Indicator function
In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero. That is, if A is a subset of some set X, one has if and otherwise, where is a common notation for the indicator function. Other common notations are and The indicator function of A is the Iverson bracket of the property of belonging to A; that is, For example, the Dirichlet function is the indicator function of the rational numbers as a subset of the real numbers.
- Abstraction100002137
- Cognition100023271
- Concept105835747
- Content105809192
- disease
- Function113783816
- Idea105833840
- MathematicalRelation113783581
- PsychologicalFeature100023100
- Relation100031921
- WikicatBasicConceptsInSetTheory
- WikicatElementarySpecialFunctions
- WikicatFunctionsAndMappings
- WikicatSpecialFunctions
- Comment
- enIn mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero. That is, if A is a subset of some set X, one has if and otherwise, where is a common notation for the indicator function. Other common notations are and The indicator function of A is the Iverson bracket of the property of belonging to A; that is, For example, the Dirichlet function is the indicator function of the rational numbers as a subset of the real numbers.
- Depiction
- Has abstract
- enIn mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero. That is, if A is a subset of some set X, one has if and otherwise, where is a common notation for the indicator function. Other common notations are and The indicator function of A is the Iverson bracket of the property of belonging to A; that is, For example, the Dirichlet function is the indicator function of the rational numbers as a subset of the real numbers.
- Hypernym
- Function
- Is primary topic of
- Indicator function
- Label
- enIndicator function
- Link from a Wikipage to an external page
- archive.org/details/introductiontoal00corm_691/page/n116
- Link from a Wikipage to another Wikipage
- Cardinality
- Category:Basic concepts in set theory
- Category:Integral calculus
- Category:Mathematical logic
- Category:Measure theory
- Category:Probability theory
- Category:Real analysis
- Category:Types of functions
- Characteristic function (convex analysis)
- Characteristic function (probability theory)
- Combinatorics
- Complement (set theory)
- Convex analysis
- Covariance
- Degree of truth
- Dirac delta
- Dirac delta function
- Dirac measure
- Dirichlet function
- Distributional derivative
- Dummy variable (statistics)
- Equality (mathematics)
- Expected value
- Extension (predicate logic)
- File:Indicator function illustration.png
- Free variables and bound variables
- Function (mathematics)
- Fuzzy logic
- Fuzzy set theory
- Generalized Möbius function
- Greek alphabet
- Heaviside step function
- Inclusion-exclusion
- Information and Computation
- Iverson bracket
- Kronecker delta
- Kurt Gödel
- Laplacian of the indicator
- Lattice (order)
- List of probabilists
- Macaulay brackets
- Many-valued logic
- Map (mathematics)
- Markov's inequality
- Mathematics
- Mean
- Measure (mathematics)
- Membership function (mathematics)
- Möbius function
- Multiplicative inverse
- Multiset
- Mu operator
- Normal (geometry)
- Number theory
- Order theory
- Partially ordered set
- Power set
- Predicate (mathematics)
- Primitive recursive function
- Probability distribution
- Probability space
- Probability theory
- Proper subset
- Random variable
- Range of a function
- Rational number
- Real number
- Set (mathematics)
- Simple function
- Statistical classification
- Statistics
- Stephen Kleene
- Structure (mathematical logic)
- Subset
- Surface area
- Surjective
- Universal algebra
- Variance
- Zero-one loss function
- SameAs
- 3SFCm
- Charakteristická funkce
- Fonction caractéristique (théorie des ensembles)
- Fonzion carateristega
- Função indicadora
- Funció característica (matemàtiques)
- Función indicatriz
- Fungsi indikator
- Fungsi penunjuk
- Funkcja charakterystyczna zbioru
- Funtzio adierazle
- Funzione indicatrice
- Hàm chỉ thị
- Indicatorfunctie
- Indicator function
- Indikaattorifunktio
- Indikatorfunktion
- Indikatorfunktion
- Karakterisztikus függvény
- Kennifall (mengjafræði)
- m.01jyfs
- Q371983
- Индикатор (математика)
- Индикаторна функция
- Сипаттауыш функция
- Функција индикатор
- Характеристична функція
- Վեկտորի ինդիկատոր
- פונקציה מציינת
- تابع مشخصه
- सूचक फलन
- சுட்டுச் சார்பு
- ฟังก์ชันบ่งชี้
- 指示函数
- 指示関数
- 지시 함수
- Subject
- Category:Basic concepts in set theory
- Category:Integral calculus
- Category:Mathematical logic
- Category:Measure theory
- Category:Probability theory
- Category:Real analysis
- Category:Types of functions
- Thumbnail
- WasDerivedFrom
- Indicator function?oldid=1111285341&ns=0
- WikiPageLength
- 16253
- Wikipage page ID
- 240790
- Wikipage revision ID
- 1111285341
- WikiPageUsesTemplate
- Template:About
- Template:Blockquote
- Template:Cite book
- Template:Cite journal
- Template:Cite q
- Template:Closed-closed
- Template:Div col
- Template:Div col end
- Template:Efn
- Template:Main
- Template:Math
- Template:More footnotes
- Template:Mvar
- Template:Notelist
- Template:Refbegin
- Template:Refend
- Template:Reflist
- Template:Rp
- Template:Short description
- Template:Use American English
