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  2. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    Square number. Square number 16 as sum of gnomons. In mathematics, a square number or perfect square is an integer that is the square of an integer; [ 1] in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 32 and can be written as 3 × 3 .

  3. Perfect square - Wikipedia

    en.wikipedia.org/wiki/Perfect_square

    A perfect square is an element of algebraic structure that is equal to the square of another element. Square number, a perfect square integer. Entertainment

  4. Square (algebra) - Wikipedia

    en.wikipedia.org/wiki/Square_(algebra)

    Square (algebra) 5⋅5, or 52 (5 squared), can be shown graphically using a square. Each block represents one unit, 1⋅1, and the entire square represents 5⋅5, or the area of the square. In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation.

  5. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Animation depicting the process of completing the square. ( Details, animated GIF version) In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form to the form for some values of h and k . In other words, completing the square places a perfect square trinomial inside of a quadratic expression.

  6. Square of opposition - Wikipedia

    en.wikipedia.org/wiki/Square_of_opposition

    In term logic (a branch of philosophical logic ), the square of opposition is a diagram representing the relations between the four basic categorical propositions . The origin of the square can be traced back to Aristotle 's tractate On Interpretation and its distinction between two oppositions: contradiction and contrariety .

  7. Most-perfect magic square - Wikipedia

    en.wikipedia.org/wiki/Most-perfect_magic_square

    the indian numerals. A most-perfect magic square of order n is a magic square containing the numbers 1 to n2 with two additional properties: Each 2 × 2 subsquare sums to 2 s, where s = n2 + 1. All pairs of integers distant n /2 along a (major) diagonal sum to s.

  8. Magic hypercube - Wikipedia

    en.wikipedia.org/wiki/Magic_hypercube

    Magic hypercube. In mathematics, a magic hypercube is the k -dimensional generalization of magic squares and magic cubes, that is, an n × n × n × ... × n array of integers such that the sums of the numbers on each pillar (along any axis) as well as on the main space diagonals are all the same. The common sum is called the magic constant of ...

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