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Finally, we mention the following result concerning the difference of order of a product of two functions: Lemma 3.2.
According to these models, to obtain a summer forecast, three preceding forecasts were required, taking into account the difference of order ν = 1.
For the Caputo fractional difference of order (n-1< alphaleq n) starting from (a alpha)=a+n-1) we refer to Section 5 in [31].
According to this model, to obtain a winter forecast, four preceding forecasts were required, taking into account the difference of order ν = 1.
end{aligned} (1) Here (_{q}C_{a}^{alpha}) means the Caputo fractional difference of order α and (f t,y)) fulfills a Lipschitz condition for all t and y.
Here, Δ 7 / 3 ω ( t, x ) represents the discrete Riemann-Liouville fractional difference of order 7 / 3 for the function ω ( t, x ) with respect to its first variable t.
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In a demonstration today showing a game of chess routines written in.NET competed against native Javascript routines and the result was a speed difference of orders of magnitude.
By taking fractional Hahn (q,omega -difference of order α for (2.2),omega -difference
For a positive integer N, let h = η ∞ /N and η i = ih, i = 0, 1,..., N. The problem is discretized with standard centered finite differences of order two, following Usmani [23].
The seasonality components were eliminated by differencing of order 52.
That is, if x t shows the value of a series at time t, then the seasonal differencing of order 52 is x t - x t -52.
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