Sentence examples for since we defined from inspiring English sources

Notice that since we defined s to be an ordered pair, it follows from the way pairs are constructed in ordinary mathematics that s will not itself be the constant sequence 0. We should comment on the ≈ notation here.

Since we defined that LRTP has to be shown by at least three of the indicators to keep uncertainties as small as possible, these cases have not occurred among the compounds of the REACH database.

Since we defined the eigenvalues to satisfy |M1 t)| > |M2 t)| > |M3 t)| at each time t, jumps of the eigenvalues occurred at times when the order of the eigenvalues changed (Fig. 9), although the moment tensor solutions were continuous with time (Fig. 8).

We should note that since we defined all thin protrusions as filopodia, some filopodia longer than 10 µm might be defined also as branches in the analysis shown in Figure 5B.

The sum of time spent diving, at surface and hauled out should add up to 100%, but since we defined the time spent diving as deeper than 2 m (Fig. 3), we lack information on the time spent in the depth interval from 1 m and up to 2 m.

Since we defined abnormality as a score falling below the 5th percentile, we highlighted these results (cf. [ 60]).

Quite apart from anything else, since we define them both as art, it would have established some of the aesthetic, if not moral, distinctions between Bronzino and Prince.

Since we define an epoch counter as a standard attribute, the size of the universe is quite important.

The factor s = 1 π ∫ − π / 2 π / 2 1 + ( d u d θ ) 2 d θ is needed to resize the profiles, since we define the lift function on the ( ξ 1, ξ 2 ) plane but want to have a Gaussian-shaped FCS in the ( u, l ) plane.

Since we define the total derivative by taking a limit as 'v' goes to zero, f ′('a') must be a linear transformation.

Since we define the dispersal and movement structure across patches, the model could work just as appropriately for any connectivity of patches.