jacobis造句

• In the part of discussion , the suitability of the jacobi elliptic function expansion method is also studied by proposing the " rank " . and we firstly point out that when the " ranks " of every term of the nonlinear evolution equation are simultaneously even or odd , the method can be used to solve the equation
  为了讨论了jacobi椭圆函数展开法的适用性问题，我们最先引进“秩”的概念，指出只要非线性发展方程的各项的“秩”满足相同的奇偶性，就可以用这种展开法求解。
• At first , the robust h control for uncertain nonlinear systems with norm bounded uncertainties is studied , based on a positive definite solution of hamilton - jacobi - issacs inequality ( hji ) , a sufficient condition is given such that the closed loop system is asymptotically stable and its l2 - gain is less than or equal to a prescribed value . using this condition state feedback control law and an output feedback control law which ensured robust hx performance of the closed - loop system are derived . due to the difficulty to solve hji , a method is proposed which do not require solving it by using an appropriate lyapunov function
  首先，研究了范数有界型不确定非线性系统鲁棒h _控制问题，基于hamilton - jacobi - issacs不等式( hji ) ，给出了闭环系统渐近稳定且l _ 2 -增益有限的状态反馈和输出反馈设计算法。考虑求解hji的困难性，针对不确定非线性系统，通过适当地选择lyapunov函数，提出了求解非线性系统鲁棒h _控制问题的算法，可以避免求解hji 。
• After giving the legendre polynomials approximation to parametric speed of the curve , the author gives the jacobi polynomials approximation to parametric speed with endpoints interpolation . from this , two algebraic offset approximation algorithms , which preserve the direction of normal , are derived
  给出了曲线参数速度的legendre多项式逼近，进一步给出了参数速度的插值区间端点的jacobi多项式逼近，由此导出了保持法矢平移方向的两个等距代数有理逼近算法
• Chapter5 : the recently developed method of hyperbolic tangent function expansion is extended and new function transformation is applied to construct some new solitary solutions of kdv equation and klein - gordon equation and the jacobi elliptic function expansion method , which is advanced in 2001 , and the extended method of doubly jacobi function expansion are used to construct the exact solutions of a kind of nonlinear evolution equations
  第五章对近年来发展起来的双曲正切函数展开法加以改进，采用新的变换函数，得到了kdv方程和非线性klein - gordon方程的一些新的孤立波解。其次，分别采用2001年提出的jacobi椭圆函数展开法和本文由此扩展而来的双椭圆函数展开法，求解了一大类非线性发展方程，得到了一系列新的周期解。
• In chapter two , the general model of the optimum investment , consumption and periodical insurance payable at death for life is discussed and its corresponding optimum control question is solved . the optimum strategy can be got through the corresponding hib ( hamilton - jacobi - bellman ) equation . as to the crra ( constant relative risk aversion ) , a sort of utility function , indicatively , the optimum investment process , consumption process and the periodical insurance payable at death for life purchasing process can be gained with the feedback form
  第二章讨论最优消费、投资、定期人寿死亡保险的一般模型，解决了对应的最优控制问题，最优策略可通过求解hjb ( hamilton一jaeobi一bellman )方程得到，当效用函数为crra (常数相对风险厌恶)类型时，显式地得到具有反馈形式的最优投资过程、消费过程及定期人寿死亡保险购买过程。
• We improve this method as follows : ( 1 ) single jacobi elliptic function is replaced with an unified jacobi elliptic equation , thus repeated calculation is avoided ; ( 2 ) extending the expansion method from sole - function to double - function form , the more solutions for npde are obtainted ; ( 3 ) using many of jacobi elliptic functions besides ordinary three kinds , the content of solutions represented by jacobi elliptic by the jacobi elliptic function expansion method and computer functions is very abundant
  我们对此方法做了如下几点改进：用统一的jacobi椭圆方程组代替单个的jacobi椭圆函数，避免重复计算；将jacobi椭圆单函数展开方法推广到jacobi椭圆双函数展开，这样可以得到更多的解；将通常使用的三个jacobi椭圆函数推广到多个jacobi椭圆函数，丰富了用jacobi椭圆函数表示的解的内容。利用改进的jacobi椭圆函数展开法，求解了bbm方程和boussinesq方程组。