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The main objective is the macroscopic modeling and description of anisotropic material response behavior by means of the well-developed microplane concept applied within a micropolar continuum setting.
Such a theory should address two interrelated problems: how to represent in a continuum setting the motion of dislocations, hence the kinematics of curved and connected lines, and how to capture dislocation interactions.
However, the problem can be mitigated by application of the g-test in a phase continuum setting (see below).
Application of statistical tests in a phase continuum setting mitigates some of the critical limitations of periodicity testing and allows improved signal to noise ratio by digital signal processing [ 40].
By tailoring the ZPR design variable update scheme to the continuum setting, each volume constraint is updated independently, in series or in parallel.
The phase field approach regularizes sharp crack surfaces within a pure continuum setting by a specific gradient damage modeling with geometric features rooted in fracture mechanics.
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Moments like these reinforce the idea of an "African cultural continuum" set forth by the art historian Richard Powell.
There are three types of agents in the model: A continuum set ({mathcal {B}}) of bettors are interested in betting, but only if the odds are attractive; a finite set K of bookmakers that offer bets; and a regulator (Government) that decides on taxes.
In fact, all functions belong to the continuum sets C k ν have exactly k -- 1 simple zeros, this implies that it is impossible to exist ( λ j, θ ) ∈ C k ν, j ∈ ℕ. Next, we shall prove (c) is impossible, suppose (c) occurs, then C k ν is bounded and without loss of generality, suppose there exists a point ( ι, y ) ∈ ℝ × ( V ) ∩ C k +.
The continuum set of quadratures with (phiin[0, pi]) provides a complete characterization of the signal state [2, 6].
Fifteen percent of the patients were admitted to acute rehabilitation settings, 5% of patients were admitted to sub-acute rehabilitation settings, and 80% of the patients were admitted into a continuum of care setting.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com