Sentence examples for coupled case and from inspiring English sources

In this section, we present some coincidence point theorems in the framework of quasi-metric spaces under very general conditions which can be extended to the coupled case and can be applied to mappings that have not necessarily the mixed monotone property.

The study of multidimensional fixed point theorems was initiated by Guo and Lakshmikantham in [1] in the coupled case.

Table 2 Comparison of observed and calculated temperatures for the location of 20 geothermal production sites at different depths for the case of coupled fluid and heat transport and for the case of purely conductive heat transport ID Location UTM coordinates Depth (m asl) Temperature measured (°C) Temperature calculated (°C) Residual temp R 1 coupled case calc.–meas.

The linear form of the Klein-Gordon equation for a scalar field with both minimally and conformally coupled cases in de Sitter and flat metrics are also calculated.

The results in [19] and [20] are the unidimensional and coupled cases, respectively.

But the particles have no influence on the blood flow in one-way coupled cases.

The results show that the proposed algorithm can efficiently reduce the calculation time and be adapted to different coupling cases and different initial distribution.

A removable panel is coupled to the case and held in a second defined positional relationship to the case that covers the digital imaging subsystem without the removable panel being directly connected to the digital imaging subsystem.

By comparison, for both the coupled and uncoupled case, the supra-threshold RAF and IAF networks have lower MPC.

The temperature difference between calculated and measured values is additionally given for the coupled and conductive case in Table 2.

Fig. 7 Temperature maps at a depth of −3500 m asl showing the temperature distribution calculated for the case of coupled transport (above) and the conductive case of heat transport (below, after Przybycin et al. 2015b) Fig. 8 Temperature distribution shown on profiles (vertical exaggeration 10) through the model area.