scholarly journals IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS

Author(s):  
Alberto Castaño Domínguez ◽  
Christian Sevenheck

We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric${\mathcal{D}}$-modules. We obtain, in particular, a formula for the irregular Hodge numbers of these systems. We use the reduction of hypergeometric systems from GKZ-systems as well as comparison results to Gauss–Manin systems of Laurent polynomials via Fourier–Laplace and Radon transformations.

2019 ◽  
Vol 4 (6) ◽  
pp. 1311-1315
Author(s):  
Sergey M. Kondrashov ◽  
John A. Tetnowski

Purpose The purpose of this study was to assess the perceptions of stuttering of school-age children who stutter and those of adults who stutter through the use of the same tools that could be commonly used by clinicians. Method Twenty-three participants across various ages and stuttering severity were administered both the Stuttering Severity Instrument–Fourth Edition (SSI-4; Riley, 2009 ) and the Wright & Ayre Stuttering Self-Rating Profile ( Wright & Ayre, 2000 ). Comparisons were made between severity of behavioral measures of stuttering made by the SSI-4 and by age (child/adult). Results Significant differences were obtained for the age comparison but not for the severity comparison. Results are explained in terms of the correlation between severity equivalents of the SSI-4 and the Wright & Ayre Stuttering Self-Rating Profile scores, with clinical implications justifying multi-aspect assessment. Conclusions Clinical implications indicate that self-perception and impact of stuttering must not be assumed and should be evaluated for individual participants. Research implications include further study with a larger subject pool and various levels of stuttering severity.


Author(s):  
Palky Mehta ◽  
H. L. Sharma

In the current scenario of Wireless Sensor Network (WSN), power consumption is the major issue associated with nodes in WSN. LEACH technique plays a vital role of clustering in WSN and reduces the energy usage effectively. But LEACH has its own limitation in order to search cluster head nodes which are randomly distributed over the network. In this paper, ERA-NFL- BA algorithm is being proposed for selects the cluster heads in WSN. This algorithm help in selection of cluster heads can freely transform from global search to local search. At the end, a comparison has been done with earlier researcher using protocol ERA-NFL, which clearly shown that proposed Algorithm is best suited and from comparison results that ERA-NFL-BA has given better performance.


2020 ◽  
Author(s):  
Nayyereh hatefi ◽  
William Smith

<div>Ideal{gas thermochemical properties (enthalpy, entropy, Gibbs energy, and heat capacity, Cp) of 49 alkanolamines potentially suitable for CO2 capture applications and their carbamate and protonated forms were calculated using two high{order electronic structure methods, G4 and G3B3 (or G3//B3LYP). We also calculate for comparison results from the commonly used B3LYP/aug-cc-pVTZ method. This data is useful for the construction of molecular{based thermodynamic models of CO2 capture processes involving these species. The Cp data for each species over the temperature range 200 K{1500 K is presented as functions of temperature in the form of NASA seven-term polynomial expressions, permitting the set of thermochemical properties to be calculated over this temperature range. The accuracy of the G3B3 and G4 results is estimated to be 1 kcal/mol and the B3LYP/aug-cc-pVTZ results are of nferior quality..</div>


2020 ◽  
Vol 4 (5) ◽  
pp. 884-891
Author(s):  
Salwa Salsabila Mansur ◽  
Sri Widowati ◽  
Mahmud Imrona

Traffic congestion problems generally caused by the increasing use of private vehicles and public transportations. In order to overcome the situation, the optimization of public transportation’s route is required particularly the urban transportation. In this research, the performance analysis of Firefly and Tabu Search algorithm is conducted to optimize eleven public transportation’s routes in Bandung. This optimization aims to increase the dispersion of public transportation’s route by expanding the scope of route that are crossed by public transportation so that it can reach the entire Bandung city and increase the driver’s income by providing the passengers easier access to public transportations in order to get to their destinations. The optimal route is represented by the route with most roads and highest number of incomes. In this research, the comparison results between the reference route and the public transportation’s optimized route increasing the dispersion of public transportation’s route to 60,58% and increasing the driver’s income to 20,03%.


Author(s):  
T.S. Golubtsova ◽  
A.B. Peskov ◽  
S.V. Peskova ◽  
M.P. Markevich ◽  
V.V. Gnoevykh ◽  
...  

Anemia occurs in approximately 30–70 % of patients with rheumatoid arthritis (RA). The most common cause of low hemoglobin level is chronic inflammation. Hyperbaric oxygenation (HBO) reduces the chronic inflammatory process, hypoxia severity and stimulates erythropoiesis. Therefore, HBO can be considered as one of the promising methods for treating anemia of chronic inflammation. The primary objective of the study is to carry out the efficacy analysis of rheumatoid arthritis (RA) complex therapy using hyperbaric oxygenation (HBO) for comparison results in patients with anemia and with a normal hemoglobin level. Materials and Methods. To assess the advisability of HBO in patients with RA and concomitant anemia, we analyzed indicators of RA activity and local joint inflammation in 120 patients. 30 patients were treated according to the standard scheme, 30 patients underwent one and 60 patients – five additional HBO sessions (1.3 atm during 40 min). Patients who underwent HBO were divided into two subgroups with normal and low hemoglobin levels. Results. On the 14th day of inpatient hospitalization, we fixed decrease in RA activity indices in all groups. The decrease in the activity of RA and local joint inflammation in patients who underwent HBO was faster than in patients who were treated according to the standard scheme, and in patients who underwent only one HBO session. Better results were observed in patients with concomitant anemia compared with patients with normal hemoglobin level. It was confirmed by a significant decrease in acute-phase blood values (ESR and CRP) and RA activity indices (assessment of disease activity (by a doctor and by a patient), CDIA, SDIA and DAS28). Conclusion. Additional HBO in complex RA therapy contributes to the efficacy of inpatient treatment. The most pronounced effect is observed in patients with both RA and anemia. Keywords: hyperbaric oxygenation, rheumatoid arthritis, anemia. Анемия встречается у 30–70 % больных, страдающих ревматоидным артритом (РА). Наиболее частой причиной снижения уровня гемоглобина крови является хроническое воспаление. Гипербарическая оксигенация (ГБО) способствует уменьшению активности хронического воспалительного процесса, выраженности гипоксии и стимулирует эритропоэз, следовательно, применение ГБО можно рассматривать как один из перспективных методов лечения анемии хронического воспаления. Цель работы – провести сравнительный анализ эффективности комплексной терапии пациентов, страдающих ревматоидным артритом, с включением курса гипербарической оксигенации на фоне анемии и при нормальном значении уровня гемоглобина крови. Материалы и методы. Для оценки целесообразности проведения курса ГБО у больных, страдающих РА с сопутствующей анемией, проведен динамический анализ показателей активности РА и локального воспаления в суставе у 120 пациентов (30 пациентов получили лечение по стандартной схеме, 30 больных дополнительно прошли 1 сеанс ГБО и 60 пациентов прошли 5 сеансов ГБО при 1,3 атм в течение 40 мин). Пациенты, прошедшие курс ГБО, были разделены на две подгруппы: с нормальным и сниженным уровнем гемоглобина. Результаты. На 14-й день госпитализации у всех пациентов отмечали регресс клинических проявлений артрита. Снижение показателей активности РА и локального воспаления в суставе у пациентов, прошедших курс ГБО, происходило быстрее, чем у больных, получивших лечение по стандартной схеме, и пациентов, прошедших один сеанс ГБО. Более высокие результаты лечения получены у больных с сопутствующей анемией по сравнению с пациентами с нормальными значениями гемоглобина, что подтверждено значимым снижением острофазовых показателей крови (СОЭ и СРБ) и индексов активности РА (ООАВ, ООАБ, CDIA, SDIA и DAS28). Выводы. Включение курса ГБО в стандартную схему терапии РА повышает эффективность стационарного лечения. Наиболее выраженный эффект наблюдается у больных с РА и анемией. Ключевые слова: гипербарическая оксигенация, ревматоидный артрит, анемия.


2019 ◽  
Author(s):  
CHIEN WEI ◽  
Chi Chow Julie ◽  
Chou Willy

UNSTRUCTURED Backgrounds: Dengue fever (DF) is an important public health issue in Asia. However, the disease is extremely hard to detect using traditional dichotomous (i.e., absent vs. present) evaluations of symptoms. Convolution neural network (CNN), a well-established deep learning method, can improve prediction accuracy on account of its usage of a large number of parameters for modeling. Whether the HT person fit statistic can be combined with CNN to increase the prediction accuracy of the model and develop an application (APP) to detect DF in children remains unknown. Objectives: The aim of this study is to build a model for the automatic detection and classification of DF with symptoms to help patients, family members, and clinicians identify the disease at an early stage. Methods: We extracted 19 feature variables of DF-related symptoms from 177 pediatric patients (69 diagnosed with DF) using CNN to predict DF risk. The accuracy of two sets of characteristics (19 symptoms and four other variables, including person mean, standard deviation, and two HT-related statistics matched to DF+ and DF−) for predicting DF, were then compared. Data were separated into training and testing sets, and the former was used to predict the latter. We calculated the sensitivity (Sens), specificity (Spec), and area under the receiver operating characteristic curve (AUC) across studies for comparison. Results: We observed that (1) the 23-item model yields a higher accuracy rate (0.95) and AUC (0.94) than the 19-item model (accuracy = 0.92, AUC = 0.90) based on the 177-case training set; (2) the Sens values are almost higher than the corresponding Spec values (90% in 10 scenarios) for predicting DF; (3) the Sens and Spec values of the 23-item model are consistently higher than those of the 19-item model. An APP was subsequently designed to detect DF in children. Conclusion: The 23-item model yielded higher accuracy rates (0.95) and AUC (0.94) than the 19-item model (accuracy = 0.92, AUC = 0.90). An APP could be developed to help patients, family members, and clinicians discriminate DF from other febrile illnesses at an early stage.


Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5217-5239 ◽  
Author(s):  
Ravi Agarwal ◽  
Snehana Hristova ◽  
Donal O’Regan

In this paper the statement of initial value problems for fractional differential equations with noninstantaneous impulses is given. These equations are adequate models for phenomena that are characterized by impulsive actions starting at arbitrary fixed points and remaining active on finite time intervals. Strict stability properties of fractional differential equations with non-instantaneous impulses by the Lyapunov approach is studied. An appropriate definition (based on the Caputo fractional Dini derivative of a function) for the derivative of Lyapunov functions among the Caputo fractional differential equations with non-instantaneous impulses is presented. Comparison results using this definition and scalar fractional differential equations with non-instantaneous impulses are presented and sufficient conditions for strict stability and uniform strict stability are given. Examples are given to illustrate the theory.


Polymers ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1205
Author(s):  
Ruiqi Wang ◽  
Riqiang Duan ◽  
Haijun Jia

This publication focuses on the experimental validation of film models by comparing constructed and experimental velocity fields based on model and elementary experimental data. The film experiment covers Kapitza numbers Ka = 278.8 and Ka = 4538.6, a Reynolds number range of 1.6–52, and disturbance frequencies of 0, 2, 5, and 7 Hz. Compared to previous publications, the applied methodology has boundary identification procedures that are more refined and provide additional adaptive particle image velocimetry (PIV) method access to synthetic particle images. The experimental method was validated with a comparison with experimental particle image velocimetry and planar laser induced fluorescence (PIV/PLIF) results, Nusselt’s theoretical prediction, and experimental particle tracking velocimetry (PTV) results of flat steady cases, and a good continuity equation reproduction of transient cases proves the method’s fidelity. The velocity fields are reconstructed based on different film flow model velocity profile assumptions such as experimental film thickness, flow rates, and their derivatives, providing a validation method of film model by comparison between reconstructed velocity experimental data and experimental velocity data. The comparison results show that the first-order weighted residual model (WRM) and regularized model (RM) are very similar, although they may fail to predict the velocity field in rapidly changing zones such as the front of the main hump and the first capillary wave troughs.


Author(s):  
Alice Garbagnati

Abstract We discuss the birational geometry and the Kodaira dimension of certain varieties previously constructed by Schreieder, proving that in any dimension they admit an elliptic fibration and they are not of general type. The $l$-dimensional variety $Y_{(n)}^{(l)}$, which is the quotient of the product of a certain curve $C_{(n)}$ by itself $l$ times by a group $G\simeq \left ({\mathbb{Z}}/n{\mathbb{Z}}\right )^{l-1}$ of automorphisms, was constructed by Schreieder to obtain varieties with prescribed Hodge numbers. If $n=3^c$ Schreieder constructed an explicit smooth birational model of it, and Flapan proved that the Kodaira dimension of this smooth model is 1, if $c&gt;1$; if $l=2$ it is a modular elliptic surface; if $l=3$ it admits a fibration in K3 surfaces. In this paper we generalize these results: without any assumption on $n$ and $l$ we prove that $Y_{(n)}^{(l)}$ admits many elliptic fibrations and its Kodaira dimension is at most 1. Moreover, if $l=2$, its minimal resolution is a modular elliptic surface, obtained by a base change of order $n$ on a specific extremal rational elliptic surface; if $l\geq 3$ it has a birational model that admits a fibration in K3 surfaces and a fibration in $(l-1)$-dimensional varieties of Kodaira dimension at most 0.


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