Sentence examples for foundation of this paper from inspiring English sources

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Next, we prove the Poincaré-type inequality for the composition of the Dirac operator and Green's operator, which forms the foundation of this paper.

At the foundation of this paper, one can consider boundary value problems of fractional differential equations with parameters, and also can make further research on eigenvalue problems of fractional differential equations.

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Consequently, thought the basic ideas on the foundations of this paper might be considered classical, most of the proofs throughout are extremely sophisticated and absolutely new in their full generality.

VC drafted the paper, conducted the literature review, and interpreted the results that formulated the foundation of the paper.

Based on the equilibrium, continuity and energy principles of the multi-phase porous medium, the heat-moisture-deformation (HMD) coupling model is established for the frozen soil foundation in this paper, with the consideration of the force interaction between the soil skeleton and ice particle, and the energy jump behaviors during the phase-changing between ice and water.

To improve the design method of foundation of transmission tower in mining subsidence area, and considering the interactions of transmission tower, ground and foundation, this paper presents a contrast research on the anti-deformation performance of two types of foundation (i.e. independent foundation and composite foundation with protecting apron) by finite element simulation.

While an analysis of the multitude of models of consent developed and their philosophical, ethical and legal foundation are beyond the scope of this paper, one way of structuring the debate is by distinguishing the forwarded models as "narrow" versus "broad" consent to biobank research.

He began the construction of the Sheldonian Theatre, installed the university press in it, set up a type foundry, and encouraged the foundation of a paper mill nearby.

What is the factual foundation of this methodology considering that recent papers and the authors' own data indicated the existence of non-centromeric CENP-A in chromatin?

In the remainder of this paper, the computing foundation of photogrammetry is briefly addressed.

The Foundation had no role in the actual planning, writing or submission of this paper.

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