# invariants

Noun

- plural form of
*invariant*

- Also such ideas as those of
**invariants**, groups and of form, have modified the entire science. - 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. - For example, the theory of
**invariants**may be regarded as depending upon the consideration of the symmetric functions of the differences of the roots of the equation aox n - (i) a i x n - 1 + (z) a 2 x n 2 - ... - The important result is that the theory of
**invariants**is from a certain point of view coincident with the theory of non-unitary symmetric functions. - An important notion in the theory of linear operators in general is that of MacMahon's multilinear operator (" Theory of a Multilinear partial Differential Operator with Applications to the Theories of
**Invariants**and Reciprocants," Proc. Lond.

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