Extremal self-dual codes of length 64 through neighbors and covering radii

We construct extremal singly even self-dual [64,32,12] codes with weight enumerators which were not known to be attainable. In particular, we find some codes whose shadows have minimum weight 12. By considering their doubly even neighbors, extremal doubly even self-dual [64,32,12] codes with covering radius 12 are constructed for the first time.     

Synthesis and physical properties of Ca- and Ta-modified (K,Na)NbO3 lead-free piezoelectric ceramics

Polycrystalline samples of lead-free Ca and Ta co-substituted potassium sodium niobate (K_0.5Na_0.5NbO_3, KNN) ceramics have been prepared by solid state reaction technique. X-ray diffraction showed formation of a single-phase perovskite structure with orthorhombic symmetry. Substitution inhibits the grain growth, improves densification and decreases the ferro-paraelectric phase transition temperature. Temperature dependent dielectric permittivity studies demonstrate significant decrease in peak-permittivity values in the substituted samples. Bulk longitudinal piezoelectric coefficient is significantly enhanced, up to ～155 pC/N for (K_0.48Na_0.48Ca_0.02)(Nb_0.85Ta_0.15O₃) as compared to 95 pC/N for pristine KNN ceramic. Local piezoelectric properties have been observed by piezoresponse force microscopy (PFM) technique. Distinct piezocontrast was studied in both vertical and in-plane modes of PFM for all samples. The samples exhibit self-polarization effect in the unpoled state and effective local vertical piezoelectric coefficient was the largest in Ca and Ta co-substituted sample whereas the in-plane piezoelectric coefficient was maximum for Ca-substituted KNN sample. These studies are important for using substituted lead free KNN materials in various piezoelectric applications.     

Body fitted link-cell algorithm for particulate flow simulation in curved pipeline domain

The link-cell (LC) algorithm is widely used in discrete element method (DEM) simulation, in order to increase computational efficiency. The common way is to divide the entire computational domain into a series of square sub-cells. A huge index matrix, Ω$\Omega$, is required to store the information of particles located in each of these sub-cells. However, most of these sub-cells are always empty for some anomalistic computational domain, such as particulate flow in a pipeline. These empty sub-cells also consume the limited memory bandwidth and lower the computational power. In order to reduce the size of the index matrix, a body fitted link-cell (BFLC) algorithm is established to identify the neighbors quickly. Furthermore, a simplified algorithm for simulation of two dimensional particulate flow in curved pipelines is presented. Lastly, an example is presented to validate the BFLC algorithm.     

基于三维荧光光谱和四元数主成分分析的食醋品牌溯源研究

提出基于四元数主成分分析的三维荧光光谱特征提取新方法,并将其运用于品牌食醋溯源研究。首先利用F7000荧光光谱仪测得不同品牌食醋样本的三维荧光光谱数据,获取样本的等高线图和三维投影图,并进行三维荧光等高线图分析;然后利用激发波长分别为380,360和400 nm下的发射光谱数据建立食醋三维荧光光谱数据的四元数并行表示模型,对四元数荧光光谱矩阵进行四元数主成分特征提取,并基于乘积运算、模值运算和求和运算三种方法对提取出来的四元数主成分特征进行特征融合;最后将融合特征作为K近邻分类器的输入,得到不同食醋品牌的最优分类模型。分别讨论三种不同特征融合方法和四元数主成分个数与最终模型分类正确率之间的关系。针对四个不同食醋品牌120个样本的分析结果可得：基于求和特征融合运算所得到的融合特征可以利用最少的特征数目,建立最优的溯源模型,样本预测集溯源正确率可达100%。研究结果表明：四元数主成分特征提取和特征融合方法能够并行表示三维荧光光谱数据所蕴含的丰富信息,为三维荧光光谱数据分析提供新思路。     

Angular reconstruction of a lead scintillating-fiber sandwiched electromagnetic calorimeter

The Neighbor Cell Deposited Energy Ratio （NCDER） is a new method that is proposed to reconstruct incidence position in a single layer for a 3-dimensional imaging electromagnetic calorimeter （ECAL）. This method was applied to reconstruct the ECAL test beam data for the Alpha Magnetic Spectrometer-02 （AMS-02）. The results show that this method can achieve an angular resolution of 7.36±0.08°/√E＋0.28±0.02° in the determination of the photon＇s direction, which is much more precise than that obtained with the commonly-adopted Center of Gravity （COG） method （8.4±0.1°/E＋0.8±0.3°）. Furthermore, since it uses only the properties of electromagnetic showers, this new method could also be used for other type of fine grain sampling calorimeters.     

图的上可嵌入性的邻域条件

用NG（u）表示一个图G中任意点u的邻域集．本文主要证明了下述结果：设G是无环图,对G中任意相邻的点u和υ,即uυ∈E（G）,若如下两条件之一满足：（1）|NG(u)∩NG(υ)≥2;（2）G是2-点连通的图,且|NG(u)∩NG(υ)|≥1,则G是上可嵌入的．     

Neighbor sum distinguishing colorings of graphs with maximum average degree less than $$\tfrac{{37}} {{12}}$$

Let G be a graph and let its maximum degree and maximum average degree be denoted by Δ(G) and mad(G), respectively. A neighbor sum distinguishing k-edge colorings of graph G is a proper k-edge coloring of graph G such that, for any edge uv ∈ E(G), the sum of colors assigned on incident edges of u is different from the sum of colors assigned on incident edges of v. The smallest value of k in such a coloring of G is denoted by χ′_∑(G). Flandrin et al. proposed the following conjecture that χ′_∑ (G) ≤ Δ(G) + 2 for any connected graph with at least 3 vertices and G ≠ C₅. In this paper, we prove that the conjecture holds for a normal graph with mad(G) < \(\tfrac{{37}}{{12}}\) and Δ(G) ≥ 7.     

四方和正交以及单斜相K0.5Na0.5NbO3的结构稳定性和电子结构的第一性原理研究

采用基于密度泛函理论框架下的第一性原理超原胞方法和虚晶近似方法, 在局域密度近似和广义梯度近似下, 对四方和正交以及单斜相K_0.5Na_0.5NbO₃的能量和原子结 构以及电子结构进行了系统的研究. 计算结果表明三种K_0.5Na_0.5NbO₃相的能量差别较小, 这与实验上它们之间容易发生相转化是一致的. 进一步发现单斜相的能量比四方相和正交相低, 说明单斜相结构更加稳定, 并且理论计算的结构参数与实验值符合得很好. 电子结构结果也表明单斜相的键合作用比四方相和正交相键合作用更强, 进一步说明单斜相结构更加稳定. 关键词： 铌酸钾钠 四方相 单斜相 密度泛函理论     

Neighbor games and the leximax solution

Neighbor games arise from certain matching or sequencing situations in which only some specific pairs of players can obtain a positive gain. As a consequence, the class of neighbor games is the intersection of the class of assignment games (Shapley and Shubik (1972)) and the class of component additive games (Curiel et al. (1994)). We first present some elementary features of neighbor games. After that we provide a polynomially bounded algorithm of order p ³ for calculating the leximax solution (cf. Arin and Iñarra (1997)) of neighbor games, where p is the number of players. This authors work has been supported by CentER and the Department of Econometrics, Tilburg University and by the Foundation for the Hungarian Higher Education and Research (AMFK).     

Cost-Sensitive KNN Algorithm for Cancer Prediction Based on Entropy Analysis

Early diagnosis of cancer is beneficial in the formulation of the best treatment plan; it can improve the survival rate and the quality of patient life. However, imaging detection and needle biopsy usually used not only find it difficult to effectively diagnose tumors at early stage, but also do great harm to the human body. Since the changes in a patient’s health status will cause changes in blood protein indexes, if cancer can be diagnosed by the changes in blood indexes in the early stage of cancer, it can not only conveniently track and detect the treatment process of cancer, but can also reduce the pain of patients and reduce the costs. In this paper, 39 serum protein markers were taken as research objects. The difference of the entropies of serum protein marker sequences in different types of patients was analyzed, and based on this, a cost-sensitive analysis model was established for the purpose of improving the accuracy of cancer recognition. The results showed that there were significant differences in entropy of different cancer patients, and the complexity of serum protein markers in normal people was higher than that in cancer patients. Although the dataset was rather imbalanced, containing 897 instances, including 799 normal instances, 44 liver cancer instances, and 54 ovarian cancer instances, the accuracy of our model still reached 95.21%. Other evaluation indicators were also stable and satisfactory; precision, recall, F1 and AUC reach 0.807, 0.833, 0.819 and 0.92, respectively. This study has certain theoretical and practical significance for cancer prediction and clinical application and can also provide a research basis for the intelligent medical treatment.