/**
 * Mathematical utilities for numerical analysis and regression.
 */
/**
 * Solve a system of linear equations Ax = B using Gaussian elimination with partial pivoting.
 *
 * @param A - Matrix coefficients
 * @param B - Right hand side vector
 * @returns Solution vector x
 */
export declare function solveLinearSystem(A: number[][], B: number[]): number[];
/**
 * Calculate R² (coefficient of determination)
 */
export declare function calculateR2(x: number[] | Float32Array, y: number[] | Float32Array, fitFn: (x: number) => number): number;
/**
 * Numerical integration using the trapezoidal rule.
 *
 * @param x - X values (must be sorted)
 * @param y - Y values
 * @param xMin - Optional start of integration range
 * @param xMax - Optional end of integration range
 */
export declare function integrate(x: number[] | Float32Array, y: number[] | Float32Array, xMin?: number, xMax?: number): number;
/**
 * Calculate numerical derivative dy/dx
 */
export declare function derivative(x: number[] | Float32Array, y: number[] | Float32Array): Float32Array;
/**
 * Calculate cumulative integral (area array)
 */
export declare function cumulativeIntegral(x: number[] | Float32Array, y: number[] | Float32Array): Float32Array;