Minimizing the Threat of a Positive Majority Deficit in Two-tier Voting Systems with Equipopulous Units

The mean majority deficit in a two-tier voting system is a function of the partition of the population. We derive a new square-root rule: For odd-numbered population sizes and equipopulous units the mean majority deficit is maximal when the member size of the units in the partition is close to the square root of the population size. Furthermore, within the partitions into roughly equipopulous units, partitions with small even numbers of units or small even-sized units yield high mean majority deficits. We discuss the implications for the winner-takes-all system in the US Electoral College.

Dominance and the maintenance of polymorphism in multiallelic migration-selection models with two demes

The maintenance of genetic variation in a spatially heterogeneous environment has been one of the main research themes in theoretical population genetics. Despite considerable progress in understanding the consequences of spatially structured environments on genetic variation, many problems remain unsolved. One of them concerns the relationship between the number of demes, the degree of dominance, and the maximum number of alleles that can be maintained by selection in a subdivided population. In this work, we study the potential of maintaining genetic variation in a two-deme model with deme-independent degree of intermediate dominance, which includes absence of G x E interaction as a special case. We present a thorough numerical analysis of a two-deme three-allele model, which allows us to identify dominance and selection patterns that harbor the potential for stable triallelic equilibria. The information gained by this approach is then used to construct an example in which existence and asymptotic stability of a fully polymorphic equilibrium can be proved analytically. Noteworthy, in this example the parameter range in which three alleles can coexist is maximized for intermediate migration rates. Our results can be interpreted in a specialist-generalist context and (among others) show when two specialists can coexist with a generalist in two demes if the degree of dominance is deme independent and intermediate. The dominance relation between the generalist allele and the specialist alleles play a decisive role. We also discuss linear selection on a quantitative trait and show that G x E interaction is not necessary for the maintenance of more than two alleles in two demes.

Inverse and symmetrical voice: On languages with two transitive constructions

In voice and alignment typology, a categorical distinction is generally made between inverse systems on the one hand and symmetrical voice systems on the other. A major reason for distinguishing between these two types is the assumption that inverse systems are governed by a hierarchy involving grammatical, semantic, and ontological criteria, while symmetrical voice systems are based on discourse-pragmatic factors. However, the two types also have several important properties in common, in particular the fact that they have more than one nonderived transitive construction. Based on data from three native languages of South America, we show that the line between the two types is not always easy to draw, and that features of the inverse type can coexist with those of the symmetrical-voice type in the same language.

Specific secretory phase endometrial leukocytes of women with two and more consecutive idiopathic abortions are not significantly different from healthy controls

OBJECTIVE: To analyze concentrations of endometrial leukocytes in patients with idiopathic-repeated abortions. MATERIALS AND METHODS: Biopsies of exactly dated secretory endometrium in 25 patients with idiopathic-repeated abortions and 10 control patients without a history of miscarriage were compared with respect to the concentrations of T-helper cells (CD4), cytotoxic T-cells (CD8), B-cells (CD19) and uterine natural killer cells (CD56) by immunohistochemistry and RNase protection assays. RESULTS: All examined cells were detectable within secretory endometrium. No statistically significant differences of the examined immune-cell concentrations were seen between the control group and the repeated miscarriage group by either test. CONCLUSION: This study suggests that the concentrations of specific endometrial leukocytes in a non-pregnant cycle are not associated with repeated pregnancy loss. Thus, the hypothesis of an altered endometrial immunity in patients with repeated miscarriages, symbolized by persistently differing local immune-cell concentrations, has to be questioned.

Clinical results with two different methods of root-end preparation and filling in apical surgery: mineral trioxide aggregate and adhesive resin composite

INTRODUCTION: The aim of apical surgery is to hermetically seal the root canal system after root-end resection, thereby enabling periradicular healing. The objective of this nonrandomized prospective clinical study was to report results of 2 different root-end preparation and filling methods, ie, mineral trioxide aggregate (MTA) and an adhesive resin composite (Retroplast). METHODS: The study included 353 consecutive cases with endodontic lesions limited to the periapical area. Root-end cavities were prepared with sonic microtips and filled with MTA (n = 178), or alternatively, a shallow concavity was prepared in the cut root face, with subsequent placement of an adhesive resin composite (Retroplast) (n = 175). Patients were recalled after 1 year. Cases were defined as healed when no clinical signs or symptoms were present and radiographs demonstrated complete or incomplete (scar tissue) healing of previous radiolucencies. RESULTS: The overall rate of healed cases was 85.5%. MTA-treated teeth demonstrated a significantly (P = .003) higher rate of healed cases (91.3%) compared with Retroplast-treated teeth (79.5%). Within the MTA group, 89.5%-100% of cases were classified as healed, depending on the type of treated tooth. In contrast, more variable rates ranging from 66.7%-100% were found in the Retroplast group. In particular, mandibular premolars and molars demonstrated considerably lower rates of healed cases when treated with Retroplast. CONCLUSIONS: MTA can be recommended for root-end filling in apical surgery, irrespective of the type of treated tooth. Retroplast should be used with caution for root-end sealing in apical surgery of mandibular premolars and molars.

Hysteroscopic findings in women with two and with more than two first-trimester miscarriages are not significantly different

The purpose of this study was to analyse hysteroscopic results in patients with recurrent miscarriages and to compare the frequency of uterine anomalies in women with a history of exactly two and with more than two consecutive miscarriages. A retrospective analysis of 206 patients undergoing hysteroscopy for repeated early pregnancy losses was performed at two university centres. Late miscarriages were excluded, terminations of pregnancy were not counted. Eighty-seven patients had suffered from exactly two early miscarriages and 119 from more than two. Both groups were comparable with respect to age at admission (32.95+/-4.46 versus 34.06+/-5.02 years) and at first miscarriage (30.43+/-4.24 versus 29.08+/-5.38 years). The prevalence of acquired (adhesions, polyps, fibroids) and congenital uterine anomalies (septate or bicornuate uterus, etc.) did not differ significantly (acquired: 28.7 versus 27.7%; congenital: 9.2 versus 16.8%). The rates of uterine anomalies did not differ significantly overall (36.8 versus 42.9%). In conclusion, uterine anomalies are frequently found in patients with two and with more than two early miscarriages. Due to the high rate of anomalies, their risk for adverse pregnancy outcome and a possible therapeutic approach, hysteroscopy might be a diagnostic option even after two early miscarriages.

Detecting BRAF Mutations in Formalin-Fixed Melanoma: Experiences with Two State-of-the-Art Techniques

Melanoma is characterized by a high frequency of BRAF mutations. It is unknown if the BRAF mutation status has any predictive value for therapeutic approaches such as angiogenesis inhibition.