1. <mathematics> The size of something infinite.
Using the word in the context of sets is sloppy, since different infinite sets aren't necessarily the same size cardinality as each other.
See also aleph 0
2. <programming> The largest value that can be represented in a particular type of variable (register, memory location, data type, whatever).
See also minus infinity.
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Infinite Impulse Response
Infinite Monkey Theorem
IEEE Floating Point Standard