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Iverson bracket

In mathematics, the Iverson bracket, named after Kenneth E. Iverson, is a notation that generalises the Kronecker delta, which is the Iverson bracket of the statement x = y. It maps any statement to a function of the free variables in that statement. This function is defined to take the value 1 for the values of the variables for which the statement is…

Examples, Formulation in terms of usual functions & Notational variations

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Examples

Euler's totient functionCoprimePiecewiseHeaviside step functionSign function
10 related topics

Formulation in terms of usual functions

Guglielmo dalla SommajaCommon convention
2 related topics

Notational variations

Blackboard bold
1 related topics

Overview

MathematicsKenneth E. IversonKronecker deltaStatementFunction
10 related topics

Topics to explore

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Overview

Examples

Formulation in terms of usual functions

Notational variations

Advanced semantic analysis

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Map overview Semantic statistics

Iverson bracket

Nodes28
Edges27
Triples19
Avg. degree1.93
Density0.071429
Components1

How this topic connects Entity context

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Iverson bracket

Top relations

related to Properties · 7
Iverson bracket → Big, Bigl, Bigr, For, Iverson, There, XOR
related to Common functions · 5
Iverson bracket → Iverson, Many, That, The, The Kronecker
related to Simplification of special cases · 5
Iverson bracket → Another, Big, For, Iverson, To
related to Double-counting rule · 2
Iverson bracket → Iverson, We

Important terminology Word statistics

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Important terminology

displaystyle iverson bracket function statement sum notation summation begin end defined brackets values otherwise leq true integers aligned expressed cdot

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Iverson bracketrelated to Common functionsMany0.60section
Iverson bracketrelated to Common functionsIverson0.60section
Iverson bracketrelated to Common functionsThe Kronecker0.60section
Iverson bracketrelated to Common functionsThat0.60section
Iverson bracketrelated to Common functionsThe0.60section
Iverson bracketrelated to Double-counting ruleWe0.60section
Iverson bracketrelated to Double-counting ruleIverson0.60section
Iverson bracketrelated to PropertiesThere0.60section
Iverson bracketrelated to PropertiesIverson0.60section
Iverson bracketrelated to PropertiesFor0.60section
Iverson bracketrelated to PropertiesXOR0.60section
Iverson bracketrelated to PropertiesBigl0.60section

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    Connections between topic areas Semantic bridges

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    Min side: 3
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