Sentence examples for set spectrum from inspiring English sources

Throughout the whole paper, denote the resolvent set, spectrum, point spectrum, essential spectrum, and discrete spectrum of T by (rho(T)), (sigma(T)), (sigma_{p}(T)), (sigma_{e}(T)), and (sigma_{d}(T)), respectively.

The domain, range and kernel of a linear operator B ∈ C ( H ) are denoted as D ( B ), R ( B ) and N ( B ) ; the symbols ρ ( B ), σ ( B ) and σ p ( B ) are used for the resolvent set, spectrum and point spectrum of B, respectively.

The domain, range, and kernel of a linear operator (Binmathcal{C}(H)) are denoted as (mathcal{D}(B)), (R(B)), and (N(B)); the symbols (rho(B)), (sigma(B)), and (sigma_{p}(B)) are used for the resolvent set, spectrum, and point spectrum of B, respectively.

Prior knowledge basis set spectra are not required as the three main singlets of the spectral profiles are quite robust.

By identifying this metric, it allows for measuring the SUs' ability of utilizing spectrum opportunities and helps in designing CRNs by setting correct spectrum sensing parameters.

It employed a variation of the bootstrapping method and repeatedly divided a given data set (spectra containing the proteomic features in this study) randomly into two groups to calculate the relative difference for each of the permutations.

Fig. 2 shows the olefinic, glyceride, bis-allylic and terminal CH3 regions, each on an appropriate vertical scale, from the entire collection of Training Set spectra, presented separately for each species and Lab.

For training the ANN, the 2.100 reference spectra were divided into a training set (8 spectra of each strain), a set for internal validation (1 spectrum of each strain) and a test set (1 spectrum of each strain).

We set both spectrum and energy efficiency as our goals.

CV terms can be used to express relationships for other PDHs to the group representative, such as "sequence same-set", "spectrum same-set", "sequence subset" and "spectrum subset".

The data from each "internal standards only" set of spectra were used to correct the data from the following 10 samples.