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At low values of N Lp, the plasmon peak is well defined with little to no loss in the infrared range.
First, we shall prove that T ( S k ) ⊆ S k, i.e., the operator T is well defined, with assumption k > b.
As Dudoit and van der Laan [8] have shown, the first question is well defined with larger samples in V-fold cross-validation.
Notice that the intensity scale is different in the two panels and that in (b) the Mn magnetic signal is well defined, with the EMCD signs reflecting the magnetic moment direction of the Mn atomic columns.
Moreover, the unique fixed point (y^) of the Poincaré map ({mathcal{P}}) is well defined with (y^in[Y_{max}^{h}, tau+frac{b}{p})) in this case, as shown in Table 3. Thus, all results in Theorem 11.1 are true. □. In Theorem 6.1 of [1], only the special case (i.e. 1-theta V_{_{L}=x_{2}^)) for model (2.3) has been proven.
Moreover, we can prove that if for model (2.2) there exists an order-2 limit cycle, then we must have (A_{h}< ptau), and consequently the (y^) defined by (5.2) is well defined with (y^in [Y_{max}^{h}, tau+frac{b}{p} ]).
Similar(47)
Decentralization works, she said, because people's roles and expectations are well defined, with the pastor having authority over the parish.
The grain boundaries were well defined with narrow size distribution.
It can be concluded that the experimental data are well defined with pseudo-second-order kinetic model.
Focusing peaks are well defined with a positive magnetic field, and the signal is negligible with a negative magnetic field.
The anatomy of the medial patellofemoral ligament (MPFL) has been well defined, with parts of its uppermost fibers having a soft-tissue insertion onto the vastus intermedius.
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