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An approximate model is used to make calculations easier. Approximations might also be used if incomplete information prevents use of exact representations. The type of approximation used depends on the available information , the degree of accuracy required , the sensitivity of the problem to this data, and the savings (usually in time and ...
Alternatively, the quick approximation 99/70 (≈ 1.41429) for the square root of two was frequently used before the common use of electronic calculators and computers. Despite having a denominator of only 70, it differs from the correct value by less than 1/10,000 (approx. 7.2 × 10 −5). Its simple continued fraction is periodic and given by:
Metric (SI) measurements generally use decimals, not fractions (5.25 mm, not 5 1 ⁄ 4 mm). Non-metric (imperial and US customary) measurements may use fractions or decimals (5 1 ⁄ 4 inches; 5.25 inches); the practice of reliable sources should be followed, and within-article consistency is desirable.
The following list includes the continued fractions of some constants and is sorted by their representations. Continued fractions with more than 20 known terms have been truncated, with an ellipsis to show that they continue. Rational numbers have two continued fractions; the version in this list is the shorter one.
(Reuters) -Apple is closing in on a historic $4 trillion stock market valuation, powered by investors cheering progress in the company's long-awaited AI enhancements to rejuvenate sluggish iPhone ...
Of these, is the only fraction in this sequence that gives more exact digits of π (i.e. 7) than the number of digits needed to approximate it (i.e. 6). The accuracy can be improved by using other fractions with larger numerators and denominators, but, for most such fractions, more digits are required in the approximation than correct ...
A former Allianz fund manager was spared prison time on Friday over his role in a meltdown of private investment funds sparked by the COVID-19 pandemic that caused an estimated $7 billion of ...
Kerr saw it (as did a number of players) and frantically started shouting and motioning to the referees, calling for a technical foul, which is the punishment when a player tries to take a timeout ...