Old Rosin the Beau Old Rosin the Beau "Old Rosin the Beau" (or "Rosin the Bow") is an American folk song popular in the 19th century, probably of British or Irish origin, first published in Philadelphia during 1838. An earlier version, "Rosin the Bow" (not "Beau") refers to rosin with the bow of a violin, but both cover the same general subject ("see below:" Full lyrics). There are many variations of the song(s), and the tune has been re-used in other songs for political campaign jingles, slave songs, comedy songs, or other folk songs. Early versions of "Old Rosin the Beau" relate the story
Proportional cake-cutting Proportional cake-cutting A proportional cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the proportionality criterion, namely, that every partner feels that his allocated share is worth at least 1/"n" of the total. Two assumptions are usually made when proportionality is discussed: For two people, divide and choose is the classic solution. One person divides the resource into what they believe are equal halves, and the other person chooses the "half" they prefer. The non-atomicity assumption guarantees that the cutter can indeed cut the cake to two equal pieces; the additivity