| 单词 | method of increments |
| 释义 | > as lemmasMethod of Increments b. Mathematics and Physics. A small (or sometimes infinitesimal) amount by which a variable quantity increases (e.g. in a given small time); spec. the increase (positive or negative) of a function due to a small increase (esp. of unity) in the variable, as in the Method of Increments, now called the Calculus of Finite Differences (see difference n.1 4c). ΘΚΠ the world > relative properties > number > calculus > [noun] > differential calculus > differentiation > differential differential1702 moment1706 momentane1706 increment1721 element1728 momentum1735 H1872 interval1918 differentio-differential1939 the world > relative properties > number > algebra > [noun] > expression > function > value or set of values of > change in values > specific amount increment1721 variation1810 1715 B. Taylor (title) Methodus Incrementorum.] 1721 N. Bailey Universal Etymol. Eng. Dict. Increment, in Algebra, signifies the infinitely small increase of a line in Fluxions, growing bigger by Motion. 1743 W. Emerson Doctr. Fluxions 2 The indefinitely small Portions of the Fluent which are generated in any indefinitely small Portions of Time are called Moments or Increments. 1749 D. Hartley Observ. Man i. iii. 352 The Supposition that Fluxions are not Increments, but relative Nothings. 1763 W. Emerson Method of Increments Pref. p. iv The Inventor of the Method of Increments was the learned Dr. Taylor. 1803 J. Wood Princ. Mech. (ed. 3) vii. 134 Equal increments of velocity are always generated in equal times. 1834 M. Somerville On Connexion Physical Sci. (1849) x. 80 The sum of all these increments of velocity..would in time become perceptible. 1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §28 Acceleration of velocity..is said to be uniform when the velocity receives equal increments in equal times. < as lemmas |
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