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The partition method of treating symmetrical algebra is one which has been singularly successful in indicating new paths of advance in the theory of invariants; the important theorem of expressibility is, directly we exclude unity from the partitions, a theorem concerning the expressibility of covariants, and involves the theory of the reducible forms and of the syzygies.

00+o (m l m2 m3) +..., Theorem of Expressibility.

00Hence the theorem of expressibility enunciated above.

00It is but a particular case of a general theory of expressibility.

00The partition method of treating symmetrical algebra is one which has been singularly successful in indicating new paths of advance in the theory of invariants; the important theorem of expressibility is, directly we exclude unity from the partitions, a theorem concerning the expressibility of covariants, and involves the theory of the reducible forms and of the syzygies.

00+o (m l m2 m3) +..., Theorem of Expressibility.

00Hence the theorem of expressibility enunciated above.

00It is but a particular case of a general theory of expressibility.

00

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