Hopf algebraic structures will replace groups and group representations as the leading paradigm in forthcoming times. K -theory, co-homology, entanglement, statistics, representation categories, quantized or twisted structures as well as more geometric topics of invariant theory, e.g., the Graßmann-Cayley bracket algebra are all covered by the Hopf algebraic framework. The new branch of experim...

Let A be an n× n matrix of integers. We present details of our Maple implementation of a simple modular method for computing the characteristic polynomial of A. We consider several different representations for the computation modulo primes, in particular, the use of double precision floats. The algorithm used in Maple releases 7–10 is the Berkowitz algorithm. We present some timings comparing ...

Ordinary differential equations (ODEs) are one of the important topics in engineering mathematics that lead to the understanding of technical concepts among students. This study was conducted to explore the students’ understanding of ODEs when they solve ODE questions using a traditional method as well as a computer algebraic system, particularly Maple. Ten engineering technology students from ...

kMAPLEk (speak: parallel Maple) is a portable system for parallel symbolic computation. The system is built as an interface between the parallel declarative programming language Strand and the sequential computer algebra system Maple, thus providing the elegance of Strand and the power of the existing sequential algorithms in Maple. The implementation of diierent parallel programming paradigms ...

Average annual percentage rates of change (APR) in maple syrup prices (average gallon equivalent price in the United States) in seven northeastern United States and their aggregated region were determined for the years 1916 to 2012. The price trend lines were then compared on state-by-state and region-by-state bases. Maple syrup prices across all states and the region as a whole were increasing...

1 Ola Røyrvik, Gjøvik College, Department of Technology, POBox 191, 2801 Gjøvik, Norway [email protected] Abstract  Many electrical engineering (EE) students have difficulty in learning technical subjects because they lack sufficient competence in mathematical modeling and in algebra. Maple is a powerful program for doing symbolic algebra, numerical calculation, and plotting of graphs, so using this...

With the increasing capabilities of mobile devices, there has been a growing interest in location-based services. Here we present MAPLE, a scalable peer-to-peer nearest neighbor (NN) query simulation system for mobile environments. MAPLE is designed for the efficient sharing of query results cached in the local storage of mobile peers. The most innovative aspect of the MAPLE model is its abilit...

We wish to answer the following question: what is the most appropriate language for describing the “contracts” that Maple routines offer? In this, we are seeking much more than types (which Maple does not have, at least statically), as these are not sufficiently expressive to capture what is going on. We also wish to study what is actually in Maple, rather than what should be there. Put another...

The problem solving environments (PSEs) Maple [8] and Matlab [7] are in very wide use. Although they have much in common, they are clearly distinguished by the emphasis in Maple on algebraic computation and in Matlab on numerical computation. We discuss here a program, IVPsolve, for solving numerically initial value problems (IVPs) for systems of first order ordinary differential equations (ODE...