New necessary conditions for (negative) Latin square type partial difference sets in abelian groups

Partial difference sets (for short, PDSs) with parameters ($n^2$, $r(n-\epsilon)$, $\epsilon n+r^2-3\epsilon r$, $r^2-\epsilon r$) are called Latin square type (respectively negative Latin square type) PDSs if $\epsilon=1$ (respectively $\epsilon=-1$). In this paper, we will give restrictions on the parameter $r$ of a (negative) Latin square type partial difference set in an abelian group of non-prime power order. As far as we know no previous general restrictions on $r$ were known. Our restrictions are particularly useful when $a$ is much larger than $b$. As an application, we show that if there exists an abelian negative Latin square type PDS with parameter set $(9p^{4s}, r(3p^{2s}+1),-3p^{2s}+r^2+3r,r^2+r)$, $1 \le r \le \frac{3p^{2s}-1}{2}$, $p\equiv 1 \pmod 4$ a prime number and $s$ is an odd positive integer, then there are at most three possible values for $r$. For two of these three $r$ values, J. Polhill gave constructions in 2009

Skew Hadamard difference sets from the Ree-Tits slice symplectic spreads in PG(3,3^{2h+1})

Using a class of permutation polynomials of $F_{3^{2h+1}}$ obtained from the Ree-Tits symplectic spreads in $PG(3,3^{2h+1})$, we construct a family of skew Hadamard difference sets in the additive group of $F_{3^{2h+1}}$. With the help of a computer, we show that these skew Hadamard difference sets are new when $h=2$ and $h=3$. We conjecture that they are always new when $h>3$. Furthermore, we present a variation of the classical construction of the twin prime power difference sets, and show that inequivalent skew Hadamard difference sets lead to inequivalent difference sets with twin prime power parameters.Comment: 18 page

Proofs of two conjectures on ternary weakly regular bent functions

We study ternary monomial functions of the form f(x)=\Tr_n(ax^d), where x\in \Ff_{3^n} and \Tr_n: \Ff_{3^n}\to \Ff_3 is the absolute trace function. Using a lemma of Hou \cite{hou}, Stickelberger's theorem on Gauss sums, and certain ternary weight inequalities, we show that certain ternary monomial functions arising from \cite{hk1} are weakly regular bent, settling a conjecture of Helleseth and Kholosha \cite{hk1}. We also prove that the Coulter-Matthews bent functions are weakly regular.Comment: 20 page

Tissue-specific alternative splicing and expression of ATP1B2 gene

The Na+-K+-ATPase is an essential transport enzyme expressed in all animal tissues, where it generates ion gradients to maintain membrane potential and drive the transport of other solutes. It also balances metabolism and body temperature. In this study, the characterization of three novel bovine ATP1B2 splice variants, designated as ATP1B2-AS1, ATP1B2-AS2, and ATP1B2-AS3, is discussed. All three novel splice isoforms were derived from a complete transcript (ATP1B2-complete) by alternative splicing. The pattern of splicing to produce the ATP1B2-AS1 and ATP1B2-AS2 isoforms was intron retention; these isoforms were found in liver, kidney, muscle and breast tissues. For the ATP1B2-AS3 isoform, splicing was by exon inclusion and this isoform was only found in muscle tissue. As demonstrated by real-time polymerase chain reaction, the isoforms were all expressed at significantly lower levels than the complete ATP1B2 gene transcript in all the tissues studied. After heat-stress, the expression levels of the different transcripts were lower in different tissues; however, the expression of the ATP1B2-complete transcript increased in heart and lung tissues. The results of this research provide some useful information for further studies into the function of the bovine ATP1B2 gene. Alternative splicing (AS) is recognized as the major contributor to protein diversity from limited gene pool. ATP1B2-AS2 was the splice of intron retention found from ATP1B2 in liver, kidney, muscle and breast tissues. In the study, ATP1B2-AS2 showed that many of the amino acid residues were in an unfavorable energy environment. It is interesting to speculate that this may be the perfect transcript to respond to heat-stress. So, AS may become the appropriate pathway to tackle heat-stress and reduce the economic losses in cows.Key words: ATP1B2 gene, alternative splicing, alternative splicing mechanism

Chinese Stock Market Response To COVID-19: An Example of An Event Study Method

This thesis analyses the response of the Chinese stock market and eight sector-specific indices to the coronavirus disease 2019 in China. This research adopts an event study method, using the day of the Wuhan lockdown as the event date, (-130, -10) as the estimated window period and (0, 47) as the event window. The Shanghai Stock Exchange Composite Index, Consumer Staples, Emerging Industries, Energy, Environmental Protection, Healthcare, Financials, Telecommunications, and Transportation Services sector indices' abnormal returns and cumulative abnormal returns are calculated during the event window, and their statistical significance is determined based on t-values. The findings show that the Shanghai Stock Exchange Composite Index and sector indices exhibit strong negative reactions on the event date, but as the event progressed, the performance of the reactions is inconsistent across sectors, with some sectors showing positive reactions at different times. Overall, the healthcare and telecommunications sectors performed better during the lockdown period. In short, the positive reaction of the Chinese equity market is attributed to the rapid response of the Chinese government, which plays a positive role in addressing the pandemic

现代三大对立经济学流派的伦理对立性研究

Abstract in Chinese: 马克思主义经济学、凯恩斯主义经济学，新自由主义经济学是现代三大对立经济学流派。马克思、凯恩斯、哈耶克与弗里德曼是这些流派的经典作家。从经典作家的经典论述看，新自由主义与凯恩斯主义经济学实际上均以财富最大化为研究宗旨，两者的研究宗旨均有欠人道。马克思主义经济学始终强调财富增长目的应服从人的全面发展的人道目的。其研究宗旨的人道性是对所有西方经济学的超越。对自由极为推崇的新自由主义经济学回避了对真正的自由问题：谁之自由，何种自由的回答。马克思主义经济学研究的根本目的是为了实现劳动人民的利益。凯恩斯主义经济学以维护资本主义制度为根本任务。新自由主义经济学的自由论实质是一种不干涉个体经济主体自由的消极自由论。凯恩斯主义经济学强调由政府承担资产阶级积极自由带来的风险，从而保障其积极自由。马克思主义经济学自由论的逻辑结论意味：人类实质自由发展是计划经济实现的真实基础。Abstract in English: Marxist economics, Keynesian economics and neoliberalism economics are three modern schools of economic thought, where Marx, Keynesian, Hayek and Freedman are among the most prominent writers. The conflict of Marxist economics and the other two theories is that the purpose of Marxist economics is to serve the working public, while the other two theories is to maintain capitalist regeme. Marxist economists agree that the wealth growth should accord with Man’s overall devel-opment. While both neoliberalism economics and Keynesian economics regard wealth maximation as their common research purpose whithout regard to humanism. [pp. 239-240

市场经济物化取向与人性的异质发展

Abstract in Chinese: 市场经济活动具有追求物质利益和经济效益的特性，如果人类社会对物质经济不注重调控任其市场化单向发展，把人当作“经济人”理解，任其追逐物利而不重其精神发展，人在市场经济社会发展中就易丧失属人的全面本质。而伴随这种丧失而来的不仅是人性的异质发展，还有社会的精神困顿和危机。市场经济社会应在全面发展的道德应然理性把握下，发展物质文明的同时，也发展精神文明，创造极大经济财富的同时，也注重建设公正合理的社会制度文明，注重人的全面发展和人本质的全面实现，最终实现人的物质需求与精神需求的统一，个人利益与他人利益和社会利益的统一，克服市场经济具有的物质财富追求单向发展和人性的异质发展，使市场经济社会“五位一体”协调发展，使人的社会本质全面实现。Abstract in English: the character of market economics is to make profits. If we human being cannot control our profit orientation with our spiritual de-velopment, we will lost our comprehensive nature, without which we will face the heterogeneous development of human nature and the social spiritual hardship and crisis. Therefore, in an economical society, we should develop both material civilization and spiritual civilization, fo-cusing on the construction of a just social system civilization during the course of creating great economic wealth so that we can realize the comprehensive nature of human being and also realize the unity of mate-rial needs and spiritual needs, and the unity of self-interests and social interests. [pp.133-134