A complete analysis must build on the implicit function theorem . 完整的分析必须建立在隐函数定理的基础上。
Second part , using approximation method and implicit function theorem , we obtain the existence of large amplitude 2 - periodic bouncing for damped linear impact osillator with mutiple impacts in one period 在第二部分里,我们运用逼近框架与隐函数定理,对于带小阻尼的线性碰撞振子,证明了在一周期内发生多次碰撞的大振幅2 -周期解的存在性。
Then with implicit function theorem the flexible workspace is dealt with . by using the jacobian matrix of the hybrid input mechanism , the sensitivity of output is obtained . then the condition number of jacobian matrix is derived 进而研究平面闭链机构的柔性工作空间,并利用隐函数定理快速地推导出平面闭链5r和4rp机构的工作空间的边界条件。
In latter part of chapter three , some exciting properties of the revised lagrangian function discussed first , which leads to form a dual algorithm of cora or cot . convergence theorem proved by banach perturbation theorem , bertsekas implicit function theorem ii and by analyzing hesse matrix of revised largrangian function 另一类是构造相应的lagrange函数及其一种对偶算法的迭代格式,讨论了修正lagrange函数的性质,并借助banach扰动定理及bertsekas第h隐函数定理,及对修正lagrange函数hesse阵分析,证明了该算法的收敛性
百科解释
In multivariable calculus, the implicit function theorem is a tool which allows relations to be converted to functions. It does this by representing the relation as the graph of a function.