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The third time derivative of the squared magnetic field intensity is regularized at the core-mantle boundary.
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The expansion has the usual terms away from the singularity, appropriately regularized at x = 0, plus singular contributions determined by the ζ-function of (A 0) + 14 12.
Using the fact that the Fourier transform of (lambda ^{(j-1)/2} chi _{ 0,infty )}(lambda )) is the distribution ((-it)^{- j+1)/2}) regularized at (t=0), one sees that.
Then, if q⩾2∨(m−1), the associated evolution is Lq−L∞ regularizing at any time t>0 and the bound ∥∥u(t)∥∥∞⩽C u0)/tβ holds for t<1 for suitable explicit C u0),γ.
Recommendations: Organizational action to address strategic shortcomings in evaluation (Headquarters and Regional Office) Systematize and regularize evaluations at the country programme level that examine UNICEF humanitarian action from a strategic and policy standpoint, particularly vis-à-vis the organization's role in the broader humanitarian response.
We can regularize the infinity at the particle's mass and obtain normal value for the self-force.
Figure 1 The Tikhonov regularized solution and the modified Tikhonov regularized solution at fixed point (pmb{x=0.4}) with (pmb{varepsilon =0.01}).
The SV was regularized starting at degree and order 14, while the SA coefficients were damped for degrees 9 and higher, as described in Maus et al. (2006).
The mass-action formulation, while expanding the dimension of the prostate model, regularized the mathematical structure.
In this way, the energy dissipated at each point in the material is regularized for the different damage mechanisms.
As these were progressively regularized and embanked, the surface of the county became available for agriculture.
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CEO of Professional Science Editing for Scientists @ prosciediting.com