# Definitions of symbols

*Australian Life Tables 2010-12* sets out the following functions:

= the number of persons surviving to exact age *x* out of 100,000 births

= the number of deaths in the year of age *x* to (*x + 1*) among the persons who are alive at the beginning of that year

= the probability of a person aged exactly *x* surviving the year to age (*x + 1*)

= the probability of a person aged exactly *x* dying before reaching age (*x + 1*)

= the force (or instantaneous rate) of mortality at exact age *x*

= the complete expectation of life (that is, the average number of years lived after age *x*) of persons aged exactly *x *

= the total number of years of life experienced between age *x* and

(*x + 1*) by persons aged exactly *x*

= the total number of years of life experienced after age *x* by persons aged exactly *x*

NOTE: Figures in the Tables are rounded and hence the usual identities between these functions may not be satisfied exactly.

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