Hearing Delzant Polytopes From the Equivariant Spectrum

Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric K\"ahler metric g. Abreu asked whether the spectrum of the Laplace operator $\Delta_g$ on $\mathcal{C}^\infty(M)$ determines the moment polytope of M, and hence by Delzant's theorem determines M up to symplectomorphism. We report on some progress made on an equivariant version of this conjecture. If the moment polygon of M^4 is generic and does not have too many pairs of parallel sides, the so-called equivariant spectrum of M and the spectrum of its associated real manifold M_R determine its polygon, up to translation and a small number of choices. For M of arbitrary even dimension and with integer cohomology class, the equivariant spectrum of the Laplacian acting on sections of a naturally associated line bundle determines the moment polytope of M.

S-0 and S-1 State Structure, Methyl Torsional Barrier Heights, and Fast Intersystem Crossing Dynamics of 5-Methyl-2-hydroxypyrimidine

We report the analysis of the SI So rotational band contours of jet-cooled 5-methyl-2-hydroxypyrimidine (5M2HP), the enol form of deoxythymine. Unlike thymine, which exhibits a structureless spectrum, the vibronic spectrum of 5M2HP is well structured, allowing us to determine the rotational constants and the methyl group torsional barriers in the S-0 and S-1 states. The 0(0)(0), 6a(0)(1), 6b(0)(1), and 14(0)(1) band contours were measured at 900 MHz (0.03 cm(-1)) resolution using mass-specific two-color resonant two-photon ionization (2C-R2PI) spectroscopy. All four bands are polarized perpendicular to the pyrimidine plane (>90% c type), identifying the S-1 <- S-0 excitation of 5M2HP as a 1n pi* transition. All contours exhibit two methyl rotor subbands that arise from the lowest 5-methyl torsional states 0A '' and 1E ''. The S-0 and S-1 state torsional barriers were extracted from fits to the torsional subbands. The 3-fold barriers are V-3 '' = 13 cm(-1) and V3' = SI cm(-1); the 6-fold barrier contributions V-6 '' and V-6' are in the range of 2-3 cm(-1) and are positive in both states. The changes of A, B, and C rotational constants upon S-1 <- S-0 excitation were extracted from the contours and reflect an "anti-quinoidal" distortion. The 0(0)(0) contour can only be simulated if a 3 GHz Lorentzian line shape is included, which implies that the S-1(1n pi*) lifetime is similar to 55 ps. For the 6a(0)(1) and 6b(0)(1) bands, the Lorentzian component increases to 5.5 GHz, reflecting a lifetime decrease to similar to 30 ps. The short lifetimes are consistent with the absence of fluorescence from the 1n pi* state. Combining these measurements with the previous observation of efficient intersystem crossing (ISC) from the Si state to a long-lived T-1((3)n pi*) state that lies similar to 2200 cm(-1) below [S. Lobsiger, S. et al. Phys. Chem. Chem. Phys. 2010, 12, 5032] implies that the broadening arises from fast intersystem crossing with k(ISC) approximate to 2 x 10(10) s(-1). In comparison to 5-methylpyrimidine, the ISC rate is enhanced by at least 10 000 by the additional hydroxy group in position 2.

The Role of Monetary Policy in Pursuing Economic Activity in Selected Transition Countries

The process of transition has brought an urgent need to develop many new market-oriented institutions or in some cases to reconstruct existing ones. One of the most important institutions of western-type economies is a central bank. It fulfils several "public good" functions, the most important of which are the achievement of stable price levels and assuring the financial stability of the economy. Nevertheless, even in economies with a long-standing market tradition, the question of whether a central bank is able to stimulate economic activity or whether all its cyclical actions lead only to changes in price levels remains open. The main purpose of this analysis was to empirically prove or disprove the relation between monetary policy and economic activity in more advanced transition countries. Basing his findings on commonly used econometric methods (causality tests, VAR modelling and simulations, simultaneous equations models), Delakorda concludes that the relation between money and economic activity is a mutual one, as there are significant differences between different countries in the conduct of monetary policy and in the environment of central banks. It is the latter which determines the relation between money and economic activity.

Comparative Analysis of Educational Attainment in Transition Economies

The project compared several indicators of educational attainment across various groups of transition economies, and between transition economies and others. The indicators of education reflected both the quantity of schooling (e.g. average years of schooling, percentage not attending school at all, and adult literacy rates) and schooling quality (e.g. public expenditure on education, pupil-teacher ratios, repetition rates, dropout rates, and international test scores). The basic test used in the project was a t-test on differences in sample means. Among the transition economies, the indicators examined were most favourable for central European, high-income and advanced transition countries, although the differences between these countries and the remaining transition countries were not usually statistically significant. When compared with other world economies, the transition countries typically showed significantly better indicators than developing countries, but differences between transition and developed countries were not statistically significant. The project also examined the behaviour of the correlation coefficient between indicators of education and income, which, as expected, were usually positive.

Poverty in Slovenia: A Conseqence of Economic Transition

Slovenia is considered to be one of the most successful Central and Eastern European countries undergoing the process of transition. It has a high GDP per capita (the highest in the Visegrad group) amounting to about 7200 US dollars (at the exchange rates pertaining during Ms. Stropnik's research). In 1994, a low rate of inflation, a low level of public debt and almost balanced public finances, were all positive elements. However, there is a darker side, for instance the dramatic increase in unemployment and (somewhat less dramatic) fall in production during the transition period. This analysis aimed to provide insights into what is actually happening at the household level, since households are the ultimate bearers of macroeconomic and social change. The final output totalled 166 pages in English and Slovenian, available also on disc. The income concept used by Ms. Stropnik is that of the disposable (monetary) household income, i.e. the cash income of all household members - including social security transfers and family benefits, and the net sum of taxes and social security contributions - plus the equivalent of domestic production, used in the household. Non-monetary income sources, such as household own production, benefits in kind, subsidies for goods and services, and fringe benefits, were not taken into account. The concept of relative and objective poverty was followed. Poverty means having less than others in society, it is a state of relative deprivation. Objective aspects of the situation, e.g. command over resources (i.e. the household income) and the relative position of the household in the income distribution, determine who is poor and who is not. Changes in household composition - an increase in the number of pensioners, unemployed and self-employed, concomitant with a large decrease in the number of employees - obviously played a part in the changing structure of household income sources during this period. The overall decrease in the share of wages and salaries from primary employment in 1993 is to be observed in all income deciles. On the other hand, the importance of salaries gained from secondary employment has increased in all deciles. The lower seven deciles experienced a sharp rise in the share of social benefits in the period 1988-1993, mostly because of the increase in the number of persons entitled to claim unemployment benefits. In Slovenia, income inequality has increased considerably during the 1988-1993 period. To make matters worse, the large increase in income inequality occurred in a period of falling real incomes. In 1983 the bottom decile disposed of 3.8 percent and the top decile disposed of 23.4 percent of total monetary income in Slovenia, whereas by 1993 the same statistics revealed 3.1 percent and 18.9 percent respectively. Unemployment greatly increases the risk of living in poverty. In 1993, 35 per cent of all unemployed persons in Slovenia were living in the lowest income quintile. Ms. Stropnik found certain features that were specific to Slovenia and not shared by most countries in transition. For example, the relative income position of pensioners has improved. Retirement did not increase the risk of poverty in 1993 as much as it did in 1983 and 1988. Also, it appears that children have not been particularly hard-hit by the transition upheavals. The incidence of poverty amongst children has not increased in the period 1983-1993. Children were also fairly evenly distributed across income quintiles. In 1983, 11.8 percent of households with children aged 18 or less were poor. In 1993, this figure was 8.4 per cent. On the other hand, poor households with children were, in comparison with other households of the same type, poorer in 1993 than in 1983. Ms. Stropnik also analysed the impact of social transfers. Her conclusion was that the level of social transfers prevented them from being successful in alleviating poverty. Family policy transfers (child allowances, child tax allowances, subsidised child care) did, however, contribute to the lowering of income inequality between families with and without children, and amongst families with different numbers of children. Ms. Stropnik is determined that the results of her research be used in the creation of social policy aimed at helping the poor. She quotes Piachaud approvingly: "If the term 'poverty' carries with it the implication and moral imperative that something should be done about it, then the study of poverty is only ultimately justifiable if it influences individual and social attitudes and actions."

Nitazoxanide, a broad-spectrum thiazolide anti-infective agent for the treatment of gastrointestinal infections

Colonisation of the gastrointestinal tract by anaerobic bacteria, protozoa, trematodes, cestodes and/or nematodes and other infectious pathogens, including viruses, represents a major cause of morbidity and mortality in Africa, South America and southeast Asia, as well as other parts of the world. Nitazoxanide is a member of the thiazolide class of drugs with a documented broad spectrum of activity against parasites and anaerobic bacteria. Moreover, the drug has recently been reported to have a profound activity against hepatitis C virus infection. In addition, nitazoxanide exhibits anti-inflammatory properties, which have prompted clinical investigations for its use in Crohn's disease. Studies with nitazoxanide derivatives have determined that there must be significantly different mechanisms of action acting on intracellular versus extracellular pathogens. An impressive number of clinical studies have shown that the drug has an excellent bioavailability in the gastrointestinal tract, is fast acting and highly effective against gastrointestinal bacteria, protozoa and helminthes. A recent Phase II study has demonstrated viral response (hepatitis C) to monotherapy, with a low toxicity and an excellent safety profile over 24 weeks of treatment. Pre-clinical studies have indicated that there is a potential for application of this drug against other diseases, not primarily affecting the liver or the gastrointestinal tract.

Climate spectrum estimation in the presence of timescale errors

We introduce an algorithm (called REDFITmc2) for spectrum estimation in the presence of timescale errors. It is based on the Lomb-Scargle periodogram for unevenly spaced time series, in combination with the Welch's Overlapped Segment Averaging procedure, bootstrap bias correction and persistence estimation. The timescale errors are modelled parametrically and included in the simulations for determining (1) the upper levels of the spectrum of the red-noise AR(1) alternative and (2) the uncertainty of the frequency of a spectral peak. Application of REDFITmc2 to ice core and stalagmite records of palaeoclimate allowed a more realistic evaluation of spectral peaks than when ignoring this source of uncertainty. The results support qualitatively the intuition that stronger effects on the spectrum estimate (decreased detectability and increased frequency uncertainty) occur for higher frequencies. The surplus information brought by algorithm REDFITmc2 is that those effects are quantified. Regarding timescale construction, not only the fixpoints, dating errors and the functional form of the age-depth model play a role. Also the joint distribution of all time points (serial correlation, stratigraphic order) determines spectrum estimation.

Learning Software-Maintenance Tasks in the Transition Phase of Offshore Outsourcing Projects: Two Learning-Theoretical Perspectives

The increasing practice of offshore outsourcing software maintenance has posed the challenge of effectively transferring knowledge to individual software engineers of the vendor. In this theoretical paper, we discuss the implications of two learning theories, the model of work-based learning (MWBL) and cognitive load theory (CLT), for knowledge transfer during the transition phase. Taken together, the theories suggest that learning mechanisms need to be aligned with the type of knowledge (tacit versus explicit), task characteristics (complexity and recurrence), and the recipients’ expertise. The MWBL proposes that learning mechanisms need to include conceptual and practical activities based on the relative importance of explicit and tacit knowledge. CLT explains how effective portfolios of learning mechanisms change over time. While jobshadowing, completion tasks, and supportive information may prevail at the outset of transition, they may be replaced by the work on conventional tasks towards the end of transition.

Amplified bioproductivity during Transition IV (332 000-342 000 yr ago): evidence from the geochemical record of Lake El'gygytgyn

Abstract. To date, terrestrial archives of long-term climatic change within the Arctic have widely been restricted to ice cores from Greenland and, more recently, sediments from Lake El’gygytgyn in northeast Arctic Russia. Sediments from this lake contain a paleoclimate record of glacialinterglacial cycles during the last three million years. Lowresolution studies at this lake have suggested that changes observed during Transition IV (the transition from marine isotope stage (MIS) 10 to MIS 9) are of greater amplitude than any observed since. In this study, geochemical parameters are used to infer past climatic conditions thus providing the first high-resolution analyses of Transition IV from a terrestrial Arctic setting. These results demonstrate that a significant shift in climate was subsequently followed by a rapid increase in biogenic silica (BSi) production. Following this sharp increase, bioproductivity remained high, but variable, for over a thousand years. This study reveals differences in the timing and magnitude of change within the ratio of silica to titanium (Si/Ti) and BSi records that would not be apparent in lower resolution studies. This has significant implications for the increasingly common use of Si/Ti data as an alternative to traditional BSi measurements.

Low-lying excited states and nonradiative processes of 9-methyl-2-aminopurine

he UV spectrum of the adenine analogue 9-methyl-2-aminopurine (9M-2AP) is investigated with one- and two-color resonant two-photon ionization spectroscopy at 0.3 and 0.05 cm−1 resolution in a supersonic jet. The electronic origin at 32 252 cm−1 exhibits methyl torsional subbands that originate from the 0A′′1 (l = 0) and 1E ″ (l = ±1) torsional levels. These and further torsional bands that appear up to 000+230 cm−1 allow to fit the threefold (V 3) barriers of the torsional potentials as ∣∣V′′3∣∣=50 cm−1 in the S 0 and ∣∣V′3∣∣=126 cm−1 in the S 1 state. Using the B3LYP density functional and correlated approximate second-order coupled cluster CC2 methods, the methyl orientation is calculated to be symmetric relative to the 2AP plane in both states, with barriers of V′′3=20 cm−1 and V′3=115 cm−1. The 000 rotational band contour is 75% in-plane (a/b) polarized, characteristic for a dominantly long-axis 1ππ* excitation. The residual 25% c-axis polarization may indicate coupling of the 1ππ* to the close-lying 1 nπ* state, calculated at 4.00 and 4.01 eV with the CC2 method. However, the CC2 calculated 1 nπ oscillator strength is only 6% of that of the 1ππ* transition. The 1ππ* vibronic spectrum is very complex, showing about 40 bands within the lowest 500 cm−1. The methyl torsion and the low-frequency out-of-plane ν′1 and ν′2 vibrations are strongly coupled in the 1ππ* state. This gives rise to many torsion-vibration combination bands built on out-of-plane fundamentals, which are without precedence in the 1ππ* spectrum of 9H-2-aminopurine [S. Lobsiger, R. K. Sinha, M. Trachsel, and S. Leutwyler, J. Chem. Phys.134, 114307 (2011)]. From the Lorentzian broadening needed to fit the 000 contour of 9M-2AP, the 1ππ* lifetime is τ ⩾ 120 ps, reflecting a rapid nonradiative transition.

Estimation of reference curves for the urinary steroid metabolome in the first year of life in healthy children: tracing the complexity of human postnatal steroidogenesis

CONTEXT Complex steroid disorders such as P450 oxidoreductase deficiency or apparent cortisone reductase deficiency may be recognized by steroid profiling using chromatographic mass spectrometric methods. These methods are highly specific and sensitive, and provide a complete spectrum of steroid metabolites in a single measurement of one sample which makes them superior to immunoassays. The steroid metabolome during the fetal-neonatal transition is characterized by a) the metabolites of the fetal-placental unit at birth, b) the fetal adrenal androgens until its involution 3-6 months postnatally, and c) the steroid metabolites produced by the developing endocrine organs. All these developmental events change the steroid metabolome in an age- and sex-dependent manner during the first year of life. OBJECTIVE The aim of this study was to provide normative values for the urinary steroid metabolome of healthy newborns at short time intervals in the first year of life. METHODS We conducted a prospective, longitudinal study to measure 67 urinary steroid metabolites in 21 male and 22 female term healthy newborn infants at 13 time-points from week 1 to week 49 of life. Urine samples were collected from newborn infants before discharge from hospital and from healthy infants at home. Steroid metabolites were measured by gas chromatography-mass spectrometry (GC-MS) and steroid concentrations corrected for urinary creatinine excretion were calculated. RESULTS 61 steroids showed age and 15 steroids sex specificity. Highest urinary steroid concentrations were found in both sexes for progesterone derivatives, in particular 20α-DH-5α-DH-progesterone, and for highly polar 6α-hydroxylated glucocorticoids. The steroids peaked at week 3 and decreased by ∼80% at week 25 in both sexes. The decline of progestins, androgens and estrogens was more pronounced than of glucocorticoids whereas the excretion of corticosterone and its metabolites and of mineralocorticoids remained constant during the first year of life. CONCLUSION The urinary steroid profile changes dramatically during the first year of life and correlates with the physiologic developmental changes during the fetal-neonatal transition. Thus detailed normative data during this time period permit the use of steroid profiling as a powerful diagnostic tool.

Improved determination of sterile neutrino dark matter spectrum

The putative recent indication of an unidentified 3.55 keV X-ray line in certain astrophysical sources is taken as a motivation for an improved theoretical computation of the cosmological abundance of 7.1 keV sterile neutrinos. If the line is interpreted as resulting from the decay of Warm Dark Matter, the mass and mixing angle of the sterile neutrino are known. Our computation then permits for a determination of the lepton asymmetry that is needed for producing the correct abundance via the Shi-Fuller mechanism, as well as for an estimate of the non-equilibrium spectrum of the sterile neutrinos. The latter plays a role in structure formation simulations. Results are presented for different flavour structures of the neutrino Yukawa couplings and for different types of pre-existing lepton asymmetries, accounting properly for the charge neutrality of the plasma and incorporating approximately hadronic contributions.

Impact of Clinical Presentation (Stable Angina Pectoris vs Unstable Angina Pectoris or Non-ST-Elevation Myocardial Infarction vs ST-Elevation Myocardial Infarction) on Long-Term Outcomes in Women Undergoing Percutaneous Coronary Intervention With Drug-Eluting Stents

The long-term risk associated with different coronary artery disease (CAD) presentations in women undergoing percutaneous coronary intervention (PCI) with drug-eluting stents (DES) is poorly characterized. We pooled patient-level data for women enrolled in 26 randomized clinical trials. Of 11,577 women included in the pooled database, 10,133 with known clinical presentation received a DES. Of them, 5,760 (57%) had stable angina pectoris (SAP), 3,594 (35%) had unstable angina pectoris (UAP) or non-ST-segment-elevation myocardial infarction (NSTEMI), and 779 (8%) had ST-segment-elevation myocardial infarction (STEMI) as clinical presentation. A stepwise increase in 3-year crude cumulative mortality was observed in the transition from SAP to STEMI (4.9% vs 6.1% vs 9.4%; p <0.01). Conversely, no differences in crude mortality rates were observed between 1 and 3 years across clinical presentations. After multivariable adjustment, STEMI was independently associated with greater risk of 3-year mortality (hazard ratio [HR] 3.45; 95% confidence interval [CI] 1.99 to 5.98; p <0.01), whereas no differences were observed between UAP or NSTEMI and SAP (HR 0.99; 95% CI 0.73 to 1.34; p = 0.94). In women with ACS, use of new-generation DES was associated with reduced risk of major adverse cardiac events (HR 0.58; 95% CI 0.34 to 0.98). The magnitude and direction of the effect with new-generation DES was uniform between women with or without ACS (pinteraction = 0.66). In conclusion, in women across the clinical spectrum of CAD, STEMI was associated with a greater risk of long-term mortality. Conversely, the adjusted risk of mortality between UAP or NSTEMI and SAP was similar. New-generation DESs provide improved long-term clinical outcomes irrespective of the clinical presentation in women.

Importance of sperm transition proteins demonstrated in mice carrying Tnp1- and Tnp2-null alleles

Chromatin condensation within the nucleus of developing spermatids involves replacement of histones by transition proteins, which are in turn replaced by protamines. The importance of transition proteins in the complex process of spermiogenesis has, to date, been only speculative. This study sought to investigate the extent to which transition proteins are essential or have redundant functions by characterizing sperm produced in mice expressing all combinations of Tnp-null alleles. Results from breeding trials of 8 weeks duration revealed that, on average, wildtype males produced about 14 offspring whereas TP2 and TP1 single-knockout males produced about 8 and 1 offspring, respectively, demonstrating their subfertility. Genotypes with less than two Tnp wildtype alleles, as well as double-knockout mutants, were completely infertile. Sperm from males with impaired fertility had poor progressive motility, heterogeneous chromatin condensation, incompletely processed protamine 2 and head and tail abnormalities. Generally, as the number of Tnp-null alleles increased so did the severity of abnormalities. However, specific morphological abnormalities were associated with the absence of an individual TP. Studies which sought to identify possible root causes for abnormalities in thiol-rich sperm structures revealed no differences in thiol content or sulfhydryl oxidation status within the nucleus but nuclei and tails from single-knockout mutants were severely disrupted following thiol reduction. Binding of fluorescent dyes to DNA was normal in sperm recovered from caput but abnormal in cauda epididymal sperm from TP1 knockouts and infertile double mutants. Injection of cauda epididymal sperm from double knockouts into oocytes produced very few offspring; however, after injection with testicular sperm, the efficiency was no different from wildtype. These results suggest DNA structural alterations or degradation during epididymal transport of sperm resulting in a diminished capacity of the paternal DNA of these sperm to produce offspring. The overall importance of transition proteins for normal chromatin condensation and production of fertile sperm has been demonstrated. Furthermore, identification of specific morphological abnormalities associated with the absence of an individual transition protein provides new evidence that the proteins are not completely redundant and each fulfills some unique function. ^

Genotypic spectrum and genotype-phenotype correlation of trimethylaminuria

Trimethylaminuria (TMAU) or Fish odor syndrome is an autosomal recessive disease that is characterized by pungent body odor with subsequent psychosocial complications. There are limited studies of the sequence variants causing TMAU in the literature with most studies describing only one or two patients and lacking genotype-phenotype correlations. Also to date, there is no laboratory in the US or Europe that offers TMA genetic testing on a clinical basis. We have recently validated genetic testing in the University of Colorado DNA Diagnostic Laboratory. We have a database of a few dozen patients with a biochemical diagnosis of TMA at the University of Colorado at Denver Health Sciences Center (UCDHSC) which includes a few patients with the classical form of the disease. We have used the newly established clinical test in our institution to attempt to characterize the genotype (sequence variants including mutations and polymorphisms) of classical TMAU patients and to establish a genotype-phenotype (biochemical and clinical) association. The questionnaire results confirmed most of the previously reported epidemiological findings of TMAU and also indicated that TMAU patients use multiple intervention measures in attempt to control their symptoms with dietary control being most effective. Despite the complexity of intervention, most patients did not have any medical follow up and there was underutilization of specialist care. In a set of our patients, two deleterious mutations were identified in 4/12 patients including a novel T237P sequence variant, while the majority of our patients (8/12) did not reveal any mutations. Some of the latter were double heterozygous for the E158K and E308G polymorphisms which could explain a mild phenotype while others had only the E158K variant which raised the question of undetected mutations. These results indicate that further experiments are needed to further delineate the full mutational spectrum of the FMO3 gene. ^