Sentence examples for pair of directions from inspiring English sources

We must avoid a symmetrical arrangement in the y-axis direction because the arrangement cancels the imaginary part of the received signal for the pair of directions.

We must avoid a symmetrical arrangement in the x-axis direction because the same Doppler shift frequency appears for the pair of directions.

The regular prism-type Cu6Sn5 grains formed on (0 0 1) and (1 1 1) Cu single crystals are elongated either along two perpendicular directions or along three preferential directions with an angle of 60° between each pair of directions.

In particular, they claim that Reichenbach's common cause principle merely demands that for any given pair of directions I, J there exists a quantity Qij which screens off the correlations between the results of measurements directions I and J, rather than that there is a single quantity (the prior state λ) which screens off all correlations between all pairs of directions.

This reduces the variety of Doppler frequencies generated and works as if the number of probe antennas is smaller than the actual number L. We must avoid a symmetrical arrangement in the y-axis direction because the arrangement cancels the imaginary part of the received signal for the pair of directions.

The goal of CCA is to learn a pair of directions w x and w y to maximize the correlation between the two projections ({w_{x}^{T}}X) and ({w_{y}^{T}}Y), where T denotes the transpose, i.e., to maximize: rho= frac {E[{w_{x}^{T}}XY^{T}w_{y}]}{sqrt{E[{w_{x}^{T}}XX^{T}w_{x}]E[{w_{y}^{T}}YY^{T}w_{y}]}} (3).

However, it is somewhat hard to understand in which sense the quantities Qij can be said to exist if they cannot be combined into a single quantity λ which determines the values of all the Qij and therefore screens off all correlations for all pairs of directions of measurement.

To quantify the correlation between wind direction and cholera spatial dissemination pattern for Vibrio cholerae dissemination in Africa during 1970 1971, we used the formula for circular correlation (ρ circ) of Jammalamadaka and SenGupta (2001): This formula denotes the sample pairs of directions (wind direction and the cholera spatial dissemination direction).

Undirected edges are replaced by a pair of directed edges in each direction.

For each of these pairs, the PCs are not uniquely defined, and any pair of perpendicular directions in the corresponding plane can be chosen as the PCs.

In our previously published article, we have discussed the reason for the nanotrenches induced by the migration of AuZnδ being only oriented along a specific pair of <011> direction although there are four <011> directions on the surface of a (100 -oriented substrate of zinc-blended structure [100 -oriented