I've seen =:: symbol in arithmetic series in a math YouTube video(1). I tried to google this symbol, But it is hard to find without knowing the name of this symbol.
After all I got the meaning of =: symbol from Wikipedia(2). =: is defined as; is equal by definition to.
Arithmetic series where =:: is used-
lets take a series;
1+ 2+ 3 + ..... +100
Taking first term as F, last term as L and difference between each term is d. We can write;
F + (F+d) + ........ + (l-d) + l =:: A
What does =:: do? Is there any difference between =:: and =:?
Resources:
Some prefer
A::=overA:=, and some use it on the right,=:Aor=::A.