Solid state structure and absolute configuration of filifolinol acetate

Careful reevaluation of the 1H and 13C NMR spectroscopic data of filifolinol acetate (4) led to the reassignment of the C-10 and C-11 signals, as well as the gem-dimethyl signals. Single crystal X-ray analysis provided an independent structural confirmation of 4, and comparison of the experimental vibrational circular dichroism spectrum with calculations performed using density functional theory provided the absolute configuration of this 3H-spiro-1-benzofuran-2,1'-cyclohexane and related molecules.     

An adaptive multi-start graph partitioning algorithm for structuring cellular networks

In mobile network design, the problem of assigning network elements to controllers when defining network structure can be modeled as a graph partitioning problem. In this paper, a comprehensive analysis of a sophisticated graph partitioning algorithm for grouping base stations into packet control units in a mobile network is presented. The proposed algorithm combines multi-level and adaptive multi-start schemes to obtain high quality solutions efficiently. Performance assessment is carried out on a set of problem instances built from measurements in a live network. Overall results confirm that the proposed algorithm finds solutions better than those obtained by the classical multi-level approaches and much faster than classical multi-start approaches. The analysis of the optimization surface shows that the best local minima values follow a Gumbel distribution, which justifies the stagnation of naive multi-start approaches after a few attempts. Likewise, the analysis shows that the best local minima share strong similarities, which is the reason for the superiority of adaptive multi-start approaches. Finally, a sensitivity analysis shows the best internal parameter settings in the algorithm.     

Multiple stability and uniqueness of the limit cycle in a Gause-type predator–prey model considering the Allee effect on prey

In this work, a bidimensional differential equation system obtained by modifying the well-known predator–prey Rosenzweig–MacArthur model is analyzed by considering prey growth influenced by the Allee effect.One of the main consequences of this modification is a separatrix curve that appears in the phase plane, dividing the behavior of the trajectories. The results show that the equilibrium in the origin is an attractor for any set of parameters. The unique positive equilibrium, when it exists, can be either an attractor or a repeller surrounded by a limit cycle, whose uniqueness is established by calculating the Lyapunov quantities. Therefore, both populations could either reach deterministic extinction or long-term deterministic coexistence.The existence of a heteroclinic curve is also proved. When this curve is broken by changing parameter values, then the origin turns out to be an attractor for all orbits in the phase plane. This implies that there are plausible conditions where both populations can go to extinction. We conclude that strong and weak Allee effects on prey population exert similar influences on the predator–prey model, thereby increasing the risk of ecological extinction.     

Least squares problems involving generalized Kronecker products and application to bivariate polynomial regression

Numerical Algorithms - A method for solving least squares problems (A ? Bi)x = b whose coefficient matrices have generalized Kronecker product structure is presented. It is based on the...     

Correction to: Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain

Foundations of Computational Mathematics - In the published article, Figure 5 corresponds to an eigenfunction associated not with the first smallest positive eigenvalue.     

Stackelberg–Nash exact controllability for the Kuramoto–Sivashinsky equation

This paper deals with a hierarchical control problem for the Kuramoto–Sivashinsky equation following a Stackelberg–Nash strategy. We assume that there is a main control, called the leader, and two secondary controls, called the followers. The leader tries to drive the solution to a prescribed target and the followers intend to be a Nash equilibrium for given functionals. It is known that this problem is equivalent to a null controllability result for an optimality system consisting of three non-linear equations. One of the novelties is a new Carleman estimate for a fourth-order equation with right-hand sides in Sobolev spaces of negative order, which allows to relax some geometric conditions for the observation sets for the followers.     

中国区域间技术创新的空间溢出效应研究

本文结合新经济地理学K关联的思想构造了外部技术创新溢出指数模型,在此基础上运用2006~2014年中国30个省级行政区的面板数据对中国区域间技术创新空间溢出效应进行了实证研究,结果表明:(1)全国技术创新溢出效应主要是东部地区带动的,东部地区的省份对东部、中部和西部地区其他省份存在技术创新溢出效应,而中部和西部并没有对其他地区技术创新产生溢出效应,并且中部地区和西部地区内部各省之间存在竞争效应。(2)无论是全国还是东部、中部和西部地区,R&D经费、R&D人员和知识存量均对技术创新产生正向作用,并且这些地区的技术创新产出均处于规模报酬递减阶段,不同的是,全国、东部和中部地区R&D人员对技术创新的贡献比R&D资本要大,而西部地区R&D资本对技术创新的贡献则要大于R&D人员。     

Validity of the Electronic Transition Moment Functions for the B-X Transition of I2, From Radiative Lifetimes of the Vibrational Levels of the B State

Franck-Condon factors and R-centroids for the B-X transition of I₂ have been calculated from recent molecular parameters. From our radiative lifetimes and others reported in the literature, the validity of several proposed electronic transition moment functions has been checked. Acombination of the Bhale and Koffend functions seems to give the best fitting with the experimental radiative lifetimes.     

X‐ray absorption study of the local structure at the NiO/oxide interfaces

This work reports an X‐ray absorption near‐edge structure (XANES) spectroscopy study at the Ni K‐edge in the early stages of growth of NiO on non‐ordered SiO₂, Al₂O₃ and MgO thin films substrates. Two different coverages of NiO on the substrates have been studied. The analysis of the XANES region shows that for high coverages (80 Eq‐ML) the spectra are similar to that of bulk NiO, being identical for all substrates. In contrast, for low coverages (1 Eq‐ML) the spectra differ from that of large coverages indicating that the local order around Ni is limited to the first two coordination shells. In addition, the results also suggest the formation of cross‐linking bonds Ni—O—M (M = Si, Al, Mg) at the interface.