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Since for a plane autonomous system, there is no methodical theory which gives us first integrals, we will therefore apply the division theorem to find one first integral (6), which will reduce (4) to a first-order integral for an ordinary differential equation.
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System sourcing is analysed with regard to the system definition applied, the division of labour in development and manufacturing tasks, and the capabilities of the customer and the potential suppliers.
When static multicast management or GMRP is applied, the division result of multicast group is the same as that of VLAN, as shown in Fig. 3.
Applying the division theorem, one sees that there exists a polynomial H ( X, Y ) = h ( X ) + g ( X ) Y in the complex domain C [ X, Y ] such that d P d τ = ∂ P ∂ X ∂ X ∂ τ + ∂ P ∂ Y ∂ Y ∂ τ = ( h ( X ) + g ( X ) Y ) ( ∑ i = 0 m a i ( X ) Y i ).
One can take the Taylor expansion of the right-hand side, or apply the formal long division process for polynomials.
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A careful examination of Nissl stained sections of mouse hypothalami corroborated that the Swanson's 1998 nomenclature could apply to the division of mouse hypothalamus, particularly at caudal hypothalamic levels for the identification of the posterior periventricular nucleus (PVp) [41].
Peter Abelard (1079 1142/4), in discussing the same example, applied the systematic division between modal statements de sensu or in the compound sense and modal statements de re or in the divided sense.
We then calculated receiver functions using teleseismic waveforms along the linear array, applying the spectral division (Ammon 1991) method with a water level fraction of 0.001 and Gaussian filter width of 3.0 (approximately 1.5-Hz low-pass filters).
In the second approach for the data matrices construction we applied the same division into stripes also to direction X, to check if, by taking into account local variations in both directions, the parameter identification results more accurate, in spite of the variance inflation.
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