
Why is Epsilon used?
Answer
432k+ views
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 . Also, in Greek mathematics, they will represent the Epsilon as which is more similar.
But it is just not like any other mathematical representation of the variables .
Complete step by step answer:
The word Epsilon is the Greek letter and it stands (which means) an arbitrary number (smallest possible numbers) and we use it in the algebraic inequality’s concepts.
We use Epsilon to denote the smallest quantity like a term which is taken as the zero in some limit.
As the symbol, we can see that Epsilon ,
Thus, Epsilon is the letter in the concept of making the predicate while dealing with the limits and which is always the smallest value.
And we should be careful that this symbol of the Epsilon should not be confused with the set symbol that we used to denote the contained subset.
We know that in the set theory we used the symbol for the contains or belongs to is (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 then it means that the variable belongs to the set of
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) and it has the value .
Also, the symbol and has value . But Epsilon has no value.
Like as belongs to symbol, there is also the symbol called does not belongs to, which is represented as ( ) where it does not belong to the set
Since in mathematics the Epsilon is represented with the symbol
But it is just not like any other mathematical representation of the variables
Complete step by step answer:
The word Epsilon is the Greek letter and it stands (which means) an arbitrary number (smallest possible numbers) and we use it in the algebraic inequality’s concepts.
We use Epsilon to denote the smallest quantity like a term which is taken as the zero in some limit.
As the symbol, we can see that Epsilon
Thus, Epsilon is the letter in the concept of making the predicate while dealing with the limits and which is always the smallest value.
And we should be careful that this symbol of the Epsilon should not be confused with the set symbol that we used to denote the contained subset.
We know that in the set theory we used the symbol for the contains or belongs to is
Example take
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
Also, the symbol
Like as belongs to symbol, there is also the symbol called does not belongs to, which is represented as (
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

The flightless birds Rhea Kiwi and Emu respectively class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE
