Kroenecker Delta Function
# Definition
The Kroenecker Delta Function, $\delta: \mathbb{N} \times \mathbb{N} \to {0, 1}$ is defined as $$\delta_{ij} := \delta(i, j) := \begin{cases} 1 & \text{if } i = j \\ 0 & \text{otherwise} \end{cases}$$
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The Kroenecker Delta Function, $\delta: \mathbb{N} \times \mathbb{N} \to {0, 1}$ is defined as $$\delta_{ij} := \delta(i, j) := \begin{cases} 1 & \text{if } i = j \\ 0 & \text{otherwise} \end{cases}$$