By assuming the truth of the associative law of multiplication, and taking account of the reducing formulae for binary products, - 'el ' 'e2 ' 'e3 we may construct derived units of the third, fourth ...

Gilds were a natural manifestation of the associative spirit which is inherent in mankind.

But signs of associative memory are almost, if not entirely, wanting.

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The effect of these definitions is that the sum and the product of two quaternions are also quaternions; that addition is associative and commutative; and that multiplication is associative and distributive, but not commutative.

The particular organic conditions of perception and the associative laws to which the mind, as a part of nature, is subjected, are facts in themselves indifferent to the philosopher; and therefore the development of psychology into an independent science, which took place during the latter half of the 10th century and may now be said to be complete, represents an entirely natural evolution.

The types of linear associative algebras, not assumed to be commutative, have been enumerated (with some omissions) up to sextuple algebras inclusive by B.

This is manifestly, when all is said, a particular psychological event, a collective fact of the associative consciousness.

In 1857 he published his best known work, the System of Analytical Mechanics, which was, however, surpassed in brilliant originality by his Linear Associative Algebra (lithographed privately in a few copies, 1870; reprinted in the Amer.