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" In general, since any number having n digits in its integral part lies between 10n-1 and 10", its logarithm lies between n - 1 and n, ie, is n - 1 + a decimal. We therefore have : (i.) The characteristic of the logarithm of a number greater than unity... "
Logarithmic and Trigonometric Tables - Page 50
edited by - 1914 - 97 pages
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...10 next below that number; and hence, in the common system, (1.) If a number be greater than unity, the characteristic of its logarithm is one less than the number of its integral places ; (2.) if less than unity, the negative characteristic. is numerically one greater...
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Algebra: An Elementary Text Book for the Higher Classes of Secondary ..., Part 1

George Chrystal - Algebra - 1886 - 578 pages
...digits. For example, if the radix and base be each 10, then If tlie number have an integral part, tlie characteristic of its logarithm is + (one less than the number of digits in the integral part). If tlie number liave no integral part, the characteristic is - (one more than the...
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Algebra: An Elementary Text-book for the Higher Classes of ..., Volume 1

George Chrystal - Algebra - 1893 - 604 pages
...the digits. For example, if the radix and base be each 10, then If tiie number have an integral part, the characteristic of its logarithm is + (one less than the number of digits in the integral part). If the number have no integral part, the characteristic is - (one more than the,...
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Plane Trigonometry

Sidney Luxton Loney - Plane trigonometry - 1893 - 534 pages
...the characteristic will be 3. Generally, the characteristic of the logarithm of any number will be one less than the number of digits in its integral part. The number 296-3457 has 3 figures in its integral part and therefore the characteristic of its logarithm...
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Elements of Algebra with Exercises

George Egbert Fisher - Algebra - 1899 - 506 pages
...therefore have : (i.) The characteristic of the, logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part. Eg, log 2756.3 = 3 + a decimal. Since a number less than 1 having no cipher immediately following the...
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Secondary Algebra

George Egbert Fisher - 1900 - 444 pages
...therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part. Eg, log 2756.3 = 3 + a decimal. Since a number less than 1 having no cipher immediately following the...
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Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part. Eg, log 2756.3 = 3 + a decimal. Since a number less than 1 having no cipher immediately following the...
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Complete Secondary Algebra

George Egbert Fisher - 1901 - 320 pages
...therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part. Eg, log 2756.3 = 3 + a decimal. Since a number less than 1 having no cipher immediately following the...
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Plane Trigonometry and Applications

Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...1. If 100 < N< 1000, then 2 < log N< 3. . • . log 2V has the characteristic 2. + 1. .-. log^Vhas the characteristic k. We may formulate these results...show how to find the characteristic of log N when N<1. If .1 < N< 1, then - K log N< 0. . • . log N has the characteristic — 1. If .01 < N< .1, then...
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College Algebra: With Applications

Ernest Julius Wilczynski - Algebra - 1916 - 542 pages
...number N has k + 1 digits to the left of the decimal point, we obtain the following rule : II. If N is any number greater than 1, the characteristic of its...on account of its mechanical character. Statement I provides a better method (less mechanical and easier to remember) for determining the characteristic....
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