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Question Number 211791 by mathkun last updated on 20/Sep/24

can someone please tell me the difference b / w (=) and (::=)

I searched up and showed it was related to assertion, definition, propert def \dots . i {don}^{'} t know . please help

Answered by Frix last updated on 20/Sep/24

a = b a is equal to b

a := b a is defined as b

Example :

x \in C : sign (x) = \frac{x}{∣ x ∣}

\Rightarrow sign (0) is not naturally defined

Sometimes we might need sign (0) = 0 and

in this case we define sign (0) = 0 which is

written as sign (0) := 0

Sometimes sign (0) := 1 might work better .

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