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where the nonlinear term is given by.
The associated energy term is given by (2.3).
where the second term is given by (33).
For the model parameterization introduced above, this term is given by (49) (50) (51).
The drift term is given by the total variation flow, respectively, by a singular p-Laplace-type operator.
The laser source term is given by Σ = Q x, y 1 − R α e − αz f t, (2).
Similar(32)
For any two derived sections (A,B in {text {DSec}}(I,mathcal {C})), we have a natural spectral sequence converging to ({text {Hom}}^cdot (A,B)) whose (E_1 -term is givE_1 -termis{aligiven E_1^{n,m} = prod _{i in overline{I}_n}{text {Hom}}^m(overline{L}_i(A),overline{M}_i(by).
The scaled ratio between these two terms is given by the magnetic Reynolds number Rm=frac{UD}{lambda } (10 where U is a typical velocity scale.
The nonlinear Schrödinger equation with its perturbation terms is given by [31] iu=iepsilon}{2}u_{xx}+F(|u|^2)u=iepsilon R[u,u^*], (45 when R[u, u*] = 0, Eq.
The logarithm version of this approach was suggested in which the similarity between two terms is given by the negative logarithm of the ratio between the length of the shortest path and twice the maximum depth of the hierarchy under consideration [ 6].
The other terms are given by (A.5).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com