Why do partitions occur in Faa di Bruno's chain rule for higher derivatives?
| dc.creator | Levy, Eliahu | |
| dc.date | 2006-02-09 | |
| dc.date.accessioned | 2026-07-07T07:03:15Z | |
| dc.date.available | 2026-07-07T07:03:15Z | |
| dc.description | It is well-known that the coefficients in Faa di Bruno's chain rule for higher derivatives can be expressed via numeration of partitions. It turns out that this has a natural form as a formula for the vector case. To this formula two proofs are presented, both "explaining" its form involving partitions: one as a purely algebraic fact, and one "from first principles" for the case of Frechet derivatives of mappings between Banach spaces. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602183 | |
| dc.identifier | http://arxiv.org/abs/math/0602183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108902 | |
| dc.subject | General Mathematics | |
| dc.subject | Functional Analysis | |
| dc.title | Why do partitions occur in Faa di Bruno's chain rule for higher derivatives? | |
| dc.type | text |