Sentence examples for exists the first component from inspiring English sources

If there exists the first component (widehat{x}) of an eigenvector of H associated with some eigenvalue (widehat{lambda }) such that (Delta widehat{x})=0) and (3.4) holds, then the root vector system of H is complete in the CPV sense in (Xtimes X) if and only if the collection of the first components of the root vector system of H is a Schauder basis in X.

Outside the crossing region, where only one fiber exists, the second component is aligned with the first.

We analyze the components in combination, as the second component would not exist without the first component being in place (the information campaign in the active screening program has likely prompted some people to directly present themselves at the health facility for treatment of hearing disorders, whereas prior to the program, no specific hearing treatment was available).

Closed-form solution for the maximization of the intermediate EM quantity (mathcal {Q}(boldsymbol {theta },boldsymbol {theta }^{prime })) exists only for the first component.

The hotel may be the first component to be built.

According to the first component (p1; R = 0.16), positive inter-correlations existed mainly between [lactate], [pyruvate], and [glutamate] (at all nine time points for the three substances), with [BKN] (four time points) and with [5-HT] and [SP].

According to the first component (p1; R = 0.25), positive inter-correlations existed between [lactate] (six of nine time points), [glutamate] (two out of nine time points), [K+] (four of nine time points), and [BKN] (two time points).

In addition, lack of unidimensionality may exist when the eigenvalue of the first contrast in a Rasch principal components analysis of the residuals (PCA-R) (i.e., the first component after the Rasch component has been removed) is larger than 2.0, and when the variance explained by the Rasch component is small (e.g., < 40%%) [ 38].

Is character the keystone, the first component of a novel?

The first component is Conflict state.

The first component is universal education.