403 research outputs found

    11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds

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    We consider generic features of eleven dimensional supergravity compactified down to five dimensions on an arbitrary Calabi-Yau threefold.Comment: TeX, harvmac, 8 pg

    The Elementary Particles as Quantum Knots in Electroweak Theory

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    We explore a knot model of the elementary particles that is compatible with electroweak physics. The knots are quantized and their kinematic states are labelled by Dmm′jD^j_{mm'}, irreducible representations of SUq(2)SU_q(2), where j = N/2, m = w/2, m' = (r+1)/2 and (N,w,r) designate respectively the number of crossings, the writhe, and the rotation of the knot. The knot quantum numbers (N,w,r) are related to the standard isotopic spin quantum numbers (t,t3,t0)(t,t_3,t_0) by (t=N/6,t3=−w/6,t0=−(r+1)/6)(t=N/6,t_3=-w/6,t_0=-(r+1)/6), where t0t_0 is the hypercharge. In this model the elementary fermions are low lying states of the quantum trefoil (N=3) and the gauge bosons are ditrefoils (N=6). The fermionic knots interact by the emission and absorption of bosonic knots. In this framework we have explored a slightly modified standard electroweak Lagrangian with a slightly modified gauge group which agrees closely but not entirely with standard electroweak theory.Comment: 29 pages; LaTex fil

    Effect of Reprocessing and Excipient Characteristics on Ibuprofen Tablet Properties

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    Purpose: To determine excipient and ibuprofen:excipient mixture sensitivity to reprocessing produced by either direct compression or wet granulation.Methods: The effect of excipient type, technology and reprocessing on flow, compressibility and compactibility was assessed using and 8x2x2 factorial design. Design Expert® v.8.01 software was employed for data analysis. Pure excipients were processed by direct compression, while the ibuprofen:excipient mixtures were processed by wet granulation. Once compacts were produced, they were milled and reprocessed using the same technologies, respectively. Excipient properties such as particle size, porosity and densities were also evaluated.Results: For most excipients, reprocessing caused a 20 – 50 % decrease in particle size and 5 – 80 % reduction in porosity, but increased compactibility (10 – 50 %). Flow decreased (30 – 50 %) only for highly densified excipients such as calcium carbonate and calcium diphosphate.Conclusion: Microcrystalline cellulose and sorbitol are the excipients with the best tableting properties when reprocessing is conducted via wet granulation and direct compression platforms, respectively.Keywords: Reprocessing, Excipient, Microcrystalline Cellulose, Sorbitol Direct Compression, Wet Granulation, Ibuprofe

    Triangular mesh parameterization with trimmed surfaces

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    Given a 2manifold triangular mesh M⊂R3M \subset {\mathbb {R}}^3, with border, a parameterization of MM is a FACE or trimmed surface F={S,L0,…,Lm}F=\{S,L_0,\ldots, L_m\} -- FF is a connected subset or region of a parametric surface SS, bounded by a set of LOOPs L0,…,LmL_0,\ldots ,L_m such that each Li⊂SL_i \subset S is a closed 1manifold having no intersection with the other LjL_j LOOPs -- The parametric surface SS is a statistical fit of the mesh MM -- L0L_0 is the outermost LOOP bounding FF and LiL_i is the LOOP of the ith hole in FF (if any) -- The problem of parameterizing triangular meshes is relevant for reverse engineering, tool path planning, feature detection, redesign, etc -- Stateofart mesh procedures parameterize a rectangular mesh MM -- To improve such procedures, we report here the implementation of an algorithm which parameterizes meshes MM presenting holes and concavities -- We synthesize a parametric surface S⊂R3S \subset {\mathbb {R}}^3 which approximates a superset of the mesh MM -- Then, we compute a set of LOOPs trimming SS, and therefore completing the FACE F=\ {S,L_0,\ldots ,L_m\} -- Our algorithm gives satisfactory results for MM having low Gaussian curvature (i.e., MM being quasi-developable or developable) -- This assumption is a reasonable one, since MM is the product of manifold segmentation preprocessing -- Our algorithm computes: (1) a manifold learning mapping ϕ:M→U⊂R2\phi : M \rightarrow U \subset {\mathbb {R}}^2, (2) an inverse mapping S:W⊂R2→R3S: W \subset {\mathbb {R}}^2 \rightarrow {\mathbb {R}}^3, with \ (W\) being a rectangular grid containing and surpassing UU -- To compute ϕ\phi we test IsoMap, Laplacian Eigenmaps and Hessian local linear embedding (best results with HLLE) -- For the back mapping (NURBS) SS the crucial step is to find a control polyhedron PP, which is an extrapolation of MM -- We calculate PP by extrapolating radial basis functions that interpolate points inside ϕ(M)\phi (M) -- We successfully test our implementation with several datasets presenting concavities, holes, and are extremely nondevelopable -- Ongoing work is being devoted to manifold segmentation which facilitates mesh parameterizatio

    Space-Time Distribution of G-Band and Ca II H-Line Intensity Oscillations in Hinode/SOT-FG Observations

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    We study the space-time distributions of intensity fluctuations in 2 - 3 hour sequences of multi-spectral, high-resolution, high-cadence broad-band filtergram images (BFI) made by the SOT-FG system aboard the Hinode spacecraft. In the frequency range 5.5 < f < 8.0 mHz both G-band and Ca II H-line oscillations are suppressed in the presence of magnetic fields, but the suppression disappears for f > 10 mHz. By looking at G-band frequencies above 10 mHz we find that the oscillatory power, both at these frequencies and at lower frequencies too, lies in a mesh pattern with cell scale 2 - 3 Mm, clearly larger than normal granulation, and with correlation times on the order of hours. The mesh pattern lies in the dark lanes between stable cells found in time-integrated G-band intensity images. It also underlies part of the bright pattern in time-integrated H-line emission. This discovery may reflect dynamical constraints on the sizes of rising granular convection cells together with the turbulence created in strong intercellular downflows.Comment: 24 pages, 15 figure
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