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Integer square root

In number theory, the integer square root (isqrt) of a non-negative integer n is the non-negative integer m which is the greatest integer less than or equal to the square root of n, isqrt ⁡ ( n ) = ⌊ n ⌋ . {\displaystyle \operatorname {isqrt} (n)=\lfloor {\sqrt {n}}\rfloor .}

Algorithm using Newton's method, Karatsuba square root algorithm & Introductory remark

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Overview

Introductory remark

Basic algorithms

Algorithm using Newton's method

Digit-by-digit algorithm

Karatsuba square root algorithm

Implementation in Python

In programming languages

Continued fraction of √c based on isqrt

Advanced semantic analysis

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Integer square root

Nodes43
Edges42
Triples30
Avg. degree1.95
Density0.046512
Components1

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Integer square root

Top relations

related to Implementation in Python · 8
Integer square root → Example, Given, On, Only, SqrtRemcomputes, The, The Python, Zimmermann’s
related to Numerical examples · 7
Integer square root → Although Heron's, In, One, Python, The, This, When
related to Karatsuba square root algorithm · 5
Integer square root → It, Karatsuba, Paul Zimmermann, The, The Karatsuba
related to Using bitwise operations · 3
Integer square root → Equivalent, If, With
related to Basic algorithms · 2
Integer square root → For, The
related to Continued fraction of √c based on isqrt · 2
Integer square root → Let, The
related to Digit-by-digit algorithm · 2
Integer square root → If, The
related to In programming languages · 1
Integer square root → Some

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Important terminology

displaystyle sqrt integer square lfloor rfloor root isqrt operatorname sequence example one algorithm continued fraction using binary multiplication integers program

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Integer square rootrelated to Basic algorithmsThe0.60section
Integer square rootrelated to Basic algorithmsFor0.60section
Integer square rootrelated to Continued fraction of √c based on isqrtThe0.60section
Integer square rootrelated to Continued fraction of √c based on isqrtLet0.60section
Integer square rootrelated to Digit-by-digit algorithmThe0.60section
Integer square rootrelated to Digit-by-digit algorithmIf0.60section
Integer square rootrelated to Implementation in PythonThe Python0.60section
Integer square rootrelated to Implementation in PythonZimmermann’s0.60section
Integer square rootrelated to Implementation in PythonGiven0.60section
Integer square rootrelated to Implementation in PythonSqrtRemcomputes0.60section
Integer square rootrelated to Implementation in PythonThe0.60section
Integer square rootrelated to Implementation in PythonExample0.60section

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