• Methods of computing square roots are algorithms for approximating the non-negative square root S {\displaystyle {\sqrt {S}}} of a positive real number...
    71 KB (12,343 words) - 18:39, 30 December 2024
  • Thumbnail for Newton's method
    case of concavity, this modification coincides with the standard Newton method. Newton's method is one of many known methods of computing square roots. Given...
    68 KB (8,564 words) - 17:13, 30 December 2024
  • integer square root calculation in addition to the general case or can be extended by libraries to this end. Methods of computing square roots The square roots...
    25 KB (3,183 words) - 22:18, 1 January 2025
  • Thumbnail for Fast inverse square root
    such as CORDIC. Methods of computing square roots § Approximations that depend on the floating point representation Magic number Use of the type long reduces...
    34 KB (4,526 words) - 09:02, 29 December 2024
  • Thumbnail for Cube root
    (section 2.5). Methods of computing square roots List of polynomial topics Nth root Square root Nested radical Root of unity "In Search of a Fast Cube Root"...
    13 KB (2,034 words) - 15:32, 1 January 2025
  • function nth root (radical) Surd Square root Methods of computing square roots Cube root Root of unity Constructible number Complex conjugate root theorem...
    5 KB (441 words) - 01:35, 1 December 2023
  • Thumbnail for Square number
    involving several squares Integer square root – Greatest integer less than or equal to square root Methods of computing square roots – Algorithms for calculating...
    17 KB (2,534 words) - 23:50, 11 August 2024
  • Thumbnail for Nested intervals
    Babylonians discovered a method for computing square roots of numbers. In contrast, the famed Archimedes constructed sequences of polygons, that inscribed...
    22 KB (4,101 words) - 14:20, 2 December 2024
  • implementation of division (see division algorithm) and square root (see methods of computing square roots) operations, thus eliminating the need for dedicated...
    14 KB (1,445 words) - 05:37, 12 July 2024
  • Thumbnail for Archimedes
    Archimedes paradox Archimedean solid Archimedes' twin circles Methods of computing square roots Salinon Steam cannon Diocles Pseudo-Archimedes Zhang Heng...
    88 KB (9,825 words) - 18:56, 1 January 2025
  • Thumbnail for CORDIC
    the advantage that it does not need a scaling factor (K). Methods of computing square roots IEEE 754 Floating-point units Digital Circuits/CORDIC in Wikibooks...
    71 KB (7,227 words) - 05:13, 19 August 2024
  • 9¤ and receives 3¤ in change. Signed-digit representation Methods of computing square roots Numeral system Qutrit Salamis Tablet Ternary computer Setun...
    36 KB (4,106 words) - 06:12, 28 December 2024
  • Thumbnail for Midpoint circle algorithm
    coordinates of these end points, where it is necessary to resort to trigonometric or square root computations (see Methods of computing square roots). Then...
    14 KB (2,644 words) - 21:58, 8 August 2024
  • Thumbnail for Square root
    Newton's method (frequently with an initial guess of 1), to compute the square root of a positive real number. When computing square roots with logarithm...
    48 KB (6,182 words) - 19:19, 11 November 2024
  • roots. The oldest method for computing the number of real roots, and the number of roots in an interval results from Sturm's theorem, but the methods...
    19 KB (2,668 words) - 15:41, 27 December 2024
  • further analysis of the convergence problem for continued fractions with complex elements. Lucas sequence Methods of computing square roots Pell's equation...
    10 KB (1,766 words) - 15:44, 11 November 2024
  • closer rational upper bound; details at Methods of computing square roots § Heron's method.) The ordered set of non-negative integers with its usual order...
    9 KB (1,370 words) - 15:07, 6 April 2023
  • understanding of the role of zero, rules for manipulating both negative and positive numbers, a method for computing square roots, methods of solving linear...
    4 KB (407 words) - 01:25, 9 December 2024
  • beta min algorithm: an approximation of the square-root of the sum of two squares Methods of computing square roots nth root algorithm Summation: Binary...
    71 KB (7,828 words) - 06:45, 31 December 2024
  • for manipulating both negative and positive numbers, methods for computing square roots, methods of solving linear and quadratic equations, and rules for...
    10 KB (1,283 words) - 02:05, 25 December 2024
  • fixed point (see Methods of computing square roots); it is this fixed point whose value will be approximated. This pseudo code also computes the Aitken approximation...
    12 KB (1,967 words) - 15:01, 24 September 2024
  • algorithm De Casteljau's algorithm Square roots and other roots: Integer square root Methods of computing square roots nth root algorithm hypot — the function...
    70 KB (8,336 words) - 05:14, 24 June 2024
  • Yet another iterative method is obtained by taking the well-known formula of the Babylonian method for computing the square root of a real number, and applying...
    29 KB (4,651 words) - 04:08, 1 January 2025
  • Thumbnail for Square root of 2
    calculators, is the Babylonian method for computing square roots, an example of Newton's method for computing roots of arbitrary functions. It goes as follows:...
    41 KB (5,833 words) - 17:14, 1 January 2025
  • praiseworthy step of generalizing the method to cover all third-degree equations (having positive roots)." Arabic mathematics, MacTutor History of Mathematics...
    27 KB (1,301 words) - 18:52, 22 September 2024
  • find all roots (see Root-finding algorithm § Roots of polynomials) or all real roots (see Real-root isolation). This method is named in honour of the French...
    11 KB (1,783 words) - 06:21, 19 October 2024
  • Thumbnail for Numerical analysis
    many of which are infeasible to solve symbolically: Advanced numerical methods are essential in making numerical weather prediction feasible. Computing the...
    39 KB (3,905 words) - 04:50, 20 November 2024
  • Thumbnail for Cubic equation
    coefficients, the four basic arithmetic operations, square roots, and cube roots. (This is also true of quadratic (second-degree) and quartic (fourth-degree)...
    68 KB (10,302 words) - 08:30, 29 December 2024
  • Thumbnail for Quadratic formula
    Mastronardi, Nicola; Van Dooren, Paul (2015), "Revisiting the stability of computing the roots of a quadratic polynomial", Electronic Transactions on Numerical...
    35 KB (5,797 words) - 10:44, 23 December 2024
  • Nth root (redirect from Nth roots)
    number x of which the root is taken is the radicand. A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree...
    32 KB (4,767 words) - 07:42, 28 December 2024