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" 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 - Page viii
by Aaron Schuyler - 1875 - 251 pages
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...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...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Measurement - 1873 - 508 pages
...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...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Measurement - 1864 - 506 pages
...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 £...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Measurement - 1864 - 506 pages
...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...
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Higher Algebra: A Sequel to Elementary Algebra for Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1891 - 606 pages
...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,...
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Elementary Trigonometry

Henry Sinclair Hall, Samuel Ratcliffe Knight - Plane trigonometry - 1893 - 434 pages
...-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...
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Plane and Spherical Trigonometry

Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...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,...
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Elementary Algebra

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...-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...
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The Elements of Plane and Spherical Trigonometry

Thomas Ulvan Taylor, Charles Puryear - Trigonometry - 1902 - 248 pages
...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...
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...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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