224 Mr. Gompertz's analysis applicable to the 
' 
being dead of three persons. Again n 
m 
a, b, c, See. „ 
» — q m 
a,b,c, &c. 
or, abbreviated, « 
a, b,c, &tc.— a, t, c,&c. WO uld express the va- 
lue for the term of the income on the contingency of there 
not being more living than v — 1, and not less living than 
v — o ; and taking o = 1 , we have » a, b, c, &c— a, b, c, &c. _ the va _ 
lue on the contingency of there being precisely v — 1 of them 
living; and if there are ^ lives in all, the same symbol will 
also express the value on the contingency of there being pre- 
cisely ^ — v -{- i dead. 
Art. 7. If the income for the term depended on v/or more 
nominated persons of the present age a, b, c, &c. being living, 
on v‘ or more of the present ages a', b', c', &c. on v" or more 
of the persons of the present ages a ", b", c", &c. being living, 
we should express its present value, thus 
P 
n 
m 
a, b, c, &c. : a V , c 1 , See. a", b" , c v , & c. 
— 7 7 , Sec. 
If the income for the term depended on some contingency 
designated by C, provided there were v or more living of 
the persons of the present ages a , b, c, &c. we should de- 
ya, b, c, & c. t A nc j therefore, if there were 
C, v 
signate it thus p 
m 
}a persons of the ages a , 6, c , &c. in conformity with our plan ? 
— a ’ b ’ c ’ &c ‘ , the present value of the 
we should denote by « 
m 
income on the contingency C, proved ^ — v -f 1, or more of 
the persons of the present ages, a , b , c, &c. were dead. 
