Bounds for the Regularity Radius of Delone Sets

Delone sets are discrete point sets X in Rd characterized by parameters (r,R), where (usually) 2r is the smallest inter-point distance of X, and R is the radius of a largest ``empty ball that can be inserted into the interstices of X. The regularity radius ρ^d is defined as the smallest positive number ρ such that each Delone set with congruent clusters of radius ρ is a regular system, that is, a point orbit under a crystallographic group. We discuss two conjectures on the growth behavior of the regularity radius. Our ``Weak Conjecture states that ρ^d=O(d2logd)R as d→∞, independent of~r. This is verified in the paper for two important subfamilies of Delone sets: those with full-dimensional clusters of radius 2r and those with full-dimensional sets of d-reachable points. We also offer support for the plausibility of a ``Strong Conjecture , stating that ρ^d=O(dlogd)R as d→∞, independent of r. Delone sets are discrete point sets X in Rd characterized by parameters (r,R), where (usually) 2r is the smallest inter-point distance of X, and R is the radius of a largest ``empty ball that can be inserted into the interstices of X. The regularity radius ρ^d is defined as the smallest positive number ρ such that each Delone set with congruent clusters of radius ρ is a regular system, that is, a point orbit under a crystallographic group. We discuss two conjectures on the growth behavior of the regularity radius. Our ``Weak Conjecture states that ρ^d=O(d2logd)R as d→∞, independent of~r. This is verified in the paper for two important subfamilies of Delone sets: those with full-dimensional clusters of radius 2r and those with full-dimensional sets of d-reachable points. We also offer support for the plausibility of a ``Strong Conjecture , stating that ρ^d=O(dlogd)R as d→∞, independent of r

Obscurity and Gender Resistance in Patricia Duncker's James Miranda Barry

publication-status: Submittedtypes: Article© 2012 by Taylor & FrancisSince his death in 1865, military surgeon James Barry has alternately been classified as a cross-dressing woman or as an intersexed individual. Patricia Duncker’s novel James Miranda Barry (1999) poses an important challenge to such readings, as it does not reveal any foundational truth about Barry’s sex. Resting on obscurity rather than revelation, the text frustrates the desire to know the past in terms of gender binaries and stable sexual identity categories. Drawing on feminist and queer theorisations of the relation between gender and time, this essay demonstrates that Duncker’s use of obscurity opens up alternative strategies of gender resistance.The Wellcome Trus

Thinking like a man? The cultures of science

Culture includes science and science includes culture, but conflicts between the two traditions persist, often seen as clashes between interpretation and knowledge. One way of highlighting this false polarity has been to explore the gendered symbolism of science. Feminism has contributed to science studies and the critical interrogation of knowledge, aware that practical knowledge and scientific understanding have never been synonymous. Persisting notions of an underlying unity to scientific endeavour have often impeded rather than fostered the useful application of knowledge. This has been particularly evident in the recent rise of molecular biology, with its delusory dream of the total conquest of disease. It is equally prominent in evolutionary psychology, with its renewed attempts to depict the fundamental basis of sex differences. Wars over science have continued to intensify over the last decade, even as our knowledge of the political, economic and ideological significance of science funding and research has become ever more apparent

Undoing gender through performing the other

Following the perspective of gender as a socially constructed performance, consumer research has given light to how individuals take on, negotiate, and express a variety of gender roles. Yet the focus of research has remained on gender roles themselves, largely overlooking the underlying process of gender performativity and consumers’ engagement with it in the context of their everyday lives. Set within a performance methodology and the context of crossplay in live action role-playing games, this paper explores how individuals undo gender on a subjective level, thus becoming conscious and reflexive of gender performativity. The study suggests that individuals become active in undoing gender through engaging in direct, bodily performance of the gender other. Such performance does not challenge or ridicule norms, but pushes individuals to actively figure out for themselves how gender is performed. As a result, individuals become aware of gender performativity and become capable of actively recombining everyday performance

Shared heritability and functional enrichment across six solid cancers

Correction: Nature Communications 10 (2019): art. 4386 DOI: 10.1038/s41467-019-12095-8Quantifying the genetic correlation between cancers can provide important insights into the mechanisms driving cancer etiology. Using genome-wide association study summary statistics across six cancer types based on a total of 296,215 cases and 301,319 controls of European ancestry, here we estimate the pair-wise genetic correlations between breast, colorectal, head/neck, lung, ovary and prostate cancer, and between cancers and 38 other diseases. We observed statistically significant genetic correlations between lung and head/neck cancer (r(g) = 0.57, p = 4.6 x 10(-8)), breast and ovarian cancer (r(g) = 0.24, p = 7 x 10(-5)), breast and lung cancer (r(g) = 0.18, p = 1.5 x 10(-6)) and breast and colorectal cancer (r(g) = 0.15, p = 1.1 x 10(-4)). We also found that multiple cancers are genetically correlated with non-cancer traits including smoking, psychiatric diseases and metabolic characteristics. Functional enrichment analysis revealed a significant excess contribution of conserved and regulatory regions to cancer heritability. Our comprehensive analysis of cross-cancer heritability suggests that solid tumors arising across tissues share in part a common germline genetic basis.Peer reviewe