Sentence examples for is explicitly demonstrated from inspiring English sources
The existence in these situations of a Stokes region near the particle is explicitly demonstrated.
It is explicitly demonstrated that the on-shell Green's functions and S-matrix elements describing these charged fields have, to all orders in the coupling, the pole structure associated with particle propagation and scattering.
The importance of determining the particle concentration profile within μ-capillaries is explicitly demonstrated as shear induced migration causes significant concentration gradients to occur at strong flow conditions (i.e. Pep=270).
This is explicitly demonstrated by the co-expression of CLINT1 associated with schizophrenia with all its interactors in the brain region associated with the pathophysiology of the disease (Brodmann area 10: anterior prefrontal cortex; Figure 9B).
The integrability property was explicitly demonstrated and Lax pairs were also obtained.
However, the relevance of the endogenous agonist, presumed to be CRF, has never been explicitly demonstrated.
This was explicitly demonstrated for GaN/AlN layers grown on Si (111) substrates with different misorientation angles [18, 19].
The adverse effects of thermal loading in the geotechnical design of energy piles are explicitly demonstrated through a case study.
Although these reports suggest the advantages of long CNTs on electron, thermal, and mechanical properties of a CNT assembly, this point has not been explicitly demonstrated experimentally.
The main objective of this paper is to show how one can obtain several interesting reduction formulae for Lauricella functions from a multiple hypergeometric series identity established earlier by Jaimini et al. The results are derived with the help of generalized Kummer's second summation formulas obtained earlier by Lavoi et al. Some special cases of our main result are explicitly demonstrated.
Although this concept is intuitive it has not, to our knowledge, been explicitly demonstrated before.
