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 199 for “"Sufficient condition"”.
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Scalar curvature on noncompact complete Riemannian manifolds
… positive constant scalar curvature. We obtain a sufficient condition for the existence of a conformal metric with positive constant scalar curvature by studying the conformal structure at infinity. To study the existence of a complete solution, we calculate the Sobolev Quotient on a special …
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Essays on economic design and coalition formation
… situations. The chapter provides the first sufficient condition for stability that may be used to study matching with complementarities and peer effects. The condition offered is shown to be also necessary for stability in some matching problems. The second chapter provides a sufficient …
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Design of and Decentralized Path Planning for Platoons of Miniature Autonomous Underwater Vehicles
… Specifically, this thesis examines a sufficient condition on platoon commands in order for a low-bandwidth decentralized controller to exist. Knowing from this sufficient condition the necessary general form of platoon commands, a number of higher-order statistics were tested. This …
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Gorenstein Injective Modules
… arbitrary direct sums? Our main result gives a sufficient condition for this to happen. We prove that when the ring R is noetherian and such that every R-module has finite Gorenstein injective dimension, every direct sum of Gorenstein injective modules is still Gorenstein injective.
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On Independent Reference Priors
… great interest. Subjective priors are ideal if sufficient information on priors is available. However, in practice, we cannot collect enough information on priors. Then objective priors are a good substitute for subjective priors. In this dissertation, an independent reference prior based on a …
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Interpolation of Weighted L2 Holomorphic Functions in Higher Dimensions
… a Green's function. In this setup we give a sufficient condition for a closed smooth uniformly flat hypersurface W in X to be interpolating. Our condition is expressed in terms of a geometric density of the hypersurface which generalizes the density notion used for hypersurfaces in the …
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Models of high rank for weakly scattered theories
… scattered and L(a,T) be E2-admissible. We give a sufficient condition, the B,-hypothesis, under which T has model A with w4A = a and sr(A) = a + 1. Given the B,-hypothesis, an iterated forcing argument is used to obtain a generic Ta D T such that Th has a model with the desired properties.
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Cross-layer design for network performance optimization in wireless networks
… can lead to infeasible routing solutions. A sufficient condition on link bandwidth is proposed that makes a routing solution feasible, and then a mathematical optimization model based on this sufficient condition is provided. Simulation results show that joint optimization models can provide …
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Zero-pole interpolation of nonregular rational matrix functions
… triple and a left σ-spectral triple for W. A sufficient condition for the minimality of McMillan degree of a rational matrix function H which is right equivalent to W on σ, that is a rational matrix function H of the same size and with the same left null-pole subspace over σ as W, is …
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Line bundles and integrality conditions in quantum mechanics and quantum field theory
… and flat connection terms. The necessary and sufficient condition for the existence of the integrality condition is obtained. The role of torsion parts in the first homology group of the configuration space is clarified. A possible extension to the higher dimensional vector bundle and its …
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Space reclamation for uncoordinated checkpointing in message-passing systems
… line can be discarded, and the necessary and sufficient condition for identifying all garbage checkpoints has remained an open problem.
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K-stability of Log Fano Cone Singularities
… singularities, and show that the necessary and sufficient condition for K-semistability is 𝛿 ≥ 1. This generalizes the result of C. Li and K. Fujita. We also prove that on any log Fano cone singularity of dimension 𝑛 whose 𝛿-invariant is less than (𝑛+1)/𝑛, any valuation computing 𝛿 has a …
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Halphen's theorem and related results
Halphen's Theorem states that, "A necessary and sufficient condition for every dynamical trajectory in a positional field of force in E3 to be planar is that the field of force is either parallel or central." This result has been known for some time, however only the sufficiency part of the theorem …
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Folded Symplectic Toric Four -Manifolds
… direction: the main result is a necessary and sufficient condition for two orientable, folded symplectic toric four-manifolds to be isomorphic.
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Memory optimization techniques for embedded systems
… improve the memory performance of loops. Only a sufficient condition for the legality of tiling was known previously. While it was conjectured that the sufficient condition would also become necessary for "large enough" tiles, there had been no precise characterization of what is "large enough." …
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Diederich-Fornæss Index on Boundaries Containing Crescents
… index of these domains, another sufficient condition for global regularity of the Bergman Projection. </p>
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ΣΠΟΥΔΗ ΣΤΑ ΙΔΙΑΖΟΝΤΑ ΜΕΤΡΑ ΠΟΥ ΠΡΟΚΥΠΤΟΥΝ ΑΠΟ ΑΠΕΙΡΟΓΙΝΟΜΕΝΑ
… ON A RADEMACHER SYSTEMOF FUNCTIONS. WE PROVE A SUFFICIENT CONDITION FOR ONE RIESZ PRODUCT MEASURE OFTHIS TYPE TO BE EQUIVALENT TO ANOTHER. ALSO WE SHOW THAT ON ANY LOCALLY COMPACT NON DISCRETE GROUP G, THERE EXIST CONTINUOUS SINGULAR MEASURES, WITH RESPECT TO THE LEFT HAAR MEASURE, WHICH HAVE …
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The Role of Political Behavior and Socio-Economic Development in the Transition and Consolidation of Liberal Democracy in Sub Saharan Africa
… economic development is a necessary but not sufficient condition for the consolidation of democracy in the region. In conclusion, I argue that Sub Saharan African nations must pursue both political and economic liberalization which entails the creation of a business elite that is separate …
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Rigidity of length functions over strata of flat metrics
… of finite type. We provide a necessary and sufficient condition for a set of simple closed curves to be spectrally rigid over a stratum with enough complexity, extending a result of Duchin-Leininger-Rafi. Specifically, for any stratum with more unmarked zeroes than the genus, the …
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The Grade Conjecture and asymptotic intersection multiplicity
… > 0$. We also give a necessary and sufficient condition on $M$ for the existence of a system of parameters $\underline{x}$ with $\chi_\infty(M, A/\underline{x}) > 0$. We then prove that if the Grade Conjecture holds for a given module $M$, then there is a system of parameters …
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