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Arithmetic derivative

In number theory, the Lagarias arithmetic derivative or number derivative is a function defined for integers, based on prime factorization, by analogy with the product rule for the derivative of a function that is used in mathematical analysis.

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Extensions beyond natural numbers

20 related topics

Early history

1 related topics

Inequalities and bounds

6 related topics

Elementary properties

3 related topics

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Overview

Early history

Definition

Extensions beyond natural numbers

Elementary properties

Related functions

Inequalities and bounds

Relevance to number theory

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Map overview Semantic statistics

Arithmetic derivative

Nodes53
Edges52
Triples19
Avg. degree1.96
Density0.037736
Components1

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Arithmetic derivative

Top relations

related to Inequalities and bounds · 6
Arithmetic derivative → Barbeau, Dahl, In, Loiko, Olsson, Omega
related to history · 4
Arithmetic derivative → Josè Mingot Shelly, Putnam Competition, Spanish, The
related to Elementary properties · 3
Arithmetic derivative → For, The, The Leibniz
related to Related functions · 3
Arithmetic derivative → Let, So, The
related to Definition · 2
Arithmetic derivative → For, Leibniz
is a · 1
Arithmetic derivative → same as the derivation over said polynomial ring

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Important terminology

derivative arithmetic displaystyle prime frac function mathbb sum integers numbers also number textstyle defined rule extended primes partial derivatives one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Arithmetic derivativeis asame as the derivation over said polynomial ring0.90text
Arithmetic derivativerelated to DefinitionFor0.60section
Arithmetic derivativerelated to DefinitionLeibniz0.60section
Arithmetic derivativerelated to Elementary propertiesThe Leibniz0.60section
Arithmetic derivativerelated to Elementary propertiesThe0.60section
Arithmetic derivativerelated to Elementary propertiesFor0.60section
Arithmetic derivativerelated to historyThe0.60section
Arithmetic derivativerelated to historySpanish0.60section
Arithmetic derivativerelated to historyJosè Mingot Shelly0.60section
Arithmetic derivativerelated to historyPutnam Competition0.60section
Arithmetic derivativerelated to Inequalities and boundsBarbeau0.60section
Arithmetic derivativerelated to Inequalities and boundsOmega0.60section

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