The shooting state during shooting refers to the basketball’s shooting speed,shooting angle and the ball’s rotation speed.The basketball flight path is also related to these factors.In this paper,based on the three ...The shooting state during shooting refers to the basketball’s shooting speed,shooting angle and the ball’s rotation speed.The basketball flight path is also related to these factors.In this paper,based on the three forces of Gravity,Air Resistance and Magnus Force,the“Three Forces”model is established,the Kinetic equations are derived,the basketball flight trajectory is solved by simulation,and the best shot state when shooting is obtained through the shooting percentage.Compared with the“Single Force”model that only considers Gravity,the shooting percentage of the“Three Forces”model is higher.The reason is that the Magnus Force generated by considering the basketball rotation speed is considered.Although in the“Three Forces”model,the shot speed is faster and the shot is harder,the backspin will reduce the angle of the shot and achieve the goal of saving effort.By calculating the best shot state and giving the athlete’s usual training state range,you can guide the training,thereby improving the athlete’s shooting percentage during the game.展开更多
In this paper, authors consider the existence, uniqueness and nonexistence of the radial ground state to the following p-laplacian equation: Delta(p)u + u(q) - \Du\(sigma) = 0, x epsilon Rn, where 2 less than or equal...In this paper, authors consider the existence, uniqueness and nonexistence of the radial ground state to the following p-laplacian equation: Delta(p)u + u(q) - \Du\(sigma) = 0, x epsilon Rn, where 2 less than or equal to p < n, q is subcritical exponent, i.e. p < p* - 1 = [n(p - 1) + p]/(n - p), sigma > 0. Applying the shooting argument, Schauder's fixed point theorem and some delicate estimates of auxiliary funtions, they study the influence of the parameters n, p, q, sigma > 0 on the existence, uniqueness and nonexistence of the radial ground state to the above p-laplacian equation.展开更多
In this paper, the axisymmetric buckled states of an annular sandwich plate ( Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer ed...In this paper, the axisymmetric buckled states of an annular sandwich plate ( Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer edge are studied. Firstly, the basic equation of the buckled problem is derived. Secondly, the critical loads for some parameters are obtained by using the shooting method. Finally, we discuss the existence of the buckled slates in the vicinity of the critical loads and obtain the asymptotic expansions of the buckled states.展开更多
Using the shooting argument and an approximating method, this paper isconcerncd with the existence of fast-decay ground state of p-Laplacian equation: Apu＋f(u)=0, in Rn, where f(u) behaves just like f(u) = uq - us, a...Using the shooting argument and an approximating method, this paper isconcerncd with the existence of fast-decay ground state of p-Laplacian equation: Apu＋f(u)=0, in Rn, where f(u) behaves just like f(u) = uq - us, as s>q>np/(n-p) - 1.展开更多
基金This work was supported by College Students Practice Innovation Training Program of NUIST[201910300292].
文摘The shooting state during shooting refers to the basketball’s shooting speed,shooting angle and the ball’s rotation speed.The basketball flight path is also related to these factors.In this paper,based on the three forces of Gravity,Air Resistance and Magnus Force,the“Three Forces”model is established,the Kinetic equations are derived,the basketball flight trajectory is solved by simulation,and the best shot state when shooting is obtained through the shooting percentage.Compared with the“Single Force”model that only considers Gravity,the shooting percentage of the“Three Forces”model is higher.The reason is that the Magnus Force generated by considering the basketball rotation speed is considered.Although in the“Three Forces”model,the shot speed is faster and the shot is harder,the backspin will reduce the angle of the shot and achieve the goal of saving effort.By calculating the best shot state and giving the athlete’s usual training state range,you can guide the training,thereby improving the athlete’s shooting percentage during the game.
文摘In this paper, authors consider the existence, uniqueness and nonexistence of the radial ground state to the following p-laplacian equation: Delta(p)u + u(q) - \Du\(sigma) = 0, x epsilon Rn, where 2 less than or equal to p < n, q is subcritical exponent, i.e. p < p* - 1 = [n(p - 1) + p]/(n - p), sigma > 0. Applying the shooting argument, Schauder's fixed point theorem and some delicate estimates of auxiliary funtions, they study the influence of the parameters n, p, q, sigma > 0 on the existence, uniqueness and nonexistence of the radial ground state to the above p-laplacian equation.
基金The projcct supported by the National Natural Science Foundation of China
文摘In this paper, the axisymmetric buckled states of an annular sandwich plate ( Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer edge are studied. Firstly, the basic equation of the buckled problem is derived. Secondly, the critical loads for some parameters are obtained by using the shooting method. Finally, we discuss the existence of the buckled slates in the vicinity of the critical loads and obtain the asymptotic expansions of the buckled states.
文摘Using the shooting argument and an approximating method, this paper isconcerncd with the existence of fast-decay ground state of p-Laplacian equation: Apu＋f(u)=0, in Rn, where f(u) behaves just like f(u) = uq - us, as s>q>np/(n-p) - 1.
