A hash function usually means a function that compresses, meaning the output is shorter than the 2025

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A hash function usually means a function that compresses, meaning the output is shorter than the input. Often, such a function takes an input of arbitrary or almost arbitrary length to one whose length is a fixed number, like 160 bits.
A hash function is a mathematical function that converts any digital data into an output string with a fixed number of characters. Hashing is the one-way act of converting the data (called a message) into the output (called the hash).
SHA-256 is an iterated hash function producing a 256-bit output. The SHA-256 compression function takes a 512-bit message block and a 256-bit intermediate hash value as an input and produces a 256-bit new intermediate hash value as an output.
On the graph of a function, the F(x), or output values of the function, are plotted on the y-axis. A function that is vertically stretched has bigger y-values for any given value of x, and a function that is vertically compressed has smaller y-values for any given value of x.
This process generates an output, called a hash value, of a fixed length. A hash function is deterministic, meaning that, regardless of the size of the input, the output will always be the same size. Its also collision and preimage resistant.
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A compression function is a mathematical function used in computer science to reduce the size of data while maintaining a balance between data capacity and distortion.

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