运用高等数学知识证明不等式的探讨

探讨灵活运用函数的单调性、极值、凸函数、中值定理、柯西一施瓦兹不等式等高等数学知识对不等式问题进行分析、构造与转化,通过实例给出了用高等数学知识证明有关不等式的方法.     

谈三次函数的分析性质在高考中的应用

新课改使高考数学试题发生很大变化,考题内容在不断创新。分析近年来的高考教学试题．涉及到三次函数几乎每年都有。因此,对高级中学课本中的三次函数作深入探讨和研究,并结合对考题实例的分析,引导学生掌握解决三次函数的基本方法,在高考中获取好成绩大有益处。     

薛定谔方程的U（1）对称性与连续方程

通过量子力学的场论表述指出：薛定谔方程U（1）对称性的守恒流方程是连续方程,守恒荷是全空间几率,量子力学中的几率守恒是薛定谔方程的结果。     

当前保定市金融机构存差现象分析

近年来保定市金融机构存差规模呈扩大趋势,存贷比不断下降。造成保定市金融机构存差不断扩大的主要原因是存款的刚性增长、有效信贷投入不足以及金融生态环境不佳等因素。要解决这些问题,需要从大力发展保定市经济、优化信贷资产结构、发展有序的资本市场体系以及优化金融生态环境等方面下工夫。     

Twist-driven separation of p-type and n-type dopants in single-crystalline nanowires

The distribution of dopants significantly influences the properties of semiconductors, yet effective modulation and separation of p-type and n-type dopants in homogeneous materials remain challenging, especially for nanostructures. Employing a bond orbital model with supportive atomistic simulations, we show that axial twisting can substantially modulate the radial distribution of dopants in Si nanowires (NWs) such that dopants of smaller sizes than the host atom prefer atomic sites near the NW core, while dopants of larger sizes are prone to staying adjacent to the NW surface. We attribute such distinct behaviors to the twist-induced inhomogeneous shear strain in NW. With this, our investigation on codoping pairs further reveals that with proper choices of codoping pairs, e.g. B and Sb, n-type and p-type dopants can be well separated along the NW radial dimension. Our findings suggest that twisting may lead to realizations of p–n junction configuration and modulation doping in single-crystalline NWs.     

L-凸空间中的截口定理及其应用

将KyFan截口定理推广到L-凸空间,作为应用,在L-凸空间上进一步推广了Browder不动点定理,并研究了向量值函数的极大极小值,极大极小不等式以及鞍点问题。     

Phase factor sequences algorithm in partial transmit sequence

Partial transmit sequence(PTS)is a promising technique for peak-to-average power ratio(PAPR)reduction in orthogonal frequency division multiplexing(OFDM).While in optimal PTS,an exhaustive search for all combinations of phase factor sequences is required,this results in huge computation.In this paper,by introducing the orthogonal design,a phase factor sequences algorithm is proposed.The algorithm uses orthogonal table to gencrate phase factor sequences,and the regular PAPR computation result is then followed by the parameter estimation.The simulation result shows that the proposed algorithm reduces the computation notably and obtains a good PAPR performance approaching the optimal PTS.     

注浆混凝土桩在杭千高速公路路基处理中的应用

注浆混凝土桩是预填骨料压浆混凝土桩,它是近几年新开发的一种桩型.本文通过注浆混凝土桩在杭千高速软弱地基中的应用,具体讨论了该桩的设计理论和施工工艺,着重分析了设计施工中的关键-砂浆配比问题,并初步探讨了注浆混凝土桩施工过程中易发问题及其处理措施,以期为这种桩的推广应用提供借鉴作用.     

温度对化学反应速度、平衡与转化率的影响

从热力学和动力学两方面统一起来讨论温度对化学反应速度和化学平衡的影响。     

Controllability of mixed Volterra–Fredholm-type integro-differential inclusions in Banach spaces

The paper establishes a sufficient condition for the controllability of semilinear mixed Volterra–Fredholm-type integro-differential inclusions in Banach spaces. We use Bohnenblust–Karlin's fixed point theorem combined with a strongly continuous operator semigroup. Our main condition (A5) only depends upon the local properties of multivalued map on a bounded set. An example is also given to illustrate our main results.