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Parametric Graphs: Yes; Implicit Polynomials: Yes; Web Export: all constructions exportable as web pages as a Java applet; Macros: usable both as tools with the mouse and as commands in the input field; Animation: Yes; Spreadsheet: Yes, the cells can contain any GeoGebra object (numbers, points, functions etc.) Dynamic text: Yes (including LaTeX)
Today, the game is used by math and physics teachers around the world when teaching vectors and kinematics. However, the game has a certain charm of its own, and may be played as a pure recreation. Martin Gardner noted that the game was "virtually unknown" in the United States, and called it "a truly remarkable simulation of automobile racing".
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In the particular counting-out game that gives rise to the Josephus problem, a number of people are standing in a circle waiting to be executed. Counting begins at a specified point in the circle and proceeds around the circle in a specified direction. After a specified number of people are skipped, the next person is executed.
A circle with five chords and the corresponding circle graph. In graph theory, a circle graph is the intersection graph of a chord diagram.That is, it is an undirected graph whose vertices can be associated with a finite system of chords of a circle such that two vertices are adjacent if and only if the corresponding chords cross each other.
The intersection graph of the lines in a hyperbolic arrangement can be an arbitrary circle graph. The corresponding concept to hyperbolic line arrangements for pseudolines is a weak pseudoline arrangement , [ 52 ] a family of curves having the same topological properties as lines [ 53 ] such that any two curves in the family either meet in a ...
Ramsey theory can also be used to show that no game of Sim can end in a tie. Specifically, since the Ramsey number R(3, 3) is equal to 6, any two-coloring of the complete graph on 6 vertices (K 6) must contain a monochromatic triangle, and therefore is not a tied position. This will also apply to any super-graph of K 6.
A pie chart (or a circle chart) is a circular statistical graphic which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area ) is proportional to the quantity it represents.