椭圆曲线y~2=(x+2)(x~2-2x+43)的整数点

利用初等方法证明了椭圆曲线y~2=(x+2)(x~2-2x+43)仅有整数点(x,y)=(-2,0).     

Valley-dependent transport in strain engineering graphene heterojunctions

We study the effect of strain on band structure and valley-dependent transport properties of graphene heterojunctions. It is found that valley-dependent separation of electrons can be achieved by utilizing strain and on-site energies. In the presence of strain, the values of transmission can be effectively adjusted by changing the strengths of the strain, while the transport angle basically keeps unchanged. When an extra on-site energy is simultaneously applied to the central scattering region, not only are the electrons of valleys K and K' separated into two distinct transmission lobes in opposite transverse directions, but the transport angles of two valleys can be significantly changed. Therefore, one can realize an effective modulation of valley-dependent transport by changing the strength and stretch angle of the strain and on-site energies, which can be exploited for graphene-based valleytronics devices.     

关于丢番图方程x~3±1=3·2~αpD_1y~2

设D_1=multiply from i=1 to s q_i(s=1或2),q_i≡-1(mod6)(i=1,2,…,s)是彼此不同的奇素数,p≡1(mod6)为奇素数.运用初等方法讨论了丢番图方程x~3±1=3·2~αpD_1y~2(α=0或1)的正整数解的情况.     

基于一种新的分解-集成模型的我国猪肉年度需求量预测研究

根据我国猪肉消费量的特点,建立了一个新的我国猪肉年度消费需求量预测的分解-集成模型.首先,为了预测我国猪肉消费需求量,根据全国猪肉农村和城市猪肉消费量的不同特点,将我国猪肉消费需求量分解农村和城市猪肉消费量.其次,根据GANN和WNN时间序列模型,建立了一个综合集成预测模型,分别对我国农村和城市的猪肉消费量进行了预测.最后,将农村和城市猪肉需求量的预测结果进行集成,得到全国猪肉需求量.为了验证所提出方法的有效性,将其与其他常用预测方法进行了对比,实证研究结果表明,提出的集成预测模型在我国全国猪肉消费需求量预测上取得了较好的效果.     

椭圆曲线y~2=(x-6)(x~2+6x+19)的正整数点

利用初等方法证明了椭圆曲线y~2=(x-6)(x~2+6x+19)无正整数点.