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单词 sturmian
释义

Sturmianadj.n.

/ˈstəːmɪən/
Etymology: < Sturm (see below) + -ian suffix.
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).
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adj.n.1853
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