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  2. Combination - Wikipedia

    en.wikipedia.org/wiki/Combination

    Combination. In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple ...

  3. Heap's algorithm - Wikipedia

    en.wikipedia.org/wiki/Heap's_algorithm

    Wheel diagram of all permutations of length generated by Heap's algorithm, where each permutation is color-coded (1=blue, 2=green, 3=yellow, 4=red). Heap's algorithm generates all possible permutations of n objects. It was first proposed by B. R. Heap in 1963. [ 1 ] The algorithm minimizes movement: it generates each permutation from the ...

  4. Permutation - Wikipedia

    en.wikipedia.org/wiki/Permutation

    Index k = 2, because 3 is placed at an index that satisfies condition of being the largest index that is still less than a[k + 1] which is 4. Index l = 3, because 4 is the only value in the sequence that is greater than 3 in order to satisfy the condition a[k] < a[l]. The values of a[2] and a[3] are swapped to form the new sequence [1, 2, 4, 3].

  5. Python (programming language) - Wikipedia

    en.wikipedia.org/wiki/Python_(programming_language)

    Python is a multi-paradigm programming language. Object-oriented programming and structured programming are fully supported, and many of their features support functional programming and aspect-oriented programming (including metaprogramming [ 73 ] and metaobjects). [ 74 ] Many other paradigms are supported via extensions, including design by ...

  6. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A triangle whose side lengths are a Pythagorean triple is a right triangle and ...

  7. Syntax (programming languages) - Wikipedia

    en.wikipedia.org/wiki/Syntax_(programming_languages)

    Syntax definition. [edit] Parse tree of Python code with inset tokenization. The syntax of textual programming languages is usually defined using a combination of regular expressions (for lexical structure) and Backus–Naur form (a metalanguage for grammatical structure) to inductively specify syntactic categories (nonterminal) and terminal ...

  8. List of algorithms - Wikipedia

    en.wikipedia.org/wiki/List_of_algorithms

    3.3.6 Sequence combinations. ... The following is a list of well-known algorithms along with one-line descriptions for each. ... Used in Python 2.3 and up, and Java ...

  9. Joint probability distribution - Wikipedia

    en.wikipedia.org/wiki/Joint_probability_distribution

    t. e. Given two random variablesthat are defined on the same probability space,[1]the joint probability distributionis the corresponding probability distributionon all possible pairs of outputs. The joint distribution can just as well be considered for any given number of random variables.