| Joseph Ray - 1866 - 420 pagina’s
...of the series ; or, 3d, to find the sum of a finite number of its terms. If, in any series, we take the first term from the second, the second from the third, the third from the fourth, and so on, the new series thus formed is called the first order of differences. If we proceed with this new scries... | |
| Elias Loomis - 1873 - 396 pagina’s
...be done by the method of differences. 369. To find the several orders of differences for any series: Subtract the first term from the second, the second from the third, the third from the fourth, etc. ; we shall thus form a new series, which is called \h& first order of differences. * Subtract... | |
| Royal Philosophical Society of Glasgow - 1875 - 434 pagina’s
...known. The series n3 will do well Series No 2. 1 8 7 27 19 12 64 37 18 6 125 6l 24 6 216 91 30 6 If we subtract the first term from the second, the second from the third, the third from the fourth, ifec., and place the remainders in a column to the right of the series ; and if we go on treating each... | |
| Webster Wells - 1879 - 468 pagina’s
...regular series, by means of the successive differences of its terms. 437. If, in any series, we take the first term from the second, the second from the third, the third from the fourth, and so on, the remainders will form a new series called the first order of differences. If the differences be taken... | |
| Leonard Marshall - 1883 - 198 pagina’s
...finding the several orders of differences of a given series of terms is the following : — (i.) Take the first term from the second, the second from the...third, the third from the fourth, and so on ; the remainders will form the first order of differences. (ii.) Take the first term of this last series... | |
| Edward Albert Bowser - 1888 - 868 pagina’s
...Any Term of a Series. — When we have a series whose terms proceed according to any law, if we take the first term from the second, the second from the...the fourth, and so on, the several remainders will form a new series called the first order of differences, If the differences of the terms of this new... | |
| David Martin Sensenig - 1890 - 204 pagina’s
...n = oo , then AC = -¡¡ . b The Differential Method. 612. If the first term of any series be taken from the second, the second from the third, the third from the fourth, and so on, a new series will be formed which is called the first order of differences. If the first order of differences... | |
| Joseph William Mellor - 1902 - 620 pagina’s
...•••• x + b °1 + by § 104. " The Calculus of Finite Differences." In the series, I3, 2s, 3s, 43, 5» subtract the first term from the second, the second...the third, the third from the fourth, and so on. The result is a new series, 7, 19, 37, 61, 91 called the first order of differences. By treating this new... | |
| William Otto Lichtner - 1921 - 432 pagina’s
...the column headed "Ex." are found by substracting the time reading of the first element from that of the second, the second from the third, the third from the fourth, and so on to the end of the readings. Sy. Read. Ex. Notes o.oo a 0.05 0.05 b 0.08 0.03 c 0.12 0.04 d 0.17 0.05... | |
| Ernst Rudolph Breslich - 1925 - 302 pagina’s
...segment to the nearest sixteenth of an inch. Subtract their lengths in the following order: the first from the second, the second from the third, the third from the fourth, and the fourth from the fifth. State your results in the following form: CD-AB= , GH-EF= , EF-CD= , IK-GH... | |
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