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2. File:Venn diagram.pdf - Wikipedia

   en.wikipedia.org/wiki/File:Venn_diagram.pdf

   English: Venn diagram picturing relationships between elements within self-determination theory of student motivation. As per this is the uploader's own work as the diagram has been developed from the referenced source to to illustrate the three important elements discussed in the article. This image should be corrected to read "based on ...

3. Venn diagram - Wikipedia

   en.wikipedia.org/wiki/Venn_diagram

   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.

4. Complementary event - Wikipedia

   en.wikipedia.org/wiki/Complementary_event

   The complement of an event A is usually denoted as A′, A c, A or A. Given an event, the event and its complementary event define a Bernoulli trial : did the event occur or not? For example, if a typical coin is tossed and one assumes that it cannot land on its edge, then it can either land showing "heads" or "tails."

5. Inclusion–exclusion principle - Wikipedia

   en.wikipedia.org/wiki/Inclusion–exclusion...

   Venn diagram showing the union of sets A and B as everything not in white. In combinatorics, the inclusion–exclusion principle is a counting technique which generalizes the familiar method of obtaining the number of elements in the union of two finite sets; symbolically expressed as

6. List of set identities and relations - Wikipedia

   en.wikipedia.org/wiki/List_of_set_identities_and...

   Universe set and complement notation The notation L ∁ = def X ∖ L . {\displaystyle L^{\complement }~{\stackrel {\scriptscriptstyle {\text{def}}}{=}}~X\setminus L.} may be used if L {\displaystyle L} is a subset of some set X {\displaystyle X} that is understood (say from context, or because it is clearly stated what the superset X ...

7. Complement (set theory) - Wikipedia

   en.wikipedia.org/wiki/Complement_(set_theory)

   If A is a set, then the absolute complement of A (or simply the complement of A) is the set of elements not in A (within a larger set that is implicitly defined). In other words, let U be a set that contains all the elements under study; if there is no need to mention U, either because it has been previously specified, or it is obvious and unique, then the absolute complement of A is the ...

8. Symmetric difference - Wikipedia

   en.wikipedia.org/wiki/Symmetric_difference

   Venn diagram of = . The symmetric difference is equivalent to the union of both relative complements, that is: [1] = (), The symmetric difference can also be expressed using the XOR operation ⊕ on the predicates describing the two sets in set-builder notation:

9. Intersection (set theory) - Wikipedia

   en.wikipedia.org/wiki/Intersection_(set_theory)

   That is, for any sets ,, and , one has = () = () Inside a universe , one may define the complement of to be the set of all elements of not in . Furthermore, the intersection of A {\displaystyle A} and B {\displaystyle B} may be written as the complement of the union of their complements, derived easily from De Morgan's laws : A ∩ B = ( A c ...