Sentence examples for be expressed using these from inspiring English sources
Similarly, macroscopic projectors should replace the pure state projectors $[M^j]$ for pointer positions, and the conditions satisfied by $T(t',t)$ should be expressed using these macroscopic states, while retaining microscopic states for the particle.
The commonly used optimization problem definition can be expressed using the Equation (3).
Also, we show that conditioning can be expressed using the composition operator.
Therefore, the occupation rate can be expressed using the likelihood functions : (9).
Our underlying statistical model can be expressed using the decomposition in AKM.
We found that 95%to100%0% of the genes that are consistently found to be expressed using the regular protocol were also found to be expressed using the amplification protocol.
After electrotransformation, around 100 colonies from the selected library were isolated and soluble proteins of these clones were expressed using the nonsuppressor strain E.coli HB2151.
Both of these transgenes were expressed using the promoter and downstream sequences of tcer-1, and were able to restore fertility in puf-8 tcer-1 worms.
These properties might be expressed using equality constraints, inequality constraints or membership constraints.
Furthermore, these compositions can be expressed using our cluster-plus-glue-atom model as [B2(Ni,Fe)8]1(Si,Ta 1.33.
For these experiments, each Roc protein was expressed using the ubiquitous Roc1a promoter [24].
