Articles of pronunciation

How does one read aloud Vinogradov's notation $\ll$ and $\ll_{\epsilon }$?

How does one read aloud the Vinogradov’s notation $\ll$ and $\ll_{\epsilon }$ as in $$f(x)\ll g(x)$$ and $$c\ll_{\epsilon }\left( \prod\limits_{p\mid abc}p\right) ^{1+\epsilon}.$$ Is the first one “is very much less than”? (This is a direct translation from Portuguese as was used informally in engineering formulae). Added: I am not asking the meaning of this notation, […]

How do you pronounce (partial) derivatives?

I am not an English speaker that is why I asked this question. In addition, I think english.stackexchange.com is not the proper place to ask this because (I am so sorry) I don’t think most of them know mathematics deeply. How do you pronounce the following derivatives in English? $\frac{\textrm{d}y}{\textrm{d}x}$ $\frac{\textrm{d}^2y}{\textrm{d}x^2}$ $\frac{\partial y}{\partial x}$ $\frac{\partial^2 […]

How do you pronounce the inverse of the $\in$ relation? How do you say $G\ni x$?

If I am talking about sets $G$ and $H$ and I want to say in words that $G\subset H$, I, like everyone else, will say that $G$ is contained in $H$, or that $H$ contains $G$. But if I am talking about a set $G$ and a single point $x$, I get vaguely uneasy if […]

Is there a definitive guide to speaking mathematics?

Is there a definitive guide to speaking mathematics to avoid ambiguity? I’m writing a program to generate text for a variety of mathematical expressions and would like to code it so that it adheres to some standard. I’ve found Handbook for Spoken Mathematics, but nothing better. Before settling on this one source, I thought I’d […]

How to read letters such as $\mathbb A$, $\mathbb B$, etc., or $\mathfrak A$, $\mathfrak B$, etc.?

This is a soft question. We can read the letters $\bf A$, $\bf B$, etc. as bold A, bold B, etc. We can read the letters $\textit{A}$, $\textit{B}$, etc. as italic A, italic B, etc. We can read the letters $\mathcal A$, $\mathcal B$, etc. as calligraphic A, calligraphic B, etc. But how do we […]

How do you pronounce the symbol $'$ in $f'$?

I’m not a native English speaker. A quick Google search revealed the symbol’s name is apostrophe, just like in French. When used in a mathematical setting, I usually call it prime, so for instance $f'$ I’ll read $f$ prime. That’s the way you call it in French, but I just realized I didn’t actually know […]