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About 10,000 papers for “Square root”

Square root

Nilsson, David O. · Texas ScholarWorks (Texas Digital Library) · 2008

Cited by 0Open access

Square Root

Fred Joseph Gruenberger · Mathematics Teacher Learning and Teaching PK-12 · 1951

The subject of square root cuts across the entire range of mathematics courses, from arithmetic to the calculus, and seems to cause trouble in every course.

Cited by 0

Square root+

John G. Frederiksen · The Arithmetic Teacher · 1969

Most modern mathematics textbooks favor the approximation method for computing square roots. The so-called long division method is not often mentioned. The approximation method is sound in principle, and it finds favor with many students because of the logic of its continuing process. Less capable students, however, complain that the approximation method has “too much figuring” and “too many chances for error.”

Cited by 0

Improving Goldschmidt Division, Square Root and Square Root Reciprocal

Laboratoire de l'informatique du parallélisme, Ercegovac, Milos, Imbert, Laurent et al. · LARA - Libre Acces aux Rapports scientifiques et techniques · 2006

(eng) The aim of this paper is to accelerate division, square root and square root reciprocal computations, when Goldschmidt method is used on a pipelined multiplier. This is done by replacing the last iteration by the addition of a correcting term that can be looked up during the early iterations. We describe several variants of the Goldschmidt algorithm assuming 4-cycle pipelined multiplier and discuss obtained number of cycles and error achieved. Extensions to other than 4-cycle multipliers are given.

Cited by 0

New Non-Iterative Square Root Algorithm: MXB Square Root

Suresh Babu, Balaji · Zenodo (CERN European Organization for Nuclear Research) · 2025

This paper presents a new non-iterative algorithm for computing square roots efficiently. The computation of square roots has been a fundamental mathematical operation for thousands of years, with numerous algorithms developed throughout history. From the Babylonian method to Newton-Raphson iteration and modern hardware implementations, mathematicians and computer scientists have continually sought faster and more accurate approaches. Despite this rich history, most square root algorithms share a common limitation: they require iterative processes to achieve high precision. This paper introduces a new non-iterative formula that calculates square roots with remarkable accuracy in a single computational step, offering potential advantages for applications where computational efficiency is paramount. Contact: https://www.linkedin.com/in/balaji-suresh-739a231a9/

Cited by 0Open access

Improving Goldschmidt Division, Square Root and Square Root Reciprocal

Laurent Imbert, David Matula, Jean-Michel Muller et al. · 1999

: The aim of this paper is to accelerate division, square root and square root reciprocal computations, when Goldschmidt method is used on a pipelined multiplier. This is done by replacing the last iteration by the addition of a correcting term that can be looked up during the early iterations. We describe several variants of the Goldschmidt algorithm assuming 4-cycle pipelined multiplier and discuss obtained number of cycles and error achieved. Extensions to other than 4-cycle multipliers are given. Key-words: Division, Square root, Square root reciprocal, Convergence division, Computer Arithmetic, Goldschmidt iteration. (Rsum : tsvp) This work has been partially supported by a French CNRS and Ministre des Affaires trangres grant PICS-479, Vers des arithmtiques plus souples et plus prcises. University of California at Los Angeles, Los Angeles, USA y Laboratoire d'Informatique de Marseille, Marseille, France z Southern Methodist University, Dallas, USA # CNRS, projet CNRS-E...

Cited by 0

Root Mean Square

Tianfeng Chai · Encyclopedia of earth sciences series/Encyclopedia of earth sciences · 2023

Cited by 2

Root Mean Square

National Cancer Institute · Definitions · 2020

Ope n Pe e r Re v ie w on Qe ios

Cited by 0Open access

Processo Square Root

Mazzon, Andrea · AMS Degree Thesis (University of Bologna) · 2012

Sessione I Anno Accademico 2010

Cited by 0Open access

Square-root valve

H. Houtman · Review of Scientific Instruments · 1995

A new type of valve is introduced, the square-root valve, in which the valve stem radius is machined to vary as the square root of the turn number N. The open area then varies in direct proportion to the turn number, and the measured flow rate Qs(N) was found to be adequate to allow this valve to be used in an automatic feedback control system. As the flow-rate function will generally depend on the source and load impedances, a systematic method to empirically obtain precise linear (or other) flow-rate functions is outlined.

Cited by 0