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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.
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.
The most apparent impact of the nation-state, as compared to its non-national predecessors, is creating a uniform national culture through state policy. The model of the nation-state implies that its population constitutes a nation, united by a common descent, a common language and many forms of shared culture. When implied unity was absent ...
A multinational state or a multinational union is a sovereign entity that comprises two or more nations or states.This contrasts with a nation state, where a single nation accounts for the bulk of the population.
In set theory the Venn diagrams tell, that there is an element in one of the red intersections. (The existential quantifications for the red intersections are combined by or. They can be combined by the exclusive or as well.) Relations like subset and implication, arranged in the same kind of matrix as above. In set theory the Venn diagrams tell,
Each state is itself a sovereign entity, and as such, reserves the right to organize in any way (within the above stated parameter) deemed appropriate by its people. As a result, while the governments of the various states share many similar features, they often vary greatly with regard to form and substance. No two state governments are identical.
Venn diagram of information theoretic measures for three variables , , and , represented by the lower left, lower right, and upper circles, respectively.The ...
Notice the analogy to the union, difference, and intersection of two sets: in this respect, all the formulas given above are apparent from the Venn diagram reported at the beginning of the article. In terms of a communication channel in which the output Y {\displaystyle Y} is a noisy version of the input X {\displaystyle X} , these relations ...