i] (p) the total expected cost of a process in N stages, beginning with the i state and applying a given policy P, the following recurrence equation
Example applications of an algorithm to determine whether a three-term recurrence equation
has solutions in the Hahn class-implemented in the computer algebra system Maple-are given.
Keywords Generalized constructive set, summation, recurrence equation
, characteristic equation.
This generalized formalism is called Systems of Affine Recurrence Equations
(SAREs) over polyhedral domains (the domain of a recurrence equation
is the set of index points where it is defined).
By analyzing how the first three cycles originated, the basic equation is developed and then extended to a recurrence equation
for any cycle of selection (t).
Comparing this recurrence relation with the recurrence equation
In Section 2, we present a simple recurrence equation
Equation (4) is an exact recurrence equation
for inbreeding coefficient in a population with temporal variations in census size and selfing proportion.
As a final general remark, let us point out that a power series satisfies a linear differential equation if and only if its coefficients satisfy a linear recurrence equation
with polynomial coefficients.
With the help of table 1, we obtain the recurrence equation
giving the frequency of infection in the following generation:
t] is the frequency of genotype Aa in the hybrid population given by the recurrence equation