| 单词 | infinite series |
| 释义 | > as lemmasinfinite series c. infinite series: a series of quantities or expressions which may be indefinitely continued without ever coming to an end (but may or may not have a finite value or ‘limit’ to which it approaches as more and more terms are taken: see converging adj. 2, divergent adj. 4). So infinite decimal. 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 1706 W. Jones Synopsis Palmariorum Matheseos 44 The Operation may either be terminated..or else continued on in an Infinite Series. 1763 W. Emerson Method of Increments Pref. p. vi The Method of Increments will help us to this term, either expressed in finite quantities, or by an infinite series. 1796 C. Hutton Math. & Philos. Dict. Infinite Decimals, such as do not terminate, but go on without end. 1875 I. Todhunter Algebra for Schools (ed. 7) xl. §557 An infinite series in which all the terms are of the same sign is divergent if each term is greater than some assigned finite quantity, however small. < as lemmas |
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