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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).
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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 ...
The definition of bounded lattice can be found later down the article: a bounded lattice is a lattice with a least and greatest element. The words "top" and "bottom" are more or less meaningless. Maybe they make sense when you have the Hasse diagram of the lattice in front of you, vertically aligned. - lethe talk 19:12, 16 December 2005 (UTC)
Download as PDF; Printable version; In other projects Wikimedia Commons; ... Lattice multiplication; Lunar arithmetic; M. Matrix multiplication; Frobenius inner product;
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In a lattice, infima are written as a ∧ b or as a product ab, suprema as a ∨ b or as a sum a + b. In a pure lattice theoretical context the first notation is used, usually without any precedence rules. In a pure engineering or "ideals in a ring" context the second notation is used and multiplication has higher precedence than addition.
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