Generating semi-algebraic invariants for non-autonomous polynomial hybrid systems

Hybrid systems are dynamical systems with interacting discrete computation and continuous physical processes, which have become more common, more indispensable, and more complicated in our modern life. Particularly, many of them are safety-critical, and therefore are required to meet a critical safety standard. Invariant generation plays a central role in the verification and synthesis of hybrid systems. In the previous work, the fourth author and his coauthors gave a necessary and sufficient condition for a semi-algebraic set being an invariant of a polynomial autonomous dynamical system, which gave a confirmative answer to the open problem. In addition, based on which a complete algorithm for generating all semi-algebraic invariants of a given polynomial autonomous hybrid system with the given shape was proposed. This paper considers how to extend their work to non-autonomous dynamical and hybrid systems. Non-autonomous dynamical and hybrid systems are with inputs, which are very common in practice; in contrast, autonomous ones are without inputs. Furthermore, the authors present a sound and complete algorithm to verify semi-algebraic invariants for non-autonomous polynomial hybrid systems. Based on which, the authors propose a sound and complete algorithm to generate all invariants with a pre-defined template.     

Discovering non-terminating inputs for multi-path polynomial programs

This paper investigates the termination problems of multi-path polynomial programs （MPPs） with equational loop guards. To establish sufficient conditions for termination and nontermination simultaneously, the authors propose the notion of strong/weak non-termination which under/over- approximates non-termination. Based on polynomial ideal theory, the authors show that the set of all strong non-terminating inputs （SNTI） and weak non-terminating inputs （WNTI） both correspond to tile real varieties of certain polynomial ideals. Furthermore, the authors prove that the variety of SNTI is computable, and under some sufficient conditions the variety of WNTI is also computable. Then by checking the computed SNTI and WNTI varieties in parallel, termination properties of a consid- ered MPP can be asserted. As a consequence, the authors establish a new framework for termination analysis of MPPs.     

不同钙质原料对干式振动料性能的影响

采用新型环保复合结合剂和引入无水化钙质材料(石灰石、白云石、消石灰等)作为CaO源原料,研究开发环保型抗水化镁钙质干式料.结果表明, 钙质原料的种类、粒度和数量对干式料性能影响很大.加入部分石灰石颗粒,采用环保型结合剂可制得具有较好物理性能的干式料,其中粒度为3～1mm和1～0mm的石灰石加入量分别为5%和30%时,试样获得了较好的综合性能,是一种理想的CaO源材料.     

生态旅游社区从事旅游业者的行为特征研究——以芦芽山自然保护区为例

生态旅游社区从事旅游业不仅是保护自然资源的坚强力量，而且是支持旅游业的主力军，他们是旅游影响的直接主要的承受，本采用问卷调查的方式，对芦芽山自然保护区从事旅游业的行为特征进行了调查，结果表明，社区人们对自然保护的支持率较高，但却认为可以私自利用其资源，他们对于旅游的各种影响反映良好。     

一类非齐次A-调和方程很弱解的唯一性

通过运用扰动向量场的Hodge分解理论来构造适当的检验函数,得到非齐次A-调和方程Dirichlet问题-divA(x,(△)u)=f(x)在Grand-Sobolev空间很弱解的唯一性理论.     

VISA存储网络系统元数据管理的研究

为了提高虚拟接口存储结构(VISA)存储网络系统的性能,设计实现了基于块级的元数据管理子系统.该系统的元数据管理子系统实现了物理设备和逻辑设备的块地址空间之间的映射,支持动态地址映射、动态块重分配和热块冗余技术,可以对I/O请求的路径和数据传输的路径完全控制,从而有效地改善了VISA存储网络系统的I/O性能,使数据布局更加合理,提高了存储管理的灵活性,初步实现了负载均衡,并且使VISA存储网络系统具备了容错能力和节点的动态增加能力.测试结果表明:在加入了基于块级的元数据管理功能带来相应开销的情况下,VISA存储网络系统原型与传统存储网络系统iSCSI Linux MD相比,传输延迟减少了8.2%～21.0%,传输吞吐率提高了8.7%～11.9%.     

A genome-wide association study in Han Chinese identifies new susceptibility loci for ankylosing spondylitis

To identify susceptibility loci for ankylosing spondylitis, we performed a two-stage genome-wide association study in Han Chinese. In the discovery stage, we analyzed 1,356,350 autosomal SNPs in 1,837 individuals with ankylosing spondylitis and 4,231 controls; in the validation stage, we analyzed 30 suggestive SNPs in an additional 2,100 affected individuals and 3,496 controls. We identified two new susceptibility loci between EDIL3 and HAPLN1 at 5q14.3 (rs4552569; P = 8.77 × 10(-10)) and within ANO6 at 12q12 (rs17095830; P = 1.63 × 10(-8)). We also confirmed previously reported associations in Europeans within the major histocompatibility complex (MHC) region (top SNP, rs13202464; P < 5 × 10(-324)) and at 2p15 (rs10865331; P = 1.98 × 10(-8)). We show that rs13202464 within the MHC region mainly represents the risk effect of HLA-B*27 variants (including HLA-B*2704, HLA-B*2705 and HLA-B*2715) in Chinese. The two newly discovered loci implicate genes related to bone formation and cartilage development, suggesting their potential involvement in the etiology of ankylosing spondylitis.     

螺旋槽盘形铣刀数学模型的建立

采用分析计算法详细分析并建立了螺旋槽盘形铣刀的数学模型 ,并在此基础上用 Visual Basic语言编写了螺旋槽盘形铣刀刃形参数化设计及绘图软件 ,大大提高了螺旋槽盘形铣刀的参数化计算精度和设计效率。     

水解-Cu(Ⅱ)沉淀间接原子吸收法测定头孢氨苄

基于在pH4.0～5.4醋酸钠介质中,头孢氨苄于100℃下的水解产物能定量与Cu（Ⅱ）作用生成沉淀,测定反应后剩余的Cu（Ⅱ）,可间接测定头孢氨苄.方法操作简便,重现性好,线性范围5～300 mg/L,回收率为98%～105%.测定结果与药典法比较基本一致.