# MTN Issue 6, Fall 1991

## Functionality (Maple V)

**Numerical Integration using Symbolic Analysis**

*Keith O. Geddes*
- This article documents Maple's implementation for the numerical
evaluation of definite integrals (
`evalf/int`

).
**Computations on the 3n+1 Conjecture**

*Gaston H. Gonnet*
- The 3n+1 sequence has probably consumed more CPU time than any
other theoretic conjecture. This article demonstrates that even Maple
does not escape being used to tackle this problem.

## Applications

**Archimedes' Theorem of the Broken Chord**

*Anu K. Pathria*
- This is article uses Maple to resolve a basic geometrical problem
and represents the very first Newsletter article to be written on a
Maple worksheet.
**Packing Circles in a Square**

*R. Peikert, D. Wurtz, M. Monagan and C. de Groot*
- This is a very interesting application of Maple to the problem of
optimally packing circles within a square. This type of problem is
often encountered in areas of science such as, for example, finding
out the most dense packing of atoms or molecules within a crystal or
macro-molecule.
**Queuing Analysis of Multiprocessing**

*Sanjay Radia and Tony C. Scott*
- This article presents an application of Maple to queuing analysis
and may be of use to those interested in performance analysis, data
communications and computer networking.
**Applications of Maple to Mathematical, Scientific and Engineering
Problems**

*Tony C. Scott, Michael B. Monagan, Greg Fee and Robert Corless*
- The applications described in this review article range from
Fermat's Last Theorem to Quantum Mechanics, to Audio Engineering, to
General Relativity to Asbestos Fiber Analysis to Fluid Mechanics.
Although brief, this review articles gives some idea of the potential
and versatility of the Maple system as a problem-solving tool in
research.

HTML originally written by Reid M. Pinchback

Copyright 1996, Massachusetts Institute of Technology

Last modified: 96/09/25
*(reidmp@mit.edu)*