单词 | sturmian |
释义 | Sturmianadj.n. Mathematics. 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. ΘΚΠ the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to physico-mathematical1660 analytical1694 Bernoulli1749 analytic1761 Boolean1851 Sturmian1853 Bernoullian1876 Fermatian1887 Grassmannian1894 number-theoretic1899 Cantor1902 Cantorian1912 Tauberian1913 Thiessen1923 intuitionist1926 metamathematical1926 finitist1931 number-theoretical1936 finitistic1937 proof-theoretic1940 formalistic1941 Gödelian1942 constructivist1943 constructivistic1944 game-theoretical1946 game-theoretic1950 finitary1952 perturbation-theoretic1964 perturbation-theoretical1968 constructive1979 1853 [see sense B.]. 1853 Sylvester in Philos. Trans. (Royal Soc.) 143 458 The Sturmian process. 1853 Sylvester in Philos. Trans. (Royal Soc.) 143 469 The simplified ith Sturmian residue Ri. 1853 Sylvester in Philos. Trans. (Royal Soc.) 143 473 The Sturmian convergents. 1853 Sylvester in Philos. Trans. (Royal Soc.) 143 483 The simplified Sturmian series given. 1853 Sylvester in Philos. Trans. (Royal Soc.) 143 485 My formulæ for the Sturmian functions. 1861 A. Cayley Coll. Math. Papers IV. 473 A discussion of the Sturmian constants for cubic and quartic equations. B. n. = Sturmian function or residue. ΚΠ 1853 Sylvester in Philos. Trans. (Royal Soc.) 143 483 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. This entry has not yet been fully updated (first published 1919; most recently modified version published online June 2018). < adj.n.1853 |
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