| Elias Loomis - 1846 - 376 sider
...Take the first term from the second, the second from the third, the third from the fourth, ¿ce. ; and the remainders will form a new series, called the FIRST ORDER OF DIFFERENCES. 2. Take t he first term of this last 2eries from the second, the second from the third, the third from the... | |
| Davis Wasgatt Clark - 1846 - 374 sider
...orders of differences belonging to the series. 1. Orders of Differences. 1. If we take the first term from the second, the second from the third, the third from the fourth, &c., in the given series, the remainders will form a new series, which is called the first order of differences.... | |
| John Bonnycastle - 1851 - 288 sider
...1.—Any series being given to find its several orders of differences. RULE 1.—Take the first term from the second, the second from the third, the third...from the fourth, &c., and the remainders will form a new series, called the first order of differences. 2. Take the first term of this last series from... | |
| Joseph Ray - 1852 - 408 sider
...series ; or, 3rd, 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... | |
| Elias Loomis - 1855 - 356 sider
...1. Take the first term from the second, the second from tne third, the third from the fourth, &fc. ; and the remainders will form a new series, called...series from the second, the second from the third, fyc. ; and the remainders will form a third series, called the SECOND ORDER OF DIFFERENCES. 3. Proceed... | |
| Elias Loomis - 1858 - 394 sider
...1. Take the first term from the second, the second from tne third, the third from the fourth, $c. ; and the remainders will form a new series, called the FIRST ORDER or DIFFERENCES. 2. Take the first term of this last series from the second, the second from the third,... | |
| Elias Loomis - 1864 - 386 sider
...1. Take tne first term from the second, the second from, ine third, the third from the fourth, fyc.; and the remainders will form a new series, called...series from the second, the second from the third, fyc.; and the remainders will form a third series, called the SECOND ORDER OF DIFFERENCES. 3. Proceed... | |
| Benjamin Greenleaf - 1864 - 420 sider
...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 in this new series in like manner, we obtain the second order of differences,... | |
| Joseph Ray - 1866 - 420 sider
...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... | |
| Joseph Ray - 1852 - 422 sider
...series; or, 3rd, 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... | |
| |