高校网络群体性事件舆情演化规律初探——基于多项式拟合的定量分析

高校大学生群体由于文化素质高、思维活跃、关心社会、思想不够成熟等,在网络敏感事件的诱使下容易在网络上形成一些过激语言和行动,从而形成一些大规模的高校网络群体性事件,给社会造成了巨大的影响力。因此,有必要清楚地了解各类高校网络群体性事件网络舆情的演化规律,用定量分析的方法进行科学的论证和预测。本文通过搜集5个典型的高校网络群体事件舆情演化的历史数据,建立了基于多项式拟合的舆情演化规律模型,得到了各类高校网络群体性事件舆情演化的具体规律,为科学预测和及时应对高校网络群体性事件起到一定的借鉴作用。     

三次Hermite插值的凸性分析

本文对分段三次多项式的凸性进行了详细的分析,并给出了一种保凸插值算法.     

特征多项式的降阶定理及应用

研究特征多项式的降阶定理以及它在高阶矩阵方面的应用。     

互素多项式在线性变换下的维数特征

给出了一类线性变换多项式的维数特征定理,并通过将该定理应用于矩阵多项式的秩问题,获得或推广了现行相关文献中的许多结果。     

四元六次对称多项式不等式探讨

对四元六次对称多项式不等式的分拆进行了初步探讨；证明了若干拆分基不等式和含参不等式；最后提出了若干问题。     

Influence of regression model and initial intensity of an incremental test on the relationship between the lactate threshold estimated by the maximal-deviation method and running performance

Abstract

This study investigated the influence of the regression model and initial intensity during an incremental test on the relationship between the lactate threshold estimated by the maximal-deviation method and performance in elite-standard runners. Twenty-three well-trained runners completed a discontinuous incremental running test on a treadmill. Speed started at 9 km · h^?1 and increased by 1.5 km · h^?1 every 4 min until exhaustion, with a minute of recovery for blood collection. Lactate–speed data were fitted by exponential and polynomial models. The lactate threshold was determined for both models, using all the co-ordinates, excluding the first and excluding the first and second points. The exponential lactate threshold was greater than the polynomial equivalent in any co-ordinate condition (P < 0.001). For both models, the lactate threshold was lower when all co-ordinates were used than when the first and the first and second points were excluded (P < 0.001). 10-km race pace was correlated with both the exponential and polynomial lactate thresholds for all the co-ordinate conditions (r ≥ 0.75, P < 0.001 and r ≥ 0.56, P < 0.05, respectively). The results suggest that the exponential lactate threshold should be used instead of the polynomial equivalent since it is more strongly associated with performance and is independent of the initial intensity of the test.     

初等数学与密码学

在中学里,新学科永远是中学学生感兴趣的一点,特别是现在网络时代,密码学更是中学时代学生想去探究的学科。本文将从中学基础的因子、模、同余、最大最因数介绍起,到深层次的逆元、群、多项式逐一讨论,且立足于中学数学与信息技术两门学科,通过一个个例子把中学数学中所蕴含的密码学基础知识传输给学生,以提高了学生兴趣,并为其它学科的学习打下基础。     

保凸分段有理三次插值

构造了一种C1连续的保凸分段有理三次插值函数,所构造的插值函数分子是三次多项式,分母是线性多项式.由于函数表达式中含有调节参数,这使得插值曲线更具灵活性,适合于自由曲线的设计.     

3种插值法对重金属空间分布求解与对比分析

运用反距离加权插值法、三角线性插值法、Hermite插值对法同一地区的8种重金属的空间分布进行了插值分析,并对结果进行分析对比,发现该地区除汞适合三角线性插值法以外其他均适合反距离加权插值方法.证明了重金属分布的含量与特点决定了插值方法的选取,进一步丰富了插值法对重金属的空间分布实际应用,并结合区域的功能进行分析,使空间分布更能结合于实际应用.     

构造性方法在代数中的应用研究

选取了辗转相除法、合同变换、最小多项式、分裂域的唯一存在性等典型示例，介绍了构造性方法在代数中的应用，并将构造性方法归为数学模型方法。