Proof of Riemann Conjecture Based on Contradiction between Xi-Function and Its Product Expression

Riemann proved three results: analytically continue ζ(s) over the whole complex plane s =σ + it with a pole s =1;(Theorem A) functional equation ξ(t) = G(s0)ζ (s0), s0 =1/2 + it and (Theorem B) product expression ξ1(t) by all roots of ξ(t). He stated Riemann conjecture (RC): All roots of ξ (t) are real. We find a mistake of Riemann: he used the same notation ξ(t) in two theorems. Theorem B must contain complex roots;it conflicts with RC. Thus theorem B can only be used by contradiction. Our research can be completed on s0 =1/2 + it. Using all real roots rk and (true) complex roots zj = tj + iaj of ξ (z), define product expressions w(t), w(0) =ξ(0) and Q(t) > 0, Q(0) =1 respectively, so ξ1(t) = w(t)Q(t). Define infinite point-set L(ω) = {t : t ≥10 and |ζ(s0)| =ω} for small ω > 0. If ξ(t) has complex roots, then ω =ωQ(t) on L(ω). Finally in a large interval of the first module |z1|>>1, we can find many points t ∈ L(ω) to make Q(t) . This contraction proves RC. In addition, Riemann hypothesis (RH) ζ for also holds, but it cannot be proved by ζ.

On Daniel Bell's The Cultural Contradictions of Capitalism

This article makes a brief introduces to Daniel Bell's The Cultural Contradictions of Capitalism which explores how a bourgeois economy coexists with an anti-bourgeois culture. This article is comprised of four parts including the concept of culture、the disjunction of three realms(economics, politics and culture)、the cultural contradictions of capitalism and the evaluation on Daniel Bell's theory. It offers a close look into the inner relation between different spheres in the capitalist society illustrated in Bell's book, and Bell's theory in terms of cultural contradictions of capitalism will be concretely elaborated.

Rereading the Contradiction in "The Hereditary House of the Marquis of Liu"

In the biography of "The Hereditary House of the Marquis of Liu," Zhang Liang,the major character,is undoubtedly regarded as a great talent in military strategy as well as a prototype of wisdom in later Chinese novels.However,the author Sima Qian compares Zhang Liang to a woman in his concluding remarks,which greatly reflect his ambiguous attitude toward Zhang Liang.To find out the reason why Zhang Liang's portrait is more significant than his image revealed in the narrative provides readers a chance to inspect how Zhang Liang's characterization was fashioned in the biography.

Hester Prynne:Contradictions and Mother's Role

Hester Prynne,heroine of Hawthorne's The Scarlet Letter,seems idealized by the narrator,yet in her attitudes and behaviors there are some contradictions that need a further study.Her role as a mother plays a vital part in all the contradictions,bringing the figure to life from the sacred shrine made for her by the narrator.To understand the significance of Hester's mother's role in her contradictions will reveal a character more human to the reader.

Unprecedented Emergence of the World Structural Contradictions

In recent years, profound and complex transformations in the world order have emerged on the global landscape, which are marked by the following attributes. First, strategic tension between the major powers,namely China and the US, is unfolding in a more notable way than ever before. Second, conflicts between the public and private enterprises in the economic sector are deepening. Third, globalization is at the crossroad,featuring contradictions between nationalism and globalism. Last,uncertainties of the future world reflect also in the debates over conflicting concepts and ideologies.

Changes in the Features of Major Contradictions

Immediately after humanity entered the new century,the worldseems somewhat a bit turbulent because of the following events.First are the September 11 events,which were followed by U.S.militaryattacks against Afghanistan.Last year witnessed the continuity of Arab-Israel conflicts in the Middle East,and at the very beginning of the newyear,the United States dispatched warships to the Persian Gulf for a“war to topple the Saddam regime”.The Democratic People’s Republicof Korea(DPRK)suddenly declared that it has decided to withdraw fromthe Nuclear Non-proliferation Treaty just after Iraq stated that it wasdetermined to resist the United States.Whither the world in the new year?This is a question that all of the academic circles on international relationsare trying to answer.To this end,on January 9,2002,we speciallyinvited Lu Zhongwei,Research Professor and President of China Instituteof Contemporary International Relations and some other experts oninternational relations from the institute to hold a symposium with the theme“Prospect on World Trend 2003.”Now we present their discussions as anew-year gift to our readers who are always in support of our journal.Wehope this would do a bit for their mastery of international situation.

Iraq War and Principal contradictions in World Politics

Nobody denies that the Iraq war launched by America is a local war that is of global influence and beyond the anti-terror campaign. The various contentions among major world political powers before and after the war reveal that the world strategic structure that is changing since the end of the Cold War has gone through another grave impact after the 9/11 events. The paper does not want to make an

TWO PAIRS OF STRUCTURAL CONTRADICTIONS IN CHINA-US-LATIN AMERICA RELATIONS： HOW TO VIEW THEM

Before his multi-stop visit to Mexico,Argentina,Peru,Colombia and Jamaica in Latin America and the Caribbean(LAC)early February 2018,then U.S.Secretary of State Rex Tillerson released many signals for Latin America.Especially in his remarks at the University of Texas at Austin,he portrayed the presence of China and Russia in LAC as a"new

SINO-JAPANESE RELATIONS IN THE LIGHT OF MAO'S ESSAY“ON CONTRADICTION”

September 1997 marks the 25th anniversary of the normalization of diplomaticties between China and Japan. By coincidence, the 60th anniversary of thepublication of the well-known philosophical essay“On Contradiction”by the lateChairman Mao Zedong also falls in August the same year. In commemoration ofthese two significant events, with Mao’s masterpiece as his guide, the

Evolution of Principal Contradiction Facing Chinese Society and the CPC Leadership over Economic Work

Since the founding of the People’s Republic of China in 1949,the Communist Party of China(CPC)has separated China’s evolving principal social contradictions into four different stages.Based on the assessment of principal social contradictions at different points in time,the CPC enacted different economic policies.During 1949-1956,based on the recognition of class struggle as China’s principal social contradiction,the Party focused its economic policies on socialist transformation and established the foundation for the public sector of the economy.During 1956-1978,amid flip-flops in the Party’s assessment of whether class struggle or backward productive forces were the principal contradiction,China’s economic development suffered some setbacks,but the vision for building an industrial country remained unchanged,and resources were focused on developing major national industrial projects.During 1978-2019,the Party focused on economic development and reform and opening up in pursuit of the realization of grand economic development goals based on the assessment that China’s principal social contradiction was between people’s ever-growing material and cultural needs and China’s relatively backward social productive forces.In 2017,the 19th CPC National Congress made the important political assessment that China’s principal social contradiction had transformed into the contradiction between people’s ever-growing need for a better life and China’s unbalanced and inadequate development,and proposed new development concepts to lead the Chinese people on a new journey towards the second centennial goal.The most important experience of the CPC’s economic work is analyzing and solving problems based on Marxist ideology and methodology.

Research on the Countermeasures of labor-capital contradiction in enterprise from the Perspective of Mother-in-Law and Daughter-in-Law Effect

The mother-in-law and daughter-in-law effect is a widely existing contradiction effect in the family.Analyzing the causes and countermeasures of labor-capital contradiction in enterprise from the perspective of mother-in-law and daughter-in-law effect has innovative value inspired by prototype.The mother-in-law and daughter-in-law effect means that although the harmony of the family is beneficial to both mother-in-law and daughter-in-law,the unequal relationship between mother-in-law and daughter-in-law,the gradual awakening of daughter-in-law’s power consciousness,the lack of effective communication between mother-in-law and daughter-in-law,the husband’s favoritism and other reasons produce the phenomenon of“differentiated behavior”or“mutual distrust”between mother-in-law and daughter-in-law,which makes the family contradictions accumulate continuously.Through the method of literature research,this research finds that the causes of mother-in-law and daughter-in-law effect and labor-capital contradiction in enterprise are highly similar.The solution of the mother-in-law and daughter-in-law effect,which has been continuously proved in thousands of households,can be used to analyze the countermeasures and suggestions of the labor-capital contradiction in enterprise.This article analyzes the national and provincial statistical yearbooks,the strategic thinking of the ancient classics Sun Tzu’s Art of War and Sun Bin's Art of War,and modern well-known enterprises’methods of solving labor-capital contradiction in enterprise.It provides a basis for the argument of this article and focuses on analyzing and solving labor-capital contradiction in enterprise.It has the innovative value of combining ancient and modern.

Analysis of Contradiction Between Coal and Power Industry

At the beginning of 2008, the Central, East and South China suffered a rare snow and ice disaster. After the disaster, power generation and power grid enterprises faced a big problem of power coal supply.

Working for the Happiness of the People: The Scientific Analysis and Demarcation of the Principal Contradiction Facing the Chinese Society by the Communist Party of China

The report to the 19th national Congress of the Communist Party of China stated an important new definition of the principal contradiction facing Chinese society.in a century’s development,the formulation of the CPC’s major strategies,paths,guidelines,and policies is closely related to the Party’s scientific analysis and evaluation of the principal contradiction according to the development stage of Chinese society in different historical periods.This is of great significance for identifying the work focus of the Party and the State and for realizing China’s progress and development.in the course of its striving to solve the principal contradiction facing the Chinese society,the Party has always been unremittingly committed to seeking happiness for the people.from the perspective of localization of the Marxist human rights theory in China,this is the ultimate reason why the Party and the State can make great achievements in various undertakings,including the construction of human rights.

Polarized Contradiction of the Female Image Created by Cao Yu --A Case Study of Fanyi

Cao Yu is an important and well-known playwright in the modern history of Chinese literature,who shapes many vivid and lively female images in his works,all of them presenting the split personality—on the one hand,they are beautiful and honest,as good as angels;on the other hand,they are crazy and insane.This paper attempts to center on the familiar female image Fanyi to analyze the writing psyche and imagination of the writer and further reveal the deep logic and immanent contradiction of the female image as the intent tool.

China's Agricultural Development: Structural Contradictions and Policy Transition

The primary contradiction facing China's agricultural development has shifted from the previous undersupply to structural contradictions. This paper dissects these structural contradictions in terms of sectoral structure, product structure, organizational structure, technical structure, trade structure and spatial structure. Since reform and opening-up in 1978, China has followed a growth-oriented agricultural policy to ensure steady yield increase. Indeed, this policy has effectively increased the output of agricultural produce, safeguarded national food security, and enhanced agricultural production capabilities. However, China's agriculture is yet to become internationally competitive, increase efficiency and farmers' income, and improve the quality and safety of agricultural produce. As China's agricultural development enters into a new stage of comprehensive transition and upgrade, it is essential for China's agricultural policy to shift from the progrowth policy characterized by the dependence on chemical fertilizers and pesticides to an efficiency and quality-oriented policy that pursues green agriculture.

Systematic Contradiction Between Heritage Conservation and Tourism Development: Cleaning the Temple and Cemetery of Confucius and the Kong Family Mansion in Qufu

In recent years, with the rapid development of the tourist industry, world heritage sites become more and more popular among tourists from home and abroad. Therefore, heritage tourism has become a new hotspot. However, while world heri- tage sites are making obvious economic benefit from tourism, they also bring various problems and contradictions, of which the most troublesome one is the contradiction between heritage con- servation and tourism development. To discuss and analyze the root and the essence of the above contradiction and find a way to bring about harmony between them is an important program faced by our national heritage management practice and academic re- search. Based on the case of cleaning the Temple and Cemetery of Confucius and the Kong Family Mansion in Qufu, this paper ana- lyzes the reasons why our national world cultural heritage sites bring about the above contradiction in the process of tourism development and points out that the improper system and stake- holders’ benefit imbroglio are respectively the root and the es- sence of the contraction. Then, it also puts forward corresponding solutions.

Major Contradictions in China's Current Employment Sector and Countermeasures

In the six decades since the founding of the People’s Republic,especially in the more than three decades since the reform andopening-up,China has achieved remarkable success in its employment sector.However,there are still many contradictionsstanding in the way of an employment enlargement-oriented development strategy,for example,contradictions betweeneconomic growth and employment growth,between the heavy industry-oriented national economy and employmentenlargement,between rural labor transfer and the mounting urban employment pressure and between 'hard to find jobs'and 'shortage of skilled workers'.Only when we carefully analyze underlying reasons for these contradictions can wedevelop corrective employment expansion strategies.