| 单词 | waring's theorem |
| 释义 | > as lemmasWaring's theorem Used to designate a conjecture, published by Waring in 1770 and proved by Hilbert in 1909, that every integer is equal to the sum of not more than g sth powers, g depending on s but not on the integer. Usually Waring's problem, Waring's theorem. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > specific conjecture Goldbach1902 Riemann hypothesis1918 Waring's problem1920 Poincaré conjecture1938 Church's theorem1939 Church's thesis1954 the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem > specific theorem pons asinorum1718 Fermat's theorem1845 Bernoulli's theorem1865 Fermat's last theorem1865 Fourier's theorem1880 remainder theorem1886 Stokes' theorem1893 Jordan('s) (curve) theorem1900 Waring's theorem1920 Gödel's theorem1933 maximin1953 incompleteness theorem1955 Schwarz inequality1955 1920 G. H. Hardy Some Famous Probl. Theory of Numbers 14 I pass on..to the principal object of my lecture, the very famous problem known..as Waring's Problem. 1920 L. E. Dickson Hist. Theory Numbers II. xxv. 721 E. Maillet proved Waring's theorem for eighth powers. 1940 E. T. Bell Devel. Math. xiv. 294 Equally prolific of new analysis and far-reaching theorems in arithmetic was the advance beginning in 1909 with Hilbert's solution of Waring's problem. 1962 C. S. Ogilvy Tomorrow's Math v. 92 Nineteen fourth powers are required to make up 79, and it is conjectured that 19 is the answer to Waring's problem for fourth powers. < as lemmas |
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