Higher-order nondegenerate immersions of manifolds
β Scribed by Amiya Mukherjee
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 419 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## A .w of nerlral networks. in particular rite set of all rhe nellrotzs of higher-order. f~mtl.s a geortlerrical manifold. Specifically, the .set.s N,(k = 1, 2. .) of the krh order t1euron.s constitute a hierarchy of manifolds N,, > N,, , > '.' > N, , where n is rhe number of'itlputs. A natural
It has been clarified recently that an r-th order Lagrangian on a fibred manifold Y X does not determine a unique PoincarΓ©-Carran fonn provided dimX> 1 and r>2, [1], [4], [6], [9], [10]. To make this fact more transparent, we introduced a new operation generalizing the formal exterior differentiatio