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  2. Methods of computing square roots - Wikipedia

    en.wikipedia.org/wiki/Methods_of_computing...

    A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater ...

  3. Trachtenberg system - Wikipedia

    en.wikipedia.org/wiki/Trachtenberg_system

    Trachtenberg system. The Trachtenberg system is a system of rapid mental calculation. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. It was developed by the Russian engineer Jakow Trachtenberg in order to keep his mind occupied while being in a Nazi concentration ...

  4. Square root - Wikipedia

    en.wikipedia.org/wiki/Square_root

    Square root. Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 52 (5 squared). In mathematics, a square root of a number x is a number y such that ; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1] For example, 4 and −4 are square roots of 16 ...

  5. Integer square root - Wikipedia

    en.wikipedia.org/wiki/Integer_square_root

    See Methods of computing square roots § Binary numeral system (base 2) for an example. In programming languages. Some programming languages dedicate an explicit operation to the integer square root calculation in addition to the general case or can be extended by libraries to this end. (isqrt x): Common Lisp. math.isqrt(x): Python.

  6. Abacus - Wikipedia

    en.wikipedia.org/wiki/Abacus

    Abacus. An abacus ( pl.: abaci or abacuses ), also called a counting frame, is a hand -operated calculating tool which was used from ancient times in the ancient Near East, Europe, China, and Russia, until the adoption of the Arabic numeral system. [1] An abacus consists of a two-dimensional array of slidable beads (or similar objects).

  7. Quaternion - Wikipedia

    en.wikipedia.org/wiki/Quaternion

    The norm of a quaternion (the square root of the product with its conjugate, as with complex numbers) is the square root of the determinant of the corresponding matrix. The scalar part of a quaternion is one half of the matrix trace. The conjugate of a quaternion corresponds to the conjugate transpose of the matrix.

  8. Chinese mathematics - Wikipedia

    en.wikipedia.org/wiki/Chinese_mathematics

    From this method, Liu Hui asserted that the value of pi is about 3.14. Liu Hui also presented a geometric proof of square and cubed root extraction similar to the Greek method, which involved cutting a square or cube in any line or section and determining the square root through symmetry of the remaining rectangles.

  9. Babylonian mathematics - Wikipedia

    en.wikipedia.org/wiki/Babylonian_mathematics

    Babylonian mathematics is a range of numeric and more advanced mathematical practices in the ancient Near East, written in cuneiform script. Study has historically focused on the Old Babylonian period in the early second millennium BC due to the wealth of data available.

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