The best finite-difference scheme for the Helmholtz equation is suggested. A method of solving obtained finite-difference scheme is developed. The efficiency and accuracy of method were tested on several examples.
<strong>Introduction:</strong> Gender differences are still quite prevalent in the present time. Although there is literature regarding gender differences in healthcare expenditure in India, there is no da...<strong>Introduction:</strong> Gender differences are still quite prevalent in the present time. Although there is literature regarding gender differences in healthcare expenditure in India, there is no data regarding gender differences in hospital stay, hospital seeking behaviors and mortality. <strong>Aim:</strong> To evaluate the Gender differences in a hospital seeking behavior, mortality and hospital stay. <strong>Methods:</strong> We prospectively analyzed, from a retrospective database, all patients who underwent surgical gastrointestinal, hepato-biliary, pancreatic and splenic surgeries from 1996 to 2018 in our unit. Patients were divided into groups based on gender, admission time period and priority of admission i.e., elective or emergency. Both the gender groups were compared with respect to total procedures done, hospital stay and mortality. Organ specific mortality was calculated as proportions, was analyzed and compared between the groups. Time trends of the same were observed and compared. <strong>Results:</strong> Of 12,411 patients, 7979 (64.3%) were males and 4432 (35.7%) were females. 9191 (74.1%) patients underwent elective procedures whereas 3220 (25.9%) had emergency procedures (<strong>p ≤ 0.001</strong>). Overall mortality was higher in males (n = 473, 5.92%) in comparison to females (n = 185, 4.17%) (p ≤ 0.001). Majority of surgeries in males were of small intestine (22.5%) in which small bowel resection was most commonly done (5.4%), whereas, gallbladder and biliary surgeries (27.4%) were the most common in females in which laparoscopic cholecystectomy was most commonly done (5.8%). Median hospital stay was higher in males (10 days vs 9 days), (<strong>p ≤ 0.001</strong>). Mortality was higher in females in all organ categories except in liver (6.34% vs 2.7%), pancreas (37.3% Vs 18.3%) and spleen (3.38% Vs 1.62%) where mortality was higher for male gender. Highest mortality for females was in small intestinal surgery (34%) and for males, it was pancreatic surgery (37.3%). Highest mortality in males was emergency open pancreatic necrosectomy (21.6%) and that in females was emergency small intestinal surgery (11.9%). Although the number of surgeries in females increased over time (380 in 1996-1999 Vs 951 in 2016-2018), the proportion remained constant (36.3% Vs 38.3% in 1996-1999 and 2016-2018 respectively). <strong>Conclusion:</strong> We conclude that mortality is found to be higher in males after gastrointestinal surgery, which may be explained by the fact that hospital seeking behavior is more in males though it is fairly increasing in females in the recent years.展开更多
In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a...In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a] and proves them being all right in only one theorem under the corresponding conditions,although each of the original conjectures is very difficulty.展开更多
In this paper,we consider distributed Nash equilibrium(NE)seeking in potential games over a multi-agent network,where each agent can not observe the actions of all its rivals.Based on the best response dynamics,we des...In this paper,we consider distributed Nash equilibrium(NE)seeking in potential games over a multi-agent network,where each agent can not observe the actions of all its rivals.Based on the best response dynamics,we design a distributed NE seeking algorithm by incorporating the non-smooth finite-time average tracking dynamics,where each agent only needs to know its own action and exchange information with its neighbours through a communication graph.We give a sufficient condition for the Lipschitz continuity of the best response mapping for potential games,and then prove the convergence of the proposed algorithm based on the Lyapunov theory.Numerical simulations are given to verify the resultandillustrate the effectiveness of the algorithm.展开更多
文摘The best finite-difference scheme for the Helmholtz equation is suggested. A method of solving obtained finite-difference scheme is developed. The efficiency and accuracy of method were tested on several examples.
文摘<strong>Introduction:</strong> Gender differences are still quite prevalent in the present time. Although there is literature regarding gender differences in healthcare expenditure in India, there is no data regarding gender differences in hospital stay, hospital seeking behaviors and mortality. <strong>Aim:</strong> To evaluate the Gender differences in a hospital seeking behavior, mortality and hospital stay. <strong>Methods:</strong> We prospectively analyzed, from a retrospective database, all patients who underwent surgical gastrointestinal, hepato-biliary, pancreatic and splenic surgeries from 1996 to 2018 in our unit. Patients were divided into groups based on gender, admission time period and priority of admission i.e., elective or emergency. Both the gender groups were compared with respect to total procedures done, hospital stay and mortality. Organ specific mortality was calculated as proportions, was analyzed and compared between the groups. Time trends of the same were observed and compared. <strong>Results:</strong> Of 12,411 patients, 7979 (64.3%) were males and 4432 (35.7%) were females. 9191 (74.1%) patients underwent elective procedures whereas 3220 (25.9%) had emergency procedures (<strong>p ≤ 0.001</strong>). Overall mortality was higher in males (n = 473, 5.92%) in comparison to females (n = 185, 4.17%) (p ≤ 0.001). Majority of surgeries in males were of small intestine (22.5%) in which small bowel resection was most commonly done (5.4%), whereas, gallbladder and biliary surgeries (27.4%) were the most common in females in which laparoscopic cholecystectomy was most commonly done (5.8%). Median hospital stay was higher in males (10 days vs 9 days), (<strong>p ≤ 0.001</strong>). Mortality was higher in females in all organ categories except in liver (6.34% vs 2.7%), pancreas (37.3% Vs 18.3%) and spleen (3.38% Vs 1.62%) where mortality was higher for male gender. Highest mortality for females was in small intestinal surgery (34%) and for males, it was pancreatic surgery (37.3%). Highest mortality in males was emergency open pancreatic necrosectomy (21.6%) and that in females was emergency small intestinal surgery (11.9%). Although the number of surgeries in females increased over time (380 in 1996-1999 Vs 951 in 2016-2018), the proportion remained constant (36.3% Vs 38.3% in 1996-1999 and 2016-2018 respectively). <strong>Conclusion:</strong> We conclude that mortality is found to be higher in males after gastrointestinal surgery, which may be explained by the fact that hospital seeking behavior is more in males though it is fairly increasing in females in the recent years.
文摘In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a] and proves them being all right in only one theorem under the corresponding conditions,although each of the original conjectures is very difficulty.
基金This work was supported by the Shanghai Sailing Program(No.20YF1453000)the Fundamental Research Funds for the Central Universities(No.22120200048).
文摘In this paper,we consider distributed Nash equilibrium(NE)seeking in potential games over a multi-agent network,where each agent can not observe the actions of all its rivals.Based on the best response dynamics,we design a distributed NE seeking algorithm by incorporating the non-smooth finite-time average tracking dynamics,where each agent only needs to know its own action and exchange information with its neighbours through a communication graph.We give a sufficient condition for the Lipschitz continuity of the best response mapping for potential games,and then prove the convergence of the proposed algorithm based on the Lyapunov theory.Numerical simulations are given to verify the resultandillustrate the effectiveness of the algorithm.
