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Math and Calculations
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Colt
High performance scientific and technical computing data structures and methods. (Open Source, Attribution)
http://tilde-hoschek.home.cern.ch/~hoschek/colt/index.htm

ArciMath BigDecimal
Fast and improved BigDecimal class. [Commercial/Free]
http://users.belgacombusiness.net/arci/math/

32-bit Cyclic Redundancy Check (CRC) class
This check is used in numerous systems to verify the integrity of information. It's also used as a hashing function. [Open Source, Public Domain]
http://www.theorem.com/java/CRC32.java

JMatLink
Connects Java and MATLAB. Native methods make it possible to use MATLAB's computational engine inside your own java applications, applets and servlets. [Freeware, source available]
http://www.held-mueller.de/JMatLink/

Decimal Arithmetic for Java
Improved BigDecimal class from IBM. [Open source]
http://www2.hursley.ibm.com/decimalj/

Mersenne Twister Pseudo Random Number Generator Classes
Offers multiple replacement implementations for java.util.Random. [Open Source]
http://www.theorem.com/java/Free.htm#MT

JSpline+
For spline approximation, core matrix operations, and linear system solutions. [Commercial w/demo]
http://www.excelsior-usa.com/jspline/

JeksParser
Parses and computes expressions or functions primarily for use in spreadsheet applications such as the example provided. [Beta Evaluation]
http://www.eteks.com/jeks/en/

Java Numerics
Working group that offers presentation, news, and libraries related to numerical computing.
http://math.nist.gov/javanumerics/

Math Parser
Package to parse and evaluate mathematical expressions at runtime. [Commercial]
http://www.bestcode.com/html/jbcparser.html

Significant Figures
Handles parsing, rounding, and displaying numbers for scientific applications.
http://ostermiller.org/utils/SignificantFigures.html

JEPLite
A light-weighted (re)implementation of the Java Expression Parser (jep.sourceforge.net). The intention is to strip some of its not-so-often-used features, and thus speeding the rest. Includes expression optimizer. [Open source, GPL]
http://jeplite.sourceforge.net/

JFormula
A Java library for evaluating mathematical expression. It is compatible with the JDK 1.1 and later. [Shareware]
http://www.japisoft.com/

JEP - Java Mathematical Expression Parser
Java classes for parsing and evaluating mathematical expressions. Supports multiple variables and user-defined functions. [Open source, GPL or commercial]
http://www.singularsys.com/jep/

JTKEvaluator
An advanced Java expression evaluator for adding high-performance, mathematical, Boolean and functional expression parsing and evaluation to Java applications. Time restricted evaluation version. [Open source, Commercial]
http://rollingsoft.com/JToolkit/jtkevaluator.htm

ILOG JSolver
A pure Java constraint-programming engine and a pure Java optimization library. [Commercial]
http://www.ilog.com/products/jsolver/

Java Financial Library
A library and quick application for financial software. [Open source, LGPL]
http://www.neuro-tech.net/archives/000032.html

JMP - Sparse matrix library
A library for sparse matrix computations. Includes a sparse BLAS, many iterative solvers for different problems, sparse matrix I/O and parallelization. [Open source, GPL]
http://www.math.uib.no/~bjornoh/jmp/

FPLib
A small Java class that implements methods to perform arithmetic operations on 16:16 fixed-point numbers. [Open source, MIT license]
http://www.geocities.com/andre_leiradella/#fplib



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