Arbitrary-precision arithmetic

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Applications

Public-key cryptography Overflow Gaussian integration Mathematical constants Riemann zeta function

18 related topics

Implementation issues

Computer Variable word length IBM 1620 IBM 1401 Honeywell 200

25 related topics

History

IBM 702 Vacuum-tube Maclisp Operating systems VAX/VMS

11 related topics

Overview

Computer science Calculations Digits Precision Memory

18 related topics

Topics to explore

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Overview

Computer science
Calculations Calculation
Digits Numerical digit
Precision Precision (arithmetic)
Memory Memory (computers)
Fixed-precision arithmetic
Arithmetic logic unit
Bits Bit
Programming languages Programming language
Integer Integer (computer science)
Floating-point
Processor register
Arrays Array data structure
Arithmetic
Precise results Floating point error mitigation
Symbolic computation
Computer algebra systems Computer algebra system
Computable number

Applications

Public-key cryptography
Overflow Arithmetic overflow
Gaussian integration
Mathematical constants Mathematical constant
Riemann zeta function
Fractal
Mandelbrot set
Odometer
Wraparound Integer overflow
Saturation Saturation arithmetic
Exception Exception handling
Lisp Lisp (programming language)
Python Python (programming language)
Perl
Haskell Haskell (programming language)
Ruby Ruby (programming language)
Raku Raku (programming language)
Word size Word (data type)

Implementation issues

Computer
Variable word length Variable word length machine
IBM 1620
IBM 1401
Honeywell 200
Fixed-point Fixed-point arithmetic
Significand
Numerator
Denominator
Greatest common divisor
Algorithms
Complexity Computational complexity theory
Addition
Subtraction
Big O notation
Comparison Comparison (computer programming)
Multiplication
Multiplication algorithms Multiplication algorithm
Schönhage–Strassen algorithm
Fast Fourier transforms Fast Fourier transform
Karatsuba Karatsuba algorithm
Division Division (mathematics)
Division algorithm
Computational complexity of mathematical operations
X86

Pre-set precision

REXX
OoRexx Object REXX

Example

History

IBM 702
Vacuum-tube
Maclisp
Operating systems Operating system
VAX/VMS
VM/CMS
String Literal string
Functions Subprogram
EXEC 2
Lookup tables Lookup table
Fortran

Software libraries

Library Library (computer science)
Data types Data type
Subroutines Subroutine
Rationals Rational number
Turing machines Turing machine
Real numbers Real number
Cardinality

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Map overview Semantic statistics

Nodes95

Edges94

Triples36

Avg. degree1.98

Density0.021053

Components1

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Arbitrary-precision arithmetic

Top relations

related to history · 12

Arbitrary-precision arithmetic → An, EXEC, For, Fortran, IBM, IBM's, Later, Maclisp, REXX, The, VAX/VMS, VM/CMS

related to Implementation issues · 5

Arbitrary-precision arithmetic → Arbitrary-precision, Even, Honeywell, IBM, There

related to Software libraries · 5

Arbitrary-precision arithmetic → Arbitrary-precision, Different, Fundamentally, Rather, Turing

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Important terminology

arithmetic numbers precision digits integer arbitrary-precision also computer algorithms digit available number base would could values use large floating-point may

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
the Riemann zeta function where certain questions are difficult to explore via analytical methods	instance of	that appears in Gaussian integration.Arbitrary precision arithmetic is also used to compute fundamental mathematical constants such as π to millions or more digits and to analyz…	0.80	text
Lisp	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
Python	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
Perl	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
Haskell	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
Ruby	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
Raku use	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
or have an option to use	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
arbitrary-precision numbers for all integer arithmetic	instance of	A programmer may design the computation so that intermediate results stay within specified precision boundaries.Some programming languages	0.80	text
REXX	instance of	Pre-set precisionIn some languages	0.80	text
ooRexx	instance of	Pre-set precisionIn some languages	0.80	text
the precision of all calculations must be set before doing a calculation	instance of	Pre-set precisionIn some languages	0.80	text

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Overview

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Overview

Applications

Implementation issues

Pre-set precision

Example

History

Software libraries

Advanced semantic analysis

Map overview Semantic statistics

Arbitrary-precision arithmetic

How this topic connects Entity context

Arbitrary-precision arithmetic

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges