1‐Factor and Cycle Covers of Cubic Graphs

Let G be a bridgeless cubic graph. Consider a list of k 1‐factors of G. Let be the set of edges contained in precisely i members of the k 1‐factors. Let be the smallest over all lists of k 1‐factors of G. Any list of three 1‐factors induces a core of a cubic graph. We use results on the structure of cores to prove sufficient conditions for Berge‐covers and for the existence of three 1‐factors with empty intersection. Furthermore, if , then is an upper bound for the girth of G. We also prove some new upper bounds for the length of shortest cycle covers of bridgeless cubic graphs. Cubic graphs with have a 4‐cycle cover of length and a 5‐cycle double cover. These graphs also satisfy two conjectures of Zhang 18 . We also give a negative answer to a problem stated in 18 .     

应用Hermit插值方法修正Dome-A自动气象站记录的雪层温度

随着冰盖表面雪的积累或消融,自动气象站(AWS)上所携带的传感器相对于地表的高度/深度不断变化,给观测数据带来误差.本文利用分段三次Hermit插值的方法对Dome A地区的AWS历史雪层温度数据进行修正.结果表明,雪层的修正量随着雪的积累率的增加而增大,在夏半年为正,在冬半年为负.该方法对于浅层雪温的修正有较好的效果.     

立方混沌系统的多种目标控制

运用系统变量的状态反馈与参数调整的混合控制策略,对立方混沌系统实施多种目标的混沌控制.理论研究和数值仿真表明:控制方法能实现离散混沌系统的倍周期分岔控制,通过延迟和抑制分岔,确保在较宽的参数范围内达到规则行为;能稳定嵌套在混沌吸引子中的不稳定周期轨道;实现变轨控制,即通过选择合适的调整参数,将系统从一个2n周期轨道控制...     

基于GIS的线路土石方工程量的快速计算方法

基于GIS道路选线设计系统,提出一种线路中、边桩坐标的快速计算方法移动圆心坐标法.采用最小二乘法将地面线拟合成双向横坡来计算各断面的填挖方面积,提高计算速度的同时,有效保证了计算精度.     

关于立方幂补数k次均值的注记

设S(n)是正整数n的立方幂补数.用初等方法探讨了S(n)的k次均值的渐近性质,给出了两个更为精确的渐近公式,补充了有关文献的结论.     

Non-Abelian gauge potentials driven localization transition in quasiperiodic optical lattices

Derived from quantum waves immersed in an Abelian gauge potential, the quasiperiodic Aubry-André-Harper (AAH) model is a simple yet powerful Hamiltonian to study the Anderson localization of ultracold atoms. Here, we investigate the localization properties of ultracold atoms in quasiperiodic optical lattices subject to a non-Abelian gauge potential, which are depicted by non-Abelian AAH models. We identify that the non-Abelian AAH models can bear the self-duality. We analyze the localization of such non-Abelian self-dual optical lattices, revealing a rich phase diagram driven by the non-Abelian gauge potential involved: a transition from a pure delocalization phase, then to coexistence phases, and finally to a pure localization phase. This is in stark contrast to the Abelian counterpart that does not support the coexistence phases. Our results establish the connection between localization and gauge symmetry, and thus comprise a new insight on the fundamental aspects of localization in quasiperiodic systems, from the perspective of non-Abelian gauge potential.     

Proton Conduction at High Temperature in High-Symmetry Hydrogen-Bonded Molecular Crystals of RuIII Complexes with Six Imidazole-Imidazolate Ligands

A new H-bonded crystal [Ru^III(Him)₃(Im)₃] with three imidazole (Him) and three imidazolate (Im⁻) groups was prepared to obtain a higher-temperature proton conductor than a Nafion membrane with water driving. The crystal is constructed by complementary N−H⋅⋅⋅N H-bonds between the Ru^III complexes and has a rare Icy-c* cubic network topology with a twofold interpenetration without crystal anisotropy. The crystals show a proton conductivity of 3.08×10⁻⁵ S cm⁻¹ at 450 K and a faster conductivity than those formed by only HIms. The high proton conductivity is attributed to not only molecular rotations and hopping motions of HIm frameworks that are activated at ∼113 K, but also isotropic whole-molecule rotation of [Ru^III(Him)₃(Im)₃] at temperatures greater than 420 K. The latter rotation was confirmed by solid-state ²H NMR spectroscopy; probable proton conduction routes were predicted and theoretically considered.     

二氧化钛含量对铈稳定立方氧化锆陶瓷的性能影响

本文用无压烧结法成功制备了高硬度的立方氧化锆陶瓷,研究了氧化锆陶瓷的物相,Vickers硬度,显微结构,相对密度等性能,主要分析了TiO2添加量对Zr0.8Ce0.2O2陶瓷硬度和相对密度的影响。结果表明:烧结助剂TiO2可以有效抑制陶瓷晶粒异常生长,加快气孔排除,促进氧化锆陶瓷烧结致密化,提高陶瓷硬度。最高维氏硬度为20.2 GPa,最高相对密度达到了99.8%。     

Mutual solubilities of hydrocarbons and water with the CPA EoS

The knowledge of hydrocarbon/water phase equilibria is important in the design and operation of equipment for petroleum transport and refining and petrochemical plants. The presence of water in a hydrocarbon mixture can affect the product quality and damage the operation equipment due to corrosion and formation of gas hydrates. Tracing the concentration of hydrocarbons in aqueous media is also important for technical purposes like preventing oil spills and for ecological concerns such as predicting the fate of these organic pollutants in the environment.     

聚晶立方氮化硼刀具切削高锰钢的磨损机制

在半精加工试验条件(切削深度ap=0．5mm，进给量f=0．3mm／r，干切)下研究了聚晶立方氮化硼刀具切削奥氏体高锰钢时的磨损机制，用WDH-Ⅱ型光电温度计测量了切削温度，用工具显微镜测量后刀面磨损量，进而考察了切削时间和切削速度对后刀面磨损量的影响，采用S-250MK型扫描电子显微镜观察刀具前、后刀面的磨损形貌和组成变化．结果表明：当切削温度为400～750℃时，聚晶立方氮化硼刀具同高锰钢中的γ相及其析出相(Fe，Mn)3C之间产生严重的机械磨损；当切削温度超过800℃时，聚晶立方氮化硼刀具同高锰钢单一γ相之间产生扩散磨损；聚晶立方氮化硼刀具适合于高速切削.