浅谈一元微积分中典型问题的化归方法

扼要论述了化归的原则及意义，从理论和实例分析讨论了一元微积分中若干典型问题化归的基本方法。     

弱电统一场中赝矢量流可以转化为引力波

生物大分子DNA、RNA和氨基酸、蛋白质中普遍存在的由共价键主要是π键构成的苯环状构象,有效地将宇宙背景中低能正、反中微子汇聚,运用上述双光子引力波产生机制,将中微子能转化为光和热,揭示了正物质世界生物大分子左旋结构与反物质世界生物大分子右旋结构稳定性的起源。     

对Bermond猜想(32)的一个注记

文章对Bermand猜想（2）加强条件后给出了证明。     

新乡市四区六县土壤田间持水量抽样调查

对新乡市四区六县（凤泉区、红旗区、卫滨区、牧野区、获嘉县、原阳县、封丘县、延津县、新乡县、长垣县）的各种土壤类型田间持水量抽样调查结果表明：1.不同质地土壤的耕层（0～20 cm）田间持水量不同,砂土田间持水量范围8.45%～11.30%;壤土田间持水量范围11.49%～26.90%;粘土田间持水量范围24.83%～32.53%;2.相同质地土壤不同层次的田间持水量也不尽相同,砂土20～40cm土层的田间持水量7.23%～9.57%,40～60 cm土层的田间持水量9.88%～10.71%;壤土0～20 cm土层的田间持水量14.84%～25.78%,40～60 cm土层的田间持水量11.49%～26.90%;粘土20～40 cm土层的田间持水量24.83%～27.80%,40～60 cm土层的田间持水量32.16%～33.12%.     

关于Gorenstein FP-内射模

R-模M称为是Gorenstein FP-内射的,如果存在一个FP-内射R-模正合列…→E1→E0→E0→E1→…,其中M=ker(E0→E1),使得对任意FP-内射模E,Hom(E,-)保持正合列正合.根据定义讨论了Gorenstein FP-内射模的性质,并且证明了若环R是左Noetherian环当且仅当每个Gor...     

均匀带电薄圆盘和薄宽圆环静电势的数值研究

用叠加原理和数值积分法,分别对均匀带电薄圆盘和薄宽圆环的静电势进行数值研究.绘制了电势的空间分布图及其等势线图.     

自然数幂和通项公式证明的新方法

针对自然数幂和问题,利用多项式和矩阵理论,得到了一种计算自然数幂和通项公式的方法,给出了该方法的具体推导过程．此方法的优点是将自然数幂和问题转换为了线性方程组求解问题,更浅显易懂．     

Hilbert‘s Sixteenth Problem and Its Generalization

This paper deals with Hilbert‘s 16th problem and its generalizations.The configurations of all closed branches of an algebraic curve of degreee n are discussed.The maximum number of sheets for an algebraic equation of degree n and the maximum number of limit cycles for a planar algebraic autonomous system are achieved.The author also considers different generalizations and some related problems.     

关于Sikkema—Bernstein多项式导数的迭代极限

本首先给出了Sikkema-Bernstein多项式的迭代极限及误差估计；然后构造一个整系数Sikkema-Bernstein型多项式，并给出了该多项式的导数逼近导函数是有界变差时的收敛阶估计式。     

通过带有磁性杂质介观环传输的Aharonov-Casher振荡

Aharonov-Casher oscillasions of transmission through a mesoscopic ring with a magnetic impurity is investigated.Both spin-dependent transmission and reflection coefficients of spin-state electrons at zero-temperature are calculated as a function of the textured electric fields and its title angle in the present of spin-flipper scattering.It is found that the spin-exchange interaction can destroy intermittently periodic oscillations of spin-up transmission and reflection coefficients within some small ranges in the adiabatic region of quantum phase.However spin-down transmission and reflection coefficients appear periodic AC oscillations.The calculated results manifest that spindown transmission and reflection coefficients have the same perfect oscillation patterns.In the nonadiabatic region, the behavior of the anomalous AC oscillations are depedent on the difference between the tilt angle of spin and that of texture electric field.