Divorce is forbidden by the Roman Catholic Church, and only 839 judicial **separations** were obtained from the courts in 1902, more than half of the demands made having been abandoned.

The sum of the n th powers of the quantities, is expressible in terms of functions which are symbolized by **separations** of any partition (n"1n'2n'3...) 1 !

) j1+j2+j3+..ï¿½ (J1+ j2 +j3+...-1)!/T1)?1(J2)72 (J 3)/3..., j11j2!j3!... ?.1 for the expression of Za n in terms of products of symmetric functions symbolized by **separations** of (n 1 1n 2 2n 3 3) Let (n) a, (n) x, (n) X denote the sums of the n th powers of quantities whose elementary symmetric functions are a l, a 2, a31ï¿½ï¿½ï¿½; x 1, x2, x31..; X1, X2, X3,...

'?^ the sum being for all **separations** of 1 A1112 ` / a3 3 ...) which have the specification (m41 m2 2 m3 3 ...).

ï¿½ ï¿½ P1 v2 v3...) ï¿½ For, writing as before, Xm 'Xm 2 Xm '= zzo(SQls:2s73...) xi'x12x13..., 1 2 3" 1231 2 3 = EPxi l x A2 x A3, P is a linear function of **separations** of(/ 1 / 2 A2 / 4 3 3 ...) of specification (m"`1mï¿½2m"`3...), and if X; 1 X 3 2X8 3 ' ..

Function of **separations** of (li'12 2 13 3 ...) of specification (si 1 s 22 s 33) Suppose the **separations** of (11 1 13 2 1 3 3 ...) to involve k different specifications and form the k identities ï¿½1s ï¿½ s Al A 2 A3 ..

" The symmetric function (m ï¿½8 m' 2s m ï¿½3s ...) whose is 2s 3s partition is a specification of a separation of the function symbolized by (li'l2 2 l3 3 ...) is expressible as a linear function of symmetric functions symbolized by **separations** of (li 1 12 2 13 3 ...) and a symmetrical table may be thus formed."

We can verify the relations s 30 -a310 -3a 20 a 10 + a30, S 21 - 02100 01 -a 2C a 01 -0 11 0 10 021 The formula actually gives the expression of q) by means of **separations** of (10P01'), which is one of the partitions of (pq).

Their letters during temporary **separations** are most affectionate.

Thirdly, the induction is amiss which infers the principles of sciences by simple enumeration, and does not, as it ought, employ exclusions and solutions (or **separations**) of nature.