How to pronounce $\circledcirc$ (an infinitesimal)?

Question

I'm reading a paper in which $\circledcirc$ is used to mean an infinitesimal (from nonstandard analysis). So, for example, you would have $0<\circledcirc^2<\circledcirc$.

I'm wondering how to pronounce this symbol, and thus expressions containing it. (Zero is less than bullseye squared is less than bullseye? What's that symbol called?)

Note that I understand the name of the symbol in $\LaTeX$ (\circledcirc), but that's not what I'm asking. What does the non-standard analysis community call it when reading in their heads, or talking to students from the blackboard?

Answer 1

This symbol appears in Henle and Kleinberg's Infinitesimal Calculus, and in page 5 where it's introduced, they suggest pronouncing $\circledcirc$ as "hype." Although this could just be a nonstandard pronunciation of $\circledcirc$ in their specific circle of mathematicians. (Puns intended)

Answer 2

As discussed in the comments, this is an unusual symbol. It looks kinda like a donut, and you're welcome to call it that if you like. Ultimately, notation exists to facilitate communication. If everyone knows what you're talking about then something is a good name for the symbol.

Answer 3

To answer your question: this is a non-standard symbol (perhaps appropriately in non-standard analysis); I for one have never seen it before. So it has no commonly agreed pronunciation. If the paper is well-written, it should tell you how to pronounce it; if not, you are on your own I'm afraid.