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The commonly-used diagram for the Borromean rings consists of three equal circles centered at the points of an equilateral triangle, close enough together that their interiors have a common intersection (such as in a Venn diagram or the three circles used to define the Reuleaux triangle).
A Venn diagram, also called a set diagram or logic diagram, shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set.
Venn diagram of information theoretic measures for three variables x, y, and z. Each circle represents an individual entropy: is the lower left circle, the lower right, and is the upper circle.
E.g. row AB corresponds to the 2-circle, and row ABC to the 3-circle Venn diagram shown above. (As in the Venn diagrams, white is false, and red is true.) The truth table of A ⊕ B {\\displaystyle A\\oplus B} shows that it outputs true whenever the inputs differ:
intersection of three circles Note: 3 circle Venn diagrams have 2 3 = 8 areas, like this one: Date: 20 March 2008: Source: Own work: Author: JesperZedlitz: Other ...
Venn diagram of information theoretic measures for three variables x, y, and z, represented by the lower left, lower right, and upper circles, respectively. The interaction information is represented by gray region, and it is the only one that can be negative.
A Venn diagram is a representation of mathematical sets: a mathematical diagram representing sets as circles, with their relationships to each other expressed through their overlapping positions, so that all possible relationships between the sets are shown. [4]
The three-circle Venn diagrams for the Syllogisms are much too complicated (absurdly so). As a retired maths prof and logician/philosopher, I would NEVER use the ones shown now in one of my classes. Below, I submit examples of vastly simpler Venn diagrams, or Euler diagrams — geometric "proofs" — with two twists or clarifying devices:
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