Rigidity and flexibility of virtual polytopes

All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski differences (virtual polytopes) can be flexible with any finite freedom degree. We derive some sufficient rigidity conditions for virtual polytopes and present some examples of flexible ones. For example, Bricard's first and second flexible octahedra can be supplied by the structure of a virtual polytope.     

Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates

We provide an approximate analysis of the transient sojourn time for a processor sharing queue with time varying arrival and service rates, where the load can vary over time, including periods of overload. Using the same asymptotic technique as uniform acceleration as demonstrated in [12] and [13], we obtain fluid and diffusion limits for the sojourn time of the M_t/M_t/1 processor-sharing queue. Our analysis is enabled by the introduction of a “virtual customer” which differs from the notion of a “tagged customer” in that the former has no effect on the processing time of the other customers in the system. Our analysis generalizes to non-exponential service and interarrival times, when the fluid and diffusion limits for the queueing process are known.     

"一步建站"Web管理系统的探讨和实现

“一步建站”Web管理系统是指通过Web界面一次性提交用户资料，系统自动完成为上网建站用户开通虚拟服务器、进行域名解析、创建FTP维护账号及指定租用硬盘空间大小等一系列操作。同时，该系统还可对已开通的用户站点进行管理。     

On hyperbolic virtual polytopes and hyperbolic fans

Hyperbolic virtual polytopes arose originally as polytopal versions of counterexamples to the following A.D.Alexandrov’s uniqueness conjecture: Let K ⊂ ℝ³ be a smooth convex body. If for a constant C, at every point of ∂K, we have R ₁ ≤ C ≤ R ₂ then K is a ball. (R ₁ and R ₂ stand for the principal curvature radii of ∂K.) This paper gives a new (in comparison with the previous construction by Y.Martinez-Maure and by G.Panina) series of counterexamples to the conjecture. In particular, a hyperbolic virtual polytope (and therefore, a hyperbolic hérisson) with odd an number of horns is constructed. Moreover, various properties of hyperbolic virtual polytopes and their fans are discussed.     

Java语言及其虚拟机技术探讨

随着Internet的迅猛发展，Internet编程语言Java愈来愈成为计算机行业的焦点。本文在简述了Java的主要特点后，重点对Java最关键的技术──虚拟机进行了深入的探讨。     

生物质裂解产物的制备及HPLC检测其成分的虚拟仿真实验开发

In order to improve university laboratory teaching and practical education under the background of information technology, as well as overcome the difficulty for practical training, develop a virtual simulation experiment platform for rapid pyrolysis of natal materials and high-performance liquid chromatographic (HPLC) detection of its components. The experiment integrates the actual operation process of the plant to produce cleaved products by rapid pyrolysis of biomass with HPLC detection. The virtual experiment is divided into biomass sample pretreatment, rapid biomass pyrolysis, bio-oil extraction, and HPLC determination of complex components, making the biomass cleavage workshop "real" through simulation. This virtual simulation experiment fully integrates the utilization of biomass resources and basic chemistry courses (such as organic chemistry, instrumental analysis, chemical engineering principles, etc.), which are widely involved in agricultural and forestry majors with advantageous characteristics value.     

“线上线下-虚实结合”在有机化学实验教学中的应用探索——以正溴丁烷的制备实验为例

In response to the impact of the Covid-19 epidemic on organic chemistry laboratory teaching, this article analyzes and discusses the current limitation of traditional organic chemistry laboratory teaching. Taking the "preparation of n-bromobutane" as an example, a new "online-offline and virtual-actual combination" teaching mode with the combination of "Tencent Meeting, MLabs, laboratory and WeChat group" is introduced. The practice of the new mode of teaching includes the following steps: pre-class online guiding by teacher, student preview and practice based on the virtual simulation platform, students and teacher discussion and operation in laboratory, and post-classcomprehensive assessment and Q&A", and good teaching effects have been received. It is significant in cultivating and improving the independent innovation and practical ability, and provides reference for the organic chemistry laboratory teaching reform and also lays a foundation for the construction of "outstanding course" of organic chemistry.     

基于边缘差异的虚拟视图像质量评价方法

为了降低多视视频中的传输数据量,可适当减少包含纹理图及其对应深度图的多视数量,而在自由立体视频系统的终端采用基于深度图的绘制技术,生成新的虚拟视点。由于不准确的深度图估计、遮挡及合成算法等原因,合成虚拟视的边缘会出现高频噪声。对于这种特有的失真,用一般的评价方法并不能准确反映人眼的视觉感知。该文在分析失真虚拟视与原始视像素差异基础上,对各差异像素进行分类,并分配权重,提出了一种基于视觉加权的边缘差异质量评价方法,对边缘像素施加较高权重。经多视视频序列实验证明,该文方法相比于其它评价方法,能更好地预测人类视觉对虚拟视图像的主观感知。     

面向底层单节点失效的轻量级可靠虚拟网络映射算法

网络可靠性是虚拟网络设计的一个重要指标,目前得到了越来越多的关注。该文对轻量级可靠的虚拟网络映射问题进行研究。目标是不预留底层网络保护资源,当底层物理网络单节点失效时,虚拟网络拓扑除失效虚拟节点外仍保持连通,将损失降到最小。文章首先给出了存在轻量级可靠虚拟网络映射可能的必要条件并加以证明,然后基于此条件对面向底层单节点失效的轻量级可靠虚拟网络映射问题进行整数线性规划建模,最后设计了一种新的启发式算法对其进行求解。该算法包括拓扑感知的虚拟节点映射策略和一种基于禁忌搜索(tabu search)算法的虚拟链路映射策略。模拟实验结果表明,该文提出的算法在得到轻量级可靠虚拟网络映射的同时,仍能获得较高的底层网络长期运行平均收益和底层网络资源利用率。     

基于虚拟时差的运动阵列空间无源定位算法

针对脉冲骨架周期固定的雷达脉冲信号辐射源无源定位问题,该文提出一种基于虚拟时差的运动阵列空间无源定位算法,采用运动单阵列接收目标辐射源信号,通过多次测量侦察站不同位置的脉冲到达时间来估计目标辐射源位置。分别针对脉冲骨架周期已知和未知两种情况,提出了一种基于高阶统计量的无源定位算法,并推导了不同情况下定位精度的克拉美罗界。仿真实验表明,不同情况下定位算法定位精度逼近克拉美罗界,且脉冲骨架周期已知时虚拟时差无源定位算法定位精度优于同孔径实阵列TDOA无源定位算法定位精度,脉冲骨架周期未知时虚拟时差无源定位算法定位精度低于同孔径实阵列TDOA无源定位算法定位精度。