Time dependent neutrino billiards

Quantum dynamica of a massless Dirac particle in time-dependent 1D box and circular billiard with time-dependent radius is studied. An exact analytical wave functions and eigenvalues are obtained for the case of linear time-dependence of the boundary position

Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)

We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation between space-like geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary frequency. We construct new gauge invariant observables whose divergences reflect the presence of the singularity. We also find a UV/UV connection that governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity.Comment: 34 page, 10 figures, uses harvmac, references adde

Energy landscape, two-level systems and entropy barriers in Lennard-Jones clusters

We develop an efficient numerical algorithm for the identification of a large number of saddle points of the potential energy function of Lennard- Jones clusters. Knowledge of the saddle points allows us to find many thousand adjacent minima of clusters containing up to 80 argon atoms and to locate many pairs of minima with the right characteristics to form two-level systems (TLS). The true TLS are singled out by calculating the ground-state tunneling splitting. The entropic contribution to all barriers is evaluated and discussed.Comment: 4 pages, RevTex, 2 PostScript figure

Конкуренція університетів: світовий досвід і українські реалії

Досліджено процеси конкуренції вищих навчальних закладів; обґрунтовано основні критерії формування рейтингів університетів; виявлено взаємозв’язок між високим рейтингом університету і показником його елітності; розкрито значення капіталізації в конкурентних перевагах вищих навчальних закладів; визначено роль елітних університетів у постіндустріальному розвитку суспільства.Исследованы процессы конкуренции высших учебных заведений; обоснованы основные критерии формирования рейтингов университетов; показана взаимосвязь между высоким рейтингом университета и показателем его элитности; раскрыто значение капитализации в конкурентных преимуществах высших учебных заведений; определена роль элитных университетов в постиндустриальном развитии общества.The processes of competition of universities are studi ed, proved the main criteria for the formation of university rankings, found the relationship between highly-rated university and the rate of its elite, disclosed the value of capitalization in the competitive advantages of higher education institutions, and determined the role of elite universities in the post-industrial development

Quantitative PCR tissue expression profiling of the human SGLT2 gene and related family members

SGLT2 (for “Sodium GLucose coTransporter” protein 2) is the major protein responsible for glucose reabsorption in the kidney and its inhibition has been the focus of drug discovery efforts to treat type 2 diabetes. In order to better clarify the human tissue distribution of expression of SGLT2 and related members of this cotransporter class, we performed TaqMan™ (Applied Biosystems, Foster City, CA, USA) quantitative polymerase chain reaction (PCR) analysis of SGLT2 and other sodium/glucose transporter genes on RNAs from 72 normal tissues from three different individuals. We consistently observe that SGLT2 is highly kidney specific while SGLT5 is highly kidney abundant; SGLT1, sodium-dependent amino acid transporter (SAAT1), and SGLT4 are highly abundant in small intestine and skeletal muscle; SGLT6 is expressed in the central nervous system; and sodium myoinositol cotransporter is ubiquitously expressed across all human tissues

Physical demands of tennis across the different court surfaces, performance levels and sexes: a systematic review with meta-analysis

BACKGROUND : Tennis is a multidirectional high-intensity intermittent sport for male and female individuals played across multiple surfaces. Although several studies have attempted to characterise the physical demands of tennis, a meta-analysis is still lacking. OBJECTIVE : We aimed to describe and synthesise the physical demands of tennis across the different court surfaces, performance levels and sexes. METHODS : PubMed, Embase, CINAHL and SPORTDiscus were searched from inception to 19 April, 2022. A backward citation search was conducted for included articles using Scopus. The PECOS framework was used to formulate eligibility criteria. Population: tennis players of regional, national or international playing levels (juniors and adults). Exposure: singles match play. Comparison: sex (male/female), court surface (hard, clay, grass). Outcome: duration of play, on-court movement and stroke performance. Study design: cross-sectional, longitudinal. Pooled means or mean differences with 95% confidence intervals were calculated. A random-effects meta-analysis with robust variance estimation was performed. The measures of heterogeneity were Cochrane Q and 95% prediction intervals. Subgroup analysis was used for different court surfaces. RESULTS : The literature search generated 7736 references; 64 articles were included for qualitative and 42 for quantitative review. Mean [95% confidence interval] rally duration, strokes per rally and effective playing time on all surfaces were 5.5 s [4.9, 6.3], 4.1 [3.4, 5.0] and 18.6% [15.8, 21.7] for international male players and 6.4 s [5.4, 7.6], 3.9 [2.4, 6.2] and 20% [17.3, 23.3] for international female players. Mean running distances per point, set and match were 9.6 m [7.6, 12.2], 607 m [443, 832] and 2292 m [1767, 2973] (best-of-5) for international male players and 8.2 m [4.4, 15.2], 574 m [373, 883] and 1249 m [767, 2035] for international female players. Mean first- and second-serve speeds were 182 km·h−1 [178, 187] and 149 km·h−1 [135, 164] for international male players and 156 km·h−1 95% confidence interval [151, 161] and 134 km·h−1 [107, 168] for international female players. CONCLUSIONS : The findings from this study provide a comprehensive summary of the physical demands of tennis. These results may guide tennis-specific training programmes. We recommend more consistent measuring and reporting of data to enable future meta-analysts to pool meaningful data. CLINICAL TRIAL REGISTRATION : The protocol for this systematic review was registered a priori at the Open Science Framework (Registration DOI https://doi.org/10.17605/OSF.IO/MDWFY).https://link.springer.com/journal/402792023-02-08hj2023Sports Medicin