Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 22 for “"local fields"”.
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An â-adic Fourier transform over local fields
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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Efficient enumeration of extensions of local fields with bounded discriminant
… the complexity of polynomial factorization over local fields. We use this bound in an efficient new algorithm for factoring a polynomial Z over a local field k . For every irreducible factor [varphi]( x ) of Z ( x ) our algorithm return an integral basis for k [ x ]/[varphi]( x ) k [ x ] over k .
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On the integral extensions of isometries of quadratic forms over local fields
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1964.
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Enhancement and extinction effects in surface-enhanced stimulated Raman spectroscopy
… current methods involve the enhancement of local fields from spontaneous Raman scattering near a metallic substrate. By utilizing stimulated Raman scattering over spontaneous Raman scattering, the effect of the enhancement of the local fields will be increased due to nonlinear excitations. …
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Topological uniqueness results for the special linear and other classical Lie Algebras.
… etc.) induces a topological isomorphism. A local field is a locally compact topological field with non-discrete topology. The only local fields (up to isomorphism) are the real, complex, and p-adic numbers, finite extensions of the p-adic numbers, and fields of formal power series over …
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Whittaker functions on metaplectic groups
… on metaplectic covers of reductive groups over local fields.
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Arithmetic and dynamical systems
… at two diophantine approximation problems in local �fields of positive characteristic, one a generalisation of the Khintchine{Groshev theorem, another a central limit theorem. We also prove a P�olya{Carlson dichotomy result for a large class of adelicly perturbed rational functions. In …
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Optimization of Polymer-based Nanocomposites for High Energy Density Applications
… distance, effectively minimizing the effect of local field on the composite's dielectric breakdown. The first step is studying the particle size and aspect ratio effects on the dielectric properties to ensure a judicious choice in order to obtain the highest enhancement. The best results, as a …
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The local-global principle in number theory
" p-adic fields provide remarkable, easy and natural solutions to problems which apparently have no relation to p-adic fields and which otherwise can be resolved, if at all, only by deep and arduous methods ". -- J. W. S. Cassels The first Local-Global Principle, formulated by Hasse in 1921, …
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The Motional Stark Effect diagnostic on Alcator C-Mod
… pitch angle profile. The C-Mod MSE measures the local electric field direction by measuring the polarization angle of Balmer-[alpha] n=2) emission from a radially injected hydrogen Diagnostic Neutral Beam (50 keV, 5 A, 50 ms). The Lorentz electric field (EL = v ) and the magnetic field cause the …
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Cultural Characteristics of Western Educational Structures and Their Effects on Local Ways of Knowing
… relationships nurtured through visiting and localized events that capitalized on community interaction. Self-determination was important: Native leadership emphasized their role in sharing Native ways of knowing and cultural meaning in order to develop cultural bridges between the Native and …
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Cultural Characteristics of Western Educational Structures and Their Effects on Local Ways of Knowing
… relationships nurtured through visiting and localized events that capitalized on community interaction. Self-determination was important: Native leadership emphasized their role in sharing Native ways of knowing and cultural meaning in order to develop cultural bridges between the Native and …
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Arithmetic transfers, modularity of arithmetic theta series and geometry of local-global Shimura varieties at parahoric levels
… components. We also formulate and prove some local modularity questions. Secondly, we formulate some semi-Lie and group version arithmetic transfer conjectures at maximal parahoric levels, relating central derivatives of orbital integrals of explicit test functions to arithmetic intersection …
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Spin dynamics of fine magnetic particles
… densities and have helped to indicate the local fields acting in an assembly of fine magnetic particles.
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Discrete and free subgroups of SL₂
… subgroups of the matrix group SL₂ (over various locally compact fields) which are both discrete and free. We first examine the existing literature on two- and three-generated subgroups of SL₂(R) and SL₂(C). Some such subgroups are known to be free, and this can be proved by applying a …
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Measurement of local potentials using the scanning electron microscope, and its application in the failure analysis of micro-electronic circuits
… of voltage and timing information for detailed local study of individual components within micro-electronic circuits.<br/><br/>The project showed how the SEM may be operated at low voltages (less than 5kV), to maximise Secondary Electron (SB) emissions which carry the voltage information and …
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[mu]SR measurement of the magnetic penetration depth and coherence length in the high-T superconductor YBa₂Cu₃O₆ 95
… as observed by OR measurements of the local field inhomogeneity produced by the vortex state. Measurements were taken on a mosaic of single crystals in applied fields in three field regimes: low (A < L), moderate (A > L) and high (A > L > e), where L is the intervortex spacing and e is …
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Optomechanical Devices and Sensors Based on Plasmonic Metamaterial Absorbers
… plasmonic resonances can strongly enhance local fields and, hence, magnify light-matter interactions. Optical absorbers based on plasmonic metamaterials can absorb light resonantly at the operating wavelengths with up to 100% efficiency. We have explored plasmonic absorbers at infrared …
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Optomechanical Spin-Photon Interface in Wide-Bandgap Materials
… coherent interaction between photon and phonon fields. Furthermore, optomechanical cooperativity can be parametrically enhanced by the intracavity photon number, N. However, large N can increase cavity loss rate if the material platform suffers from nonlinear absorption. As a result, this thesis …
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Slow and fast light by spectral hole-burning in the solid state
… the sample was controlled by external magnetic fields. A magnetic field reduces the spectral hole width compared to zero field by reducing the electronic spin-flip rates and hence fluctuations of the local fields. Magnetic fields up to 4.5 T were applied in these studies. The linear filter …
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