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As explained in part I of this work, the solution of a kinematic wave problem is a set of continuum least-cost paths in space-time.
A continuum-microstructure work rate equivalence approach is used to develop a set of continuum partial differential governing equations, in terms of multiresolution microstresses (and couple microstresses).
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The continuum-scale approach is based on a set of continuum-scale radiative transfer equations and associated radiative properties, and employs the Monte Carlo ray-tracing for computations of radiative fluxes and for computations of the radiative properties.
The model considers secretion and diffusion of soluble inflammatory and anti-inflammatory mediators and their effects on tissue, which is modeled as a set of spatial continuum variables.
Conversely, observations are made in relation to the relevance of these results in the development and calibration of a broader set of continuum damage mechanics models.
The filtering problems are considered over observations with multiple delays and a set of delays of the continuum power.
In a letter to Husserl drafted in 1905, Brentano asserts that "I regard it as absurd to interpret a continuum as a set of points".
By considering Maxwell's equations in a volume parameterized by dimensionless curvilinear coordinates, we obtain a set of tensor equations that are a continuum analogue of common circuit equations, and that separate the metrical and metric-free parts of Maxwell's equations and the material constitutive relations.
The cardinality of the continuum can be shown to equal 2ℵ0; thus, the continuum hypothesis rules out the existence of a set of size intermediate between the natural numbers and the continuum.
The paper presents a method for computing the response of a 1D elastic continuum supported by a set of semi-active viscous dampers and induced by a load travelling over it.
It is an attitude that sees languages as complementary, not competitive, and sees the world as a continuum of cultures, rather than a set of distinct borders.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com