| Isaac Dalby - Mathematics - 1807 - 476 pages
............................ — 2-793830 Therefore the index or characteristic of any logarithm is always l **less than the number of figures in the integral part of the** natural number. Explanation and use of the TalJe of Logarithms. 170. THE table contains the logarithms... | |
| John Gummere - Surveying - 1814 - 390 pages
...in part, decimal, the index must be changed accordingly. Observing that the index must always be one **less, than the number of figures in the integral part of the** given number; also, when the given number is wholly a decimal, the index is negative, and must be one... | |
| William Galbraith - Astronomy - 1834 - 428 pages
...greater than 1 and less than 2, that is, they are 1 with some fraction annexed, and so on. The whole **numbers or integers in the logarithmic series are...generalize, let us assume the two following series** : r*, r", r*", r*'",&c. . . (1) y, y', y", /", &c. . . (2) in which r is some given number greater... | |
| Silas Totten - Algebra - 1836 - 362 pages
...numbers or decimals, will be the same, with the exception of the characteristic, which will always be one **less than the number of figures in the integral part of the** number. For example; taking the number 654685, and dividing it successively by 10, and for each division... | |
| Abraham Crocker - 1841 - 490 pages
...or thousands, the index is 3 ; and so on uniformly, as in the foregoing series, the index being one **less than the number of figures in the integral part of the** natural number. The decimal part of a logarithm is the same, whether the natural number to which it... | |
| Thomas Tate (mathematical master.) - 1848 - 284 pages
...2-60906, where 2 is the characteristic and -60906 is the mantissa. As the characteristic is always 1 **less than the number of figures in the integral part of the** number, the logarithm given in the tables is only the decimal part of the required logarithm, and the... | |
| Samuel Alsop - Surveying - 1865 - 440 pages
...must be changed in accordance with the principles laid down in Art. 7. Thus, the index must be one **less than the number of figures in the integral part of the** natural number. But when the natural number is wholly a decimal the index is negative, and must be... | |
| Sydney Lupton - Chemistry - 1882 - 374 pages
...log 100 =2, 1000 = 10*, log 1000 = 3. Hence the characteristic for a number greater than unity is one **less than the number of figures in the integral part of the** number. it affects only the characteristic and not the mantissa, which always remains positive. Since... | |
| John Maximilian Dyer - Plane trigonometry - 1891 - 306 pages
...and 10"; so its logarithm lies between n — 1 and n. That is, the characteristic is n — 1, -or one **less than the number of figures in the integral part of the** given number. 2. When the number is less than unity, suppose it a decimal with n cyphers immediately... | |
| John Bascombe Lock - Logarithms - 1896 - 242 pages
...the following rule : RULE. The characteristic of the logarithm of a number greater than unity is one **less than the number of figures in the integral part of the** number. The characteristic of a number less than unity is negative, and (when the number is expressed... | |
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