一类包含高阶Bernoulli数和高阶Euler数的积分计算公式

给出了一类包含高阶Bernoulli数和高阶Euler数的积分计算公式．     

《西游记》“归一”论

《西游记》于诸数理最重“归一”,而“一”以贯之。其“归一”之旨表现为两个层次,即“三教归一”归于佛,尤归于“一藏之数”;“万法……归一”归于“一心”。其意在表明世人学佛,“卷尽五千四十八”,其要在归于“一心”。而“一心”之境非他,乃石猴本为“心猿（源）”而“法名叫做孙悟空”是也。因此,“悟空”才是全书“归一”之本旨,而诚如黄周星评曰：“《西游记》一成佛之书也”。     

采样点数量对黄河三角洲垦利县土壤盐分空间变异的影响

对土壤盐渍化的监测是合理利用盐渍化土壤的前提,采样点数量不同会影响土壤盐分空间变异的表达。本文以黄河三角洲典型地区垦利县为研究区,采用地统计学方法,抽取了12个样本子集,探讨不同的采样点数量对土壤盐分空间变异表达的影响。研究结果表明,黄河三角洲地区土壤盐分变异程度较大,随着样点数量的减少,对于细节的刻画能力也在减弱,样点数量过小时（<150个）,不能很好地表达空间变异结构。不同采样点数量下的预测值均方根误差（RMSE）随样本量的增大而减少,说明克里格插值的准确度随样本量的减少呈现降低趋势,平均误差（ME）则随样本量的减小而没有明显的趋势。综合ME、RMSE和ASE 3个指标可以得出,满足黄河三角洲地区县域尺度土壤盐分空间变异表达的土壤样点数量不能小于150个,相当于每1000km²需采集107个样点。     

等幂和多项式及应用

利用递归方法引入等幂和多项式,运用组合数学相关知识,以函数的泰勒级数为工具,用等幂和多项式解决了等差数列及自然数等幂和问题.     

Examining the relation between whole numbers and fractions: A meta-analytic structural equation modeling approach

With a Meta-Analytic Structural Equation Modeling approach, we investigated the role of whole-number knowledge on fraction performance, accounting for domain-general skills, age, and mathematics-difficulty status. We conducted analyses based on 6,096 students from 39 independent samples within 29 studies. Findings suggested conceptual whole-number knowledge emerged as a significant and stable predictor of conceptual and procedural fraction knowledge. More importantly, students experiencing mathematics difficulty demonstrated a distinct pattern of performance compared to typically-achieving students, including: conceptual whole-number knowledge had lesser impacts on conceptual fraction knowledge; procedural whole-number knowledge had greater impacts on procedural fraction knowledge; and working memory and fluid intelligence made fewer contributions to fraction knowledge.     

矩阵与Fibonacci数

Fibonacci数是一个古老的问题,它有很多有趣的性质,在组合数学中这些性质是从数列递推公式中得出的,本文用矩阵这个工具导出了这些性质。     

Theresa A. Strottman Responds

No abstract available for this article.