Weak Hopf algebras corresponding to Cartan matrices

We replace the group of group-like elements of the quantized enveloping algebra $U_q({\frak{g}})$ of a finite dimensional semisimple Lie algebra ${\frak g}$ by some regular monoid and get the weak Hopf algebra ${\frak{w}}_q^{\sf d}({\frak g})$. It is a new subclass of weak Hopf algebras but not Hopf algebras. Then we devote to constructing a basis of ${\frak{w}}_q^{\sf d}({\frak g})$ and determine the group of weak Hopf algebra automorphisms of ${\frak{w}}_q^{\sf d}({\frak g})$ when $q$ is not a root of unity.Comment: 21 page

Hamiltonian anomalies of bound states in QED

The Bound State in QED is described in systematic way by means of nonlocal irreducible representations of the nonhomogeneous Poincare group and Dirac's method of quantization. As an example of application of this method we calculate triangle diagram $Para-Positronium \to \gamma\gamma$. We show that the Hamiltonian approach to Bound State in QED leads to anomaly-type contribution to creation of pair of parapositronium by two photon.Comment: 12 pages, 2 figures. Proceedings of the conference "Symmetry Methods in Physics XV", July 12-16, 2011, Dubna, Russi

Evaluation advanced lymph node dissection impact on long-term survival rate of gastric cancer patients. Journal of Education

Over a period of 2007-2011 188 stomach cancer (SC) patients have been included in the research in abdominal oncosurgical department of Odessa regional oncological dispensary. It was retrospective, one-center, nonrandomized research. Volume of lymph node dissections differed by quantity of lymph nodes to be removed. All patients were divided into three groups. Patients with D1 or D1+ lymph node dissections have been performed, totally 90 patients are included in group of historical control. The main group includes 33 patients to whom D3 lymph node dissections is executed and, finally, control group – 65 patients dissected up to the D2 volume. In all cases so-called lymph node dissections for principal reasons have been executed. The multifactorial analysis of patients survival is implemented depending on a type of a lymph node dissections, a stage of the cancer, number of involved lymph nodes, involvement of the tumoral microcirculatory net (ly is carried out, v) signs of a perinevral invasion (Nev), availability of residual tumoral tissue (R), degree of a differentiation (G). Regardless of a disease stage, SC at 60% of patients, represented with initially hematologicaly disseminated disease. 40% of SC`s had no signs of intratumoral microcirculatory net involvement even in case of more than 15 regional lymph nodes are involved. In the absence of a SC perinevral invasion appeared to be the most precise predictive marker. The conclusion is made some brand new additional53 prognostic factors could play a crucial role in more accurate patients selection for expanded lymph node dissections

Novel data according Will Roger`s phenomenon in stomach cancer patients

Mostly Will Roger`s phenomenon means existence of so-called "jumping" or "jumping over the stages" regional metastases in the stomach cancer patients. N1 in the 6th edition means 16 regional lymph nodes involvement, while the N1 seventh edition – only 1-2 of regional lymph nodes involvement. This means that T1N1Mo \ 6th and T1N1Mo \ 7th - not quite the same, and the survival of the two groups will be different. The study, made on the abdominal oncosurgical department of Odessa Regional Oncology Center, included 188 patients operated for gastric cancer in the period 2007-2011. The study included only radically treated patients. Comparison of survival in patients with gastric cancer between 6th revision groups of 7th has been reviewed. The classification mission is to provide differences in the survival rates between the groups. Regression multivariate Cox analysis showed that 7th UICC classification showed different capability of stratifying survival groups of UICC N classification (P \ 0.01)

Phase formation in the (1- y )BiFeO 3 - y BiScO 3 system under ambient and high pressure

Formation and thermal stability of perovskite phases in the BiFe1-yScyO3 system (0≤y≤0.70) were studied. When the iron-to-scandium substitution rate does not exceed about 15 at%, the single-phase perovskite ceramics with the rhombohedral R3c symmetry (as that of the parent compound, BiFeO3) can be prepared from the stoichiometric mixture of the respective oxides at ambient pressure. Thermal treatment of the oxide mixtures with a higher content of scandium results in formation of two main phases, namely a BiFeO3-like R3c phase and a cubic (I23) sillenite-type phase based on γ-Bi2O3. Single-phase perovskite ceramics of the BiFe1-yScyO3 composition were synthesized under high pressure from the thermally treated oxide mixtures. When y is between 0 and 0.25 the high-pressure prepared phase is the rhombohedral R3c with the √2ap×√2ap×2√3ap superstructure (ap ~ 4 Å is the pseudocubic perovskite unit-cell parameter). The orthorhombic Pnma phase (√2ap×4ap×2√2ap) was obtained in the range of 0.30≤y≤0.60, while the monoclinic C2/c phase (√6ap×√2ap×√6ap) is formed when y=0.70. The normalized unit-cell volume drops at the crossover from the rhombohedral to the orthorhombic composition range. The perovskite BiFe1-yScyO3 phases prepared under high pressure are metastable regardless of their symmetry. At ambient pressure, the phases with the compositions in the ranges of 0.20≤y≤0.25, 0.30≤y<0.50 and 0.50≤y≤0.70 start to decompose above 970, 920 and 870 K, respectivelypublishe

Lymph node dissection impact on long-term survival rate of gastric cancer patients in Ukraine

Over a period of 2007-2011 188 stomach cancer (SC) patients have been included in the research in abdominal oncosurgical department of Odessa oncological center. Volume of lymph node dissections differed by quantity of lymph nodes to be removed. All patients were divided into three groups. Patients with D1 or D1+ lymph node dissections have been performed, totally 90 patients are included in group of historical control. In all cases so-called lymph node dissections for principal reasons have been executed. The multifactorial analysis of patients survival is implemented depending on a type of a lymph node dissections, a stage of the cancer, number of involved lymph nodes, involvement of the tumoral microcirculatory net (ly is carried out, v) signs of a perinevral invasion (Nev), availability of residual tumoral tissue (R), degree of a differentiation (G). Regardless of a disease stage, SC at 60 % of patients, represented with initially hematologicaly disseminated disease. 40 % of SC`s had no signs of intratumoral microcirculatory net involvement even in case of more than 15 regional lymph nodes are involved

The original formula for predicting the survival of gastric cancer patients undergoing surgical treatment

The purpose of this work was to find ways to predict the survival of gastric cancer patients. The study included 221 patients who were radically operated in the abdominal department of the Odessa Regional Oncology Center from 2007 to 2013. The life expectancy of this group of patients was measured in months. From the factors given in the article, only the age of the patient, the presence and invasion in neighboring organs and the number of organs resected during the operation were those factors that had a significant impact on the prognosis. A formula was obtained for the formal evaluation of the duration of patients. The results are preliminary. Conclusions. As a result of the regression analysis, a polynomial (formula) was obtained, which can be used to predict the survival of patients who underwent surgery for gastric cancer. There is a need to create clearer gradations of survival dependencies of cancer patients from different clinical and morphological situations. A mathematical apparatus with many variables can be used to create similar models for the analysis of survival in other types of pathology

Recognition of medical imaging in the computer diagnostic problems

Рассмотрена модификация оригинального метода Собеля. Данная модификация учитывает особенности медицинских изображений, поэтому позволяет получать лучшие результаты при распознавании. The features of medical image recognition are considered

ВЛИЯНИЕ УЛЬТРАЗВУКОВОГО ВОЗДЕЙСТВИЯ НА КРИСТАЛЛИЧЕСКУЮ СТРУКТУРУ КЕРАМИКИ НА ОСНОВЕ ЦИРКОНАТА-ТИТАНАТА СВИНЦА

The crystal structure and electrical properties of ceramics obtained from sonicated powders of lead zirconate-titanate were investigated. It is found that ultrasonic treatment of the initial powders allows to obtain piezoelectric ceramics with the monocrystalline structure and desired physical properties.Исследованы кристаллическая структура и электрофизические свойства керамик, полученных из обработанных ультразвуком порошков цирконата-титаната свинца. Установлено, что ультразвуковое воздействие на исходные порошки дает возможность получать пьезоэлектрическую керамику с монокристаллической структурой и заданными физическими свойствами

Metastable perovskite Bi1-xLaxFe0.5Sc0.5O3 phases in the range of the compositional crossover

Perovskite ceramics of the Bi1- xLaxFe0.5Sc0.5O3 composition (0.30 ≤ x ≤ 0.35) that cannot be sintered in bulk form as a single phase using the conventional ceramic route were successfully prepared using the high-pressure/high-temperature technique. It has been shown that the room-temperature compositional crossover from the antipolar phase whose incommensurate modulation of displacements of Bi/La and oxygen is described by the Imma(00γ)s00 superspace group to the non-polar Pnma phase occurs in the narrow range between x = 0.33 and x = 0.34 with no phase coexistence. The features of this compositional crossover are discussed in comparison with that observed in the Bi1- xLaxFeO3 system.publishe