A new expansion method of first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term and its application to mBBM model

Based on a first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term which is extended from a type of elliptic equation, and by converting it into a new expansion form, this paper proposes a new algebraic method to construct exact solutions for nonlinear evolution equations. Being concise and straightforward, the method is applied to modified Benjamin-Bona-Mahony （mBBM） model, and some new exact solutions to the system are obtained. The algorithm is of important significance in exploring exact solutions for other nonlinear evolution equations.

Gluon Propagator in a New Perturbative Expansion of Quantum Chromodynamics with a Non-Perturbative Background

Using a new perturbative expansion method in Quantum Chromodynamics with a non-perturbative gluon background, the gluon propagator is calculated up to the one-loop level, and renormalized in the modified minimal subtraction scheme. The resultant renormalization constants of the quantum gluon field and the gauge parameter receive a non-perturbative contribution coming from the gluon condensate <FF> besides the usual perturbative one, respectively.

Determination of the Photoperiod-Sensitive Inductive Phase in Maize with Leaf Numbers and Morphologies of Stem Apical Meristem

It is vital to determine the effective photoperiods of maize for making full use of tropical germplasm, which is the foundation for determining the effect of latitude and planting date on the development of photoperiod-sensitive maize cultivars. The objective of this study is to determine the photoperiod-sensitive inductive phase using reciprocal transfer between long- day （LD） （15 h d^-1） and short-day conditions （SD） （9 h d^-1）. For Huangzao 4 and CML288, days to tassel and pollen shedding were recorded, and stem apical meristems （SAM） were observed by a laser scanning confocal microscope. The results show that the seedlings are insensitive to photoperiod when they are very young （juvenile）. However, after this period, LD delays flowering and increases the leaf numbers below the inflorescence, and the length of the interval of the photoperiod-sensitive inductive phase is longer under LD conditions than under SD conditions. Transferred from SD to LD, plants show a sudden decrease in leaf numbers once sufficient SD has been received for flower commitment. While transferred from LD to SD, plants have a continuous increase in leaf numbers during the photoperiod sensitive inductive phase under LD conditions. At the same time, when plants are competent to flowers, the obvious morphology is the elongation of maize SAM. There is an obvious variance of the photoperiod sensitive phase under LD and SD conditions in different maize.

伍德罗·威尔逊构建世界新秩序的原因初探

伍德罗·威尔逊在其执政时期,利用一战的有利时机提出"十四点"和战后建立国际联盟的构想,妄图以此来领导世界,建立美国的世界霸主地位。威尔逊倡导建立由美国主宰的世界新秩序决非偶然,这是由一战时期美国经济的膨胀和威尔逊思想中根深蒂固的扩张主义思想决定的。

Addendum： Quark Confinement, New Cosmic Expansion and General Yang-Mills Symmetry （J. P. Hsu, Chin. Phys. C, 41（1）： 015101 （2017））

The force between a gigantic sphere with baryon galaxies exerted on an idealized point-like supernova is given by Fcbf = F1 in Eq. （40） of the original paper. We can generalized the point-like supernova to a sphere with a radius Rs and a constant mass density Ps.

“可体验的未来”:元宇宙游戏中的政治参与——基于游戏体验模式的考察

元宇宙游戏为公民政治参与提供了可能。研究发现,元宇宙游戏加速了政治参与中个人主义的兴起,扩大了青少年群体政治参与的范围,消解了政治接触行为的严肃性,对既有政治主体的利益产生影响。在实现政治参与过程中,元宇宙游戏先是通过身份识别开展“征兵仪式”,再利用“货币贿赂”集结政治参与行动,最后借助“位置倍增”形成新的政治扩张主义。在代码的遮蔽下,元宇宙游戏的运行逻辑削弱了游戏规则之外的个人意志,使得玩家的一切行为都可能向元宇宙所预设的政治路径和目的靠拢。与此同时,不合理的规则被游戏的娱乐性掩盖,元宇宙规则产生了结构性特权和结构性压迫。玩家看似变为“无身份的世界公民”,却在事实上成为被“代码权力”形塑的“液态化的公民”。