1,461,520 research outputs found

    Mennine-Stokes Collection; no.07720

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    Sepia image of Theora Smith Ailman posed sitting in chair for a portrait photograph. Image mounted on yellowed matte board.Master file: image/tiff; 82,324 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-15

    When is a Stokes line not a Stokes line?

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    During the course of a Stokes phenomenon, an asymptotic expansion can change its form as a further series, prefactored by an exponentially small term and a Stokes multiplier, appears in the representation. The initially exponentially small contribution may nevertheless grow to dominate the behaviour for other values of the asymptotic or associated parameters.We introduce the concept of a higher order Stokes phenomenon, at which a Stokes multiplier itself can change value. We show that the higher order Stokes phenomenon can be used to explain the apparent sudden birth of Stokes lines at regular points, why some Stokes lines are irrelevant to a given problem and why it is indispensible to the proper derivation of expansions that involve three or more possible asymptotic contributions. We provide an example of how the higher order Stokes phenomenon can have important effects on the large time behaviour of linear partial differential equations.Subsequently we apply these techniques to Burgers equation, a non-linear partial differential equation developed to model turbulent fluid flow. We find that the higher order Stokes phenomenon plays a major, yet very subtle role in the smoothed shock wave formation of this equation

    Letter from Edward C. Stokes to Miss Emma A. McCoy

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    Letter from President of The Mechanics National Bank of Trenton, Mr. Edward C. Stokes, thanking her for inviting him to the local teachers banquet.Miss McCoy was Supervisor of Drawing at New Brunswick High School which was the school from which she graduated in 1883. She was actively engaged in the New Brunswick community during her lifetime. The collection reflects her activities and interests on both the local and national arenas.Original order was unknown. For this small collection, each item has been separately foldered

    Stokes diagnostics of simulated solar magneto-convection

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    We present results of synthetic spectro-polarimetric diagnostics of radiative MHD simulations of solar surface convection with magnetic fields. Stokes profiles of Zeeman-sensitive lines of neutral iron in the visible and infrared spectral ranges emerging from the simulated atmosphere have been calculated in order to study their relation to the relevant physical quantities and compare with observational results. We have analyzed the dependence of the Stokes-I line strength and width as well as of the Stokes-V signal and asymmetries on the magnetic field strength. Furthermore, we have evaluated the correspondence between the actual velocities in the simulation with values determined from the Stokes-I (Doppler shift of the centre of gravity) and Stokes-V profiles (zero-crossing shift). We confirm that the line weakening in strong magnetic fields results from a higher temperature (at equal optical depth) in the magnetic flux concentrations. We also confirm that considerable Stokes-V asymmetries originate in the peripheral parts of strong magnetic flux concentrations, where the line of sight cuts through the magnetopause of the expanding flux concentration into the surrounding convective donwflow

    Integral representation of a solution to the Stokes-Darcy problem

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    With methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H-1/2

    The numerical solution of the Navier-Stokes equations for laminar incompressible flow past a paraboloid of revolution

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    A numerical method is presented for the solution of the Navier-Stokes equations for flow past a paraboloid of revolution. The flow field has been computed for a large range of Reynolds numbers. Results are presented for the skinfriction and the pressure together with their respective drag coefficients. The total drag has been checked by means of an application of the momentum theorem.

    Mennine-Stokes Collection; no.07730

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    Sepia image of Henry B. Ailman wearing a late 19th century informal suit, posed for a portrait photograph after a recent eye injury. Oval cut image mounted on a yellowed matte board.Master file: image/tiff; 133,179 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-23

    Stokes--anti-Stokes light scattering process: -- A photon-wave-function approach

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    The Photon wave function Formalism provides an alternative description of some quantum optical phenomena in a more intuitive way. We use this formalism to describe the process of correlated Stokes--anti-Stokes Raman scattering. In this process, two photons from a laser beam are inelastically scattered by a phonon created by the first photon (Stokes processes) and annihilated by the second photon (anti-Stokes process), producing a Stokes--anti-Sokes (SaS) photon pair. We arrive at an expression for the two-photon wave function of the scattered SaS photon pair, which is in agreement with a number of experimental results

    Mennine-Stokes Collection; no.07721

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    Sepia image of a Mexican cart with furniture parked outside the bay window of a wood constructed home. A ceramic bowl is placed underneath the tongue of cart. Seen at left is what appears to be an unidentified man standing on the porch of the home. Image mounted on a dark brown matte board. Verso: Written in black ink; "This picture taken in our parlor in front of the night blooming c____ plant the last act before leaving our lovely home forever."Master file: image/tiff; 101,685 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-15

    Mennine-Stokes Collection; no.07719

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    Sepia stereoscope image of the Naid Queen Silver Mine in Georgetown, N. M. Thirteen unidentified individuals pose for the photograph. A small adobe home can be seen at the foot of a scrub covered hill. Image mounted a yellowed matte board. Verso: Written in black ink; "Scenery of New Mexico The Naid Queen Silver Mine Georgetown 1878 owners Meredith and Ailman." Written in blue ink; "This picture should be inserted on page 88 of my manuscript H B. A."Master file: image/tiff; 79,676 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-15
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