6528澄清剂和磷酸对蔗糖分转化率的影响研究

采用均匀设计法,研究了6528澄清剂或磷酸用量、pH值、温度、振荡时间等因素对蔗糖分转化率的影响规律。通过回归分析和网格优化法,得到了各因素对蔗糖分转化率影响的数学方程和优化值。分析并比较了6528澄清剂和磷酸对蔗糖分转化率的影响。     

无界区域上非自治BBM方程的一致吸引子

讨论了无界区域上非自治广义BBM方程的Cauchy问题，给出了方程解的先验估计，并证明了由方程生成的过程族在H^1（A）弱拓扑下存在一致吸引子．     

On the usage of NURBS as interface representation in free‐surface flows

When simulating free‐surface flows using the finite element method, there are many cases where the governing equations require information which must be derived from the available discretized geometry. Examples are curvature or normal vectors. The accurate computation of this information directly from the finite element mesh often requires a high degree of refinement—which is not necessarily required to obtain an accurate flow solution. As a remedy and an option to be able to use coarser meshes, the representation of the free surface using non‐uniform rational B‐splines (NURBS) curves or surfaces is investigated in this work. The advantages of a NURBS parameterization in comparison with the standard approach are discussed. In addition, it is explored how the pressure jump resulting from surface tension effects can be handled using doubled interface nodes. Numerical examples include the computation of surface tension in a two‐phase flow as well as the computation of normal vectors as a basis for mesh deformation methods. For these examples, the improvement of the numerical solution compared with the standard approaches on identical meshes is shown. Copyright © 2011 John Wiley & Sons, Ltd.     

基于均匀设计的锦绣杜鹃花色苷提取工艺优选

本研究以锦绣杜鹃花为原料,以花色苷提取率为衡量指标,选取乙醇浓度、液料比、超声时间、超声温度为考察因素,在单因素试验基础上运用U12(6~4)进行均匀试验设计,并通过逐步回归优选出杜鹃花花色苷的提取工艺为:乙醇浓度为80%,液料比为120 m L·g~(-1),超声时间为50 min,超声温度为40℃。应用优化得到的工艺条件进行验证试验,取得了较好的效果,表明该优化的提取条件稳定、方便、适用。     

A mixed hp FEM for the approximation of fourth‐order singularly perturbed problems on smooth domains

We consider fourth‐order singularly perturbed problems posed on smooth domains and the approximation of their solution by a mixed Finite Element Method on the so‐called Spectral Boundary Layer Mesh. We show that the method converges uniformly, with respect to the singular perturbation parameter, at an exponential rate when the error is measured in the energy norm. Numerical examples illustrate our theoretical findings.     

Optimal uniform approximation on angles by entire functions

The paper discusses the best or optimal uniform approximation problem by entire functions on a closed angle Δ. This problem has been studied by M.V. Keldysch in [4], under the assumption that the functions ? subject to approximation are holomorphic in a larger angle containing Δ and there is no restriction on the growth of ? at infinity. In [8], the problem was investigated for a wider class of functions ? continuously complex differentiable on Δ, with sharper estimates on the growth of approximating entire functions, linked with the growth of ? on Δ and the differential properties of ? on the boundary of Δ. In this paper, we improve some of the results on entire approximation on angles, using new approximation ideas partially presented in [9] and [10].     

非自治吊桥方程的一致吸引子

作者讨论了非自治吊桥面方程的长时间动力学行为.通过应用一些新的结果和能量估计技巧,获得了能量的一致衰退估计.当外力项f满足条件（C*）（而非平移紧）时,作者证明了一致吸引子在H20（Ω）×L2(Ω)上的存在性,此结果推广和改进了一些已有结果.     

海量信息异常检测问题的异常概率排序算法

针对异常检测算法速度慢、精度低、稳定性差等问题,提出了一种通过异常概率排序提取异常点的算法(OAP).由于异常点相对正常点更容易通过对数据空间的均匀分割而孤立出来,所以OAP通过数据点在均匀N叉分割树中的孤立深度估算异常概率的大小,从而得到异常概率的排序,最终构造由k个异常概率最大的点组成的列表,列表中的数据就是所求的...     

优化端点条件的平面二次均匀B样条插值曲线

在利用反求法构造B样条插值曲线时,往往需要选取端点条件。 因此,可对端点条件进行优化选取,使得构造的B样条插值曲线满足特定要求。提出了一种利用曲线内能极小选取平面二次均匀B样条插值曲线端点条件的算法。首先给出了二次均匀B样条插值曲线分控制顶点与首个控制顶点（即端点条件）的递推关系式;然后给出了利用曲线内能极小优化选取首个控制顶点的算法,证明了利用该算法构造的C¹连续二次均匀B样条插值曲线为保形插值,并通过数值算例证明了算法的有效性;最后,为便于实际应用,基于MATLAB平台设计了算法所对应的图形用户界面,用户通过简单的操作即可获得光顺的C¹连续二次均匀B样条保形插值曲线。     

可重构智能表面辅助大规模MIMO通信波束成形设计

可重构智能表面(reconfigurable intelligent surface, RIS)在无线通信系统中能够提高信道性能。为了降低传统波束成形方案中功率分配的复杂度,结合毫米波(millimeter wave, mmWave)特点建立信道模型,提出一种基于正交匹配追踪(orthogonal matching pursuit, OMP)和统一信道分解(uniform channel decomposition, UCD)的RIS辅助mmWave多输入多输出(multiple input multiple output, MIMO)系统混合波束成形设计方案。利用视距(line of sight, LoS)信道的到达角(angle of arrival, AoA)和离开角(angle of departure, AoD)设计了RIS的反射矩阵。该方法不需要复杂的功率分配,能够使得多个并行数据流具有相同的信道增益。仿真结果表明,该混合波束成形方案具有更好的误比特率(bit error rate, BER)性能及频谱效率。