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  2. Edit distance - Wikipedia

    en.wikipedia.org/wiki/Edit_distance

    Damerau–Levenshtein distance counts as a single edit a common mistake: transposition of two adjacent characters, formally characterized by an operation that changes u x y v into u y x v. [3] [4] For the task of correcting OCR output, merge and split operations have been used which replace a single character into a pair of them or vice versa. [4]

  3. Rational data type - Wikipedia

    en.wikipedia.org/wiki/Rational_data_type

    A variable or value of that type is usually represented as a fraction m/n where m and n are two integer numbers, either with a fixed or arbitrary precision.Depending on the language, the denominator n may be constrained to be non-zero, and the two numbers may be kept in reduced form (without any common divisors except 1).

  4. Gomory–Hu tree - Wikipedia

    en.wikipedia.org/wiki/Gomory–Hu_tree

    Using the submodular property of the capacity function c, one has + () + (). Then it can be shown that the minimum s-t cut in G' is also a minimum s-t cut in G for any s, t ∈ X.

  5. Greedy algorithm for Egyptian fractions - Wikipedia

    en.wikipedia.org/wiki/Greedy_algorithm_for...

    2 + 8x 2 − 1 = 0. Since P 2 (x) < 0 for x = ⁠ 1 / 9 ⁠, and P 2 (x) > 0 for all x > ⁠ 1 / 8 ⁠, the next term in the greedy expansion is ⁠ 1 / 9 ⁠. If x 3 is the remaining fraction after this step of the greedy expansion, it satisfies the equation P 2 (x 3 + ⁠ 1 / 9 ⁠) = 0, which can again be expanded as a polynomial equation ...

  6. BCH code - Wikipedia

    en.wikipedia.org/wiki/BCH_code

    For any positive integer i, let m i (x) be the minimal polynomial with coefficients in GF(q) of α i. The generator polynomial of the BCH code is defined as the least common multiple g(x) = lcm(m 1 (x),…,m d − 1 (x)). It can be seen that g(x) is a polynomial with coefficients in GF(q) and divides x n − 1.

  7. 2-satisfiability - Wikipedia

    en.wikipedia.org/wiki/2-satisfiability

    Suppose that a 2-satisfiability instance contains two clauses that both use the same variable x, but that x is negated in one clause and not in the other. Then the two clauses may be combined to produce a third clause, having the two other literals in the two clauses; this third clause must also be satisfied whenever the first two clauses are ...

  8. Simplex algorithm - Wikipedia

    en.wikipedia.org/wiki/Simplex_algorithm

    Columns 2, 3, and 4 can be selected as pivot columns, for this example column 4 is selected. The values of z resulting from the choice of rows 2 and 3 as pivot rows are 10/1 = 10 and 15/3 = 5 respectively. Of these the minimum is 5, so row 3 must be the pivot row. Performing the pivot produces

  9. Free variables and bound variables - Wikipedia

    en.wikipedia.org/wiki/Free_variables_and_bound...

    In the lambda calculus, x is a bound variable in the term M = λx. T and a free variable in the term T. We say x is bound in M and free in T. If T contains a subterm λx. U then x is rebound in this term. This nested, inner binding of x is said to "shadow" the outer binding. Occurrences of x in U are free occurrences of the new x. [3]