Using other t-norm and t-conorm operations with multiplication and division operations would make the realization of the circuit very difficult and inefficient.
When d/R→0, traditional transformation optics cloaks require divergent parameters in the cloaking shell (see the Supplementary Information), which make the realization of ultrathin cloaks quite difficult, especially in the optical frequency regime.
Considering that the larger air-holes are apt to deform in the drawing procedure, the characteristics mentioned above make the realization of DF-PCFs relative easy by employing conventional stack and draw technology and modest air-hole rings (less than 10 rings) in the cladding.
"Perhaps the biggest difficulty in the change was for me to make the realization that I'm one person, and how can one person lead an organization with 100 or more employees?" he says.
For those who aim to understand mathematical discourse as it is used in the practice of mathematics, and who try to identify suitable features of that practice that prevent commitment to mathematical entities, the proposed translation will make the realization of that goal particularly difficult.
Without lose of generality and to make the realization of the proposed algorithm simple and better understood, we assume (sigma ^{2}=sigma _{i}^{2}), (xi =xi _{k}^{i}), (varepsilon _{l}=varepsilon bar {H}_{k}^{i}), (eta _{l}=eta bar {G}_{S,k,l}^{i},), and (delta _{l}=delta bar {G}_{k,l,D}^{i}), respectively.
The 2006 discovery of topological insulators made the realization of quantum anomalous Hall effect practical.
Since experiences with these forms of Public Private Partnerships are diverse, making the realization of government's sustainability policies dependent upon these practices is not without risks.
Unlike a single-crystal silicon strain gauge, a crystal direction does not affect its sensitivity in a polysilicon sensor, and this isotropic property makes the realization of an omni-directional strain gauge array possible.
So do a thousand microblogged tributes to MCA mean anything to all the Gen Xers who thought they would be young forever, but who discover that, to a degree that makes the realization as mundane as dust, they too will die?
For the historical Buddha, the answer was quite simple: it is karma itself that makes the realization of liberation possible.
