Sentence examples for by utilizing the fact from inspiring English sources
Now, by utilizing the fact that are projections for each, then we have (2.18).
By utilizing the fact that the elastic modulus is proportional to the square root of the resonant frequency the elastic modulus of each specimen can be calculated according to American standard ASTM C215.
This is straightforward to prove by utilizing the fact that3 mathbf{v}_{{i_{lk}}}^{H}boldsymbol{Psi}_{j}^{- 1} = frac{tilde{ phi}_{ji_{lk}}}{B} mathbf{v}_{{i_{lk}}}^{H}.
In the new WSN, self-powered sensors are employed to harvest vibration energy and measure vibration intensity simultaneously, by utilizing the fact that the harvested energy accumulated through time is proportional to the vibration amplitude and frequency.
To an extent, such spurious highlight detections can be eliminated by following an approach similar to shadow detection; that is, by utilizing the fact that highlights cast on the road surface by different moving vehicles are similar and so pixel values repeat.
The mixing ratio of H2SO4 vapor around 35 50 km altitude can be measured by radio occultation by utilizing the fact that attenuation of radio waves occurs in the Venus atmosphere primarily due to H2SO4 vapor in this altitude region, with smaller contributions from CO2 and SO2 (Jenkins and Steffes, 1991; Jenkins et al., 1994).
Recently, this fact has been established by utilizing the concept of competitive ratio, which is defined as the worst-case ratio of the cost of a control design with limited model information to the cost of the optimal control design with full model information.
They are not always doing this by utilizing the endless array of well-intentioned not-for-profit outreach programs.
At that order, the inner equations are given by (where we utilized the fact that ( {tilde{mu}}_{alpha}^0={partial}_z{tilde{mu}}_{alpha}^1=0 )) hbox {v}_1{partial}_z{tilde{c}}_{alpha}^0={partial}_zleft {tilde{M}}_{alpha}^0{partial}_z{tilde{mu}}_{alpha}^2right).
In these experiments, we utilized the fact that binding of ARS to phenylboronic acid is accompanied by a strong fluorescence emission.
