Distributional derivation of an asymptotic expansion

Behavior of poroelastic isotropic beam derivation by asymptotic expansion method

Distributional Term Set Expansion

This paper is a short empirical study of the performance of centrality and classification based iterative term set expansion methods for distributional semantic models. Iterative term set expansion is an interactive process using distributional semantics models where a user labels terms as belonging to some sought after term set, and a system uses this labeling to supply the user with new, cand...

Justification of an asymptotic expansion at infinity

A family of asymptotic solutions at infinity for the system of ordinary differential equations is considered. Existence of exact solutions which have these asymptotics is proved.

An asymptotic expansion inspired by Ramanujan yRichard

Corollary 2, Entry 9, Chapter 4 of Ramanujan's rst notebook claims that 1 X k=1 (?1) k?1 nk x k k! n ln x + as x ! 1. This is known to be correct for the case n = 1, but incorrect for n 3. We show that the result is correct for n = 2. We also consider the order of the error term, and discuss a diierent, correct generalisation of the case n = 1.

Computation in an Asymptotic Expansion Method

An asymptotic expansion scheme in finance initiated by Kunitomo and Takahashi [15] and Yoshida[68] is a widely applicable methodology for analytic approximation of the expectation of a certain functional of diffusion processes. [46], [47] and [53] provide explicit formulas of conditional expectations necessary for the asymptotic expansion up to the third order. In general, the crucial step in p...