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  2. List of set identities and relations - Wikipedia

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

    Three sets involved[edit] In the left hand sides of the following identities, L{\displaystyle L}is the L eft most set, M{\displaystyle M}is the M iddle set, and R{\displaystyle R}is the R ight most set. Precedence rules. There is no universal agreement on the order of precedenceof the basic set operators.

  3. Set (abstract data type) - Wikipedia

    en.wikipedia.org/wiki/Set_(abstract_data_type)

    Set (abstract data type) In computer science, a set is an abstract data type that can store unique values, without any particular order. It is a computer implementation of the mathematical concept of a finite set. Unlike most other collection types, rather than retrieving a specific element from a set, one typically tests a value for membership ...

  4. Transfer of learning - Wikipedia

    en.wikipedia.org/wiki/Transfer_of_learning

    Procedures include sequences of events or information. Although the theory is that the similarity of elements facilitates transfer, there is a challenge in identifying which specific elements had an effect on the learner at the time of learning. Factors that can affect transfer include:

  5. DIKW pyramid - Wikipedia

    en.wikipedia.org/wiki/DIKW_Pyramid

    DIKW pyramid: Each step up the pyramid creates value based on the initial data, and can be used to answer high-level questions. The DIKW pyramid, also known variously as the DIKW hierarchy, wisdom hierarchy, knowledge hierarchy, information hierarchy, information pyramid, and the data pyramid, refers loosely to a class of models for representing purported structural and/or functional ...

  6. Equivalence relation - Wikipedia

    en.wikipedia.org/wiki/Equivalence_relation

    A partition of X is a set P of nonempty subsets of X, such that every element of X is an element of a single element of P. Each element of P is a cell of the partition. Moreover, the elements of P are pairwise disjoint and their union is X. Counting partitions. Let X be a finite set with n elements.

  7. Equivalence of categories - Wikipedia

    en.wikipedia.org/wiki/Equivalence_of_categories

    On the other hand, though the above properties guarantee the existence of a categorical equivalence (given a sufficiently strong version of the axiom of choice in the underlying set theory), the missing data is not completely specified, and often there are many choices. It is a good idea to specify the missing constructions explicitly whenever ...

  8. Central limit theorem - Wikipedia

    en.wikipedia.org/wiki/Central_limit_theorem

    The theorem is a key concept in probability theory because it implies that probabilistic and statistical methods that work for normal distributions can be applicable to many problems involving other types of distributions. This theorem has seen many changes during the formal development of probability theory.

  9. Combinatorial proof - Wikipedia

    en.wikipedia.org/wiki/Combinatorial_proof

    A proof by double counting. A combinatorial identity is proven by counting the number of elements of some carefully chosen set in two different ways to obtain the different expressions in the identity. Since those expressions count the same objects, they must be equal to each other and thus the identity is established. A bijective proof.

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