Sentence examples for be equivalent by using from inspiring English sources

We remark in passing that the results (3.8), (3.9) and (3.10) are recorded in [8] in another form which can be easily seen to be equivalent by using the reflection property of the gamma function.

Shi [50] and Robinson [48] proved that the variational inequalities and the Wiener-Hopf equations are equivalent by using the projection technique.

Expression of HA RNMT and HA RNMTcat was judged to be equivalent by Western blotting performed using anti-HA antibodies.

if is a real positive number, then the definitions of and are equivalent, hence By using and from this theorem, we obtain We have the following two cases.

Secondly, it is strongly advisable to merge structures that are equivalent by symmetry or by translation (using the "−m" option), which tends to considerably reduce the number of structures (depending on the symmetry of the system).

Supply, demand, and quantity transmission elasticities used are equivalent to those used by Schroeder and Tonsor (2011).

The supply, demand, and quantity transmission elasticities used are equivalent to those used by Schroeder and Tonsor (2011).

The Eggleton formula has been widely used to calculate volume equivalent radius of the Roche lobe for the case of synchronous rotation (p=1) (here we note that the q we use is equivalent to (1/q) used by Eggleton (1983)).

We selected this dose of aprepitant since this dose is equivalent to that used by us in another murine infection and to treat chemotherapy-associated nausea in humans [ 19, 38].

This means that 40 of the 53 eyes were sorted as equivalent by using both methods.

The total α-MSH dose used in this study is equivalent to that used by Höhn & Braun [34] (also Text S1).