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A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.
Information diagrams have also been applied to specific problems such as for displaying the information theoretic similarity between sets of ontological terms. [ 3 ] Venn diagram showing additive and subtractive relationships among various information measures associated with correlated variables X and Y .
Deutsch: Venn-Diagramm, das die Großbuchstaben des standardisierten griechischen, lateinischen und kyrillischen Alphabets und ihre Gemeinsamkeiten zeigt. Français : Diagramme de Venn montrant les majuscules de l’alphabet standard grec, latin et cyrillique et ses communautés.
Parts of these same circles are used to form the triquetra, a figure of three overlapping semicircles (each two of which form a vesica piscis symbol) that again has a Reuleaux triangle at its center; [76] just as the three circles of the Venn diagram may be interlaced to form the Borromean rings, the three circular arcs of the triquetra may be ...
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole.
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. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S.
Venn diagrams are a more restrictive form of Euler diagrams. A Venn diagram must contain all 2 n logically possible zones of overlap between its n curves, representing all combinations of inclusion/exclusion of its constituent sets. Regions not part of the set are indicated by coloring them black, in contrast to Euler diagrams, where membership ...
This image is a derivative work of the following images: File:Homograph homophone venn diagram.png licensed with Cc-by-sa-3.0, GFDL 2009-06-28T09:00:19Z Blazotron 944x694 (36481 Bytes) {{Information |Description={{en|1=This is an Euler diagram showing the relationships between pronunciation, spelling, and meaning of words, for example, homographs, homonyms, homophones, heteronyms, and ...