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" E, represent the errors which result from these substitutions. "We assume that the errors of the results are proportional to the errors of the assumed numbers. This supposition is not entirely correct ; but if we employ numbers near to the true values,... "
Key to Ray's Algebra: Parts First and Second : Containing Statements and ... - Page 282
by Joseph Ray - 1852 - 343 pages
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Key to Ray's New Algebras, Elementary and Higher: Containing Statements and ...

Joseph Ray - Algebra - 1867 - 240 pages
...results 60 —18 errors +36 Now, the true correction is 1, but -we obtained |, because although ihe suppositions, 2 and 4, are equally distant from the...suppositions is very near the true number. Attention to this principle will often guide the pupil in selecting trial numbers for the second operation. (4)...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...given equation, and. let E and E' represent the errors which result from these substitutions. We assume that the errors of the results are proportional to the errors of the assumed numbers. This supposition is not entirely correct; but if we employ numbers near to the true...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...given equation, and Jet E and E' represent the errors which result from these substitutions. We assume that the errors of the results are proportional to* the errors of the assumed numbers. This supposition is not entirely correct ; but if we employ numbers near to the true...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 868 pages
...separately substituted for x in /(«); and assume that the results, which may also be considered as the errors of the results, are proportional to the errors of the assumed numbers. Although tin's assumption is not strictly correct, yet if the numbers a and b are...
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