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A Five-Color Map. The five color theorem is a result from graph theory that given a plane separated into regions, such as a political map of the countries of the world, the regions may be colored using no more than five colors in such a way that no two adjacent regions receive the same color. The five color theorem is implied by the stronger ...
A four-colored map of the states of the United States (ignoring lakes and oceans) In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of ...
A trichrome map-coloring game in progress, on a map of the United States. On their turn, a player may choose any of the three colors to shade an unshaded state, so long as it would not share a color with a bordering state. Three states have become unshadeable, being surrounded by all three colors. Several map-coloring games are studied in ...
Exploration of North America. The exploration of North America by European sailors and geographers was an effort by major European powers to map and explore the continent with the goal of economic, religious and military expansion. The combative and rapid nature of this exploration is the result of a series of countering actions by neighboring ...
Perfect information: A game has perfect information if it is a sequential game and every player knows the strategies chosen by the players who preceded them. Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if ...
A collection of tantalizing fallacies of mathematics. 1958 Feb. Concerning the game of Nim and its mathematical analysis. 1958 Mar. About left- and right-handedness, mirror images and kindred matters. 1958 Apr. Concerning the celebrated puzzle of five sailors, a monkey and a pile of coconuts.
Strategy. Game theory is the study of mathematical models of strategic interactions. [1] It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. [2] Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly ...
Detail of the map showing the names "Catigara" and "Mallaqua" where "was slain St. Thomas". The Waldseemüller map or Universalis Cosmographia ("Universal Cosmography ") is a printed wall map of the world by German cartographer Martin Waldseemüller, originally published in April 1507. It is known as the first map to use the name "America".