What is the meaning of “=::” in mathematics?

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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:

(1) YouTube - Arithmetic Sums

(2) Wikipedia - List of mathematical symbols

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1 Answer

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Some prefer A::= over A:=, and some use it on the right, =:A or =::A.

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