If \(n\) is an even integer, then \(n^2\) is divisible by \(4\text{.}\)
Section 1 The Mathematical Handoff
Consider the function \(f(x) = x^2\text{,}\) which opens upward. A generic screen-narrator would skip that expression or read glyph soup; here it is spoken inline. Adjacent expressions like \(a\) and \(b\) should be separated cleanly, and an equation at the end of a sentence should keep its punctuation close, as with \(e^{i\pi} + 1 = 0\text{.}\)
Display mathematics becomes its own utterance, with a natural breath before and after:
\begin{equation*}
\int_0^1 x^2 \, dx = \frac{1}{3}.
\end{equation*}
The decimal in \(x \approx 3.2\) must not split the sentence, and neither should the abbreviations in this one: see Dr. Smith, or e.g. Theorem 3.2, or cf. Fig. 4 for details.
Theorem 1.1. A Spoken Theorem.
Proof.
Write \(n = 2k\) for some integer \(k\text{.}\) Then \(n^2 = 4k^2\text{,}\) which is visibly a multiple of four.
