Sentence examples for 3 arise from inspiring English sources

Equations similar to (2) and (3) arise in the study of heat flow in materials of fading memory type, or are in connection with epidemic problems.

In 2010, Nolder introduced the A-Dirac equations (1) and explained how the quasi-linear elliptic equations (3) arise as components of Dirac equations (1).

It is well known that the A-harmonic equations begin{aligned} -operatorname{div}A x, nabla u)=0 end{aligned} (3) arise in the study of nonlinear elastic mechanics.

These results signify that the ratiometric changes observed in Figure 3 arise from resonant energy transfer.

We believe that these additional peaks (2 and 3) arise due to the existence of vibronic modes of the CVB molecule on graphene.

Boundary value problems involving oblique or mixed second derivative boundary conditions[1,3] arise in the description of heat (or mass) transfer in stationary media which are peripherally cooled (or leached) by a fluid in which the temperature (or concentration) is varying significantly in the direction of flow.

Models in the form of (1) arise in many applications.

In Anchorage, Alaska, particulates with aerodynamic diameter ⩽10 μm (PM10) arise primarily from natural, geologic sources, and particulates with aerodynamic diameter ⩽2.5 μm (PM2.5) arise primarily from automobile emissions.

Furthermore, also excited states (peaks P2 and P3 in Fig. 5a) arise at higher I e.

Following this communication scheme, only Scenarios 3 and 4 arise as feasible ones.

In the endpoint case, when p = 1, two natural questions about Proposition 1.2 arise.