上下极限视角下的斯托尔茨公式和罗必塔法则

利用上下极限,可对斯托尔茨公式和罗必塔法则进行简单的推广,并提供更为简明的证明.另一方面,本文也对多重极限和累次极限之间的关系给出了一个更好的描述.     

一道硕士研究生入学试题的研究

探讨了2017年全国硕士研究生入学统一考试一道试题的6种解法;给出了一类含参量变限积分的求导结果以及该试题的第7种解法;设计了两个新题目.     

同科电子光谱项的计算机C语言程序设计

利用计算机C语言编程实现了多个同科电子的删除法则,设计出了n个自旋方向相同的同科电子“等效排列”的C语言程序算法,给出了具体程序并用实例验证了其正确性.     

Application of a fourth-order relaxation scheme to hyperbolic systems of conservation laws

A fourth-order relaxation scheme is derived and applied to hyperbolic systems of conservation laws in one and two space dimensions. The scheme is based on a fourth-order central weighted essentially nonoscillatory (CWENO) reconstruction for one-dimensional cases, which is generalized to two-dimensional cases by the dimension-by-dimension approach. The large stability domain Runge-Kutta-type solver ROCK4 is used for time integration. The resulting method requires neither the use of Riemann solvers nor the computation of Jacobians and therefore it enjoys the main advantage of the relaxation schemes. The high accuracy and high-resolution properties of the present method are demonstrated in one- and two-dimensional numerical experiments. The project supported by the National Natural Science Foundation of China (60134010) The English text was polished by Yunming Chen.     

青年数学教师的"充水"法则

初做数学教师的人 ,几乎都被告诫过“若想给学生一杯水 ,教师先得有一桶水” .许多青年教师都曾尽力去研习数学 .后来并未见到预期的效力 ,就会觉得“‘一桶水’的法则 ,无济于教育实践” .事实并非如此 .关键在于如何理解那“一桶水”的内涵 .在这一桶水中 ,近现代数学理论固然重要 ,但远非事情的全部 .在基础教育阶段 ,数以万计的学生在学习数学课 ,课程设置的目的 ,并不是要把他们都培养成职业数学家 ;而是要他们获得作为一种文化的数学素养 ,从课程中获得两种教益 :有实用价值的数学知识内容和更有广泛意义的数学思想和方法 .这就是数学…     

参数函数和复合函数高阶导数的计算

用函数的链式法则和乘积公式给出了参数函数和复合函数的高阶导数的计算公式．     

Evidence of Strong Pion Fluctuation in Jet-Like Events in ^32S-AgBr Interactions

We presents the analysis of ring-like and jet-like events in terms of Scaled Factorial Moments （SFMs） in one dimensional space up to the sixth order of moments for ^32S-AgBr interactions at 200 AGeV energy. The study reveals a power law growth of SFMs with decreasing bin width of the azimuthal distribution in the ^32S- AgBr data at 200 AGeV in both the cases. It is seen that strong intermittent pattern is revealed only in jet-like events.     

洛必达(L’Hospital)法则在求[1~∞]型极限中的应用

给出了求不定式[1∞]型极限的一个定理,同时通过历年考研试题的应用,说明此定理是有效的、简单的.     

与中学生谈力学量纲

 物理量分为基本量和导出量,每个导出量可以用基本量的某种组合表示.表示一个物理量由哪些基本量组成和怎样组成的式子叫做这个物理量的量纲式.由于所有的力学量都可以由长度、质量、时间这三个基本量（量纲式分别为[L]、[M]、[T]）组成,那么一个力学量的量纲式的一般形式就是:[Q]=L^αM^βT^γ.例如:速度的量纲式是[v]=LT^-1,力的量纲式是[F]=LMT^-2.万有引力恒量的量纲式是[G]=L³M^-1T^-2.     

Synthesis, Structure and Adsorption of AIPO-21 Prepared by Cotemplate Method

The phase of AIPO‐21 was hydrothermally synthesized in the reactant system of diethylamine‐RB‐Al₂O₃‐O₅‐H₂O‐C₂H₅OH. The crystals of AIPO‐21 growing in this system crystallizes in monoclinic system, space group P2₁/n with a = 0.8542(4) nm, b = 1.7635(8) nm, c = 0.9082(4) nm, β = 108.234(5)°, V = 1.2993(10) nm³, Z = 4, and the formula is [C₄H₁₀ NH₂]⁺ = [Al₃P₃O₁₂ (OH)]^?. The structure is resolved by the direct method and refined to R1 = 0.0767 and wR₂ = 0.1627 based on 1719 observed reflections with I > 2.0σ (I). An asymmetric unit consists of three PO₄ tetrahedra, one AIO₄ tetrahedron and two AIO₅ trigonal bipyramids. The framework is composed of 3‐D uniform channels along [100], [001] and [101] with eight‐membered oxygen ring windows. The powder sample of the MS was investigated with powder XRD, TG/DTG/DTA and the adsorption of water, methanol, n‐hexane, ethylene, and ethane. The specific property for sieving molecules was observed on the adsorption isotherms, and proves the result of the single crystal structural analysis.