Methods of computing square roots are algorithms for approximating the non-negative square root S {\displaystyle {\sqrt {S}}} of a positive real number...
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such as CORDIC. Methods of computing square roots § Approximations that depend on the floating point representation Magic number Use of the type long reduces...
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Hessian matrix). Newton's method is one of many known methods of computing square roots. Given a positive number a, the problem of finding a number x such...
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Cube root (redirect from Numerical methods for calculating cube roots)
(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"...
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function nth root (radical) Surd Square root Methods of computing square roots Cube root Root of unity Constructible number Complex conjugate root theorem...
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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...
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involving several squares Integer square root – Greatest integer less than or equal to square root Methods of computing square roots – Algorithms for calculating...
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Nested intervals (redirect from Nested sequence of closed intervals)
Babylonians discovered a method for computing square roots of numbers. In contrast, the famed Archimedes constructed sequences of polygons, that inscribed...
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further analysis of the convergence problem for continued fractions with complex elements. Lucas sequence Methods of computing square roots Pell's equation...
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of an infinity. No flag is raised in certain cases of underflow. See Fast inverse square root and Methods of computing square roots#Iterative methods...
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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:...
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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...
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CORDIC (redirect from Logarithmic Computing Instrument)
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...
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Archimedes (redirect from Archimedes of Syracuse)
Archimedes paradox Archimedean solid Archimedes' twin circles Methods of computing square roots Salinon Steam cannon Zhang Heng Doric Greek: Ἀρχιμήδης, pronounced...
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Quadratic formula (redirect from Derivation of quadratic formula)
Mastronardi, Nicola; Van Dooren, Paul (2015), "Revisiting the stability of computing the roots of a quadratic polynomial", Electronic Transactions on Numerical...
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complex-valued roots which may or may not be distinct. The solutions of a quadratic equation can be found by several alternative methods. It may be possible...
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implementation of division (see division algorithm) and square root (see methods of computing square roots) operations, thus eliminating the need for dedicated...
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Brāhmasphuṭasiddhānta (redirect from Correctly Established Doctrine of Brahma)
understanding of the role of zero, rules for manipulating both negative and positive numbers, a method for computing square roots, methods of solving linear...
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algorithm De Casteljau's algorithm Square roots and other roots: Integer square root Methods of computing square roots nth root algorithm hypot — the function...
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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...
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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...
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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...
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Balanced ternary (section Square roots and cube roots)
9¤ and receives 3¤ in change. Signed-digit representation Methods of computing square roots Numeral system Qutrit Salamis Tablet Ternary computer Setun...
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Linear continuum (section Applications of the theorem)
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...
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Midpoint circle algorithm (section Jesko's Method)
coordinates of these end points, where it is necessary to resort to trigonometric or square root computations (see Methods of computing square roots). Then...
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for manipulating both negative and positive numbers, methods for computing square roots, methods of solving linear and quadratic equations, and rules for...
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for manipulating both negative and positive numbers, methods for computing square roots, methods of solving linear and quadratic equations, and rules for...
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machine model is open, as of 1997. The main difficulty is that, in order to solve the problem, the square-roots should be computed to a high accuracy, which...
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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...
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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...
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