Identity Function
f(x) = x
The identity function is a mathematical function that returns the same value that is supplied as input to it. In other words, it is a function that maps each element of a set to itself without modifying it. The notation used to denote the identity function is f(x) = x or I(x), where x is the input value.
For example, if we apply the identity function to the number 7, the output would simply be 7. Similarly, if we apply the identity function to a vector or matrix, the output would be the original vector or matrix, unchanged.
The identity function is often used in mathematics as a tool for proving various theoretical results, since it is a simple and easy-to-understand function. It is also an important concept in computer science, where it is used as a building block for various algorithms and data structures.
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