## Proposal for math Package

### (0) Rationale

The Java programming language and the math extensions in commons-lang provide implementations
for only the most basic mathematical algorithms. Routine development tasks such as computing
basic statistics or solving a system of linear equations require components not available in java
or commons-lang.

Most basic mathematical or statistical algorithms are available in open source implementations,
but to assemble a simple set of capabilities one has to use multiple libraries, many of which have
more restrictive licensing terms than the ASF. In addition, many of the best open source
implementations (e.g. the R statistical package) are either not available in Java or require large
support libraries and/or external dependencies to work.

A commons-math community will provide a productive environment for aggregation, testing and
support of efficient Java implementations of commonly used mathematical and statistical algorithms.

### (1) Scope of the Package

The Math project shall create and maintain a library of lightweight, self-contained mathematics
and statistics components addressing the most common practical problems not immediately available in
the Java programming language or commons-lang. The guiding principles for commons-math will be:

- Real-world application use cases determine priority
- Emphasis on small, easily integrated components rather than large libraries with complex
dependencies
- All algorithms are fully documented and follow generally accepted best practices
- In situations where multiple standard algorithms exist, use the Strategy pattern to support
multiple implementations
- Limited dependencies. No external dependencies beyond Commons components and the JDK

### (1.5) Interaction With Other Packages

*math* relies only on standard JDK 1.2 (or later) APIs for
production deployment. It utilizes the JUnit unit testing framework for
developing and executing unit tests, but this is of interest only to
developers of the component.

No external configuration files are utilized.

### (2) Initial Source of the Package

The initial codebase will consist of implementations of basic statistical algorithms such
as the following:

- Simple univariate statistics (mean, standard deviation, n, confidence intervals)
- Frequency distributions
- t-test, chi-square test
- Random numbers from Gaussian, Exponential, Poisson distributions
- Random sampling/resampling
- Bivariate regression, corellation

and mathematical algorithms such as the following:

- Basic Complex Number representation with algebraic operations
- Newton's method for finding roots
- Binomial coefficients
- Exponential growth and decay (set up for financial applications)
- Polynomial Interpolation (curve fitting)
- Basic Matrix representation with algebraic operations

The proposed package name for the new component is
`org.apache.commons.math`.

### (3) Required Jakarta-Commons Resources

- CVS Repository - New directory
`math` in the
`jakarta-commons` CVS repository.
- Mailing List - Discussions will take place on the general
*dev@commons.apache.org* mailing list. To help
list subscribers identify messages of interest, it is suggested that
the message subject of messages about this component be prefixed with
[math].
- Bugzilla - New component "math" under the "Commons" product
category, with appropriate version identifiers as needed.
- Jyve FAQ - New category "commons-math" (when available).

### (4) Initial Committers

The initial committers on the math component shall be: