Sentence examples for thus we only explain from inspiring English sources

Thus, we only explain the calculation of bond scores.

Obviously, the R-histogram is invariant to translation transformation, thus, we only explain the invariance of the R-histogram to affine transformation matrix.

Thus, we can only explain the failure of the PDA mechanism in the broad terminology of "it lacked feasibility".

We completed separate analyses because newly emerged and mature individuals were collected at different times of the season thus we could only explain the variation in survivorship and immune parameters within each age category and discuss if there were differences in explanatory variables.

The objective function for the optimization problem is as follows: (2) where I+ is the set of index pairs referring to the elements where R is 1, and similarly, I− refers to the negative elements of R. Thus, we only try to explain the non-zero elements of R, which represent the large expression changes due to the influence of the cultivation parameters.

Thus, we only prove the sufficiency.

Thus, we only need to show that.

Thus we only need to prove that.

Thus we only retained appropriately powered genes.

Thus, we only reported results by industry.

Assuming a fourfold increase in the risk of intracranial aneurysm among siblings of cases [ 28, 29], the five intracranial aneurysm risk loci identified thus far only explain up to 5% of the familial risk of intracranial aneurysms [ 22].