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单词 quadruple algebra
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quadruple algebra
quadruple algebra n. Mathematics (now historical) algebra in which four independent units are used (which may only be added together formally).
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1870 B. Peirce Linear Associative Algebra 7 An algebra, which has only one letter in its alphabet is a single algebra; one which has two letters is a double algebra, one of three letters, a triple algebra; one of four letters, a quadruple algebra and so on.
1898 J. Hammond Let. 22 Dec. Hamilton's Quaternions is a quadruple algebra, the 4 independent units being his i, j, k, and the unit of quantity.
1967 Isis 58 95 A discussion of 19th-century development of 2 types of multiple algebra, quaternions (quadruple algebra), and vector analysis (triple algebra).
extracted from quadruplen.adj.adv.
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