Source: p 123, A Student's Introduction to English Grammar (2005), by Huddleston & Pullum
The basic division, then, is between words that modify nouns, and words that modify other categories (categories of words or of larger constituents). The noun-modifiers are adjectives, and the others are adverbs.1 [1.] By no means all adverbs
can
modify all of this wide range of head elements, but there is a significant amount of overlap.
Is 1 wrong? Why did 1 lack subject-auxiliary inversion? I thought that by no means requires it? This didn't help. Based on this definition, here's my guess of the meaning of the last sentence:
2. By no means can
all adverbs
modify all of this wide range of head elements ...
= 3. No means exist, by which all adverbs can
modify all of this wide range of head elements ...