脑电信号的多尺度排列熵分析

本文利用多尺度排列熵对正常脑电信号和癫痫脑电信号进行了详细的分析和比较,研究了脑电图信号多尺度排列熵值和年龄的关系以及尺度因子对多尺度排列熵值的影响.通过对处于各个年龄段的22组正常人和22组患有癫痫人群的脑电图进行多尺度排列熵分析,发现在相同年龄段的人群中,正常脑电信号的多尺度排列熵值要高于癫痫脑电信号,熵值平均高出约0.19,约7.9%.另外,在尺度因子小于15的情况下,对于在30到35的年龄段正常人群,其多尺度排列熵值最大,随着年龄段的增大或降低熵值都一定程度的降低.结果证明,多尺度排列熵可以成功区分正常脑电信号和癫痫脑电信号,并且熵值可以正确地反映人体大脑发育的一般过程.     

结合DEM的红边-近红外植被指数提取城市植被信息

随着生活水平的不断提高,城市植被已成为衡量城市宜居性的重要标准之一,对城市生物多样性评估和保护起到非常重要的作用。因此,合理规划城市植被是解决环境问题和提高生活质量的重要手段。因此,城市植被的提取和监测成为重中之重的任务。目前,城市植被提取一方面受到地域和物种的影响,另一方面也受到地形和建筑物阴影的影响。为解决上述问题,提出了一种结合数字高程模型(DEM)的红边-近红外植被指数模型（RENVI）。首先选取了3景经过辐射定标和大气校正的具有红边波段、且光谱和空间分辨率较高的Worldview-3遥感影像;然后,根据红边波段对于植被具有较高的敏感性,且红边范围内的光谱数据与反映植被生长状况的参数有较好的相关关系原理,采用DEM模型和红边波段光谱差异,有效去除地形和建筑物阴影;最后,在可见光波段范围内建立红边光谱-近红外光谱构建特征空间,构建了红边-近红外植被指数模型,同时与归一化植被指数（NDVI）和增强型植被指数（EVI）进行城市植被提取的定性和定量对比分析。定性分析是利用真实植被影像参考图与模型提取植被影像进行视觉分析;后者是采用用户精度、生产者精度、总体精度和Kappa系数进行量化分析。定性分析表明：NDVI和EVI提取城市植被,由于建筑和道路像元混淆在植被中,产生了错分和漏分的问题。RENVI较好地消除了阴影像元与植被像元混淆问题,能准确的提取城市植被,减少了冗余度,增加了植被指数的信息量。定量分析表明：RENVI模型较NDVI和RVI能够准确提取城市植被,3景影像总体精度分别为89%,81.4%和91.8%,Kappa系数分别为0.852 8,0.791 3和0.905 2。综上所述,该方法有效提高了城市植被提取精度,并取得了较好的提取视觉效果。     

基于多路可视图的健康与心梗患者心电图信号复杂网络识别

可视图(visibility graph, VG)算法已被证明是将时间序列转换为复杂网络的简单且高效的方法,其构成的复杂网络在拓扑结构中继承了原始时间序列的动力学特性.目前,单维时间序列的可视图分析已趋于成熟,但应用于复杂系统时,单变量往往无法描述系统的全局特征.本文提出一种新的多元时间序列分析方法,将心梗和健康人的12导联心电图(electrocardiograph, ECG)信号转换为多路可视图,以每个导联为一个节点,两个导联构成可视图的层间互信息为连边权重,将其映射到复杂网络.由于不同人群的全连通网络表现为完全相同的拓扑结构,无法唯一表征不同个体的动力学特征,根据层间互信息大小重构网络,提取权重度和加权聚类系数,实现对不同人群12导联ECG信号的识别.为判断序列长度对识别效果的影响,引入多尺度权重度分布熵.由于健康受试者拥有更高的平均权重度和平均加权聚类系数,其映射网络表现为更加规则的结构、更高的复杂性和连接性,可以与心梗患者进行区分,两个参数的识别准确率均达到93.3%.     

Tunable spectral shift of high-order harmonic generation in atoms using a sinusoidally phase-modulated pulse

High-order harmonic generation (HHG) from an atom illuminated by a sinusoidally phase-modulated pulse is investigated by solving the time-dependent Schrödinger equation. The spectral shift that occurs in atomic HHG can be achieved easily using our laser pulse. It is shown that the photon energy of the generated harmonics is controllable within the range of 1 eV. The shift of the frequency peak position is rooted in the asymmetry of the rising and falling parts of the laser pulse. We also show that by varying the phase parameters in the frequency domain of the laser one can adjust and control the shift in atomic harmonic spectra.     

Effects of Dual-Electrode Biasing on Er in a Toroidal Plasma

Two externally biased electrodes were inserted into the plasma on the KT-5C tokamak to test the effects on modifying the radial electric field Er, other than single biasing. Using various combinations of biasing voltage,the influences of double biasing are compared with the single biasing. It turns out that the effect of dual-biasing is also effective as a single one, but the outer electrode seems to be shielded by the inner one and show less influence. The results clearly show that the radial electric field Er changed by external biasing is intrinsically an effect localized at the edge of the plasma, which is caused by the electrode induced radial current; and dualelectrode biasing using the method similar to the single biasing seems not to be able to increase more distinctly the peaking effect on Er than the single biasing.     

竞赛题中的二次函数求最值问题

二次函数y=ax2+bx+c(a≠0),配方后可变为标准形式y=a(x+b/2a)2+4ac-b2/4a(a≠0),由此可以很快求出y的最值.初中数学中,有不少的最值问题,常常可以转化为二次函数来求解.下面通过几个例子来介绍几种求解方法. 一、主元代入法例1(2001年安庆市竞赛题)已知x、     

时间分辨光子计数系统的研究和应用

对由SPCM-AQR-14和MCS组成的时间分辨光子计数系统进行了研究,分析了SPCM和MCS的工作原理及主要特性.利用该系统对磷光物质和洋葱的延迟发光进行了测量,对它们的光子计数率曲线进行拟合,发现其光强衰减符合双曲线规律.     

同步辐射小角x射线散射方法研究由城市固体垃圾制备的活性炭

应用同步辐射小角x射线散射方法研究了由不同城市固体垃圾制备而成的活性炭的孔结构-结果发现利用木类、纸张、塑料这三类典型垃圾组分的热解残余物为原料制备中孔发达的活性炭是可行的-活性炭的形态和结构取决于垃圾热解残余物的组分和热解程度等因素- 关键词： 小角x射线散射 活性炭 分形维数 平均孔径     

Impact Responses of Prismatic Lithium-Ion Battery Based on the Membrane Factor Method北大核心CSCD

Aimed at the internal short circuit problem due to large deformation of the prismatic lithium-ion battery cell under impact loadings, a simplified battery model was first established. Then the motion equations of velocity and displacement based on the membrane factor method were proposed. With the effects of the face-sheet thickness and the densification region on the normalized final deflection, impact response characteristics of prismatic battery cells were investigated in detail. The results show that, the improved motion equations involving the membrane factor can reflect the dynamic response mechanisms of the prismatic battery cell under impact loadings, and the large deflection under high-speed impact can be predicted. With the increase of the face-sheet thickness, the deflection of the battery cell’s lower part decreases obviously. However, the densification region expands with the face-sheet thickness. The deflection and the densification region of the cell’s lower part both increase with the inner core density of the battery. This proposed impact model provides a theoretical guidance for the multi-functional integrated dynamic design of prismatic battery cells. © 2022 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.     

树脂吸附法分离纯化桑叶总黄酮——（Ⅱ）动态法分离桑叶总黄酮的工艺条件及数学模拟

考察了H103树脂固定床吸附分离桑叶总黄酮的工艺参数,并对吸附工艺进行了数学模拟和比较.实验结果表明,H103树脂固定床吸附分离桑叶总黄酮在上样浓度6.05mg/mL时,以9mL/min上样,吸附完全后用60%乙醇以4.5mL/min流速洗脱,桑叶总黄酮产品的回收率为90.57%,纯度为76.33%,建立的固定床吸附模型为预测固定床吸附桑叶水提液中桑叶黄酮达到穿透点时间及固定床吸附容量提供了准确、快捷的方法.