There is an important relationship between the characteristic roots of a symmetric matrix and the r and p of the associated quadratic form. It is true that the number of positive characteristic roots is p, whereas the number of nonzero characteristic roots is r.

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And besides, said the Superior suddenly, you're too sidey, young man. Calling yourself The Civilian! People won't like that. It's sidey. It'll annoy them. It's uppish.

Eunice Marshall asked in a bored tone, Are you, by any chance, selling magazines? Daisy grinned childishly, enjoying Eunice's mistake. You're quite a sharpie, aren't you, ma'am? You figured me out a whole lot faster than most people do.