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  2. Lattice multiplication - Wikipedia

    en.wikipedia.org/wiki/Lattice_multiplication

    A grid is drawn up, and each cell is split diagonally. The two multiplicands of the product to be calculated are written along the top and right side of the lattice, respectively, with one digit per column across the top for the first multiplicand (the number written left to right), and one digit per row down the right side for the second multiplicand (the number written top-down).

  3. Napier's bones - Wikipedia

    en.wikipedia.org/wiki/Napier's_bones

    The method was based on lattice multiplication, and also called rabdology, a word invented by Napier. Napier published his version in 1617. [1] It was printed in Edinburgh and dedicated to his patron Alexander Seton. Using the multiplication tables embedded in the rods, multiplication can be reduced to addition operations and division to ...

  4. Multiplication algorithm - Wikipedia

    en.wikipedia.org/wiki/Multiplication_algorithm

    When done by hand, this may also be reframed as grid method multiplication or lattice multiplication. In software, this may be called "shift and add" due to bitshifts and addition being the only two operations needed. In 1960, Anatoly Karatsuba discovered Karatsuba multiplication, unleashing a flood of research into fast multiplication ...

  5. Matrakçı Nasuh - Wikipedia

    en.wikipedia.org/wiki/Matrakçı_Nasuh

    Matraki's square lattice multiplication. Nasuh, who made a name for himself in mathematics, was especially interested in arithmetic and Algebra. He was the first to introduce the Lattice multiplication system. Matraki's triangular lattice multiplication. Multiplication begins by multiplying two numbers in the same column from the far right of ...

  6. Trachtenberg system - Wikipedia

    en.wikipedia.org/wiki/Trachtenberg_system

    The method for general multiplication is a method to achieve multiplications with low space complexity, i.e. as few temporary results as possible to be kept in memory. . This is achieved by noting that the final digit is completely determined by multiplying the last digit of the multiplic

  7. Lattice (order) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(order)

    A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).

  8. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    The carry step of the multiplication can be performed at the final stage of the calculation (in bold), returning the final product of 45 × 256 = 11520. This is a variant of Lattice multiplication. The modern method of multiplication based on the Hindu–Arabic numeral system was first described by Brahmagupta. Brahmagupta gave rules for ...

  9. Grid method multiplication - Wikipedia

    en.wikipedia.org/wiki/Grid_method_multiplication

    The grid method (also known as the box method) of multiplication is an introductory approach to multi-digit multiplication calculations that involve numbers larger than ten. Because it is often taught in mathematics education at the level of primary school or elementary school , this algorithm is sometimes called the grammar school method.