# Reciprocants sentence example

reciprocants

- 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.
- In 1883 he was chosen to succeed Henry Smith in the Savilian chair of geometry at Oxford, and there he produced his theory of reciprocants, largely by the aid of his "method of infinitesimal variation."
- Also the operator of the Theory of Pure Reciprocants (see Sylvester Lectures on the New Theory of Reciprocants, Oxford, 1888) is (4, 1;2,1) =2 4a 0 ea 1 +10acaiaa 2 +6(2aoaz+a 2 1) 0 9a3+...
- The scope of his researches was described by Arthur Cayley, his friend and fellow worker, in the following words: "They relate chiefly to finite analysis, and cover by their subjects a large part of it - algebra, determinants, elimination, the theory of equations, partitions, tactic, the theory of forms, matrices, reciprocants, the Hamiltonian numbers, &c.; analytical and pure geometry occupy a less prominent position; and mechanics, optics and astronomy are not absent."