Integrated Groups and Smooth Distribution Groups

In this paper, we prove directly that α-times integrated groups define algebra homomorphisms. We also give a theorem of equivalence between smooth distribution groups and α-times integrated groups.     

微积分学在天体力学上的应用

本文给出了开普勒三大定律与万有引力定律的相互推导过程,以及三个宇宙速度的计算。     

浅谈微积分学教学质量的提高

从课堂教学，课后的交流与反馈，采用典型训练法三个方面谈如何提高微积分学的教学质量。     

主观题客观化的思考与实践 ——以《微积分学》课程为例

以科学学习原则、程序教学法原则和《微积分学》课程混合教学实践中测试题的设计实践为基础,给出了主观题客观化设计的基本原则,以及主观题客观化的四种思想方法及教学案例.     

微积分学中的哲学思想

从哲学的观点出发,分析导数概念中的量变和与质变,微分与积分的辨证关系,指出了微积分学中的美学价值,探析了微积分学中的哲学文化内涵,以培养学生的科学人文精神.     

White Noise Approach Construction of Ф4 4 Quantum to The Fields （Ⅱ）

In this paper a complete proof for the existence of generalized operators satisfying abstract 02 dynamical equations of quantum motions δ^2/δt^2Ф（t, x） ＋ （ △- m^2）Ф（t, x） = -λ ：Ф^3（t, x）, subject to a suitable initial condition, is given under the framework of white noise analysis. Also some important commutation relations related to Ф44 quantum fields are discussed and proved in detail.     

CALCULUS ON CANTOR TRIADIC SET （I）——DERIVATIVE

For real-valued functions defined on Cantor triadic ,set. a derivative with corresponding formula of Newton-Leihniz‘s type is given In particular, for the self-simltar functions and alter-nately jumping functions defined in this paper, their derivative and exceptional sets are studied ac-curately by using ergodic theory on Е2 and Duffin-Scbaeffer‘s theorem coneerning metric diophan-tine approximation. In addition, Haar basis of L2(Е2) is constructed and Flaar expansion of stan-drd self-similar function is given.