Kronecker Delta

Implement the Kronecker delta function, a fundamental concept in linear algebra and computer vision. This function is crucial for representing identity matrices and simplifying complex mathematical expressions.

The Kronecker delta $\delta_{ij}$ is a notation used to describe the relationship between two indices $i$ and $j$ , where $\delta_{ij}$ equals $1$ if $i = j$ and $0$ otherwise. This concept is essential in computer vision for tasks such as image processing and feature extraction.

To compute the Kronecker delta, follow these steps:

Compare the two input indices $i$ and $j$ .
If $i = j$ , the result is $1$ ; otherwise, it is $0$ .

\delta_{ij} = \begin{cases} 1 & \text{if } i = j \\ 0 & \text{if } i \neq j \end{cases}

This technique is widely used in image processing algorithms.

Example:

Input:

kronecker(2, 2)

Output:

Reasoning:

When i equals j, delta = 1

Constraints:

i and j are integers

Example:

Constraints:

Test Results