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Browse Dissertations and Theses  Mathematics by Title
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(20150121)This thesis addresses two closely related problems about ideals of powers of linear forms. In the first chapter, we analyze a problem from spline theory, namely to compute the dimension of the vector space of trivariate ...
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(20130822)My dissertation is mainly about various identities involving theta functions and analogues of theta functions. In Chapter 1, we give a completely elementary proof of Ramanujan's circular summation formula of theta functions ...
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(1984)This paper investigates the following questions. If a compact manifold, M, with positive sectional curvature is isometrically immersed in some ambient space, N, what is the radius of the smallest ball in which its image ...
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(20100820)The main goal of this work is to improve algebraic geometric/number theoretic constructions of errorcorrecting codes and secret sharing schemes. For both objects we define parameters that indicate their effectiveness in ...
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(1980)In the notation of H. Halberstam and H.E. Richert, the small sieve estimate of Selberg is
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(1981)This thesis is divided into two parts. The first part studies the control of the maximal function of Ndimensional Brownian motion, B(,t), by the maximal function of partially observed Brownian motion. Let R denote a fixed ...
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Inequalities for the differential subordinates of Martingales, harmonic functions and Ito processes (1995)In Chapter 1 we sharpen Burkholder's inequality $\mu(\vert v\vert\geq1)\leq2\Vert u\Vert\sb1$ for two harmonic functions u and v by adjoining an extra assumption. That is, we prove the weaktype inequality $\mu(\vert ...
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(1985)The performances of ratiothreshold (R/T) antijam communication systems in the presence of different jamming strategies are studied. Frequency hopping spread spectrum (FH/SS) binary frequencyshiftkeying (FSK) modulation ...
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Now showing items 315334 of 791