Sentence examples for utilized the properties of from inspiring English sources

Furthermore, we have utilized the properties of multi-affine vector fields over the polar partitioned space.

They efficiently utilized the properties of data storage and strong error correction of QR codes to secure the authentication data of an image.

end{aligned} Here we have used the change of variable z defined in the proof of Theorem 2.1 and utilized the properties of the gamma and beta functions.

Since mapping of such different lengths of sequence containing the unmappable adapter sequence was not possible using a standard sequence mapping/assembly program, we utilized the property of mpsmap that maps different length sequences to the best chromosomal location, while allowing up to a specified number of mismatches without a gap.

Utilizing the properties of, we have that.

DLS and NTA utilize the properties of Brownian motion to provide hydrodynamic diameters.

The algorithm utilizes the properties of QR-decomposition and extracts a block-wise probability function that illustrates the probability of video frames to be in shot transitions.

Utilizing the properties of the pseudo-metric and the triangular norm, some tripled common fixed point problems of hybrid probabilistic contractions with a gauge function φ are studied.

To fully utilize the properties of a CNT forest with the high alignment, density, and the CNT forest structure, a different method of patterning is required.

The latter point is an important feature that most typical root-finding algorithms do not have because they do not utilize the properties of analytic functions.

The Doppler diversity transceivers in this paper are developed by explicitly utilizing the properties of imperfect CSI, whereas most existing works on Doppler diversity assume perfect CSI.