| 单词 | fibonacci numbers |
| 释义 | > as lemmasFibonacci('s) numbers Used attributively or in the possessive, esp. in Fibonacci('s) numbers, the numbers 1, 1, 2, 3, 5, 8,.., where every number after the first two is the sum of the two preceding numbers (0 is sometimes included as the first term); Fibonacci('s) sequence, Fibonacci('s) series, the series of Fibonacci numbers, or any similar series in which each term is an integer equal to the sum of the two preceding terms. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > infinite secundan1685 infinite series1706 Taylor('s) series1816 Maclaurin's series1881 power series1884 Fibonacci('s) series1891 Laurent's expansion1893 Fibonacci('s) numbers1914 majorant1925 tetrahedral numbers1939 Fibonacci('s) sequence1964 binomial series1966 1891 Cent. Dict. VII. 5509/2 Fibonacci's series, the phyllotactic succession of numbers: 0, 1, 1, 2, 3, 5,..etc. 1901 Ann. Bot. 15 481 This series of fractional expressions, which involves the utilization of the Fibonacci ratio series 2, 3, 5, 8, 13, &c., has thus proved for over sixty years the ground-work of all theories of phyllotaxis. 1914 T. A. Cook Curves of Life v. 88 The fact that these Fibonacci numbers dominated leaf-arrangements in the case of higher plants was first established by the German botanists, Schimper and Braun (1830). 1929 Mind XXXVIII. 54 The side of the decagon..may be read off at once to any required degree of accuracy from our table of the Sectio Divina or Golden Mean, or in other words from our Fibonacci series. 1938 G. H. Hardy & E. M. Wright Introd. Theory of Numbers x. 147 The series (Un) or 1, 1, 2, 3, 5, [etc.]..is usually called Fibonacci's series. 1939 W. W. R. Ball Math. Recreations & Ess. (ed. 11) ii. 57 The ratios of alternate Fibonacci numbers are said to measure the fraction of a turn between successive leaves on the stalk of a plant: 1/ 2 for grasses, 1/ 3 for sedges, 2/ 5 for the apple, cherry, etc., 3/ 8 for the common plantain,..and so on. 1961 H. S. M. Coxeter Introd. Geom. xi. 172 Fibonacci numbers as large as f10 = 55, f11 = 89, f12 = 144 arise as the numbers of visible spirals in certain varieties of sunflower. 1964 Fibonacci Q. Feb. 34 The only Fibonacci sequence having all primes as divisors [of] one or other of its terms is the one Fibonacci sequence with a zero element, namely: 0, 1, 1, 2, 3, 5, 8, 13,… 1970 Daily Tel. 27 June 7 I do not for a moment believe that the musical sense can be traced back to the employment..of numbers from the Fibonacci series (1, 1, 2, 3, 5, 8, 13 and so on), with their ever closer approximation to the golden section. < as lemmas |
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