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  2. Lattice multiplication - Wikipedia

    en.wikipedia.org/wiki/Lattice_multiplication

    Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, [1] sieve multiplication, shabakh, diagonally or Venetian squares, is a method of multiplication that uses a lattice to multiply two multi-digit numbers.

  3. 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 ...

  4. 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 ...

  5. Quantale - Wikipedia

    en.wikipedia.org/wiki/Quantale

    A unital quantale is an idempotent semiring under join and multiplication. A unital quantale in which the identity is the top element of the underlying lattice is said to be strictly two-sided (or simply integral). A commutative quantale is a quantale whose multiplication is commutative.

  6. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Other techniques used for multiplication are the grid method and the lattice method. [70] Computer science is interested in multiplication algorithms with a low computational complexity to be able to efficiently multiply very large integers, such as the Karatsuba algorithm, the Schönhage–Strassen algorithm, and the Toom–Cook algorithm. [71]

  7. 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 ...

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  9. 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 ...

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