It follows that both the integrand of \ scriptstyle { R _ { F } } and its integral can be expressed as functions of the elementary symmetric polynomials in \ scriptstyle { \ Delta x }, \ scriptstyle { \ Delta y } and \ scriptstyle { \ Delta z } which are
32.
In fact, they are the elementary symmetric polynomials any symmetric polynomial in and can be expressed in terms of and The Galois theory approach to analyzing and solving polynomials is : given the coefficients of a polynomial, which are symmetric functions in the roots, can one " break the symmetry " and recover the roots?
33.
Where is the th-degree elementary symmetric polynomial in the variables,, and the number of terms in the denominator and the number of factors in the product in the numerator depend on the number of terms in the sum on the left . The case of only finitely many terms can be proved by mathematical induction on the number of such terms.
