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first-order difference

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first-order difference [¦fərst ¦ȯrd·ər ′dif·rəns]
(mathematics)
A member of a sequence that is formed from a given sequence by subtracting each term of the original sequence from the next succeeding term.


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The equilibrium dynamics in this model are characterized by a nonlinear first-order difference equation for income inequality, which, as shown through numerical simulations, gives rise to multiple steady states, including one characterized by a high level of income inequality (inequality trap).
Consider the nonlinear discrete-time system described by a set of first-order difference equations of the form x(t + 1) = f(x(t), u(t)), y(t) = g(x(t), u(t)), (1) where the entries of f and g are meromorphic functions, which we think of as elements of the quotient field of the ring of analytic functions, and x(t) [member of] [R.
 
 
 
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