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A deterministic function is a mathematical or computational function that, given the same input, will always produce the same output, without any randomness or variability. In other words, for a given set of input values, a deterministic function will consistently yield a specific and predictable result.

Deterministic functions are often used in various fields, including mathematics, computer science, and engineering, because they provide reliability and repeatability. They are in contrast to non-deterministic functions or processes, which may produce different results for the same input due to randomness or external factors.

For example, addition and multiplication are examples of deterministic functions in mathematics. If you add 2 and 3, you will always get 5 as the result, and this outcome will not change with repeated calculations. Similarly, a simple software function that calculates the square of a number is deterministic because it will always produce the same result for the same input.

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