Sentence examples for the aforementioned relation from inspiring English sources

The following corollaries arise from the aforementioned relation: (1) symmetry in initial and toggled profiles remains unchanged; (2) all the mode weights other than the fundamental mode weight have the same sign in both stable states; (3) magnitudes of corrugations in stable force-free arch-profiles are approximately equal.

When the network is sufficiently trained, it will model the aforementioned relation between outputs and inputs.

To estimate the aforementioned relation for the online data, the etch data will be divided in several windows, the size of each window is 100 points and the starting point is from the 40th point.

Let us consider some particular case where the aforementioned relation is obeyed.

Using the aforementioned relations, we can express all gas flow rates as a function of the production rates, total system pressure, and partial gas pressures.

All the aforementioned relations may well be useful to increase retention and students' achievement, which will turn out to be advantageous for several parties, including students, families and the university.

To establish the aforementioned relations, two conditions are needed.

After modifying the transitive relation between load and stress, the load data of the intercity EMU at different working conditions, such as entering or departing the depot, upgoing line, downgoing line, and heavy vehicle load, are substituted into the aforementioned transitive relation and the transitive relation calibrated in the laboratory.

Certainly involved was Peirce's commitment to the ineliminability of mind in nature, for Peirce closely associated the activities of mind with the aforementioned triadic relation that he called the "sign" relation.

In this study, the aforementioned dynamic relation can be represented by the finite impulse response (FIR) system with the determined wavelet coefficients of the handwriting features as both input and output.

To estimate of each one of aforementioned relations, the decomposition level will not be associated with the optimal level.