1,678 research outputs found

    Orbital surveys and state resource management

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    The resource management implications of satellite earth resource surveys for the state of Ohio are discussed. Discussions cover environmental problems, planning future developments, and short- and long-range benefits of such resource management

    Fracture of disordered solids in compression as a critical phenomenon: III. Analysis of the localization transition

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    The properties of the Hamiltonian developed in Paper II are studied showing that at a particular strain level a ``localization'' phase transition occurs characterized by the emergence of conjugate bands of coherently oriented cracks. The functional integration that yields the partition function is then performed analytically using an approximation that employs only a subset of states in the functional neighborhood surrounding the most probable states. Such integration establishes the free energy of the system, and upon taking the derivatives of the free energy, the localization transition is shown to be continuous and to be distinct from peak stress. When the bulk modulus of the grain material is large, localization always occurs in the softening regime following peak stress, while for sufficiently small bulk moduli and at sufficiently low confining pressure, the localization occurs in the hardening regime prior to peak stress. In the approach to localization, the stress-strain relation for the whole rock remains analytic, as is observed both in experimental data and in simpler models. The correlation function of the crack fields is also obtained. It has a correlation length characterizing the aspect ratio of the crack clusters that diverges as (\xi \sim (\ep_{c}-\ep)^{-2}) at localization.Comment: 11 pages, 3 figure

    Closed Geodesics on Godel-type Backgrounds

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    We consider radial oscillations of supertube probes in the Godel-type background which is U-dual to the compactified pp-wave obtained from the Penrose limit of the NS five-brane near horizon geometry. The supertube probe computation can be carried over directly to a string probe calculation on the U-dual background. The classical equations of motion are solved explicitly. In general, the probe is not restricted to travel unidirectionally through any global time coordinate. In particular, we find geodesics that close.Comment: latex, 15 pages, 1 figure. v3: reference added, clarifications added and some discussions expande

    Observation of the Faraday effect via beam deflection in a longitudinal magnetic field

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    We report the observation of the magnetic field induced circular differential deflection of light at the interface of a Faraday medium. The difference in the angles of refraction or reflection between the two circular polarization components is a function of the magnetic field strength and the Verdet constant. The reported phenomena permit the observation of the Faraday effect not via polarization rotation in transmission, but via changes in the propagation direction in refraction or in reflection. An unpolarized light beam is predicted to split into its two circular polarization components. The light deflection arises within a few wavelengths at the interface and is therefore independent of pathlength

    Religion, place and space: a framework for investigating historical geographies of religious identities and communities

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    This is the author's post-print version. The definitive version is available at http://phg.sagepub.com/cgi/content/abstract/30/1/28Despite a well-established interest in the relationship between space and identity, geographers still know little about how communal identities in specific places are built around a sense of religious belonging. This paper explores both the theoretical and practical terrain around which such an investigation can proceed. The paper makes space for the exploration of a specific set of religious groups and practices, which reflected the activities of Methodists in Cornwall during the period 1830-1930. The paper is concerned to move analysis beyond the `officially sacred' and to explore the everyday, informal, and often banal, practices of Methodists, thereby providing a blueprint for how work in the geography of religion may move forward

    Direct measurements of helium and hydrogen ion concentration and total ion density to an altitude of 940 kilometers

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    Measurement of ion concentration and total ion density in exosphere using mass spectrometer and electrostatic prob

    Noncommutative 1-cocycle in the Seiberg-Witten map

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    We show that the Seiberg-Witten map for a noncommutative gauge theory involves a noncommutative 1-cocycle. The cocycle condition enforces a consistency requirement, which has been previously derived.Comment: 6 pages; email correspondence to R. Jackiw ; missing factors of i inserted, one reference adde

    Ionosphere Electron Temperature Measurements and Their Implications

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    Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/147864/1/jgrtb00020.pd

    Gradual Change In Human Tooth Size In The Late Pleistocene And Post‐Pleistocene

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    Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/137561/1/evo05847.pd
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