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# Why is Epsilon used?

Last updated date: 23rd May 2024
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Hint: First, we need to know about the word Epsilon and what is Epsilon, and its uses in mathematics.
Since in mathematics the Epsilon is represented with the symbol $\in$. Also, in Greek mathematics, they will represent the Epsilon as $\varepsilon$which is more similar.
But it is just not like any other mathematical representation of the variables $y,a,k$.

As the symbol, we can see that Epsilon $\varepsilon$,
We know that in the set theory we used the symbol for the contains or belongs to is $\in$ (same as Epsilon but which is called as belongs to in the set theory), which states that a subset belongs to the set.
Example take $a \in \{ 1,2\}$then it means that the variable $a$ belongs to the set of $\{ 1,2\}$
Note: We use various symbols to denote the Epsilon values too because Epsilon has no interest in the meaning of its own like other mathematical symbols like $\pi$(pi) and it has the value $3.14$.
Also, the symbol $e$ and has value $2.71828$. But Epsilon has no value.
Like as belongs to symbol, there is also the symbol called does not belongs to, which is represented as ($\notin$)$a \notin \{ 1,2\}$where it does not belong to the set $\{ 1,2\}$