These have been which are indeed applied to the following class of density matrices: ( mathcal{A}_{beta,s,L} = {hat{rho} : int_{mathbb{R}^{2}}mathrm {d}q,mathrm {d}p vert F [ W_{rho} ] q,p vert^{2mathrm {e}^{2beta(q^{2}+p^{2})^{s/2}} leq (2pi)^{2}L }).
Author's response: First of all, we would contend that the Tree of Life hypothesis was indeed applied to all of organismal life, but not to all evolving entities - it conspicuously left out plasmids, viruses, phage etc. Simpler ideas are appealing and indeed parsimonious reasoning is a powerful argument that is applied for many explanations in biology.
Suppose this claim were sustained by a Chomskyan theory, showing that the ordinary notion expressed by the natural language word "thinking" is, indeed, correctly applied only to living things, and not to artifactual computers.
Reactive distillation (RD) is a great process intensification concept applicable to equilibrium limited reaction systems, but how can anyone decide quickly if RD is indeed worth applying?
Pressure dependent measurements during baseline conditions revealed that scalp blood flow is indeed sensitive to applied pressure and enabled us to estimate extra-cerebral and brain blood flow signals at all source-detector separations.
In conclusion, our examples demonstrate that it is indeed possible to apply the keypoint removal-injection procedure to produce an image that is forensically undetectable by the targeted CFMD (thanks to removal) and that does not exhibit traces of counter-forensic processing (thanks to injection).
A more lengthy classical precipitation method at pH 8 was indeed also applied to the preparation best performing catalyst (2 wt.% Au-La2O3) thereby getting better results in a fresh state but practically equal after prolonged ageing (800 °C for 5 h).
Several twelve-month periods, such as July/June, October/September, April/March, have been proposed and were indeed also applied.
The argumentation focusing on citizens' best interests was indeed also applied to justify the increasing co-payments that would result from the introduction of vouchers and from restrictions on the eligibility criteria for receipt of services.
