Symbols:Greek/Epsilon/Arbitrarily Small Positive Quantity
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Arbitrarily Small Strictly Positive Real Number
Many a proof in analysis will famously start:
- "Let $\epsilon > 0$ ..."
where it is frequently left unstated that $\epsilon$ is a real number, arbitrarily small.
The $\LaTeX$ code for \(\epsilon > 0\) is \epsilon > 0
.
Also denoted as
While $\epsilon$ is common, so is $\varepsilon$.
The symbols are, in general, interchangeable.
Some writers prefer $\epsilon$ and some prefer $\varepsilon$.
The $\LaTeX$ code for \(\varepsilon\) is \varepsilon
.
On $\mathsf{Pr} \infty \mathsf{fWiki}$ the preferred symbol is $\epsilon$.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): epsilon