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For example, in detecting a dissimilar coin in three weighings ( = ), the maximum number of coins that can be analyzed is = .Note that with weighings and coins, it is not always possible to determine the nature of the last coin (whether it is heavier or lighter than the rest), but only that the other coins are all the same, implying that the last coin is the ...
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The names of these coins have all been defined by Congress in 31 USC 5112 . Quoting the part under discussion here: (5) a 5-cent coin that is 0.835 inch in diameter and weighs 5 grams. Additionally, all US coins have their names printed right on them. A dime is a "dime", a quarter dollar is a "quarter dollar" and five cents is "five cents".
In addition, the Red Book lists commemorative coins, mint sets and proof sets, and bullion coins, as well as significant U.S. pattern coins, private and territorial gold, Hard-times tokens and Civil War tokens. Also listed are Confederate issues, Hawaiian tokens and coins, Philippine issues and Alaskan tokens.
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Example of an Early American Cent - the coins that inspired Sheldon to create a more precise grading scale. (Courtesy of the National Numismatic Collection, National Museum of American History [photograph by Jaclyn Nash].) The Sheldon Coin Grading Scale is a 70-point coin grading scale used in the numismatic assessment of