Sentence examples for show the regularity from inspiring English sources

Then, using elliptic regularity and second order estimates, we can show the regularity of the solution.

Simulation results show the regularity of energy consumption with the control variables.

In this paper, we show the regularity theory on an A-harmonic system and an A-Dirac system.

We show the regularity in (H^{2}) and (H^{4}) under certain assumptions imposed on the initial data.

However, an additional process is needed to clearly show the regularity of the GSMDS model for circular arrays.

In other words, the main purpose of this paper is to show the regularity theory on an A-harmonic system and the corresponding A-Dirac system.

Section 6 shows the regularity and the influences of the parameters m, l, α on the decay rate.

Figure 8 shows the regularity of the energy consumption with the net buoyancy B, diving depth d and the number of profiles n.

When (phi=0), system (1.1) and (1.2) reduces to the well-known Euler system, Ferrari [1] showed the regularity criterion operatorname {rot}uin L^{1} bigl 0,T L^{infty}(Omega) bigr).

When ϕ = 0, (1.2), (1.2), and (1.3) are the well-known Boussinesq system with zero viscosity; Fan and Zhou [3] also showed the regularity criterion (1.7).

Text for this sub-section Table 1 shows the regularity of menstrual cycles at the age of 18 22 years old by birth decade.