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As is the case for the MBM, the Hölder regularity of the GMBM varies from point to point.
Ghosh, Berkowitz and Parr designed a thermodynamical transcription of the ground-state density functional theory and introduced a local temperature that varies from point to point.
From 2010 through 2012, BICEP2 peered at a small patch of the CMB to measure the polarization of the microwaves as it varies from point to point.
In general, for finite times the propagator varies from point to point in state space (i.e., it is a function of the position \ \bx t)\) in state space and only approaches a constant in the infinite time limit), implying that the local finite-time Lyapunov exponents vary from point to point.
The simplest embodiment, at least for concurrent flow, is to regard the flow system as a case of perfect mixing at each point of a continuum where the composition varies from point to point of the continuum, as well as the stream rates, from one end to the other.
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Consider a small element of fluid of mass m, which apart from the force on it due to gravity is acted on only by a pressure p. The latter is isotropic and does not vary with time but may vary from point to point in space.
In such conditions, the temperature and the composition vary from point to point.
Such inhomogeneity leads to non-uniform permeability of the fiber preform, which in turn causes the resin velocity to vary from point to point at a micro scale.
Characteristic feature, the representation can vary from point to point across the thickness, in order to adapt to the variation of solutions.
The local coordinates n and s are, respectively, perpendicular and tangential to the boundary (varGamma); they therefore vary from point to point along the boundary.
Numerical tests and applications to lithographic masks demonstrated that the FE technique provided accurate film stress even if magnitudes varied from point to point and principal directions changed over the surface.
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