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In the following, we define an undirected graph Γ ( P M ) = ( V, E ) associated with P M given in (1).
In this section we will find the Mountain Pass type critical points of the energy functional E associated with problem (P).
Then we define an undirected graph (actually, a type of zero-divisor graph) Γ ( S M ) = ( V, E ) associated to S M as follows.
However, the DOS(E) associated with them may be too sharp to be captured, or partially captured by the E grids being used.
This occurs because the polarization E (associated with upwelling) maps along B, as it does for an EPB (e.g., Tsunoda et al. 1982).
The choice (J_{m} z)=|z|^{m-1}z) is guided by the fundamental idea that any eigenvalue of a linear operator (Linmathcal{L}(E)) associated to an eigenvector z is also an eigenvalue of (Lin mathcal{L} E)) associated to an eigenvector (y=|z|^{-1}z).
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As shown in Figure 2c, signals d, d′ and e, e′ associated with the Ala-Ala dipeptide are observed at 4.4 and 0.6 ppm, respectively, while DOHA-associated methylenic signals b and c and aromatic hydrogens (a) are clearly present.
Moreover, the high intrathechal levels of sHLA-E associated with a better prognosis, suggesting a role of this molecule in the resolution of inflammation.
MCs (MCs) are recognized as important effectors in Immunoglobulin-E (Ig-E) associated immune responses, and potent effector cells of the innate immune system [ 23– 25].
MCs are well-established effector cells in Immunoglobulin-E (Ig-E) associated immune responses and potent effector cells of the innate immune system; however, their clinical significance in prostate cancer is still debated.
Condensin is a proteinaceous ring composed of two Smc ATPases, Cut3/Smc4/CAP-C and Cut14/Smc2/CAP-E, associated with three non-SMC auxiliary subunits (Hirano 2012; Piazza et al. 2013).
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