| 释义 |
Sturmian, a. and n. Math.|ˈstɜːmɪən|
[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. n. = Sturmian function or residue.
1853Sylvester 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 Ri. Ibid. 473 The Sturmian convergents. Ibid. 483 The simplified Sturmian series given. Ibid. 485 My formulæ for the Sturmian functions. 1861Cayley Math. Papers IV. 473 A discussion of the Sturmian constants for cubic and quartic equations. |