Sentence examples for under the continuum from inspiring English sources

The mathematical model is based on heat and mass transfer phenomena under the continuum approximation.

The model is developed under the continuum media theory and is implemented in a finite element framework.

The PhIX index was defined as: (AnVNIR+log(AnSWIR2))/(AnVNIR−log(AnSWIR2)), where AnVNIR and AnSWIR2 are the respective normalised areas under the continuum removed reflectance curve within the VNIR (500 800 nm) and SWIR2 (2000–2210 nm) regions.

Combined with the previous result of Jiménez and Moreno (based upon the work of Kunen under the continuum hypothesis) we obtain that the MIP renormability of Asplund spaces of density ω1 is undecidable in ZFC.

Firstly, we prove that the continuous part of the central sequence algebra of a strongly self-absorbing action is indistinguishable from the continuous part of the sequence algebra, and in fact equivariantly isomorphic under the Continuum Hypothesis.

This thin plate version of micromechanics is capable of dealing with heterogeneous inclusions, or inhomogeneities, whose size is comparable with the thickness of thin plates, under these circumstances, the continuum micromechanics theory is no longer applicable.

Under the assumption that the continuum hypothesis ((aleph_{1}=2^{aleph _{0}})) is true, the proof of Theorem 5.3 essentially uses not the nontrivial Gitik-Shelah theorem but the rather simple Alaoglu-Erdös theorem.

A theoretical model based on geometrically necessary dislocations is proposed to quantify the contribution of various defects to the plastic deformation under bending, which links the continuum theory and atomistic simulations.

Solvents are introduced by their dielectric constants under the Polarizable Continuum Model (PCM) [65].

The continuum hypothesis (under one formulation) is simply the statement that there is no such set of real numbers.

In this study, electrostatic charging in gas liquid solid fluidized beds with liquid as the continuum phase under different operating conditions was explored.