#injective $INJ Injective” usually refers to a property of a function in mathematics.

Injective Function (One-to-One)

A function f: A \to B is injective if different inputs always produce different outputs.

Formally:

f(x_1) = f(x_2) \Rightarrow x_1 = x_2

Intuition

• No two distinct elements of the domain map to the same element in the codomain.

• Each output is “hit” at most once.

Example (Injective)

f(x) = 2x + 1

If 2x_1 + 1 = 2x_2 + 1, then x_1 = x_2.

Counterexample (Not Injective)

f(x) = x^2 over all real numbers:

f(2) = 4 and f(-2) = 4.

Different inputs, same output ⇒ not injective.

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If you meant Injective (the blockchain) instead of the math term, let me know and I can explain that too!