It is one of the first rigidity statements in dynamical systems. In the last two decades Katok has been working on other rigidity phenomena, and in collaboration with several colleagues, made contributions to smooth rigidity and geometric rigidity, to differential and cohomological rigidity of smooth actions of higher-rank abelian groups and of lattices in Lie groups of higher rank, to measure rigidity for group actions and to nonuniformly hyperbolic actions of higher-rank abelian groups. Katok's works on topological properties of nonuniformly hyperbolic dynamical systems. It includes density of periodic points and lower bounds on their number as well as exhaustion of topological entropy by horseshoes.
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One of the reasons to adopt the NUDFT is that many signals have their energy distributed nonuniformly in the frequency domain. Therefore, a nonuniform sampling scheme could be more convenient and useful in many digital signal processing applications. For example, the NUDFT provides a variable spectral resolution controlled by the user.
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Reactors with large physical dimensions, e.g. the RBMK type, can develop significant nonuniformities of xenon concentration through the core. Control of such non-homogeneously poisoned cores, especially at low power, is a challenging problem. The Chernobyl disaster resulted from an attempt to recover Reactor 4 from a nonuniformly poisoned state.
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Jin, Z., T.P. Charlock, K. Rutledge, K. Stamnes, and Y. Wang, An analytical solution of radiative transfer in the coupled atmosphere-ocean system with rough surface. Appl. Opt., 45, 7443-7455, 2006. Jin, Z., and K. Stamnes, Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system, Appl. Opt., 33, 431-442, 1994.
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In the radiation emission curves, several important signatures identify the composition of the emitting or absorbing dust particles. Dust particles can scatter light nonuniformly. Forward scattered light is light that is redirected slightly off its path by diffraction, and back-scattered light is reflected light. The scattering and extinction ("dimming") of the radiation gives useful information about the dust grain sizes.
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For a uniformly rotating white dwarf, the limiting mass increases only slightly. If the star is allowed to rotate nonuniformly, and viscosity is neglected, then, as was pointed out by Fred Hoyle in 1947, there is no limit to the mass for which it is possible for a model white dwarf to be in static equilibrium. Not all of these model stars will be dynamically stable.
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Evaporated materials deposit nonuniformly if the substrate has a rough surface (as integrated circuits often do). Because the evaporated material attacks the substrate mostly from a single direction, protruding features block the evaporated material from some areas. This phenomenon is called "shadowing" or "step coverage." When evaporation is performed in poor vacuum or close to atmospheric pressure, the resulting deposition is generally non-uniform and tends not to be a continuous or smooth film.
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The mass of an isolated, nonrotating white dwarf cannot exceed the Chandrasekhar limit of ~1.4 . This limit may increase if the white dwarf is rotating rapidly and nonuniformly. White dwarfs in binary systems can accrete material from a companion star, increasing both their mass and their density. As their mass approaches the Chandrasekhar limit, this could theoretically lead to either the explosive ignition of fusion in the white dwarf or its collapse into a neutron star.
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The intensity of the quality was represented by a length or latitudo proportional to the intensity erected perpendicular to the base at a given point on the base line, which represents the longitudo. Oresme proposed that the geometrical form of such a figure could be regarded as corresponding to a characteristic of the quality itself. Oresme defined a uniform quality as that which is represented by a line parallel to the longitude, and any other quality as difform. Uniformly varying qualities are represented by a straight line inclined to the axis of the longitude, while he described many cases of nonuniformly varying qualities.
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In this paper Hansen et al. state: > Our concern that BAU GHG scenarios would cause large sealevel rise this > century (Hansen 2005) differs from estimates of IPCC (2001, 2007), which > foresees little or no contribution to twentyfirst century sealevel rise from > Greenland and Antarctica. However, the IPCC analyses and projections do not > well account for the nonlinear physics of wet ice sheet disintegration, ice > streams and eroding ice shelves, nor are they consistent with the > palaeoclimate evidence we have presented for the absence of discernible lag > between ice sheet forcing and sealevel rise. Sea level rise due to the collapse of an ice sheet would be distributed nonuniformly across the globe.
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