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There is a parallel formula for (f in Sigma _{s}' (mathbf {R}^{d})), (phi in Sigma _{s}(mathbf {R}^{d})) and (s> 1/2), that we also prove.
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The system reliability can be calculated with regard to the relations between the components (Kececioglu (1991; Ebeling (1997): For the components numbered as 4 and 5 in Fig. 7, the relationship between the related components can be easily written as the series and parallel formulas (Fig. 9).
Taking parallel plate formula, for a certain length of DNA, L DNA one will have the measured capacitance as C MES: C MES = C DNA + C ENV = ε DNA*(A/L DNA) + C ENV.
Since a SWCNT bundle consists of several individual SWCNT in parallel, the formulas of the resistance, inductance, and capacitance of a SWCNT bundle have been listed in previous papers [12].
The authors review and derive a set of parallel simple formulas for bias factors in the risk difference, risk ratio, and odds ratio from studies with an unmeasured polytomous confounder and a dichotomous exposure and outcome.
Theorem 17 If the graphs of E 1 and E 2 are respectively pairs of perpendicular and parallel lines with formulas E 1 = { ( x, y ) ∈ R 2 : x ( C 1 y + A 1 − β 1 ) = 0 }, E 2 = { ( x, y ) ∈ R 2 : C 2 y 2 + ( A 2 − γ 2 ) y − α 2 = 0 }, then the nonnegative equilibria of system (1) must satisfy: (a) If β 1 − A 1 < 0 and γ 2 − A 2 ≤ 0, then the unique equilibrium E 0 is globally asymptotically stable.
The antiviral effects of AHPE-XA-09 was measured by calculating the percentage of foci reduction (% RF) against the controls maintained in parallel using the following formula [ 16]; RF = (C-T) × 100/C, where, C is the mean of the number of foci from triplicates without AHPE-XA-09 added and T is the mean of the number of foci from triplicates of each treatment with AHPE-XA-09 extract.
The humerus, radius/ulna, and tibia were placed with the proximal segment end aligned with the turntable center, so these inertias around the proximal segment end (Iprox) were converted to inertias around the segment COM (ICOM) using the parallel-axes theorem in formula 2: I COM = I prox - m s·d prox where ms was the segment mass.
Fifteen infant formulas and two toddler formulas (initially purchased as part of a parallel study on As content of formulas and infant foods), as well as 29 cereal bars and three energy shot blocks were all purchased from local stores in the Hanover, New Hampshire, area.
For Israel, the parallel begins with the basic formula of trading peace for land occupied during a war -- then the Sinai, now the Golan Heights.
In particular, we require a formula for the parallel transport and the geodesics of the COP manifold.
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