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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.
Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs by CMG Lee. 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).
When a sylver coinage game has only a finite number of remaining moves, the largest number that can still be played is called the Frobenius number, and finding this number is called the coin problem. [ 5 ]
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 ...
1.2 Postage stamp problem. 2 "McNugget Theorem"? 3 comments. 3 Frobenius numbers for special sets. 2 comments. 4 ...
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.
Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory.