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The table and its triads have been constructed from an octonion represented by the bolded set of 7 triads using Cayley–Dickson construction. It is one of 480 possible sets of 7 triads (one of two shown in the octonion article) and is the one based on the Cayley–Dickson construction of quaternions from two possible quaternion constructions ...
In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations ...
The multiplication of the unit trigintaduonions is illustrated in the two tables below. Combined, they form a single 32×32 table with 1024 cells. [11] [5] Below is the trigintaduonion multiplication table for ,.
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It requires memorization of the multiplication table for ... 11 3 1011 11 5 6 101 110 2 12 10 1100 1 24 1 11000 ... [32] As a further example of column based ...
[24] [25] The meaning of this ... [32] Multiplication in group theory ... Multiplication table; Binary multiplier, how computers multiply Booth's multiplication ...
24: 32: 40: 5 5: 14: 23: 32: ... making its multiplication table highly regular for its size, minimizing the amount of effort required to memorize its table. This ...
Quaternion multiplication table ... Hamilton also called vector quaternions right quaternions [24] [25] and real numbers ... [32] In this ...