Examples of inhomogeneous

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These developments show that, in inhomogeneous turbulence, one-particle stochastic models can be badly in error unless they are formulated carefully.
They will serve as a reference for similar measurements carried out in the inhomogeneous mixing layer to be described below.
The theory will need to be extended and take into account an inhomogeneous medium.
The inhomogeneous equations (4.10) in general have no solution unless the associated solvability condition, which determines the marginal state of magnetoconvection, is satisfied.
With (21) and (23), the nonlinear equations (1)-(4) are transformed into a set of linear inhomogeneous equations.
However, laser intensity is inhomogeneous in any focal spot.
Another possibility to explain the mosaicity increase is inhomogeneous cooling.
The variation of beam-width parameter with distance of propagation has also been studied for inhomogeneous plasma and penetration in overdense plasmas is indicated.
We obtain a general solution of this equation, finding solutions for the homogenous equation and a particular solution for the inhomogeneous equation.
The thin wall of the aneurysm and the adjacent atrial tissue might have caused inhomogeneous refractoriness to induce the re-entrant tachyarrhythmia.
Our stability analysis, for perturbations of localized solutions, typically leads to singularly perturbed eigenvalue problems with spatially inhomogeneous coefficients that are difficult to study analytically.
Since the flow is inhomogeneous in the radial direction, radial spectra cannot be calculated.
These equations cannot be solved by the usual methods of linear stability theory (decomposition into normal modes) because the equilibrium state is inhomogeneous and time-dependent.
Single-point fixed point analysis is, even conceptually, not possible for inhomogeneous flows.
The implication of this research is that the human visual system can compensate for spatially and spectrally inhomogeneous light fields.
For the inhomogeneous process, the instantaneous rate can vary over time, for example in response to an external stimulus.
This implies that brightness induction from an inhomogeneous background must consider the polarity of contrast edges within the whole scene.

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