The Greek lowercase epsilon ε, the lunate epsilon symbol ϵ, or the Latin lowercase epsilon ɛ (see above) is used as the symbol for:
The value of epsilon can vary depending on the context. In mathematics, epsilon is often used as a small positive quantity representing an arbitrarily small number. In science and engineering, epsilon can represent error tolerance or machine precision. It's important to specify the context in order to determine the specific value of epsilon.
any number at all
By itself, nothing: it all depends on the context. epsilon is a letter of the Greek alphabet which is used in calculus to represent a very small number.
The greek letter closest to representing the latin letter e is epsilon (ɛ). In math's, epsilon is mainly used to represent very small positive numbers (e.g. when working with proofs), and used as the Levi-Civita symbol (a.k.a. the permutation symbol, used in tensor calculus, sometimes uses upper epsilon E, instead of lower epsilon ɛ). It is also often used in statistics and numerical analysis to represent errors.
It represents a number.
In mathematics (in particular calculus), an arbitrarily small positive quantity is commonly denoted ε; see (ε, δ)-definition of limitIn mathematics, Hilbert introduced epsilon terms as an extension to first order logic; see epsilon calculus.In mathematics, the Levi-Civita symbol.In mathematics, to represent the dual numbers: a + bε, with ε2 = 0 and ε ≠ 0.In mathematics, sometimes used to denote the Heaviside step function.
In math, a value that represents a constant relationship is given a Greek letter to represent it. Examples are epsilon and sigma functions.The ratio of the circumference to the diameter of a circle is about 3.14159 but can be calculated to an infinite number of places. This was assigned the Greek letter pi (π).
It can represent multiplication or a number that is the one which we are looking for.
2
The aftermath
ask your math teacher
'i' is often used to represent the imaginary part of a complex number, and is equal to the square root of -1.