在解析情况下,这称为解析隐函数定理(analytic implicit function theorem)。 proof for 2D case 假设 F:\mathbb{R}^2 \rightarrow \mathbb{R} 是一个连续可微函数,定义一条曲线 F(\mathbf{r})=F(x, y)=0。令 \left(x_0, y_0\right) 为曲线上的一个点。上述定理的陈述可以针对这个简单情况重写如下...
隐函数定理(Implicit Function Theorem)。假设 是的开子集,并且是类的函数。还假设S是Rn+k的开子集(open subset),并且F:S→Rk是类C的函数1。还假设(a,b) 是S 中的一个点,使得 F(a,b)=0 and detDyF(a,b)≠0.i.那么存在 使得对于每个使得,中存在唯一的,使得r0,r1>0使得对于每个x∈Rn使得|x...
pairing function theorem 【计】 配对函数定理 inverse function theorem 反函数定理 implicit in phr. 固有的,无疑问的 implicit differentiation 隐微分法 implicit consent 【经】 默许 相似单词 implicit a. 1.暗示的,盲从的,含蓄的,固有的,绝对的 2.无疑的,无保留的,完全的 theorem n.【术语】(尤...
Implicit function theorem in Carnot-Caratheodory spaces. Commun. Contemp. Math., 8(5):657-680, 2006.G. Citti, M. Manfredini, Implicit function theorem in Carnot-Carath´eodory spaces, Commun. Contemp. Math. 8, 5, (2006), 657-680....
目录 4.1 The Inverse Function Theorem The Implicit Function Theorem 4.3 Curves and Surfaces 4.4 The Morse LemmaChapter 4 Inverse Function Theorem这个章节讲得很好, 还引用了庄子秋水中的一段话, 大佬啊.4.1 The Inverse Function Theorem映射F:Rn→RmF:Rn→Rm在...
The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential...
Next we find hypotheses so that the equation f(x, y) = 0 can be uniquely solved, locally, in the form y = g(x), where the function g is as smooth as f is. (3.1.10) Implicit Function Theorem Let X, Y, and Z be Banach spaces. Suppose f(x, y) is a continuous mapping of ...
The Implicit Function Theorem 作者:[美] Harold R·Parks/[美] Steven G·Krantz 出版社:Springer Verlag 副标题:History,Theory and Applications 出版年:2002-4 页数:180 定价:$ 95.99 装帧:HRD ISBN:9780817642853 豆瓣评分 评价人数不足 评价: 写笔记...
1.By using the implicit function theorem, the condition of flexible workspace boundary of a plane closed loop five bar mechanism was derived.应用隐函数定理 ,推导出平面闭链五杆机构柔性工作空间边界的条件 ,即输出杆与相连的连架杆共线及另一连架杆与相连的连杆共线 。 2.The existence of classical ...
Related to implicit function:Implicit function theorem [im′plis·ət ′fəŋk·shən] (mathematics) A function defined by an equation ƒ(x,y) = 0, whenxis considered as an independent variable andy, called an implicit function ofx, as a dependent variable. ...