Let f be an entire function of finite lower order μ and order λ If the zeros of ff'-1 are attracted to q(<+∞) rays,then λmust be finite.Moreover,we have(i)λ≤1/2,when q=1.(ii)The magnitude of acute angle o...Let f be an entire function of finite lower order μ and order λ If the zeros of ff'-1 are attracted to q(<+∞) rays,then λmust be finite.Moreover,we have(i)λ≤1/2,when q=1.(ii)The magnitude of acute angle of these two rays is exactly equal toπ/λ,when q=2 and μ>1 (iii)There are at least two rays such that the magnitude of acute angle between them does not exceed π/λ,when q≥2展开更多
Background Left ventricular filling pressure(LVFP)is an important early indicator of heart failure that is more prevalent in Caucasians than Chinese.Exercise-induced change in LVFP may provide more incremental informa...Background Left ventricular filling pressure(LVFP)is an important early indicator of heart failure that is more prevalent in Caucasians than Chinese.Exercise-induced change in LVFP may provide more incremental information to assess dias-tolic function.But it was unknown whether there was difference in LVFP following acute exercise between Caucasians and Chinese.Purpose The purpose of this study was to investigate the change of LVFP following an acute 45-min aerobic exercise in healthy Caucasian and Chinese individuals.Methods Sixty participants(30 Caucasians and 30 Chinese,half was male,respectively)performed an acute bout of aero-bic exercise at 70%of heart rate reserve.Hemodynamics,Left ventricle(LV)morphology and function parameters were measured at baseline,then at 30-min and 60-min post-exercise.Results There was a similar LV ejection fraction,LV fraction shorten,lateral E/eʹand lateral eʹbetween Chinese and Caucasians at baseline.There was a significant race-by-time interaction in lateral E/eʹand lateral eʹbetween Chinese and Caucasians from pre-exercise to 30 min and 60 min after acute aerobic exercise.TheΔE/eʹwas significant correlated with baseline systolic blood pressure.Conclusion The change of LVFP was different between Chinese and Caucasians following acute aerobic exercise.The racial differences may be primarily caused by the changes of LV relaxation following exercise,baseline systolic blood pressure may also contribute to the differences.展开更多
In this study,we consider the global optimization problem in a hypercube.We use a class of series to construct a curve in a hypercube,which can fill the hypercube,and we present an integral function on the curve.Based...In this study,we consider the global optimization problem in a hypercube.We use a class of series to construct a curve in a hypercube,which can fill the hypercube,and we present an integral function on the curve.Based on the integral function,we propose an algorithm for solving the global optimization problem.Then,we perform a convergence analysis and numerical experiments to demonstrate the effectiveness of the proposed algorithm.展开更多
基金Project supported by the Croucher FoundationTianyuan Foundation+1 种基金partially supported by a U.P.G.C.grantHong Kong
文摘Let f be an entire function of finite lower order μ and order λ If the zeros of ff'-1 are attracted to q(<+∞) rays,then λmust be finite.Moreover,we have(i)λ≤1/2,when q=1.(ii)The magnitude of acute angle of these two rays is exactly equal toπ/λ,when q=2 and μ>1 (iii)There are at least two rays such that the magnitude of acute angle between them does not exceed π/λ,when q≥2
基金This study was funded by the National Institute of Health of USA(1R01HL093249-01A1)National Education Science Planning Program of China(BLA170225).
文摘Background Left ventricular filling pressure(LVFP)is an important early indicator of heart failure that is more prevalent in Caucasians than Chinese.Exercise-induced change in LVFP may provide more incremental information to assess dias-tolic function.But it was unknown whether there was difference in LVFP following acute exercise between Caucasians and Chinese.Purpose The purpose of this study was to investigate the change of LVFP following an acute 45-min aerobic exercise in healthy Caucasian and Chinese individuals.Methods Sixty participants(30 Caucasians and 30 Chinese,half was male,respectively)performed an acute bout of aero-bic exercise at 70%of heart rate reserve.Hemodynamics,Left ventricle(LV)morphology and function parameters were measured at baseline,then at 30-min and 60-min post-exercise.Results There was a similar LV ejection fraction,LV fraction shorten,lateral E/eʹand lateral eʹbetween Chinese and Caucasians at baseline.There was a significant race-by-time interaction in lateral E/eʹand lateral eʹbetween Chinese and Caucasians from pre-exercise to 30 min and 60 min after acute aerobic exercise.TheΔE/eʹwas significant correlated with baseline systolic blood pressure.Conclusion The change of LVFP was different between Chinese and Caucasians following acute aerobic exercise.The racial differences may be primarily caused by the changes of LV relaxation following exercise,baseline systolic blood pressure may also contribute to the differences.
基金the National Natural Science Foundation of China(No.11771275).
文摘In this study,we consider the global optimization problem in a hypercube.We use a class of series to construct a curve in a hypercube,which can fill the hypercube,and we present an integral function on the curve.Based on the integral function,we propose an algorithm for solving the global optimization problem.Then,we perform a convergence analysis and numerical experiments to demonstrate the effectiveness of the proposed algorithm.
