A valid decomposition will arise irrespective of the choice made at each iteration of the reaction with non-zero flux, but how this choice is made determines the specific decomposition.
She said G.M. "should be given the opportunity to reconsider the outcome of the bidding process on the basis of firm written assurances by the German authorities that the aid would be available, irrespective of the choice of investor or plan" to ensure Opel's long-term viability, the commission said.
We have confirmed the stability of the averaged amplitude irrespective of the choice of the bandwidth from 0.0 to 0.3 Hz.
The restriction map (mathcal {R}) so defined is known to be injective, irrespective of the choice of B [12].
Irrespective of the choice of scale factor, enveloping horizon and curvature of the universe, the time derivative of total entropy stays at the positive level.
Irrespective of the choice of fixation, the literature reports the outcome of these injuries remains suboptimal with the propensity to deteriorate over time [46, 47, 48, 49, 50].
For large plates, (sigma _mathrm{PB}) is appreciably lower than the prediction of the dashed line, indicating that rheological weakening or yielding operates on the boundaries of large plates, irrespective of the choice of reference frame (Fig. 6).
However, in view of Remark 1.2, (d(A)=0) implies (d^{f}(A)=0) is always true in case of any finite set (A subsetmathbb{N}), irrespective of the choice of unbounded modulus f. [24].
Various methodologies may be used, depending on safety requirements and financial aspects, but irrespective of the choice made there are certain aspects that always have to be considered.
One of the results is the derivation of a critical value for the delay factor (f∞) beyond which instability is certain irrespective of the choice of the feedback factor.
