900 resultados para POLYNOMIAL IDENTITIES


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This paper focuses on the majority population in the People’s Republic of China—the Han—and their various collective identities. The Han play a pivotal role in consolidating the Chinese territory and the multiethnic Chinese nation. Therefore, the governments in the twentieth century have invested substantial efforts in promoting a unitary Han identity. In spite of that, powerful local identities related to native place, occupation, and family histories persist. This essay traces these identities and analyzes their intertwinement. Further, it discusses the question of ethnicity of both the Han and local identity categories, and concludes that while Han enact ethnicity in their relations to other minzu, local identity categories are more social than ethnic. It further posits that moments of confrontation, “degree” of ethnicity, scales of categorization, and relationality of identities are notions that should be given particular attention in the studies of ethnicity in China and elsewhere.

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The importance of constituent units for democratic federations, in general, and of the Swiss cantons for the Swiss Confederation, in particular, is beyond doubt. What is less clear, however, is how to solve conflicting views on the number and type of such units. The Swiss case offers two highly topical examples in this regard: the merger of the two ‘half-cantons’ Basel-City and Basel-Country, on the one hand, and the creation of a new canton encompassing canton Jura and the French-speaking area of canton Berne, on the other. In comparing different sub-national political identities at play in these two cases, the strength of ‘cantonalism’—understood as attachment to and identification with a canton—in Switzerland in the 21st century is shown. Second, different manifestations of cantonalism are compared: centre-periphery in Basel, linguistic vs. religious in Jura. Finally, the similar direct-democratic pathways chosen to solve both conflicting understandings of cantonalism testify to the Swiss commitment to peaceful, negotiated and popularly sanctioned settlements.

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By 1900 the Jewish community of Tunisia witnessed the emergence of new competing identities: “assimilationist” of the Alliance Israelite Universelle, termed “Alliancist,” and Zionist. Strikingly, two members of the same family in Tunis, Raymond Valensi, President of the AIU Regional Committee, and Alfred Valensi, President of the Zionist Federation, led the struggle for their separate causes. In his discussion of identity in the modern world, Homi Bhabha asks, "How do strategies of representation or empowerment come to be formulated in the competing claims of communities…where, despite shared histories of …discrimination, the exchange of values, meanings and priorities…may be profoundly antagonistic…?" It is in this context that the claims of the Alliance and Zionism will be examined prior to World War I, based on the Archives of the AIU and on such secondary sources as the indispensable work of Paul Sebag. The tensions between the Alliancists and Zionists continued until the outbreak of World War II, as the French-speaking Jews of Tunisia sought to define their individual and collective identities.

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Let D be a link diagram with n crossings, sA and sB be its extreme states and |sAD| (respectively, |sBD|) be the number of simple closed curves that appear when smoothing D according to sA (respectively, sB). We give a general formula for the sum |sAD| + |sBD| for a k-almost alternating diagram D, for any k, characterizing this sum as the number of faces in an appropriate triangulation of an appropriate surface with boundary. When D is dealternator connected, the triangulation is especially simple, yielding |sAD| + |sBD| = n + 2 - 2k. This gives a simple geometric proof of the upper bound of the span of the Jones polynomial for dealternator connected diagrams, a result first obtained by Zhu [On Kauffman brackets, J. Knot Theory Ramifications6(1) (1997) 125–148.]. Another upper bound of the span of the Jones polynomial for dealternator connected and dealternator reduced diagrams, discovered historically first by Adams et al. [Almost alternating links, Topology Appl.46(2) (1992) 151–165.], is obtained as a corollary. As a new application, we prove that the Turaev genus is equal to the number k of dealternator crossings for any dealternator connected diagram