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JSci is a set of open source Java packages. The aim is to encapsulate scientific methods/principles in the most natural way possible. As such they should greatly aid the development of scientific based software. It offers: abstract math interfaces, linear algebra (support for various matrix and vector types), statistics (including probability distributions), wavelets, newtonian mechanics, chart/graph components (AWT and Swing), MathML DOM implementation, ... Note: some packages, like javax.comm, for the astro and instruments package aren't listed as dependencies (not available).

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package JSci.maths.polynomials;

import JSci.maths.fields.Field;


/**
 * The vector space basis for polynomials
 * @author  b.dietrich
 */
public interface PolynomialBasis {
    /**        
     * Get the kth basis vector
     * @param k for the kth basis vector
     */
    public Polynomial getBasisVector( int k );

    /**
     * The dimension of the vector space.
     * @return the dimension
     */
    public int dimension();

    /**
     * If available, get the one- points for the polynomials
     * @return the one-points
     */
    public Field.Member[] getSamplingPoints();

    /**
     * Get a superposition of basis vectors
     * @param coeff coefficients for the superposition
     *
     * @return a superposition
     */
    public Polynomial superposition( Field.Member[] coeff );
}