The Peregrine breather of order eleven（P_（11） breather） solution to the focusing one-dimensional nonlinear Schrdinger equation（NLS） is explicitly constructed here. Deformations of the Peregrine breather of order...The Peregrine breather of order eleven（P_（11） breather） solution to the focusing one-dimensional nonlinear Schrdinger equation（NLS） is explicitly constructed here. Deformations of the Peregrine breather of order 11 with 20 real parameters solutions to the NLS equation are also given： when all parameters are equal to 0 we recover the famous P_（11） breather. We obtain new families of quasi-rational solutions to the NLS equation in terms of explicit quotients of polynomials of degree 132 in x and t by a product of an exponential depending on t. We study these solutions by giving patterns of their modulus in the（x; t） plane, in function of the different parameters.展开更多
Objective: To sum up 121 cases of heart disease operations with the help of thoracoscope from May to August in 2000. Among these cases, 48 cases were atrial septal defect (ASD); the average age of patients is 20±...Objective: To sum up 121 cases of heart disease operations with the help of thoracoscope from May to August in 2000. Among these cases, 48 cases were atrial septal defect (ASD); the average age of patients is 20±10 years old; average weight is (43±16) kg. 67 patients with ventricular septal defects (VSD), average age13±9 years old; one male patient, 44 years old with Ebstein malformation; one female patient (21 years old) partial atrioventricular canal combined with cor triatriatum; one male (21 years old) with ruptared aneuryem of aortic sinus. 3 cases(all females ) with mitral stenosis combined with mitral valve incompetence. One male patient(aged 16)with pericardiun effusion after trauma. Methods: During operations, a patient with supine position, and his/her right shoulder was padded 30°higher. Tracheal cannula was inserted and air was piped in with high frequency jet ventilation. Three mini thoracotomies with a diameter of 2 to 3 cm were made in the 4th intercostals space of the right par sternum and the 4th and 7th intercostals spaces of the right middle axillary line respectively. An periphera extra corporeal circulation was made. the aortic clamp was clamped, cannula for cold perfusion. After the heart was sliced and a reformative operation was performed. The process of the operation of defects repairs was finished under the thoracoscope. The other operations were performed with the help of thoracoscope. 3 rheumatic heart disease patients got 25# mechanical mitral valve prosthesis. A 30# tricuspid plasty ring was applied to The Ebstein malformation patient. Results: all 121 patients were successfully operated on without death. Two VSD cases appeared transient third degree atrialventricular block.Because 4 cases had more chest drainage, so they were stanched bleeding twice. After the operation, heart murmur vanished, and ultrasonic inspection showed no diffluence inside the heart. Conclusion: Our experience showed that all atrium, ventricular septal defects can be repaired under the thoracoscope. This scope-assisted technology is more accepted by patients because of tiny incisions and also provides an alternative solution for cardiac surgeons.展开更多
In this exposition,we show that the Hamiltonian is always constant on a compact invariant connected subset which lies in a Lagrangian graph provided that the Hamiltonian and the graph are sufficiently smooth.We also p...In this exposition,we show that the Hamiltonian is always constant on a compact invariant connected subset which lies in a Lagrangian graph provided that the Hamiltonian and the graph are sufficiently smooth.We also provide some counterexamples to show that if the Hamiltonian function is not smooth enough,then it may be non-constant on a compact invariant connected subset which lies in a Lagrangian graph.展开更多
文摘The Peregrine breather of order eleven（P_（11） breather） solution to the focusing one-dimensional nonlinear Schrdinger equation（NLS） is explicitly constructed here. Deformations of the Peregrine breather of order 11 with 20 real parameters solutions to the NLS equation are also given： when all parameters are equal to 0 we recover the famous P_（11） breather. We obtain new families of quasi-rational solutions to the NLS equation in terms of explicit quotients of polynomials of degree 132 in x and t by a product of an exponential depending on t. We study these solutions by giving patterns of their modulus in the（x; t） plane, in function of the different parameters.
文摘Objective: To sum up 121 cases of heart disease operations with the help of thoracoscope from May to August in 2000. Among these cases, 48 cases were atrial septal defect (ASD); the average age of patients is 20±10 years old; average weight is (43±16) kg. 67 patients with ventricular septal defects (VSD), average age13±9 years old; one male patient, 44 years old with Ebstein malformation; one female patient (21 years old) partial atrioventricular canal combined with cor triatriatum; one male (21 years old) with ruptared aneuryem of aortic sinus. 3 cases(all females ) with mitral stenosis combined with mitral valve incompetence. One male patient(aged 16)with pericardiun effusion after trauma. Methods: During operations, a patient with supine position, and his/her right shoulder was padded 30°higher. Tracheal cannula was inserted and air was piped in with high frequency jet ventilation. Three mini thoracotomies with a diameter of 2 to 3 cm were made in the 4th intercostals space of the right par sternum and the 4th and 7th intercostals spaces of the right middle axillary line respectively. An periphera extra corporeal circulation was made. the aortic clamp was clamped, cannula for cold perfusion. After the heart was sliced and a reformative operation was performed. The process of the operation of defects repairs was finished under the thoracoscope. The other operations were performed with the help of thoracoscope. 3 rheumatic heart disease patients got 25# mechanical mitral valve prosthesis. A 30# tricuspid plasty ring was applied to The Ebstein malformation patient. Results: all 121 patients were successfully operated on without death. Two VSD cases appeared transient third degree atrialventricular block.Because 4 cases had more chest drainage, so they were stanched bleeding twice. After the operation, heart murmur vanished, and ultrasonic inspection showed no diffluence inside the heart. Conclusion: Our experience showed that all atrium, ventricular septal defects can be repaired under the thoracoscope. This scope-assisted technology is more accepted by patients because of tiny incisions and also provides an alternative solution for cardiac surgeons.
基金supported by National Natural Science Foundation of China(Grant No.10801071)research fellowship for postdoctoral researchers from Alexander von Humboldt Foundation
文摘In this exposition,we show that the Hamiltonian is always constant on a compact invariant connected subset which lies in a Lagrangian graph provided that the Hamiltonian and the graph are sufficiently smooth.We also provide some counterexamples to show that if the Hamiltonian function is not smooth enough,then it may be non-constant on a compact invariant connected subset which lies in a Lagrangian graph.
