Sentence examples for existence of two principal from inspiring English sources

The power spectra of the acoustic data for bubble production of 0.5 bubbles/s showed the existence of two principal peaks which are correlated with two discrete events.

In Section 3, the existence of two principal eigenvalues of (1.3) and (1.4) will be discussed.

Also, we obtain the existence of two principal eigenvalues of the corresponding linear eigenvalue problems.

Theoretical analysis confirmed the existence and the nature of two principal electronic transitions (π → π* and intramolecular charge transfer).

The analysis consists of two principal parts.

These large cities were of two principal types.

In addition, multiple studies of OCD symptoms suggested existence of four to six principal OCD-dimensions [8], [34], [35] that have been associated with different patterns of heritability and specific genetic polymorphisms [36], as well as with differential response to pharmacological and non-pharmacological treatments [37], [38].

We will give a proof of Ocneanu′s announced classification of subfactors of the AFD type II1 factor with the principal graphs An, Dn, E7, the Dynkin diagrams, and give a single explicit of exp π √ -1/24 and exp π √-1/60 for each of E6 and E8 such that its validity is equivalent to the existence of two (and only two) subfactors for these principal graphs.

Principal component analysis showed the existence of two main components accounting for 76% of the total variability.

A principal component analysis suggested the existence of two underlying factors: physical/dissociative (PAS) and perceptive/emotional (EDS) aspects of peritraumatic stress reaction.

The principal component analysis found evidence for the existence of two constructs: physical and mental.