Ivan Shishkin, Birch Grove

Symbole de Kronecker

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Définition

Soit II un ensemble. Le symbole de Kronecker est défini, pour i,j∈Ii,j\in I, par :
δi,j={1,si i=j,0,si i≠j.\delta_{i,j}= \begin{cases} 1, & \text{si } i=j,\\ 0, & \text{si } i\neq j. \end{cases}

Exemples
  • On a par exemple
    δ1,3=0,δ7,7=1.\delta_{1,3}=0,\quad \delta_{7,7}=1.

Practice this concept with exercises

1 / 2

  • Calculer les symboles de Kronecker suivants :
    δ1,1,δ2,3,δ97,97.\delta_{1,1},\quad \delta_{2,3},\quad \delta_{97,97}.

    Open exercise
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