Eulerianadj.
/juːˈlɪərɪən/ Of, pertaining to, or discovered by, Euler; as Eulerian function, Eulerian integral.
ΚΠ
1882 G. M. Minchin Uniplanar Kinematics 139 In the first case what we have done for the fixed-space point P we imagine to be done for all fixed-space points; and in the second case we imagine our record to be similarly kept for every individual fluid particle..They are..often called the Eulerian and the Lagrangian methods, respectively.
1886 I. Todhunter Integral Calculus 249 We shall now prove an important equation which connects the two Eulerian integrals.
1886 I. Todhunter Integral Calculus 255 The quantity C is called Euler's constant.
Compounds
Eulerian constant n. Mathematics = Euler's constant n. at Euler n. 2.
ΚΠ
1889 Cent. Dict. at Eulerian Eulerian constant, the value of 1 + 1/ 2 + 1/ 3 + … + 1/ n − 1 − 1/ n + 1 + 1/ n + 2 + … + 1/ n2 − 1 − 1/ 3n2 − 1/ 10n4 − 1/ 126n6, where n is infinite. It is 0.57721566490153286060+.
1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxi. 442 The so-called ‘Eulerian constant’, often represented by the Greek letter γ, is..a well-known number that has been calculated to hundreds of decimal places, of which the first ten are 0.5772156649.
This entry has not yet been fully updated (first published 1891; most recently modified version published online September 2019).
<
adj.1882