Sentence examples for we then express from inspiring English sources

We then express our solutions in terms of oblique projection matrices and establish the geometry of our constrained minimizations.

We then express that a unit step approximation can be derived for the packet error rate of block fading channels that closely matches the numerical computation of the packet error rate in a tractable closed-form expression.

As a result we have h i H w i = P i ∑ n = 1 N t | h i n | 2. We then express the ergodic capacity in bit/seconds/Hertz (bps/Hz) for the data transmission C E, where the ergodic capacity gives an upper bound of the average capacity [23], i.e., E [ log 2 ( 1 + γ ) ] ≤ log 2 ( 1 + E ). (10).

We then express the latter two in scale terms as derived above.

We then express the change in extreme summer risk (per region) as the percentage change between periods.

We then express these scores relative to the highest score thus obtained, such that the semischematic plot in Figure 6 shows the maximum "choice" score as "1".

We then expressed MST4 in endogenous mir-4728 high-expressing BT474 cells and observed an increase in ERK activity.

We then expressed shits1 broadly in all pacemaker neurons but blocked expression in the LNv using the GAL4 repressor GAL80 (Table 1, cry24; pdfGAL80/+; UASshits1/+, [24]).

We then expressed PAD1 and FDC1 in the same yeast strain using two multicopy plasmids.

We then expressed zebrafish RH2-1 using p1D4-hrGFP II in order to assess its utility in expressing cone opsins, known to be less stable and more difficult to express than bovine rhodopsin.

We then expressed pro-Caspase-1 and adapter protein Asc in yeast under constitutive weak promoters, such that the amount of Asc produced was insufficient to activate pro-Caspase-1 in the absence of other cofactors.