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Cayley also put a third question, a different and deeper question about irreducible invariants of a binary quantic .
The math term ‘ quantic ’ means ‘a rational integral homogenous function of two or more variables,’ which is a fancy way of saying ‘two great tastes that taste great together.’
However his most important contribution was the book ‘An Introduction to the Algebra of Quantics ’ which was first published in 1895.
In more modern language the spaces of quantics are identified with the symmetric tensors of a given degree constructed from the tensor powers of a vector space V of dimension m.
Maschke's second area of work was on differential geometry in particular the theory of quadratic differential quantics .
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