What does the symbol := mean in mathematics? [duplicate]

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What does the symbol := mean in mathematics? for example, C(continuum) := |R|

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1 Answer

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It means it is a definition in most contexts.

$f(x):=x^2-\sin 2x + \pi$ means I define $f(x)$ by the expression on the other side.

However, in most contexts, it is a superfluous notation as you argue around it.

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