Comptonization of an isotropic distribution in moving media: higher-order effects

We consider the Comptonization of an isotropic radiation field by a thermal distribution of electrons with non-vanishing bulk velocity. We include all relativistic effects, including induced scattering and electron recoil, in the derivation of a kinetic equation which is correct to O(theta^2, beta theta^2, beta^2 theta), where beta is the bulk velocity (in units of c) and theta is the ratio of the electron temperature to mass. The result given here manifestly conserves photon number, and easily yields the energy transfer rate between the radiation and electrons. We also confirm recent calculations of the relativistic corrections to the thermal and kinematic Sunyaev-Zel'dovich effect.Comment: Minor revisions. To appear in the Astrophysical Journa

Borrower Self-Selection, Underwriting Costs, and Subprime Mortgage Credit Supply

In the U.S., households participate in two very different types of credit markets. Personal lending is characterized by continuous risk-based pricing in which lenders offer households a continuous distribution of borrowing possibilities based on estimates of their creditworthiness. This contrasts sharply with mortgage markets where lenders specialize in specific risk categories of borrowers and mortgage supply is stepwise linear. The contrast between continuous lending for personal loans and discrete lending by specialized lenders for mortgage credit has led to concerns regarding the efficiency and equity of mortgage lending. This paper sheds both theoretical and empirical light on the differences in the two credit markets. The theory section demonstrates why, in a perfectly competitive credit market where all lenders have the same underwriting technology, mortgage credit supply curves are stepwise linear and lenders specialize in prime or subprime lending. The empirical section then provides evidence that borrowers are being effectively sorted based on risk characteristics by the market

Carotid artery disease screening : assessment of criteria

The Department of Radiology at St. Luke’s Hospital has provided a screening service for stroke related disease since April 1991. This consisted of Duplex Ultrasound screening (DUS) for Extracranial Carotid Artery Disease (ECAD) followed by angiography or intra-arterial digital subtraction angiography (lADSA) or digital intravenous angiography (DIVA) if ultrasound screening was positive for significant disease. The aim of this study was to evaluate in the local context, the various criteria for assessment already established overseas and to devise the best combination of these criteria to improve the detection of disease, thus improving the quality of the•local screening service. 504 patients have been screened for stroke related disease. Twelve patients (6M : 6F) with significant disease, who were considered for surgery, were referred for angiography, IADSA or DIVA. Comparison of these two modalities, DUS and vascular study, were made on 22 sides for the Multicentre Criteria (MCC), the Modified Seattle Criteria (MSC) and the Modified Washington Criteria (MWC). The accuracy, sensitivity, specificity, positive predictive value and negative predictive value were calculated for the MCC, the MSC and the MWC for peak systolic velocity. For the MCC the end diastolic velocity, the systolic velocity ratio and the diastolic velocity ratio were also compiled. The highest precision for extra cranial carotid artery disease screening can be achieved by a combination of the MCC or MSC for peak systolic velocity and with the systolic velocity ratio for the MCC.peer-reviewe

Phylogenetic and phenotypic divergence of an insular radiation of birds

Evolutionary divergence of lineages is one of the key mechanisms underpinning large scale patterns in biogeography and biodiversity. Island systems have been highly influential in shaping theories of evolutionary diversification and here I use the insular Zosteropidae of the south west Pacific to investigate the roles of ecology and biogeography in promoting evolutionary divergence. Initially I build a phylogenetic tree of the study group and use it to reveal the pattern of colonisation and diversification. My results suggest a complex history of dispersal with the observed pattern most likely a result of repeated bouts of colonisation and extinction. I then use the new phylogeny to quantify the diversification rates of the Zosteropidae. I find a very high rate of lineage divergence and suggest the most likely explanation relates to extensive niche availability in the south west Pacific. I also find evidence for an overall slowdown in diversification combined with repeated bursts of accelerated speciation, consistent with a model of taxon cycles. I do not find evidence for sympatric speciation, however. Finally I combine morphological and phylogenetic data to investigate the mode of evolution, evidence for character displacement and influence of biogeography on trait evolution. I find little support for the traditional theory of character displacement in sympatric species. I do, however, find some support for biogeographic theories. Taken together my results do not support traditional theories on the ecological and biogeographical basis of divergence, even in those cases where Zosterops have been used as exemplars. This appears to be because those theories assume rather simple patterns of colonisation and a static ecological system. Instead, my results suggest that evolutionary diversification is dominated by recurrent waves of colonisation and extinction, which, viewed at any particular moment, tend to obscure any underlying ecological rules

Did Philologists write the Iliad? : Friedrich August Wolf's criteria of style and the demonstrative power of citation

Friedrich August Wolf posits in his "Prolegomena ad Homerum" that, from the time of the first transcription of Homer's epics around 700 BC to the time of the Alexandrian editions, the Iliad and Odyssey underwent repeated revisions by a multitude of poets and critics. According to Wolf, the "unified" works that we know are the products of emendations by Alexandrian critics who attempted to homogenize the style of the epics and to return them to their "original" form. This paper argues that Wolf's narration of the history of these texts relies on and produces aesthetic claims, not historical ones. Wolf determines the dates and origins of passages based on intuitive judgments of style for which he cannot provide linguistic or historical evidence. And his conclusions that the "Iliad" and "Odyssey" were not written by Homer, but rather by a history of emendations and revisions, enthrones his work — the work of philologists — in place of the literary genius Homer. Thus philology becomes for Wolf an aesthetic discipline that produces canonical and beautiful works of literature. This aesthetic task is essential for philology to fulfill its educational and political responsibilities

Massive Quark-Gluon Scattering Amplitudes at Tree Level

Results for four-, five-, and six-parton tree amplitudes for massive quark-antiquark scattering with gluons are calculated using the recursion relations of Britto, Cachazo, Feng, and Witten. The required diagrams are generated using shifts of the momenta of a pair of massless legs to complex values. Checks verifying the calculations are described, and a simple formula for the shifted spinors of an internal gluon is presented.Comment: 24 pages, 6 figure