对Rademacher级数sum(±u_n)from n=1 to ∞的性质进行了研究,结果表明:Rademacher级数所具有的确界原理可推导出收缩原理,而更为一般的随机级数sum(ξ_nu_n)from n=1 to ∞也可以满足确界原理,因而将收缩原理推广到了更为一般的随...对Rademacher级数sum(±u_n)from n=1 to ∞的性质进行了研究,结果表明:Rademacher级数所具有的确界原理可推导出收缩原理,而更为一般的随机级数sum(ξ_nu_n)from n=1 to ∞也可以满足确界原理,因而将收缩原理推广到了更为一般的随机级数sum(ξ_nu_n)from n=1 to ∞,从而得到了更好的结果.展开更多
Skeletal muscle is the source of human body motion.Many scholars have been studying in this field to reveal its contraction mechanism,and relevant achievements have been awarded the Nobel Prize.This paper reviewed the...Skeletal muscle is the source of human body motion.Many scholars have been studying in this field to reveal its contraction mechanism,and relevant achievements have been awarded the Nobel Prize.This paper reviewed the current researches on biomechanics of skeletal muscle,and concluded two strategies(top-down and bottom-up methods) for the biomechanical research of skeletal muscle.Moreover,this paper generalized two major aspects of muscle research:(1) the multi-force coupling mechanism and the collective operation mechanism of molecular motors;(2) the bioelectrochemical driving and control principium of muscle contraction.We discussed the solution for experimental verification and induced a novel idea to study the biomechanics of skeletal muscle based on the microscopic working mechanism of molecular motor,which is the origin of muscle contraction.Finally we analyzed the disadvantages in existent researches and explored future directions that need further studies.展开更多
文摘对Rademacher级数sum(±u_n)from n=1 to ∞的性质进行了研究,结果表明:Rademacher级数所具有的确界原理可推导出收缩原理,而更为一般的随机级数sum(ξ_nu_n)from n=1 to ∞也可以满足确界原理,因而将收缩原理推广到了更为一般的随机级数sum(ξ_nu_n)from n=1 to ∞,从而得到了更好的结果.
基金supported by the National Natural Science Foundation of China(61075101,60643002)the National Basic Research Program of China(2011CB013203)the Science and Technology Intercrossing and the Medical and Technology Intercrossing Research Foundation of Shanghai Jiao Tong University(LG2011ZD106,YG2010ZD101)
文摘Skeletal muscle is the source of human body motion.Many scholars have been studying in this field to reveal its contraction mechanism,and relevant achievements have been awarded the Nobel Prize.This paper reviewed the current researches on biomechanics of skeletal muscle,and concluded two strategies(top-down and bottom-up methods) for the biomechanical research of skeletal muscle.Moreover,this paper generalized two major aspects of muscle research:(1) the multi-force coupling mechanism and the collective operation mechanism of molecular motors;(2) the bioelectrochemical driving and control principium of muscle contraction.We discussed the solution for experimental verification and induced a novel idea to study the biomechanics of skeletal muscle based on the microscopic working mechanism of molecular motor,which is the origin of muscle contraction.Finally we analyzed the disadvantages in existent researches and explored future directions that need further studies.
