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Kronecker delta

In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually non-negative integers. The function is 1 if the variables are equal, and 0 otherwise: δ i j = { 0 if i ≠ j , 1 if i = j . {\displaystyle \delta _{ij}={\begin{cases}0&{\text{if }}i\neq j,\\1&{\text{if }}i=j.\end{cases}}} or with use of Iverson…

Measurement, Generalizations & Digital signal processing

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Overview

Properties

Alternative notation

Digital signal processing

Notable properties

Relationship to the Dirac delta function

Generalizations

Integral representations

Kronecker comb

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Kronecker delta

Nodes66
Edges65
Triples33
Avg. degree1.97
Density0.030303
Components1

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Kronecker delta

Top relations

related to Notable properties · 7
Kronecker delta → And, Another, Dirac, Dirac's, In, Kronecker, The Kronecker
related to Properties of the generalized Kronecker delta · 6
Kronecker delta → Binet, Cauchy, From, Kronecker, Properties, The
related to Relationship to the Dirac delta function · 5
Kronecker delta → Dirac, Equivalently, If, In, Kronecker
related to Digital signal processing · 4
Kronecker delta → DSP, In, Kronecker, Or
related to Integral representations · 4
Kronecker delta → An, For, Kronecker, The
related to Contractions of the generalized Kronecker delta · 3
Kronecker delta → For, From, The
related to Definitions of the generalized Kronecker delta · 3
Kronecker delta → In, Kronecker, Let
is a · 1
Kronecker delta → elementary recursive function

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Important terminology

delta displaystyle kronecker function dirac nu mu dots using begin end ij generalized sum written defined tensor integers unit cases

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Kronecker deltais aelementary recursive function0.90text
Kronecker deltarelated to Contractions of the generalized Kronecker deltaFor0.60section
Kronecker deltarelated to Contractions of the generalized Kronecker deltaFrom0.60section
Kronecker deltarelated to Contractions of the generalized Kronecker deltaThe0.60section
Kronecker deltarelated to Definitions of the generalized Kronecker deltaIn0.60section
Kronecker deltarelated to Definitions of the generalized Kronecker deltaKronecker0.60section
Kronecker deltarelated to Definitions of the generalized Kronecker deltaLet0.60section
Kronecker deltarelated to Digital signal processingIn0.60section
Kronecker deltarelated to Digital signal processingDSP0.60section
Kronecker deltarelated to Digital signal processingKronecker0.60section
Kronecker deltarelated to Digital signal processingOr0.60section
Kronecker deltarelated to Integral representationsFor0.60section

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