cd-AP such that no space X ∈ χ is homeomorphic to the Hilbert cube Q whereas the product X × Y of any different spaces X, Y ∈ χ is homeomorphic to Q. We also show that no uncountable family χ with such properties exists. This work was supported by the Slovenian-Ukrainian (Grant No. SLO-UKR 04-06/07)     

井下导线网陀螺经纬仪定向检测与误差分析

介绍用陀螺定向检测井下导线网测理精度的一个实例，较详细地叙述了应用中考虑的问题和成果的分析。它对应用陀螺定向这一新技术有开拓性的意义     

Φ12LMQ型钢筋冷拉机原理及主要参数选择

介绍了一种新型钢筋冷拉机的工作原理和主要参数：变形速度Ｖ△Ｌ、单位时间伸长率ε、送进速度Ｖ２、冷拉速度Ｖ１及其之间的关系．这种冷拉机具有生产率高、冷拉质量稳定等特点．     

Molecular Orbital Calculations on 2, 4, 6-Trinitrotoluene

Three ab initio calculations (HF/6-3IG, HF/6-3IG*, and HF/6-3IG**) on 2,4,6-trinitrotoluene were made, The results compare well with xray data, except dihedral angles of NO₂ relative to the plane of the benzene ring. The deviations are attributed to packing forces and steric effects in the crystal. The most stable structure was a torsional angle 10° of the methyl top with the benzene ring, unlike toluene. The rotational barriers of the methyl top and the 4-nitro group are small. Hydrogen bonding, dipole moments and total atomic charges arc calculated.     

RSCRR空间5杆变角机构的结构和几种位置分析方法

本文对有名的 RSCRR 空间5杆变角机构进行了结构分析,进而用4种不同的方法对其进行位置分析,得出了相同的结论,证明了机构输出角δ与输入角α的关系是δ:arcsin[ctgλtg(arcctg((a/e)+cisa)/(sina))],并用实例证明了结论的正确。     

掷铁饼时转轴的形成与角动量关系浅折

掷铁饼的旋转动作是角运动（运动员绕纵轴或接近纵向的轴旋转）与水平运动（重心在投掷圈内向前移动）的结合。本文主要阐述：怎样利用人体旋转时转轴的变化，形成合理的旋转投掷半径，取得最大限度的旋转角度，从而使整个投掷过程获得理想的角动量。