In a comment under this answer, the author complained that he or she was unable to split a paragraph in two. I edited and found that there were already two line breaks between the two parts of the paragraph, and yet they were being rendered as one paragraph. By experimenting, I found that if I removed one of the many spaces at the ends of the formulas (right before the closing dollar sign), the paragraphs were rendered separately as intended.
(so $ |\gamma'| = 1 $). Add a space after the dollar sign or remove the space before the dollar sign, and the desired paragraph appears magically. Also, this is the only portion of the source where the removal of a space has an effect. – t.b. Jul 10 '11 at 22:58$ f $before "values very similarly" and ending with$ \int_\gamma f(z) dz $before "represents almost the very same idea" works. In the second paragraph, the one you mention works, but also the following$ f $(the last formula in that paragraph). Are you sure that last one doesn't work for you? (Not too surprisingly, none of the ones in the last paragraph make a difference.) – joriki Jul 10 '11 at 23:23$ f $and that one works for me too. Here's a pattern: There are five formulae in which the dollar sign is immediately followed by a punctuation sign in the first two paragraphs:$ f $'s,$ (a,b) $;,$ f $'s,$ w(x) $.and$ |\gamma'| = 1 $). Adding a space after the 2nd dollar sign makes the paragraph break appear after the first, the third and the fifth formula, this looks suspicious... However, I can't make out a simple pattern in which cases deletion leads to breaking the paragraph, but it seems somewhat related. Aaah what a waste of time ;-) – t.b. Jul 10 '11 at 23:47</p><p>chunks, but to prevent math expressions from breaking from extraneous inserts of HTML markup, it also globs against$$pairs. But somehow the pairing becomes ambiguous when you have excessive spaces in the TeX. – Willie Wong♦ Jul 11 '11 at 0:20