org.jscience.mathematics.function

Package org.jscience.mathematics.function

Provides support for fairly simple symbolic math analysis (to solve algebraic equations, integrate, differentiate, calculate expressions, and so on).

See: Description

Package org.jscience.mathematics.function Description

Provides support for fairly simple symbolic math analysis (to solve algebraic equations, integrate, differentiate, calculate expressions, and so on).

Functions defined in this package can be multivariate and operate on various kind of objects such as physical measurements, vectors, matrices, all types of numbers or even the functions themselves (functions of functions)! Here is an example using complex polynomial functions:

        // Defines two local variables (x, y).        Variable<Complex> varX = new Variable.Local<Complex>("x");        Variable<Complex> varY = new Variable.Local<Complex>("y");        // f(x) = ix\xc2\xb2 + 2x + 1        Polynomial<Complex> x = Polynomial.valueOf(Complex.ONE, varX);        Polynomial<Complex> fx = x.pow(2).times(Complex.I).plus(            x.times(Complex.valueOf(2, 0)).plus(Complex.ONE));        System.out.println(fx);        System.out.println(fx.pow(2));        System.out.println(fx.differentiate(varX));        System.out.println(fx.integrate(varY));        System.out.println(fx.compose(fx));        // Calculates expression.        varX.set(Complex.valueOf(2, 3));         System.out.println(fx.evaluate());       > [0.0 + 1.0i]x^2 + [2.0 + 0.0i]x + [1.0 + 0.0i]       > [-1.0 + 0.0i]x^4 + [0.0 + 4.0i]x^3 + [4.0 + 2.0i]x^2 + [4.0 + 0.0i]x + [1.0 + 0.0i]       > [0.0 + 2.0i]x + [2.0 + 0.0i]       > [0.0 + 1.0i]x^2y + [2.0 + 0.0i]xy + [1.0 + 0.0i]y       > [0.0 - 1.0i]x^4 + [-4.0 + 0.0i]x^3 + [-2.0 + 6.0i]x^2 + [4.0 + 4.0i]x + [3.0 + 1.0i]       > -7.0 + 1.0i       

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