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So the first order difference equation would be as I indicated here.
This behavior correlates with the greatly enhanced order difference between coexisting phases in the synthetic system.
We conclude that Euler's method is able to discretize first order difference equations, however, we succeeded in discretizing a second order difference equation.
This first order difference equation contains a complex multiplication factor, which is computationally demanding.
That is obtained via the existence of sixth order difference equations, resulting from the delay concept.
for such that, where and are both formal first order difference operators.
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OK, now let's consider a first-order difference equation, a system described by a first-order difference equation.
OK, so we see that, in fact, a first-order difference equation is a filter.
The results showed that the second-order difference model in some cases produces lower interpolation error than that of the first-order difference model.
The model utilized in their study was a first-order difference autoregressive integrated moving average model.
This class is defined as a system of d non-linear first-order difference equations.
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