Rational Function Generation

Rational function generation involves creating mathematical expressions called rational functions, which are ratios of two polynomials (polynomial numerator and denominator). This process typically uses known data points or desired behaviors to construct functions that accurately model relationships or predict outcomes. Techniques include fitting data through methods like polynomial approximation, continued fractions, or other algorithms that derive rational functions which mimic complex real-world systems. Rational functions are valued for their flexibility in representing asymptotic behavior and nonlinear dynamics, making them useful in control systems, signal processing, and mathematical modeling.