Sentence examples for by using the trace from inspiring English sources

The following stronger necessary condition was also obtained in [51] by using the trace class criterion for Hankel operators.

We derive combinatorial identities by using the trace, the determinant and the n th power of a special matrix.

Since the harmonic extension operator is bijective from (mathcal {V}_{0}(Omega)) to (H_{0,L}^{1}(mathcal{C})), by using the trace theorem we can deduce the following definition.

By using the traces, we reconfigure 25 users and a maximum of four AP antennas in our simulations.

The effective LAI (Le) was estimated optically by measurements with the gap fraction instrument LAI-2000 and corrections for the aggregation of leaves were achieved by using the TRAC (Tracing Radiation and Architecture of Canopies) instrument.

A second relevant finding is that by using the SGoFincance Trace, one may immediately move to a smaller amount of effects (and FDR) by inspecting other values for the γ parameter.

To investigate this aspect, we performed a lineage-tracing experiments by using the G-TRACE system, which is based on the expression of a pair of GFP-RFP Stinger reporters.

A solar concentrator combining primary paraboloidal and secondary hyperboloidal mirrors is numerically designed by using the ray tracing method to obtain higher concentration ratio when the concentrator tracing error exists.

The two tests were analyzed by using the US-NRC TRACE best estimate code, employing the same nodalization previously used for the simulation of small-break LOCA experiments of the ROSA-1 programme.

The same diagram, plotted by using the ray-tracing reconstruction of the environment, will be very similar to the one seen in the experiments, with difference only in noise-like background and weak short traces that can be caused by small objects.

In 2005 in an article published by Genome Biology, authors using the Trace Archive a repository for raw, unanalyzed genomic sequencing data discovered three new species of the bacterial endosymbiont Wolbachia pipientis in three different species of fruit fly: Drosophila ananassae, D. simulans, and D. mojavensis[ 13].