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Opposed by a more popular contender in string theory, and with alternative formulations arising all the time, loop quantum gravity faces an uphill struggle if it is to become the dominant theory.
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In this paper, we propose a formulation arising "naturally" from the dual of (MCF).
The equations governing the FGMs shells are determined using a variational formulation arising from the Naghdi theory.
This formulation arises naturally in many applications such as flows in porous media.
The formulation arose in an application to transportation management for allocating funds to highway improvements.
Schmithausen in particular claims that the idealist formulation arose not out of purely theoretical or doctrinal concerns, but rather as a generalization based on the insights derived from meditative practice.
The necessity of such formulation arises especially in robotics where the accessible velocities and accelerations on the given trajectory are important for the motion planning and for the design optimization of robots and manipulators.
The justification for using a 3D formulation arises from the works of Suzuki and Ohara (1978), MacDonald et al. (2000) and Costalat et al. (2011) who showed experimental evidences of intracranial aneurysms with a ratio between wall thickness and inner radius larger that 0.1.
We exploit certain exact formulations that arise from the Gaussian nature of the fluid model and introduce analysis of memory in the fluid statistics, marking an important step toward capturing fluctuating hydrodynamics among subdiffusive particles.
SF: Be gentle with "lol" "katz" and the odd new jargons, patois and formulations that arise from the net.
On the basis of this solution, the fundamental formulations for toughening arising from martensitic and ferroelastic transformation are formulated also using the Green's function method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com