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The change-making problem addresses the question of finding the minimum number of coins (of certain denominations) that add up to a given amount of money. It is a special case of the integer knapsack problem , and has applications wider than just currency.
Authorities may alleviate this problem by redenomination: introducing a new unit that replaces the old unit, with a fixed number of old units being converted to 1 new unit. If inflation is the reason for redenomination, this ratio is much larger than 1, usually a positive integral power of 10 like 100, 1000 or 1 million, and the procedure can ...
Decimalisation or decimalization (see spelling differences) is the conversion of a system of currency or of weights and measures to units related by powers of 10.. Most countries have decimalised their currencies, converting them from non-decimal sub-units to a decimal system, with one basic currency unit and sub-units that are valued relative to the basic unit by a power of 10, most commonly ...
Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs: Sloping lines denote graphs of 2x+5y=n where n is the total in pence, and x and y are the non-negative number of 2p and 5p coins, respectively.
By default, the output value is rounded to adjust its precision to match that of the input. An input such as 1234 is interpreted as 1234 ± 0.5, while 1200 is interpreted as 1200 ± 50, and the output value is displayed accordingly, taking into account the scale factor used in the conversion.
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
Colour key and notes Indicates that a given currency is pegged to another currency (details) Italics indicates a state or territory with a low level of international recognition State or territory Currency Symbol [D] or Abbrev. ISO code Fractional unit Number to basic Abkhazia Abkhazian apsar [E] аҧ (none) (none) (none) Russian ruble ₽ RUB Kopeck 100 Afghanistan Afghan afghani ؋ AFN ...
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.