Sentence examples for trace the trace from inspiring English sources

We introduce the orthogonal projection operator (tilde{Pi }^{2}_{N}) from (H^{2}_{0}(Omega)) to (mathbb{P}^{2,0}_{N}(Omega)), the space of polynomial functions vanishing with its normal derivative on the boundary of Ω. ({tilde{Pi}}^{2}_{N}) preserves the trace, the trace of the normal derivative on Γ, and the values on the corners; see ([20], Chapter II) for the properties of this operator.

In the absence of chase ('−Chase,' blue trace), the traces appear biphasic as in Figure 2. In the presence of chase ('+Chase,' orange trace), two additional phases appear in the FRET decrease.

In addition, we implemented the mechanism of "traces"; the trace files contain the result of simulation.

Numerous design parameters are evaluated, including the width and separation of the coil traces, the trace thickness, number of turns and the maximum and minimum radius of the coil.

Because all image manipulations leave traces, the traces of the image forgery can be a clue for localizing the forged regions.

(F ) Average dendritic (red trace) and somatic (blue trace) calcium responses along with the simultaneously recorded average voltage trace (black trace) acquired from the patched cells.

The ionograms often reveal the presence of additional traces situated close to the F region trace (1F trace) and its higher order reflections, which are known as satellite traces (STs) (Lyon et al. [1961]; Abdu et al. [1981]).

where trace indicates the trace operator.

We implemented our trace analysis algorithm using the Trace Compass trace viewer (previously TMF - Tracing and Monitoring Framework) [14].

Trace Compass indexes the trace using a State History Tree (SHT) [15].

(operatorname{trace} ( cdot )) denotes the trace of the corresponding matrix.