关于Pell方程qx2-（qn±6）y2=±1（q是素数）

运用Legendre符号和同余的性质给出了形如qx2-（qn±6）y2=±1（q是素数）型Pell方程无正整数解的4个结论.这些结论对研究狭义Pell方程x2-Dy2=±1（D是非平方的正整数）起了重要作用.     

谐振子量子制冷循环性能的优化分析

基于量子主方程和半群逼近研究以谐振子系统为工质，由两个等温和两个等谐振子数过程组成的不可逆谐振子量子制冷循环的一般性能特性，导出了制冷循环的制冷系数、制冷率、输入功和熵产率等重要参数的一般表达式．并详细讨论了高温极限下谐振子量子制冷循环的优化性能，导出了最大制冷率和相应的制冷系数．所得结论可为非常规工质低温制冷循环的优化设计提供理论基础．     

Self‐efficacy,school resources,job stressors and burnout among Spanish primary and secondary school teachers: a structural equation approach

This study examines the relationship between school resources, teacher self‐efficacy, potential multi‐level stressors and teacher burnout using structural equation modelling. The causal structure for primary and secondary school teachers was also examined. The sample was composed of 724 primary and secondary Spanish school teachers. The changes occurring in the Spanish teacher role in the last decade were taken into account to select job stressors. The results obtained revealed that external (school support resources) and internal (management classroom self‐efficacy and instructional self‐efficacy) coping resources have a negative and significant effect on job stressors. In turn, job stressors have a positive and significant effect on teachers’ burnout considering it as both a unidimensional and multidimensional construct. Furthermore, the hypothesised structure of burnout dimensions revealed that emotional exhaustion plays a key role in explaining Spanish school teachers’ burnout. Practical implications of these findings are discussed.     

关于借贷记帐法原理的深入剖析

通过对借贷记帐法原理的深入阐述,丰富和完善了借贷记帐法原理的相关内容,使其更加充实和具有说服力,对初学者的学习和实战操作都具有极强的指导意义.     

对流占优扩散方程的几个特征差分格式

文章研究了一类线性对流占优扩散方程的初边值问题.采用了A.A.Samarskii构造差分格式的思想,对方程的扩散项进行修正,构造了线性对流占优扩散方程的显、隐式特征差分格式和C-N格式,三个格式的收敛阶均为O( h2),利用Fourier方法分析论证了其稳定性和收敛性.     

C.-R.方程的推广及其应用

利用多元函数方向导数的概念与矩阵变换等方法推广了C.-R.方程,给出了解析函数f（z）=u（x,y）＋iv（x,y）的实部与虚部关于任意两个方向v1,v2的方向导数（偏du/偏dv1,偏dv/偏dv1）与（偏du/偏dv2,偏dv/偏dv2）之间的关系.利用所得结果对复变函数可微的一个充要条件做了改进.相应的结论对解析函数也成立.     

稀土复合固体超强酸SO_4~(2-)/TiO_2/Ce~(4+)催化合成乙酸环己酯及动力学研究

研究了以稀土复合固体超强酸SO42-/TiO2/Ce4+为催化剂合成乙酸环己酯的反应,在反应温度分别为100℃、110℃、120℃下,测出酯化反应的动力学参数,建立了动力学方程,并与无催化剂作用下合成乙酸环己酯反应的活化能及动力学方程进行了比较.实验结果表明,该催化酯化反应的优化合成条件是:乙酸用量为0.262 1mol时,醇酸摩尔比为1.5:1,催化剂用量为1.0g,带水剂环己烷的加入量为12mL.稀土复合固体超强酸SO42-/TiO2/Ce4+可使反应的活化能明显降低,是合成乙酸环己酯的有效催化剂.     

一个与Fermat问题相关的最佳线性不等式

运用三角形的Fermat问题的结论与两个条件不等式,利用导数,证明了涉及平面上任一点到三角形三顶点距离之和的一个最佳线性不等式,提出了一个相关的问题.     

幼儿科教活动中提问所存在的问题及解决策略

由于幼儿注意力容易分散,行动的目的性和预见性差,因此需要教师对幼儿教育要寓教于乐。提问是教师设疑、激趣的好方法,但是在科学教育活动中,教师的提问也有使用不当的时候,影响了幼儿学习的效果。探讨教师提问所存在的问题并提出有效的解决策略。     

Private speech in children with ADHD and their typically developing peers during problem-solving and inhibition tasks

This study compared private speech of children with ADHD and normal controls during problem solving and inhibition tasks. Thirty-two children (16 children with ADHD and 16 matched controls) aged 6–11 years participated. Consistent with previous studies, children with ADHD produced more task-irrelevant and task-relevant external private speech than control children during problem-solving tasks, but did not differ in their use of task-relevant internal private speech. During the inhibition/attention task (Continuous Performance Test-II), children with ADHD produced more task-relevant external and more task-relevant internal private speech, suggesting that they may have employed a less mature strategy to aid in self-regulation. The educational implications of the current study are that there should be an increased awareness of the developmental nature and functional significance of private speech and how private speech usage may differ in children with ADHD.