Closed-loop steady-state multiplicity, which is employed to compare control actions associated with each control structure, can provide a solid basis for the synthesis of control loops.
Suppose that is a zero of with multiplicity, then is a zero of with multiplicity, and a zero of with multiplicity, which is a contradiction.
As an application, we give a different proof for a formula relating the fibre dimension and the Samuel multiplicity which is first proved in Fang (2005) [11].
On the other hand, vitamin E drastically decreased the incidence of lung tumor and tumor multiplicity which were 17.0% and 0.32 ± 0.16, respectively (p < 0.05); and demonstrated prominent antioxidant effects, reduction of DNA damage and decreased cell apoptosis (p < 0.05).
The amastigotes isolated from MEF cells were added to C57BL/6 BMDMØ cultures in 24-well plates at 20 1 multiplicity, which were then incubated for 72 h at 34°C, 5% CO2 in complete medium containing 5% L929 conditioned medium and 100 ng ml−1 of lipopolysaccharide (LPS, Sigma-Aldrich).
Hence, we can choose a sequence ({xi_{n}=z_{0}+nc, n in mathbb{N}^{0}}) of poles of (g z)), the multiplicity of which is (pi_{n}geqpi), so we obtain (lambda(frac{1}{g} geq1), and therefore (rho(g geq lambda(frac{1}{g} geq1). Case 1.2.
Now we will show that if (N lambda )ne 0), then the total algebraic multiplicity exceeds nl, which is a contradiction.
In Everett, there is an ontological multiplicity of realities, which is absent in the relational point of view, where physisical quantities are uniquely determined, once two systems are given.
As Fox stresses, complex traits, including health, vigor, intelligence and imagination, '…are embedded and developed through robust interplay of heredity and environment and their biological input is a complex function of multiplicity relating genes, which is highly unlikely to be directly manipulable through biotechnology intervention at any point in the near future.
Despite its biology plausibility, our present study observed a significant relationship between HIV seropositivity and multiplicity of HPV types, which is consistent with the report by Chin-Hong and colleagues [12].
(1.4) By using variational methods the author proved the existence and multiplicity results, which are closely linked to the parameter λ.
