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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Since x 2 represents the area of a square with side of length x, and bx represents the area of a rectangle with sides b and x, the process of completing the square can be viewed as visual manipulation of rectangles. Simple attempts to combine the x 2 and the bx rectangles into a larger square

  3. List of graphical methods - Wikipedia

    en.wikipedia.org/wiki/List_of_graphical_methods

    Autocorrelation plot; Bar chart; Biplot; Box plot; Bullet graph; Chernoff faces; Control chart; Fan chart; Forest plot; Funnel plot; Galbraith plot; Histogram; Mosaic ...

  4. Two-graph - Wikipedia

    en.wikipedia.org/wiki/Two-graph

    Given a simple graph G = (V,E), the set of triples of the vertex set V whose induced subgraph has an odd number of edges forms a two-graph on the set V. Every two-graph can be represented in this way. [1] This example is referred to as the standard construction of a two-graph from a simple graph. As a more complex example, let T be a tree with ...

  5. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...

  6. Horner's method - Wikipedia

    en.wikipedia.org/wiki/Horner's_method

    In binary (base-2) math, multiplication by a power of 2 is merely a register shift operation. Thus, multiplying by 2 is calculated in base-2 by an arithmetic shift. The factor (2 −1) is a right arithmetic shift, a (0) results in no operation (since 2 0 = 1 is the multiplicative identity element), and a (2 1) results in a left arithmetic shift ...

  7. N2 chart - Wikipedia

    en.wikipedia.org/wiki/N2_Chart

    N 2 chart example. [1] The N 2 chart or N 2 diagram (pronounced "en-two" or "en-squared") is a chart or diagram in the shape of a matrix, representing functional or physical interfaces between system elements. It is used to systematically identify, define, tabulate, design, and analyze functional and physical interfaces.

  8. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2(y + 1) – 1, a true statement. It is also possible to take the variable y to be the unknown, and then the equation is solved by y = x – 1.

  9. Bisection method - Wikipedia

    en.wikipedia.org/wiki/Bisection_method

    It is a very simple and robust method, but it is also relatively slow. Because of this, it is often used to obtain a rough approximation to a solution which is then used as a starting point for more rapidly converging methods. [1] The method is also called the interval halving method, [2] the binary search method, [3] or the dichotomy method. [4]