(1.2) (a; q)α := (a; q)∞ (aqα; q)∞ in terms of (a; q)∞ := ∏∞ i=0(1− aq ). These identities have a very rich history. Many important figures in mathematics had contributed to the development of these identities starting with Rogers [25] who first proved them in 1894, and Ramanujan [17] whose involvement made Rogers’ unnoticed work popular. Others contributed by simplifying existing proofs, sugge...

utilize the x terms in Gregory’s series and have been instrumental in the calculation of decimal digits of π. Upon learning of these identities, one naturally desires an identity of the form π = r arctanx where r and x are rational and |x| < 1 is small. Such an identity would require only one evaluation of the arctangent function and this evaluation would converge quickly. However, identities o...

The persistence of a dual self-identification expressed by citizens in the Spanish Comunidades Autónomas (nationalities and regions) is one of the main features of centre-periphery relations in democratic Spain. This 'dual identity' or 'compound nationality' incorporates -in variable proportions, individually or subjectively assertedboth state/national and ethnoterritorial identities with no ap...

I close my eyes and think of a future world. A visionary world, thirty, forty years from today. A world not of new humanity but a plethora of old and new humanities. A world where more than one of way of being human is not only the norm but is considered essential for the very survival of our species. This is the world as a garden. Gardens, by the very fact that they are gardens, consist of a m...

My participant-observation with O-Môi, a support group for Vietnamese lesbians, bisexual women and female-to-male transgenders, and interviews with members, focusing on how different identity issues are negotiated, suggest that despite O-Môi's claim of supporting its members' multiple marginalized identities, group processes in everyday pragmatic interactions construct a hierarchy that centers ...

. . . , s k are positive integers with s 1 > 1. For k ≤ n, let E(2n, k) be the sum of all multiple zeta values with even arguments whose weight is 2n and whose depth is k. The well-known result E(2n, 2) = 3ζ(2n)/4was extended to E(2n, 3) and E(2n, 4) by Z. Shen and T. Cai. Applying the theory of symmetric functions, Hoffman gave an explicit generating function for the numbers E(2n, k) and then ...

This paper addresses the influence of two competing views of social identity on knowledge integration within organizations. One view sees social identity primarily as a coherent characteristic of organisations, which can leverage knowledge integration by developing loyalty, trust, shared values and implicit norms (Kogut and Zander, 1996). The opposing view considers social identification as mul...

Superconformal Ward identities for N=1 supersymmetric quantum field theories in four dimensions are convenienty obtained in the superfield formalism by combining diffeomorphisms and Weyl transformations on curved superspace. Using this approach we study the superconformal transformation properties of Green functions with one or more insertions of the supercurrent to all orders in perturbation t...

The current study extends research in the area of identity conflict or interference by focusing on a new identity combination, the woman and scientist identities. In addition, it examines the influence of identity centrality, or importance, as a predictor of interference and moderator of the relation between interference and well-being and science performance. Supporting hypotheses, greater ide...

This research examines self-stereotyping in the context of multiple social identities and shows that self-stereotyping is a function of stereotyped expectancies held in particular relationships. Participants reported how others evaluated their math and verbal ability and how they viewed their own ability when their gender or ethnicity was salient. Asian American women (Experiment 1) and Europea...