In general, if the number is not an exact power of 10, its logarithm, in the common system, will consist of two parts — an entire part and a decimal part. The entire part is called the characteristic and the decimal part is called the mantissa. Plane and Spherical Trigonometry and Mensuration - Side 10av Aaron Schuyler - 1875 - 251 siderUten tilgangsbegrensning - Om denne boken
| Isaac Todhunter - 1866 - 192 sider
...between 100 and 1000 its logarithm lies between 2 and 3 : and so on. The integral part of a logarithm **is called the characteristic, and the decimal part is called the mantissa;** thus as the logarithm of any number between 100 and 1000 is greater than 2 and less than 3, it is equal... | |
| Aaron Schuyler - 1864 - 490 sider
...system, the logarithm of an exact power of 10 is the whole number equal to the exponent of the power. **3. Consequences. 1. If the number is greater than...find the laws for the characteristic. Let (1) 10*** = n • then, by def, log n — x. But (2) 10!= 10. (1) -+- (2) = (3) 10*-' = ^ ; then, by def, log... | |
| Aaron Schuyler - 1864 - 490 sider
...number is greater than 10 and less than 100, its logarithm is greater than 1 and less than 2, or is 1 + **a decimal. 3. In general, if the number is not an...find the laws for the characteristic. Let (1) 10*** = n ; then, by def., log n = x. But (2) 10'= 10. (l).ä. (2) = (3) 10'.' = ^; then, by def, log £... | |
| Aaron Schuyler - 1864 - 490 sider
...is greater than 10 and less than . 100, its logarithm is greater than 1 and less than 2, or is 1 -(- **a decimal. 3. In general, if the number is not an...Problem. To find the laws for the characteristic. Let (1)** 10X = n ; then, by def., log n = x. But (2) lO^lO. a) -°- (2) = (3) 10'~'=n); then' by def-i10" i5... | |
| Henry Sinclair Hall, Samuel Ratcliffe Knight - 1891 - 557 sider
...arid <= ICT1 ; . •. log '06 = - 2 + a fraction. 209. DEFINITION. The integral part of a logarithm **is called the characteristic, and the decimal part is called the mantissa.** The characteristic of the logarithm of any number to the base 10 can be written down by inspection,... | |
| Henry Sinclair Hall, Samuel Ratcliffe Knight - 1893 - 404 sider
...-06>10-2 and <10~1; . •. log -06 = - 2 + a fraction. 161. DEFINITION. The integral part of a logarithm **is called the characteristic, and the decimal part is called the mantissa.** The characteristic of the logarithm of any number to the 10 can be found by inspection, as we shall... | |
| Alfred Hix Welsh - 1894 - 206 sider
...is, 102-3692 = 234. Cor. IV. — In general, if a number is not an exact power of 10, its logarithm **will consist of two parts, — an entire part and...part. • The entire part is called the Characteristic** ; the decimal part, the Mantissa. § 3. LAWS OF THE CHARACTERISTIC. THEOREM II. Let (1) 10* = n; then,... | |
| Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 478 sider
...-06>10-a and <10-! ; .-. log -06=— 2+ a fraction. 407. DEFINITION. The integral part of a logarithm **is called the characteristic, and the decimal part is called the mantissa.** 408. To determine the characteristic of the logarithm of any number greater than unity. It is clear... | |
| Thomas Ulvan Taylor, Charles Puryear - 1902 - 160 sider
...Similarly, the logarithm of any positive number consists of a whole number plus a decimal. The whole number **is called the characteristic, and the decimal part is called the mantissa.** Table I in the Appendix gives the mantissas of the logarithms of numbers from 1 to 10000. It is not... | |
| Joseph Claudel - 1906 - 708 sider
...number 0.236 and — 2 for the number 0.00326. 397. The whole part of a positive or negative logarithm **is called the characteristic, and the decimal part is called the mantissa.** 398. The logarithm of a number multiplied or divided by a power of 10. From (396) it follows that knowing... | |
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