Mark R. Diggory wrote:
> ... There is significant number of us with an interest in seeing
> numerically sound implementations of various aspects of mathematics
> in java... Suffice it to say that java
> implementations do provide an elegant means to explore ideal Design
> Patterns for Mathematical packages and provide a foundation for
> exploring how to "bridge" java with other languages that may be more
> optimized to handle such computations. These are noble goals.
Agreed. I can see the development of higher level APIs as a major
goal for [math].
Interestingly, there are quite a few directions to pursue.
One major direction is floating point number crunching, in
particular
 engineering and physics support, including large equation
systems, ODE, PDE, numerical integration, continuus
optimization, large eigenvalue problems, integral equations
 computer geometry support, mainly CSG
 computer graphics
The other rough direction is discrete math:
 number theory
 graph theory (we've got [graph])
 planning and discrete optimization
 encryption
The "application" branch, somewhat randomly choosen keywords
 CAS
 data visualization, including curve fitting, descriptive statistics,
adaptive filtering and isosurface detection
 neural networks and machine learning in general
 diagram layout, general graph layout
 3D modelling and rendering
 ERP
 network simulation
Well, the utility of [math] for real world heavy number crunching (the
very first point above) will always be limited. Other directions seems
to be more interesting in terms of getting people using it in real
world applications.
J.Pietschmann

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