Duality theorem for weak L-R smash products

This paper gives a duality theorem for weak L-R smash products, which extends the duality theorem for weak smash products given by Nikshych.     

The Chen-Ruan cohomology of almost contact orbifolds

Comparing to the Ch-~Ruan cohomology theory for the almost complex orbifolds, we study the orbifold cohomology theory for almost contact orbifolds. We define the Chen-Ruan cohomology group of any almost contact orbifold. Using the methods for almost complex orbifolds, we define the obstruction bundle for any 3-multisector of the almost contact orbifolds and the Chen~Ruan cup product for the Che-Ruan cohomology. We also prove that under this cup product the direct sum of all dimensional orbifold cohomology groups constitutes a cohomological ring. Finally we calculate two examples.     

SLANT SUBMANIFOLDS OF A RIEMANNIAN PRODUCT MANIFOLD

In this article, the geometry of the slant submanifolds of a Riemannian product manifold is studied. Some necessary and sufficient conditions on slant, bi-slant and semi-slant submanifolds are given. We research fundamental properties of the distributions which are involved in definitions of semi- and bi-slant submanifolds in a Riemannian product manifold.     

Subgroup separability of certain generalized free products of nilpotent-by-finite groups

In this paper, we show that certain generalized free products of nilpotent-by-finite groups are subgroup separable when the amalgamated subgroup is h× D where D is in the center of both factors.     

L（j,k）-number of Direct Product of Path and Cycle

For positive numbers j and k, an L(j,k)-labeling f of G is an assignment of numbers to vertices of G such that |f(u)-f(v)|≥j if uv∈E(G), and |f(u)-f(v)|≥k if d(u,v)=2. Then the span of f is the difference between the maximum and the minimum numbers assigned by f. The L(j,k)-number of G, denoted by λj,k(G), is the minimum span over all L(j,k)-labelings of G. In this paper, we give some results about the L(j,k)-number of the direct product of a path and a cycle for j≤k.     

f-Harmonic maps of doubly warped product manifolds

In this paper, we study f-harmonicity of some special maps from or into a doubly warped product manifold. First we recall some properties of doubly twisted product manifolds. After showing that the inclusion maps from Riemannian manifolds M and N into the doubly warped product manifold M × _μ,λ N can not be proper f-harmonic maps, we use projection maps and product maps to construct nontrivial f-harmonic maps. Thus we obtain some similar results given in [21], such as the conditions for f-harmonicity of projection maps and some characterizations for non-trivial f-harmonicity of the special product maps. Furthermore, we investigate non-trivial f-harmonicity of the product of two harmonic maps.     

基于产品生命周期的闭环供应链回收量预测方法

针对马尔科夫预测方法存在的误差,根据产品在生命周期不同阶段的特点,提出了产品生命周期转化系数和状态转移矩阵,并利用该系数和矩阵对马尔科夫预测方法进行了改进:当相邻两期的产品处于不同的生命周期阶段,用产品生命周期转化系数修正预测值.在此基础上,结合闭环供应链的物品回收特点,提出了相应的预测方法,通过算例对模型的验证与分析得出:改进后的预测方法在一定程度上提高了预测精度.     

石油产品酸值测定仪校准方法

通过分析石油产品酸值测定仪工作原理,参考相应的国家技术规范,建立石油产品酸值测定仪的校准方法。使用酸值(以KOH计)为(0.11±0.03) mg/g的酸值标准物质对以颜色指示剂法为原理的石油产品酸值测定仪进行校准,设定校准项目:示值误差为–0.01 mg/g;重复性为0.02 mg/g。对石油产品酸值测定仪示值误差测量结果的不确定度进行评定,扩展不确定度为0.04 mg/g(k=2)。该校准方法计量特性满足校准要求,可用于评价石油产品酸值测定仪的性能。     

“光纸”开启灯光新纪元

如果光也可以像纸一样打印,还能被运用到任何物体表面,你会如何使用它?来自美国的Rohinni公司发明了一种"光纸",它是一种打印光的形式,可以把光打印成任何形状,从而运用到不同物体表面和不同场景中去。是不是觉得这有点像3D打印?Rohinni公司的CMOSmoot说:"我们不知道将来光纸在相关平台上会有怎样的应用,我们所知道仅仅是如何开启制造光的大门。"