Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
epsilon
In a linguistic context, this term refers specifically to the fifth letter of the Greek alphabet. It is typically treated as a proper noun when referring to the character itself, though it is often written in lowercase in general text.
In mathematical analysis and calculus, the term carries a specialized pragmatic meaning. It does not represent a specific constant value but rather an arbitrarily small positive number. This usage is almost always paired with the letter delta in the famous epsilon-delta definition of a limit, where it symbolizes a threshold of error or a distance that can be made as small as desired.
Meanings
Examples
The Greek alphabet begins with alpha and continues through epsilon.
I need to memorize the order of the letters including epsilon.
We use epsilon to represent an arbitrarily small positive number.
The proof requires us to choose a specific value for epsilon.
The difference between the two values is less than epsilon.
I wonder if I can simplify this limit using an epsilon delta proof.