On the exponential formula for reliability
β Scribed by Finkelstein, M.S.
- Book ID
- 114668278
- Publisher
- IEEE
- Year
- 2004
- Tongue
- English
- Weight
- 109 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0018-9529
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
q-Analogues are given for the limit formulas e'=lim,+,(l -t/n)-' and e'=lim,,, (1 + t/n)'. The q-extension of the first identity is applied in proving that the probability of a q-random mapping having no fixed points approaches the reciprocal of a q-analogue of the real number e.
The well-known matrix exponentiation for linear first order systems of ODE is generalised to polynomial vector fields. The substitution process of our Exponential Formula is closely related to the usual iteration of polynomial mappings. ## 1997 Academic Press The n-dimensional linear autonomous sy