Sentence examples for exist in the classical from inspiring English sources

Of special importance is the behavior of the new solutions near to the point of application of the loads where pathological singularities and discontinuities exist in the classical solutions.

One may then choose the stochastic input process for example as a Wiener process or a coloured noise process, these processes exist in the classical sense and have almost surely continuous paths.

Because the size effect observed in polymer nanoparticles does not exist in the classical continuum modeling of materials, the response of the FEA model is independent of size effects and thus serves as an excellent control reference to compare the molecular modeling results with.

For example, the Fourier transform of such simple functions as polynomials does not exist in the classical sense.

The compounds 1 and 2 unlike 14-membered macrolides adopted the 3-endo-folded-out conformation while 3 and 4 existed in the classical folded-out conformation.

For him, the key question for public agencies is "how do you procure what you don't know exists?" In the classical model of procurement, an agency drafts a Request for Proposals (RFP) that spells out exactly what the agency is looking for from vendors.

Taken as a whole, these data demonstrate that at least two types of dif/Xer systems exist in proteobacteria: the classical machinery found in most species and an atypical system present in a sub-group of ε proteobacteria.

Several classical techniques exist in the literature in order to approximate a sum of log-normal RV, e.g., Schwartz-Yeh [18] and Farley [19].

Several reviews exist in the literature on the use of classical atomistic MD for clay systems;[ 48– 52] here, we highlight the parameters required for simulation and studies that are of importance to the research presented.

Host genotype also appears to affect to some extent the ultimate pathological presentation of the disease [ 2- 4] as do specific scrapie 'strains' [ 5] and this complex interaction is not yet clearly understood, although it is widely accepted that several variants of classical scrapie exist in the field.

Certainly the interest in so-called "indie classical" released on labels such as Erased Tapes, by artists like Nils Frahm and A Winged Victory for the Sullen, and at nights such as London's Non-Classical didn't exist in the same way a decade ago.