Abstract
The author considers the elements of which every distinct analytical process is composed, as of three kinds; the first, being the subject , that is the symbol on which a certain notified operation is to be performed; the second, the operation itself, represented by its own symbol; and the third, the result ,which may be connected with the former two by the algebraic symbol of equality. The operations are either monomial or polynomial ; simple or compound ; and with respect to their order, are either fixed or free . He uses the term linear operations to denote those of which the action on any subject is made up by the several actions on the parts, connected by the signs plus or minus , of which the subject is composed; and these linear operations likewise may be monomial or polynomial.
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