a. and sb. Math. [f. Sturm (see below) + -IAN.] a. adj. Pertaining to or discovered by the Swiss mathematician, J. C. F. Sturm (1803–55), esp. with reference to his researches in the theory of equations. b. sb. = Sturmian function or residue.
1853. Sylvester, in Phil. Trans., CXLIII. 483. Reverting now to the simplified Sturmian residues, since … these differ from the unsimplified complete residues required by the Sturmian method only in the circumstance of their being divested of factors, which are necessarily … positive, these simplified Sturmians may of course be substituted for the complete Sturmians for the purposes of M. Sturm’s theorem. Ibid., 458. The Sturmian process. Ibid., 469. The simplified ith Sturmian residue R1. Ibid., 473. The Sturmian convergents. Ibid., 483. The simplified Sturmian series given. Ibid., 485. My formulæ for the Sturmian functions.
1861. Cayley, Math. Papers, IV. 473. A discussion of the Sturmian constants for cubic and quartic equations.
