The su(2)\mathfrak{su}(2) Krawtchouk oscillator model under the CP{\cal C}{\cal P} deformed symmetry

We define a new algebra, which can formally be considered as a ${\cal C}{\cal P}$ deformed $\mathfrak{su}(2)$ Lie algebra. Then, we present a one-dimensional quantum oscillator model, of which the wavefunctions of even and odd states are expressed by Krawtchouk polynomials with fixed $p=1/2$, $K_{2n}(k;1/2,2j)$ and $K_{2n}(k-1;1/2,2j-2)$. The dynamical symmetry of the model is the newly introduced $\mathfrak{su}(2)_{{\cal C}{\cal P}}$ algebra. The model itself gives rise to a finite and discrete spectrum for all physical operators (such as position and momentum). Among the set of finite oscillator models it is unique in the sense that any specific limit reducing it to a known oscillator models does not exist.Comment: Contribution to the 30th International Colloquium on Group Theoretical Methods in Physics (Ghent, Belgium, 2014). To be published in Journal of Physics: Conference Serie

The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass

We develop a phase-space representation concept in terms of the Wigner function for a quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass varying with the position. The new method is applied for the analytical computation of the Wigner distribution function for such a semiconfinement quantum system. The method allows for suppression of the divergence of the integrand in the definition of the quantum distribution function and leads to the computation of its analytical expressions for the stationary states of the semiconfined oscillator model. Both cases of the presence and absence of the applied external homogeneous field for this quantum system are studied. Obtained exact expressions of the Wigner distribution function are expressed through the Bessel function of the first kind and Laguerre polynomials. Further, some of the special cases and limits are discussed in detail.Comment: 10 pages, 9 figure

The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass

The phase space representation for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. We have found the Husimi distribution function for the stationary states of the oscillator model under consideration for both cases without and with the applied external homogeneous field. The obtained function is expressed through the double sum of the parabolic cylinder function. Different special cases and the limit relations are discussed, too.Comment: 12 pages, 8 figure

Mortality and pulmonary complications in patients undergoing surgery with perioperative sars-cov-2 infection: An international cohort study

Background The impact of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) on postoperative recovery needs to be understood to inform clinical decision making during and after the COVID-19 pandemic. This study reports 30-day mortality and pulmonary complication rates in patients with perioperative SARS-CoV-2 infection. Methods This international, multicentre, cohort study at 235 hospitals in 24 countries included all patients undergoing surgery who had SARS-CoV-2 infection confirmed within 7 days before or 30 days after surgery. The primary outcome measure was 30-day postoperative mortality and was assessed in all enrolled patients. The main secondary outcome measure was pulmonary complications, defined as pneumonia, acute respiratory distress syndrome, or unexpected postoperative ventilation. Findings This analysis includes 1128 patients who had surgery between Jan 1 and March 31, 2020, of whom 835 (740%) had emergency surgery and 280 (248%) had elective surgery. SARS-CoV-2 infection was confirmed preoperatively in 294 (261%) patients. 30-day mortality was 238% (268 of 1128). Pulmonary complications occurred in 577 (512%) of 1128 patients; 30-day mortality in these patients was 380% (219 of 577), accounting for 817% (219 of 268) of all deaths. In adjusted analyses, 30-day mortality was associated with male sex (odds ratio 175 [95% CI 128-240], p<00001), age 70 years or older versus younger than 70 years (230 [165-322], p<00001), American Society of Anesthesiologists grades 3-5 versus grades 1-2 (235 [157-353], p<00001), malignant versus benign or obstetric diagnosis (155 [101-239], p=0046), emergency versus elective surgery (167 [106-263], p=0026), and major versus minor surgery (152 [101-231], p=0047). Interpretation Postoperative pulmonary complications occur in half of patients with perioperative SARS-CoV-2 infection and are associated with high mortality. Thresholds for surgery during the COVID-19 pandemic should be higher than during normal practice, particularly in men aged 70 years and older. Consideration should be given for postponing non-urgent procedures and promoting non-operative treatment to delay or avoid the need for surgery. Funding National Institute for Health Research (NIHR), Association of Coloproctology of Great Britain and Ireland, Bowel and Cancer Research, Bowel Disease Research Foundation, Association of Upper Gastrointestinal Surgeons, British Association of Surgical Oncology, British Gynaecological Cancer Society, European Society of Coloproctology, NIHR Academy, Sarcoma UK, Vascular Society for Great Britain and Ireland, and Yorkshire Cancer Research

Mortality and pulmonary complications in patients undergoing surgery with perioperative SARS-CoV-2 infection: an international cohort study

Background: The impact of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) on postoperative recovery needs to be understood to inform clinical decision making during and after the COVID-19 pandemic. This study reports 30-day mortality and pulmonary complication rates in patients with perioperative SARS-CoV-2 infection. Methods: This international, multicentre, cohort study at 235 hospitals in 24 countries included all patients undergoing surgery who had SARS-CoV-2 infection confirmed within 7 days before or 30 days after surgery. The primary outcome measure was 30-day postoperative mortality and was assessed in all enrolled patients. The main secondary outcome measure was pulmonary complications, defined as pneumonia, acute respiratory distress syndrome, or unexpected postoperative ventilation. Findings: This analysis includes 1128 patients who had surgery between Jan 1 and March 31, 2020, of whom 835 (74·0%) had emergency surgery and 280 (24·8%) had elective surgery. SARS-CoV-2 infection was confirmed preoperatively in 294 (26·1%) patients. 30-day mortality was 23·8% (268 of 1128). Pulmonary complications occurred in 577 (51·2%) of 1128 patients; 30-day mortality in these patients was 38·0% (219 of 577), accounting for 81·7% (219 of 268) of all deaths. In adjusted analyses, 30-day mortality was associated with male sex (odds ratio 1·75 [95% CI 1·28–2·40], p\textless0·0001), age 70 years or older versus younger than 70 years (2·30 [1·65–3·22], p\textless0·0001), American Society of Anesthesiologists grades 3–5 versus grades 1–2 (2·35 [1·57–3·53], p\textless0·0001), malignant versus benign or obstetric diagnosis (1·55 [1·01–2·39], p=0·046), emergency versus elective surgery (1·67 [1·06–2·63], p=0·026), and major versus minor surgery (1·52 [1·01–2·31], p=0·047). Interpretation: Postoperative pulmonary complications occur in half of patients with perioperative SARS-CoV-2 infection and are associated with high mortality. Thresholds for surgery during the COVID-19 pandemic should be higher than during normal practice, particularly in men aged 70 years and older. Consideration should be given for postponing non-urgent procedures and promoting non-operative treatment to delay or avoid the need for surgery. Funding: National Institute for Health Research (NIHR), Association of Coloproctology of Great Britain and Ireland, Bowel and Cancer Research, Bowel Disease Research Foundation, Association of Upper Gastrointestinal Surgeons, British Association of Surgical Oncology, British Gynaecological Cancer Society, European Society of Coloproctology, NIHR Academy, Sarcoma UK, Vascular Society for Great Britain and Ireland, and Yorkshire Cancer Research

Development of A Method for the Combined Control of the Hardness of Winding Textile Package

Analysis of methods for determining the hardness of the winding shows that all existing methods require a lot of labor and time. When measuring the layer-by-layer hardness, the known methods do not allow obtaining continuous values, and in the case of measuring the hardness of packages of complex shape (conical bobbins, cops, spinning cobs, etc.), it requires a calculation using cumbersome formulas. In this case, the main difficulties arise in determining the volume of the layers of the winding, which in the general case have a complex configuration, and due to defects in the winding may have an irregular shape. Obviously, the described technique is rather cumbersome, and a lot of measurements and calculations are required to obtain a graph of the change in the winding hardness along the package radius. The construction of a graph of the change in hardness along the generatrix using a special device is generally problematic, since placement of more than three sources on the device is impossible due to the size of the meters, and the construction of the curve by three points cannot be considered satisfactory. Winding hardness is one of the most important parameters, on which many technological properties of the package depend. Indeed, with an increase in the hardness of the winding, the amount of material in the same volume increases, which makes it possible to replace packages less often, both on the machine that forms them, and at the subsequent transition. As a result, the equipment useful time increases. It was found that the hardness of the winding is closely related to its rigidity, and hence to the stability during transportation. The hardness of the winding affects the permeability of the package when it is treated with solutions. In this case, a huge role is played not only by the average value of the hardness, but also by its distribution over the layer

MOTOR REHABILITATION OF INVALIDS WITH INFRINGEMENT OF LOCOMOTOR FUNCTION DUE TO RESIDUAL PHENOMENA OF STROKE

This paper demonstrates the clinical efficacy of multiparametric biofeedback in patients aged 45 to 60 years with residual phenomena after stroke with 1 to 5 years prescription. Comparison was made according to the international scale. Patients in the control group and the main group were selected at random.It was shown that the use of multiparametric biofeedback allows to reduce spasticity, restore body image and improve hemodynamics, increase adaptive capacity of the body, improve coordination. At the sa me time, when compared with medical therapy of spasticity, this technology is an order higher cost-effective

Effects of Boron addition on lettuce plants grown in the soil and hydroponically

. - Boron (B) is a crucial micronutrient needed for plant growth. This study investigated the effect of B addition (0.5 mg kg-1-low, and 5 mg kg-1-high) on lettuce (Lactuca sativa L.) plants grown in the soil and hydroponically. The results showed that B addition causes a differential increase in B concentration in lettuce leaves depending on the cultivation system. In soil-grown plants, a statistically significant increase in lettuce B concentration was shown with increasing B treatments compared to the control. Moreover, the B concentrations measured in lettuce were within the optimal level for healthy lettuce. While hydroponically-grown plants showed a statistically significant increase in lettuce B concentration at high B treatment compared to the control and low B treatment. However, the high B treatment in hydroponics caused a very high B concentration in lettuce (196.4 mg kg-1) leading to toxicity expressed by the decrease in normalized difference vegetation index (NDVI) and chlorophyll content. Therefore, B concentration should be below 5 mg kg-1 for hydroponically-grown lettuce. Soil total and available B concentrations increased with B addition and considered a sufficient level. The other soil physicochemical parameters did not reveal a statistically significant difference with the B treatments, except a modest increase in pH, suggesting that the soil has a great homeostatic capacity. Additionally, the results showed that hydroponically-grown lettuce performs much better in terms of biomass production

Stabilność sektora bankowego : tworzenie wskaźników stabilności i badania wrażliwości

The purpose of this article is to composite a banking stability indicator (BSI) from independent sub-indices (capital adequacy ratio (СA), asset quality (AQ), profitability (P) and liquidity (L)). The BSI was calculated using the Minimax normalization method. The composite index was used to analyze the financial stability of the banking sector of 29 countries and to build a risk map based on their national basic economic indicators. The Fitch’s Banking Stability Indicator (BSI) is a composite measure of banking system quality, which ranks countries by five levels of banking system quality (“very high” or А, “high” or B, “acceptable” or С, “low” or D and “very low” or E). This study also uses a novel method of stress-testing to measure banking stability. The proposed BSI index is intended both for comparative international assessment of financial stability of the banking sector and for its evaluation in the country. It gives the ability in the most general form to assess the banking sector from the point of view of international competitiveness and to compare it with other countries. On the other hand, it allows identifying the strengths and weaknesses of the current financial condition of the banking sector at the level of individual countries and monitoring its sustainability.Celem tego artykułu jest połączenie wskaźnika stabilności bankowej (BSI) z niezależnych subindeksów (współczynnik adekwatności kapitałowej (СA), jakość aktywów (AQ), rentowność (P) i płynność (L)). BSI obliczono za pomocą metody normalizacji Minimax. Złożony indeks został wykorzystany do analizy stabilności finansowej sektora bankowego w 29 krajach i do stworzenia mapy ryzyka opartej na ich krajowych podstawowych wskaźnikach ekonomicznych. Wskaźnik stabilności bankowości Fitch (BSI) jest złożoną miarą jakości systemu bankowego, która klasyfikuje kraje według pięciu poziomów jakości systemu bankowego („bardzo wysoki” lub А, „wysoki” lub B, „dopuszczalny” lub С, „niski” lub D i „bardzo niski” lub E). W badaniu wykorzystano również nowatorską metodę testów warunków skrajnych do pomiaru stabilności bankowości. Proponowany indeks BSI jest przeznaczony zarówno do międzynarodowej oceny porównawczej stabilności finansowej sektora bankowego, jak i do jego oceny w kraju. Daje to w najbardziej ogólnej formie możliwość oceny sektora bankowego z punktu widzenia międzynarodowej konkurencyjności i porównania go z innymi krajami. Z drugiej strony pozwala zidentyfikować mocne i słabe strony obecnej sytuacji finansowej sektora bankowego na poziomie poszczególnych krajów i monitorować jego trwałość