| 释义 |
Euler|ˈɔɪlə(r)|
The name of Leonard Euler (see Eulerian a.) used attrib., in Comb., or in the possessive to designate principles, effects, etc., discovered by him or arising out of his work.
1847Phil. Mag. 3rd Ser. XXX. 424 Recent researches.., in reference to the new analytical theory of imaginary quantities, have revived attention to Euler's theorem, that the sum of four squares multiplied by the sum of four squares produces the sum of four squares. 1889Cent. Dict., Euler's numbers, the numbers E2, E4, etc., which occur in the development of sec x by Maclaurin's theorem: namely, sec x = 1 + E2x2/2! + E4x4/4! + etc. Ibid., Euler's solution, a solution of a biquadratic after the second term has been got rid of. 1940Jrnl. R. Aeronaut. Soc. XLIV. 43 The term quasi-Euler is used to distinguish the failure which occurs by buckling over the greatest wave length which the supports allow from the corrugated failure fixed by the minimum condition. Although the skin fails in an Euler curve it is not a true Euler effect. 1947Courant & Robbins What is Math.? (ed. 4) v. 240 On the basis of Euler's formula it is easy to show that there are no more than five regular polyhedra. 1953W. Rudin Princ. Math. Anal. viii. 163, 1 + ½ +{ddd}+ (1/n)—log n..converges. (The limit, often denoted by γ, is called Euler's constant. Its value is 0·5772...) 1961New Scientist 16 Mar. 698/3 The result V + F - E = 2 was originally derived for polyhedra: this is the Euler-Descartes relation, known to Descartes but first explicitly proved by Euler. |