MTN Volume 1 Number 1, Spring 1994

Extended Functionality (Maple V Release 3)

Maple V Release 3
M.B. Monagan

A brief summary of the additional features available in the newest release of Maple.

Tips for Maple Users
M.B. Monagan

Discussions of unapply, scoping rules, programming operators, and zero recognition and simplification in Maple.

Simplification and the Assume Facility
R. Corless, M.B. Monagan

This is a description of Maple's assume facility. It includes examples of how assume is used to solve problems and how it is integrated into Maple. It also discusses the limitations of this facility and proposes how Maple should evolve to a "lastproviso" model of computation.

Random Number Generation and Testing
Z.A. Karian, R. Goyal

This is a functionality article in the area of random number generation which provides performance figures for the rand function.

Maple in Research

Gaia: A Package for the Random Generation of Combinatorial Structures
P. Zimmermann

This is an expository article on a Maple implementation called Gaia which is a package that helps count and draw random combinatorial structures of various sorts.

Kinematic and Power-Flow Analysis of Epicyclic Gear Drives
N.P. Belfiore, E. Pennestri, R. Sinatra

In the area of mechanical enginnering, this article presents a Maple-based approach to gear analysis which is relatively unique in mechanical design and could be of value to others in the field. Its two unique contributions are in the areas of graph-theoretic analysis of mechanical networks, and symbolic approaches to mechanical analysis.

On Solving the McConnell Equations in Biochemistry
J. Grotendorst, P. Jansen, S.M. Schoberth

This article presents an application in the area of Nuclear Magnetic Resonance (NMR) spectroscopy. It demonstrates various ways of how the McConnell equations can be solved analytically using Maple and verifies solutions found in the literature. It also indicates computation techniques of mixed symbolic-numeric type for the determination of the formal parameters involved in the solutions.

Modeling Snow Transport, An Application of Maple
C. Hoffmann

This article describes the application of Maple to a problem in hydrology.

Maple in Education

Maple in Education - Part II
T.C. Scott, M.B. Monagan, R. Pavelle, D. Redfern

This article presents some educational examples in Physics, Chemistry and Engineering prepared on worksheets using Maple. This article is a sequel to "Maple in Education" as presented in issue no.7 of this newsletter and is co-authored with M.B. Monagan, R. Pavelle and D. Redfern.

A Separable Differential Equation: New Insights
R.J. Lopez

This is a Maple worksheet which presents some simple applications of Maple to solving ordinary differential equations.

Thermodynamics with Maple V: II, Phase Equilibria in Binary Systems
R. Taylor

This is a readable article in the area of thermodynamics which shows how Maple can be used to perform some simple phase equilibrium calculations, create phase diagrams and interpret data. Its contents could be also be useful to workers using Graph Theory in other areas.