hi phil
could you remember to prefix all posts about math with [math] (most people
use filters on the subject).
i think i like the idea of breaking down into relatively selfcontained
subpackages. it seems that there might be later a need to be able to
break down into smaller, self contained libraries and if we're disciplined
from the start that's got to help.
i've committed some initial code submitted by phil so there's now
something to start arguing about :)
 robert
On Monday, May 12, 2003, at 03:28 PM, Phil Steitz wrote:
> I am thinking along the following lines re organization of the initial
> codebase for commonsmath(assuming we decide to move forward). Since I
> am trying to refactor the various odds and ends that I have to contribute
> along these lines, I would appreciate some feedback on the structure.
> Obviously,this is a very preliminary "straw man." Any and all ideas are
> welcome.
>
> Highlevel organization
> 
>
> commonsmath
> analysis
> complex
> discrete
> linear
> simulation
> stat
>
> Contents of the subpackages
> 
> Everything could probably initially be placed in one package, but I would
> like to at least settle on a conceptual model for how things are
> organized. It might also make sense in some cases to separate out an
> "Impl" package for different implementation strategies.
>
> analysis
> 
> Commonlyused univariate numerical analysis techniques and useful
> formulas extending java.Math
>
> Target for initial release:
>
> * root finding
> * polynomial interpolation
> * error bounds estimation
> * exponential growth and decay computations (set up for financial
> applications)
>
>
> complex
> 
> Representation and algebraic operations on complex numbers
>
> Target for initial release:
>
> * basic complex number class with algebraic operations
>
>
> discrete
> 
> Basic methods and models from discrete math
>
> Target for initial release:
>
> * binomial coefficients
>
>
> linear
> 
> Most commonly used numerical linear algebra techniques
>
> Target for the initial release:
>
> * basic real matrix class including algebraic operations and
> support for solving linear systems
>
>
> simulation
> 
> Mathematical tools to support simulation
>
> Target for the initial release:
>
> * Data generation class capable of generating random numbers
> from uniform, gaussian, poisson, or exponential distributions; by
> replaying data from an input file; by resampling from a vector; or by
> generating random values from an empirical distribution
> based on an input file.
>
> stat
> 
> Commonlyused statistical techniques
>
> Target for the initial release:
>
> * Univariate  simple runningsums based univariate stats and
> confidence intervals not requiring all data values to be stored in
> memory and supporting a "rolling" capability (capability to base
> statistics on most recently observed values)
> * Frequencies  simple frequency counts/distribution.
> * Regression  simple linear regression and bivariate corellation
> * Tests  ttest, chisquare test
> * Sampling  select random samples with/without replacement from
> Collections
> * Resampling  boostrap confidence intervals
>
>
> Phil
>
>
>
>
> 
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