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The oldest known multiplication tables were used by the Babylonians about 4000 years ago. [2] However, they used a base of 60. [2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period. [2] "Table of Pythagoras" on Napier's bones [3]
The Erdős–Tenenbaum–Ford constant is a mathematical constant that appears in number theory. [1] Named after mathematicians Paul Erdős, Gérald Tenenbaum, and Kevin Ford, it is defined as
Soon after their development by Genaille, the rulers were adapted to a set of rods that can perform division. The division rods are aligned similarly to the multiplication rods, with the index rod on the left denoting the divisor, and the following rods spelling out the digits of the dividend. After these, a special "remainder" rod is placed on ...
This was accomplished by creating a mechanical representation of the multiplication table which could be read and used by the machine. The manufacturing cost of Bollée's machine was too high and the production was discontinued after a few units. The Millionaire was built with the same target of direct mechanical multiplication in mind. [14]
Multiplication table of quaternion group as a subgroup of SL(2,C). The entries are represented by sectors corresponding to their arguments: 1 (green), i (blue), −1 (red), − i (yellow). The two-dimensional irreducible complex representation described above gives the quaternion group Q 8 as a subgroup of the general linear group GL ( 2 ...
The dual quaternion of a displacement D = ([A], d) can be constructed from the quaternion S = cos(φ/2) + sin(φ/2)S that defines the rotation [A] and the vector quaternion constructed from the translation vector d, given by D = d 1 i + d 2 j + d 3 k. Using this notation, the dual quaternion for the displacement D = ([A], d) is given by
The claim: California counting ballots two weeks after Election Day is evidence it was ‘rigged’ A Nov. 19 Instagram post ( direct link , archive link ) claims one state’s lengthy vote ...
As with the 2 × 2 complex representation above, complex numbers can again be produced by constraining the coefficients suitably; for example, as block diagonal matrices with two 2 × 2 blocks by setting c = d = 0. Each 4×4 matrix representation of quaternions corresponds to a multiplication table of unit quaternions.
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