6,399 research outputs found

    Concordance of Bing doubles and boundary genus

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    Cha and Kim proved that if a knot K is not algebraically slice, then no iterated Bing double of K is concordant to the unlink. We prove that if K has nontrivial signature σ\sigma, then the n-iterated Bing double of K is not concordant to any boundary link with boundary surfaces of genus less than 2n−1σ2^{n-1}\sigma. The same result holds with σ\sigma replaced by 2τ2\tau, twice the Ozsvath-Szabo knot concordance invariant.Comment: 13 pages, 7 figure

    Justice on the Tennessee Frontier: The Williamson County Circuit Court 1810-1820

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    This Note examines the history of one early nineteenth-century circuit court and the caliber of its bench and bar. To analyze the workings of that court, this Note applies the analytical framework adopted by Friedman, Blume, and other historians to the raw data provided by a study of the Williamson County Circuit Court records. In each of several substantive areas for which the court\u27s records provide information, the Note first considers Friedman\u27s generalizations about nineteenth-century law and then interprets the Williamson County data in the light of those generalizations and the results of other case studies. This Note proceeds on the theory that the records of the Williamson County Circuit Court reveal substantive decision making representative of all newly established nineteenth-century judicial systems struggling for existence and order. It suggests possible explanations for those findings that do not comport with the results of previous studies in other areas. But this Note concludes that in Tennessee, as elsewhere, it was the strength of the American justice system that helped tame the frontier, rather than the frontier that tamed the law

    Between-Year Survival and Rank Transitions in Male Black-Capped Chickadees (\u3cem\u3ePoecile Atricapillus\u3c/em\u3e): A Multistate Modeling Approach

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    In dominance-structured animal societies, variation in individual fitness is often related to social status. Like many passerine birds, Black-capped Chickadees (Poecile atricapillus) have a short average adult life-expectancy (Ø2 years); however, the maximum recorded life span is \u3e5× as long. Enhanced annual survival could contribute to greater lifetime reproductive success for male Black-capped Chickadees with high social rank. We used multistate capture–mark–recapture models to estimate annual survival of male Black-capped Chickadees in Ontario using resighting and recapture data collected from 1997 to 2002. Our goal was to evaluate support for an influence of rank on annual survival and estimate its effect size for a food-supplemented study site. We also statistically modeled the probability of between-year rank transitions. Model selection based on Akaike’s information criterion provided support for an effect of rank on survival. However, multimodel inference revealed that the size of the effect was rather small. Over the six study years, model-averaged estimates of the survival benefit of high versus low rank ranged from 5.0 to 7.3%. As expected, survival was strongly year-dependent, with model-averaged estimates of annual survival probability varying between 0.36 and 0.73. Age was an important predictor of the probability of rank transitions. Low-ranked second-year birds were less likely than older low-ranked birds to advance to high rank between years; likewise, high-ranked after-second-year birds were less likely to drop in rank. Other studies have found larger effects of rank on survival than we observed here. Future research should consider how interactions between social and environmental factors influence annual survival

    High maternal androstenedione levels during pregnancy in a small precocial mammal with female genital masculinisation

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    -Masculinisation of female genitalia is an intriguing phenomenon amongst some mammalian species and its endocrinological basis as well as its adaptive value is still heavily debated. We recently reported female genital masculinisation in Cavia magna. The closely related C. aperea, does not show such masculinisation providing an unique opportunity to investigate potential endocrinological mechanisms underlying this difference. For both species we determined plasma levels of androstenedione and testosterone in adults of both sexes, and in females during different stages of pregnancy. Consistent with the normal mammalian pattern males showed higher levels of both androgens than conspecific females. Androgen profiles during pregnancy differed significantly between C. magna and C. aperea females: during mid-pregnancy androstenedione levels were strongly elevated in the masculinised C. magna, but not in C. aperea, indicating that high levels of this androgen may be involved in the differentiation of masculinized genitalia in female C. magna, as has been suggested for the spotted hyena. In both C. magna and the spotted hyena the pups show a highly advanced state of maturation, but in contrast to the hyena female C. magna are not overly aggressive. We therefore propose that female genital masculinisation might be a side effect of early exposure to elevated levels of maternal androgens that might be selected for to speed up precocial development.
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