The Gold Partition Conjecture

We present the Gold Partition Conjecture which immediately implies the – Conjecture and tight upper bound for sorting. We prove the Gold Partition Conjecture for posets of width two, semiorders and posets containing at most elements. We prove that the fraction of partial orders on an -element set satisfying our conjecture converges to when approaches infinity. We discuss properties of a hypothetical counterexample.     

基于明暗度分类和改进二分法的车牌字符分割

车牌字符分割易受到车牌倾斜及边界、杂点的干扰,致使复杂条件下的车牌图像分割准确率不高,针对该缺点提出一种鲁棒性强的分割算法。在车牌预处理阶段进行图像明暗度分类及灰度图增强,以此为基础进行倾斜校正及上下边界定位;在字符切分阶段采用改进二分法进行分割,之后对1,2,6,7四个字符实现了边界精确定位。实验表明,该算法实时性较好,能够有效克服车牌对比度不高、模糊、粘连和倾斜的缺点。     

鄂尔多斯盆地宜川地区上古生界烃源岩评价

依据氢指数（HI）、降解率（PC/TOC）等两个方面的地球化学指标,按照煤系地层烃源岩有机质类型划分标准,对研究区的山西-太原组烃源层的有机质类型作剖析,进行上古生界烃源岩系统评价。研究认为,本溪组烃源岩主要是泥岩,有机质丰度平均2.51%,泥岩干酪根母质类型主体属腐殖型干酪根,即Ⅲ型干酪根;太原组暗色泥岩有机质丰度平均2.26%,煤层比较发育,有机质丰度平均81.66%;山西组的泥岩比较发育,泥岩有机质丰度平均2.26%,煤层有机质丰度平均72.66%。本区上古生界干酪根显微组分都以镜质组为主,显示干酪根母质为腐殖型,即Ⅲ型干酪根,热成熟度演化较高,Ro都大于2.5%,Tmax为490℃以上,表明泥岩已达到过成熟阶段,本区暗色泥岩及煤层属中等—好气源岩,此次烃源岩的认识对该区下一步的勘探提供重要的依据。     

一类二阶Hamilton系统周期解的存在性

研究了二阶Hamilton系统的周期解问题.在超二次条件下,利用山路定理得到了二阶Hamilton方程至少存在一个非平凡周期解的结论.     

Combined perturbation effects for a class of nonlinear fourth-order Navier problems

We study a class of nonlinear elliptic problems with Navier boundary condition and involving the Laplace and the biharmonic operators. The main result of this paper establishes a sufficient condition for the existence of nontrivial weak solutions, in relationship with the values of a certain real parameter with respect to the principal eigenvalue of the Laplace operator.     

General solution of Basset equation with Caputo generalized Hukuhara derivative

In this paper, the fuzzy Basset equation is introduced. This problem is related to the motion of a sphere in a viscous liquid when its parameters are fuzzy numbers. We investigate the existence and uniqueness of solution with converting the problem to a system of fuzzy fractional differential equation, and the solution is also obtained under Caputo generalized Hukuhara differentiability. Some examples show the effectiveness and efficiency our approach.     

Generalized Navier-Stokes equations with initial data in local Q-type spaces

In this paper, we establish a link between Leray mollified solutions of the three-dimensional generalized Navier-Stokes equations and mild solutions for initial data in the adherence of the test functions for the norm of . This result applies to the usual incompressible Navier-Stokes equations.     

Weighted estimates for a class of multilinear fractional type operators

In this paper, a class of multiple fractional type weights is defined as

     

Identification of stiffness, dissipation and input parameters of randomly excited non-linear systems: Capability of restricted potential models (RPM)

A dynamic identification technique in the time domain for time invariant systems under random external forces is presented. This technique is based on the use of the class of restricted potential models (RPM), which are characterized by a non-linear stiffness and a special form of damping, that is a product of the input power spectral density (PSD) matrix and the velocity gradient of a non-linear function of the total mechanical energy. By applying stochastic differential calculus and by specific analytical manipulations, some algebraic equations, depending on the response statistics and on the mechanic parameters that characterize RPM, are obtained. These equations can be used for the dynamic identification of the above mechanic parameters once the response statistics of the system to be identified are evaluated. The proposed technique allows one to identify single-degree-of-freedom or multi-degrees-of-freedom systems in the case of unmeasurable input. Further, the probabilistic characteristics of the external forces can be completely estimated in terms of PSD matrix.     

中波红外3 μm～5 μm宽带通滤光片的研制

 中波红外宽带通滤光膜通常膜系层数多,膜层总厚度非常大（厚度达到10 μm左右）,膜层的镀制工艺难度较大。通过分析红外带通滤光片几种设计方法的特点,并结合实际镀制工艺技术,采用了长波通与短波通及非规整薄膜设计技术相结合的方法,设计了以锗材料为基底的中波3 μm～５ μm宽带通滤光膜。该设计大幅度降低了膜层的总厚度（约为8.65 μm）,缩短了膜层的镀制周期,提高了膜层的牢固度;在膜层的镀制工艺过程中,通过改变薄膜材料的蒸发速率、修正蒸发硫化锌材料时电子枪的扫描方式、调整蒸发材料在坩埚中的装载方法,使膜层获得了优异的光谱性能,其通带平均透过率大于96%,截止区域的平均透过率小于1%。