/**
 * @fileoverview Foundational mathematical constants for the CodyMath library.
 * @version 0.8.0
 * @license MIT
 * @author Jackson Douglas de Souza
 * @see {@link https://www.linkedin.com/in/jacksondouglasdsouza/|LinkedIn}
 * @see {@link https://github.com/jacksondouglasdesouza|GitHub}
 * @description This module provides a centralized and reliable source for fundamental mathematical constants.
 * It includes transcendental numbers (like π and e), number-theoretic constants (like γ),
 * and essential conversion factors used across science, engineering, and mathematics.
 *
 * Each constant is defined to the highest possible precision within the standard
 * IEEE 754 double-precision format used by JavaScript numbers. The values are rigorously
 * cross-referenced with authoritative sources to ensure their accuracy and adherence
 * to international standards.
 * @see
 * Sources & References:
 * 1. National Institute of Standards and Technology (NIST). (2023). *Digital Library of Mathematical Functions*. U.S. Department of Commerce. Retrieved from https://dlmf.nist.gov/
 * 2. Wolfram Research, Inc. *Wolfram MathWorld*. Retrieved from https://mathworld.wolfram.com/
 * 3. Spiegel, M. R., et al. (2018). *Schaum's Outline of Mathematical Handbook of Formulas and Tables, 5th Edition*. McGraw-Hill Education.
 * 4. ECMA International. (2025). *ECMAScript® 2025 Language Specification*. Retrieved from https://tc39.es/ecma262/
 */
/**
 * An object containing fundamental mathematical constants.
 */
export declare const constants: {
    /**
     * Pi (π), the ratio of a circle's circumference to its diameter.
     * @value 3.141592653589793
     */
    pi: number;
    /**
     * Euler's number (e), the base of the natural logarithm.
     * @value 2.718281828459045
     */
    e: number;
    /**
     * The golden ratio (φ), the positive root of x^2 = x + 1.
     * Equals (1 + √5) / 2 and appears throughout geometry, art, and nature.
     * @value 1.618033988749895
     */
    phi: number;
    /**
     * Tau (τ), the ratio of a circle's circumference to its radius (2π).
     * Represents one full turn in radians.
     * @value 6.283185307179586
     */
    tau: number;
    /**
     * The square root of 2 (√2), known as Pythagoras' constant.
     * The diagonal of a unit square, and the first number proven irrational.
     * @value 1.4142135623730951
     */
    sqrt2: number;
    /**
     * The square root of 3 (√3), known as Theodorus' constant.
     * The space diagonal of a unit cube; also (√3)/2 is an equilateral triangle's height.
     * @value 1.7320508075688772
     */
    sqrt3: number;
    /**
     * The square root of 5 (√5).
     * The core of the golden ratio: φ = (1 + √5) / 2.
     * @value 2.23606797749979
     */
    sqrt5: number;
    /**
     * The reciprocal square root of 2 (1/√2 = √½), equal to √2 / 2.
     * The value of sin(45°) = cos(45°); common in geometry and signal RMS.
     * @value 0.7071067811865476
     */
    sqrt1_2: number;
    /**
     * The natural logarithm of 2 (ln 2).
     * Key to half-life and decay, information theory, and logarithm base changes.
     * @value 0.6931471805599453
     */
    ln2: number;
    /**
     * The natural logarithm of 10 (ln 10).
     * Bridges natural and base-10 logs: log₁₀(x) = ln(x) / ln 10.
     * @value 2.302585092994046
     */
    ln10: number;
    /**
     * The base-2 logarithm of e (log₂ e), the reciprocal of ln 2.
     * Converts natural logs to base 2: log₂(x) = ln(x) · log₂ e.
     * @value 1.4426950408889634
     */
    log2e: number;
    /**
     * The base-10 logarithm of e (log₁₀ e), the reciprocal of ln 10.
     * Converts natural logs to base 10: log₁₀(x) = ln(x) · log₁₀ e.
     * @value 0.4342944819032518
     */
    log10e: number;
    /**
     * Catalan's constant (G), defined by the series Σ (−1)ⁿ / (2n+1)².
     * Appears in combinatorics, definite integrals, and lattice sums.
     * Whether it is irrational is still an open problem.
     * @value 0.915965594177219
     */
    catalan: number;
    /**
     * Apéry's constant (ζ(3)), the Riemann zeta function at 3: Σ 1/n³.
     * Proven irrational by Roger Apéry in 1979. Shows up in quantum
     * electrodynamics and in the statistics of random spanning trees.
     * @value 1.2020569031595942
     */
    apery: number;
    /**
     * The golden angle (in radians), π·(3 − √5) ≈ 137.5°.
     * The angle that divides a turn by the golden ratio; nature uses it to
     * pack leaves and seeds (phyllotaxis) without overlap.
     * @value 2.399963229728653
     */
    goldenAngle: number;
    /**
     * The plastic number (ρ), the real root of x³ = x + 1.
     * The "three-dimensional" analogue of the golden ratio (which solves x² = x + 1).
     * Drives the Padovan and Perrin sequences; used in design and architecture.
     * @value 1.324717957244746
     */
    plasticNumber: number;
    /**
     * The Euler-Mascheroni constant (γ), often referred to as Euler's constant.
     * @value 0.5772156649015329
     */
    eulerMascheroni: number;
    /**
     * The constant e to the power of gamma (e^γ).
     * It is one of the Mertens' constants, appearing in number theory.
     * @value 1.781072417990198
     */
    eToTheGamma: number;
    /**
     * The square root of Euler's number (√e).
     * @value 1.6487212707001282
     */
    sqrtE: number;
    /**
     * The square root of Pi (√π), also related to the Gamma function as Γ(1/2).
     * @value 1.772453850905516
     */
    sqrtPi: number;
    /**
     * The value of the Gamma function Γ(1/3).
     * @value 2.6789385347077475
     */
    gammaOneThird: number;
    /**
     * The value of the Gamma function Γ(1/4).
     * @value 3.625609908221908
     */
    gammaOneFourth: number;
    /**
     * The conversion factor from radians to degrees (180/π).
     * @value 57.29577951308232
     */
    radToDeg: number;
    /**
     * The conversion factor from degrees to radians (π/180).
     * @value 0.017453292519943295
     */
    degToRad: number;
};