Multiple Integrals, Partial Derivatives
- To: mathgroup at smc.vnet.net
- Subject: [mg6561] Multiple Integrals, Partial Derivatives
- From: Guangliang He <ghe at superlink.net>
- Date: Tue, 1 Apr 1997 19:00:57 -0500 (EST)
- Organization: SuperNet Inc. (908) 828-8988
- Sender: owner-wri-mathgroup at wolfram.com
Q1. How can I let MMA symbolically evaluate a general N-dim
multiple definite integral? For example
\int d^n x exp(-x'Ax/2+x'b)
where x is a n-vector, b is also a n-vector, A is a
symmetric P.D. n by n matrix.
Q2. How can I let MMA evaluate the following partial
derivatives?
f(x) = exp(-x' A x / 2 + x' b)
\partial f / \partial x_i
\partial^2 f / (\partial x_i \partial x_j)
....
\partial^8 f / (\partial x_{i_1} \partial x_{i_2} ....\partial
x_{i_8}
where x is a n-vector, b is also a n-vector, A is a
symmetric P.D. n by n matrix.
Thank you very much.
--
Guangliang He
mailto:ghe at superlink.net