Sentence examples for the corresponding case from inspiring English sources

In the present paper the corresponding case for time harmonic anti-symmetric waves is considered.

A mathematical model and the corresponding case study are employed to illustrate the practicability and efficiency of the RISC.

The corresponding case studies are dedicated to the structuring and phase behavior of biopolymers, powders and granular materials, and to the evolution of these structures caused by external constraints.

Surprisingly, in the absence of any external loading, the hoop stress induced solely by the surface effects is identical to that in the corresponding case in a linearly elastic solid.

The lines for M=8 are omitted since they are almost identical to the corresponding case with M=4.

When food consumption is fixed the induced land use emissions are 59.8 g CO2e/MJ or 31.6% higher than the corresponding case when food consumption is not fixed.

At 2nd foundation (−2) level bending moment in adjacent building with SSI increases by 2.67 times than the corresponding case without SSI effect.

Example 2. In Table 2, we also show the corresponding case with subcarriers per user based on the results in Figures 4 and 8.

Proof We must prove the inequalities only in the case α ∈ ( 0, 1 ), since the case α = 0 or α = 1 follows directly from the corresponding case of Kato's inequality.

Assuming again that x is an eventually positive solution of (1.1) that satisfies (3.4) and proceeding as in the proof of Theorem 3.4, we end up having to show case (2) (as the corresponding case in Theorem 3.1).

For columns with crack pattern DC, a crack through the whole cross section was formed, which is similar to the corresponding case of columns with length of 600 mm.