A generalized Fourier inversion theorem

In this work we define operator-valued Fourier transforms for suitable integrable elements with respect to the Plancherel weight of a (not necessarily Abelian) locally compact group. Our main result is a generalized version of the Fourier inversion Theorem for strictly-unconditionally integrable Fourier transforms. Our results generalize and improve those previously obtained by Ruy Exel in the case of Abelian groups.Comment: 15 pages; some typos correcte

Quasipolynomial size frege proofs of Frankl's Theorem on the trace of sets

We extend results of Bonet, Buss and Pitassi on Bondy's Theorem and of Nozaki, Arai and Arai on Bollobas' Theorem by proving that Frankl's Theorem on the trace of sets has quasipolynomial size Frege proofs. For constant values of the parameter t, we prove that Frankl's Theorem has polynomial size AC(0)-Frege proofs from instances of the pigeonhole principle.Peer ReviewedPostprint (author's final draft

Conflict in Married Couples: Personality Predictors of Anger and Upset

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/91371/1/j.1467-6494.1991.tb00926.x.pd

Validating a novel index (SWAT-Bp) to predict mortality risk of community-acquired pneumonia in Malawi

BackgroundCommunity-acquired pneumonia is a major cause of mortality worldwide. Early assessment and initiation of management improves outcomes. In higher-income countries, scores assist in predicting mortality from pneumonia. These have not been validated for use in most lower-income countries. AimTo validate a new score, the SWAT-Bp score, in predicting mortality risk of clinical community-acquired pneumonia amongst hospital admissions at Queen Elizabeth Central Hospital, Blantyre, Malawi.MethodsThe five variables constituting the SWAT-Bp score (male [S]ex, muscle [W]asting, non-[A]mbulatory, [T]emperature (>38oC or <35oC) and [B]lood [p]ressure (systolic<100 and/or diastolic<60)) were recorded for all patients with clinical presentation of a lower respiratory tract infection, presumed to be pneumonia, over four months (N=216). The sensitivity and specificity of the score were calculated to determine accuracy of predicting mortality risk. ResultsMedian age was 35 years, HIV prevalence was 84.2% amongst known statuses, and mortality rate was 12.5%. Mortality for scores 0-5 was 0%, 8.5%, 12.7%, 19.0%, 28.6%, 100% respectively. Patients were stratified into three mortality risk groups dependent on their score. SWAT-Bp had moderate discriminatory power overall (AUROC 0.744). A SWAT-Bp score of ≥2 was 82% sensitive and 51% specific for predicting mortality, thereby assisting in identifying individuals with a lower mortality risk.ConclusionIn this validation cohort, the SWAT-Bp score has not performed as well as in the derivation cohort. However, it could potentially assist clinicians identifying low-risk patients, enabling rapid prioritisation of treatment in a low-resource setting, as it helps contribute towards individual patient risk stratification

Strategies of Human Mating

Modern humans have inherited the mating strategies that led to the success of their ancestors. These strategies include long-term mating, short-term mating, extra-pair mating, mate poaching, and mate guarding. This article presents empirical evidence supporting evolution-based hypotheses about the complexities of these mating strategies. Since men and women historically confronted different adaptive problems in the mating domain, the sexes differ profoundly in evolved strategic solutions. These differences include possessing different mate preferences, different desires for short-term mating, and differences in the triggers that evoke sexual jealousy. The study of human mating is one of the “success stories” of evolutionary psychology

Macromolecular interactions in the nucleoporin p62 complex of rat nuclear pores: binding of nucleoporin p54 to the rod domain of p62.

Nuclear pore complexes are constructed from a large number of different proteins, called collectively nucleoporins. One of these nucleoporins, p62, has an alpha-helical coiled-coil COOH-terminal rod domain linked to an NH2-terminal domain that contains a series of degenerate pentapeptide repeats. In nuclear pores p62 forms a tight complex with at least two other proteins, p58 and p54, which can be extracted from isolated rat liver nuclei (Finlay, D. R., E. Meier, P. Bradley, J. Horecka, and D. J. Forbes. 1991. J. Cell Biol. 114:169-183). We have used a range of methods to demonstrate a strong binding between p62 and p54 in this complex and show that the rod domain of p62 appears to constitute the principal binding site for p54. Whole p62 and its rod domain expressed in Escherichia coli both bind strongly to p54 in blot-overlay assays. Most of the epitopes on the p62 rod recognized by polyclonal antisera are masked in the complex, whereas epitopes on the NH2-terminal domain of p62 are still exposed, both in the isolated complex and also in nuclear pores stained in situ by immunofluorescence in isolated rat nuclei. Moreover, it has been possible to exchange recombinant p62 rod for some of the native p62 in complexes partially dissociated by 4 M urea. Overall these results suggest a key role for the p62 rod domain in maintaining the structural integrity of the complex and also suggest a molecular model for the complex. This model is consistent with data that indicate that the analogous coiled-coil region of yeast nucleoporin NSP1 may function in a similar way

Integration of Kinesthetic and Tactile Display: A Modular Design Concept

This paper describes the systematic design of a modular setup for several integrated kinesthetic and cutaneous (tactile) display configurations. The proposed modular integration of a kinesthetic display and several tactile displays in serial configuration provides a versatile experimental setup to explore the integration of the kinesthetic and tactile modality of the human perception. The kinesthetic base display is a hyper-redundant device and sufficiently powerful to carry each of the compact tactile displays. In addition to a detailed description of the partly novel displays, a series of preliminary evaluation experiments is presented

Towards Verifying Nonlinear Integer Arithmetic

We eliminate a key roadblock to efficient verification of nonlinear integer arithmetic using CDCL SAT solvers, by showing how to construct short resolution proofs for many properties of the most widely used multiplier circuits. Such short proofs were conjectured not to exist. More precisely, we give n^{O(1)} size regular resolution proofs for arbitrary degree 2 identities on array, diagonal, and Booth multipliers and quasipolynomial- n^{O(\log n)} size proofs for these identities on Wallace tree multipliers.Comment: Expanded and simplified with improved result