Sentence examples for utilized the fact from inspiring English sources

Hanushek et al. utilized the fact that different US states have changed their compulsory schooling requirements at different times, including the minimal school-leaving age.

We utilized the fact that the decline of the Arctic fox in Finnmark has been spatially heterogeneous by contrasting ecosystem state variables between regions and landscape areas (within regions) with and without recent Arctic fox breeding.

Moreover, we have utilized the fact that P 0 : V − 1 ( t ) T P 0 : M ( Q ) = 0 i.e., the submatrices, P 0 V−1 t) and P 0 : M ( Q ) are orthogonal to each other.

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).

To examine the validity of the functional mapping, we utilized the fact that informative voxels involved in processing male faces shall be largely overlapped with those in processing female faces simply because they belong to the same category.

To determine whether the LDV-induced IFNα response [16] could be responsible for CD69 induction, we first utilized the fact that IFNα induces CD69 expression on B cells in vitro [19].

To assess changes in cognitive complaints between first and last visit, we utilized the FACT-COG.

I want to make sure that whatever is being done is utilizing the fact that we've got some of the richest soil on earth and the best farmers on earth.

Mechanical tachometers utilize the fact that the centrifugal force on a rotating mass depends on the speed of rotation and can be used to stretch or compress a mechanical spring.

Now, by utilizing the fact that   are projections for each, then we have (2.18).

This quality assessment paradigm utilizes the fact that natural images are highly structured.