# Maple

## HERA particle collider beam dynamics: Maple symbolic worksheet example.

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The attached worksheet was exported to PDF via LaTeX from a Maple V worksheet. It shows detailed symbolic calculations and numerical simulations for the electron beam of the HERA (electron-proton synchrotron particle collider)

## Maple zone

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The MapleTM mathematics system: for symbolic algebra, symbolic-driven numerics, data analysis, animation, and more.

While very familiar with many other symbolic algebra systems, I have most experience with the MapleTM. This Webel zone introduces MapleTM through some fun examples, and some detailed examples from real-world physics and engineering projects.

Webel Scientific IT Consultancy offers professional MapleTM symbolic algebra services: symbolic analysis, data analysis, symbolic-driven numerics, animation, scientific modelling, education and training.

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## Symbolic Algebra zone

Dr Darren says:

"I consider symbolic algebra languages and applications to be amongst the greatest technological achievements of humanity."

My interest in symbolic algebra started during my PhD research from 1989-1993 when I became interested in automating the tedious task of calculating Jacobians of numerical difference schemes for implicit gas/hydro dynamics solvers. I successfully used the REDUCE symbolic algebra system to generate FORTRAN code representing implicit integration methods, and I used it to model supernova shock waves.

Since then symbolic algebra has played a role in nearly all of my scientific activities, whether using the Maple, Mathematica, Mathcad, or MATLAB/Simulink symbolic application (thankfully the REDUCE command-line days are long gone).

I'm a symbolic algebra evangelist: I like to introduce others to the incredible possiblities of symbolic algebra at every opportunity.

My applications of symbolic algebra have included:

• Development of a symbolic algebra system for generating compilable code for implementing implicit 3D time-dependent PDE equation solvers. The system has been tested on an advanced gasdynamics solvers using adaptive gridding.
• Symbolic worksheets for modelling dust disruptions in electron particle accelerators (example: MapleV.3: HERA particle collider beam dynamics: Maple symbolic worksheet example.)
• Symbolic data analysis and visualisation of multi-dimensional datasets.

For more examples of some of my applications of symbolic algebra please visit the Maple zone.

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