This is due to the fact that boundary value problems have significant applications in applied sciences.
The many interests in (1.1) may stem from the fact that boundary value problems of type (1.1) model various dynamic systems with m degrees of freedom in which m states are observed at m times; see Meyer [1].
In fact, the boundary of (U_{i,j}) consists of five faces: two of these faces are totally geodesic, and each of the other three faces is congruent to a piece of the Clifford torus.
In fact, the boundary condition (1.3) signifies that Ω is composed of a material which is clamped in a rigid body in the portion Γ0 of its boundary and is clamped in a body with viscoelastic properties in the portion of Γ1.
In fact, free boundary problems have received considerable attention in many fields, such as tumor cure [11] and wound healing [12] in medicine, vapor infiltration of pyrolytic carbon in chemistry [13], and expansion of the area infected by the virus in epidemiology [14].
Based on the fact that boundary region is characterized with scarcity of genes, a density based pruning algorithm is proposed here for pre-filtering non-DEG genes located outside the boundary region so that the false positive rate of current DEG algorithms can be improved.
In fact, their boundaries have gone.
In fact the boundaries here, though much smaller after the intrusion of temporary stands, are as big as those at Edgbaston and in Sri Lanka's innings there were only three sixes.
On the other hand, when introns interrupt at the middles of codons, they exist in between the first and second bases much more frequently than between the second and third bases, despite the fact that boundaries between the first and second bases of codons are generally far more important than those between the second and third bases.
The presence of iron particles at the ends of forming nanotubes (Fig. 4a) may serve as an indirect confirmation of the fact that boundaries of contact of the catalyst grains to each other are the initial allocation of carbon and the formation of a new phase.
