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Published online by Cambridge University Press: 20 January 2009
Of late years there has arisen a clique of vector analysts who refuse to admit the quaternion to the glorious company of vectors. There are others again who take exception to some of Hamilton's most fundamental principles, and make corrections as they deem them, which logically revolutionise the whole basis of the calculus.
page 64 note* The part omitted here is the part already given about the sines and cosines.
page 66 note * This is very clearly brought out in O'Brien's system of vector analysis, briefly described further on.
page 72 note * These are O'Brien's very symbols, but used with the meanings interchanged.
page 77 note * O'Brien seems to be much more consistent here, for his product α.β is the area, and he uses Dα.β as the symbolism for the quantity Vαβ. Where Heaviside and Macfarlane cease to be O'Brienites, they become inconsistent.
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