Sentence examples for are the same therefore from inspiring English sources

We assume that the density of surface defects are the same, therefore, longer silicon nanowires have more surface defects.

For the case in which the aperture is proportional to the fracture length, the results obtained according to the criteria of aperture and fracture length are the same; therefore, only four plots are shown in Fig. 25.

The results of this study indicate that the product composition of thermal hydrocracking and catalytic hydrocracking are the same; therefore, there is no carbonium ion mechanism in slurry-phase hydrocracking, which still follows the free radical mechanism.

No two people are the same; therefore what's best for you depends on your unique needs, experiences, and circumstances.

With the load balance in both tiers, the work load of each VM is the same; therefore, the VMs in the same tier are considered identical.

This heuristic is a natural choice, since the number of tags in the range of each reader is the same; therefore a good performance could be expected.

On the other hand, i2MapReduce requires the number of map and reduce tasks to be the same; therefore, it runs 232 reduce tasks (i.e., 8 reduce task per node).

The results of both analyses were the same; therefore only the chi-square results are reported.

For the half-pupil and divided-pupil configurations, the coherent-transmitter path is the same, therefore the Fourier-analysis computational model for the coherent-transmitter path was repeated for only the divided-pupil configuration of a point-scanning and line-scanning system.

Therefore, from the dimension of, we conclude that the lifts constructed in both cited results are the same and, therefore, simultaneously and -holomorphic to first order.

The vectors of each class are the same, and, therefore, their rank is 1.