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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. A point on a line gives a combination of 2p and 5p for its given total (green).
The postage stamp problem (also called the Frobenius Coin Problem and the Chicken McNugget Theorem [1]) is a mathematical riddle that asks what is the smallest postage value which cannot be placed on an envelope, if the latter can hold only a limited number of stamps, and these may only have certain specified face values.
The practical problem of checking whether a coin is fair might be considered as easily solved by performing a sufficiently large number of trials, but statistics and probability theory can provide guidance on two types of question; specifically those of how many trials to undertake and of the accuracy of an estimate of the probability of ...
Sylvester's closed solution for the Frobenius coin problem when there are only two coins. Sylvester's triangle problem, a particular geometric representation of the sum of three vectors of equal length; The Weinstein–Aronszajn identity, stating that det(I + AB) = det(I + BA), for matrices A, B, is sometimes attributed to Sylvester.
Coin values can be modeled by a set of n distinct positive integer values (whole numbers), arranged in increasing order as w 1 through w n.The problem is: given an amount W, also a positive integer, to find a set of non-negative (positive or zero) integers {x 1, x 2, ..., x n}, with each x j representing how often the coin with value w j is used, which minimize the total number of coins f(W)
Cauchy–Frobenius lemma; Frobenioid; Frobenius algebra; Frobenius category; Frobenius characteristic map; Frobenius coin problem. Frobenius number; Frobenius companion matrix; Frobenius covariant; Frobenius element; Frobenius endomorphism (also known as Frobenius morphism, Frobenius map) Frobenius determinant theorem; Frobenius formula ...
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1.2 Postage stamp problem. 2 "McNugget Theorem"? 3 comments. 3 Frobenius numbers for special sets. 2 comments. 4 ...