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Each residue class is an arithmetic progression, and thus clopen. Consider the multiples of each prime. These multiples are a residue class (so closed), and the union of these sets is all (Golomb: positive) integers except the units ±1. If there are finitely many primes, that union is a closed set, and so its complement ({±1}) is open.
In number theory, primes in arithmetic progression are any sequence of at least three prime numbers that are consecutive terms in an arithmetic progression. An example is the sequence of primes (3, 7, 11), which is given by a n = 3 + 4 n {\displaystyle a_{n}=3+4n} for 0 ≤ n ≤ 2 {\displaystyle 0\leq n\leq 2} .
Event-driven programming is the dominant paradigm used in graphical user interfaces applications and network servers. In an event-driven application, there is generally an event loop that listens for events and then triggers a callback function when one of those events is detected.
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The term closure is often used as a synonym for anonymous function, though strictly, an anonymous function is a function literal without a name, while a closure is an instance of a function, a value, whose non-local variables have been bound either to values or to storage locations (depending on the language; see the lexical environment section below).
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wait - when executed, causes the suspension of the executing process until the state of the event is set to true. If the state is already set to true before wait was called, wait has no effect. [clarification needed] set - sets the event's state to true, release all waiting processes. clear - sets the event's state to false.