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(2000)The notion of a saddle surface is well known in Euclidean space. In this work we extend the idea of a saddle surface to geodesically connected metric spaces. We prove that every energy minimizing surface in a nonpositively ...
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(20110826)This thesis is to study the expected difference of the continuous supremum and discrete maximum of a Lévy process that is often used in finance. We will show that the expected difference is a quantity that highly depends ...
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(1994)Let (M,g) be a noncompact complete Riemannian manifold whose scalar curvature S(x) is positive for all x in M. In this thesis, we study a conformal deformation of the given metric g, which makes the scalar curvature of the ...
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(1992)We present four algorithms that use either scaling or interior point methods for convex optimization problems; two of the algorithms use both.
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(1993)The Schanuel class consists of functions that can be obtained from $\doubc$, the variable z, and closed under addition, multiplication and exponentiation by the exponential function. A proof is presented that the minimum ...
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(1997)We also prove that the map$$v\to u=v\partial\sbsp{\bar z}{1}v\sb{z}v\sb{z}$$where $z=x+\sigma y,\ \bar z=x\sigma y$ (when $\sigma=1$ this applies to the case I and when $\sigma=i$ to case II) maps a solution of the ...
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(20140116)In [20], Keith and Zhong prove that spaces admitting Poincar e inequalities also admit a priori stronger Poincar e inequalities. We use their technique, with slight adjustments, to obtain a similar result in the case of ...
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(2003)Assume M is a connected, compact 6dimensional symplectic manifold equipped with a semifree Hamiltonian circle action such that the fixed point set consists of isolated points or compact orientable surfaces. Assume the ...
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(1964)
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(1984)The first part of this thesis studies the relationship between convexity and nearestpoint properties of sets in certain normed linear spaces. Here are some typical results.
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(1985)A semigroup T(,t) : t (GREATERTHEQ) 0 of composition operators on H('P)( ) arises as T(,t)(f) = f(CCIRC)(phi)(,t) where (phi)(,t) : t (GREATERTHEQ) 0 is a semigroup of analytic functions mapping the unit disk ...
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(20100820)In this dissertation we deﬁne and study a twoparameter family of recursive sequences which we call the bow sequences. The general bow sequence is deﬁned similarly to the Stern sequence, and many of the properties of the ...
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(1985)In this thesis we examine several problems related to the construction of onesided confidence intervals for the mean of a distribution. Let (mu) be the mean (of a normal distribution with variance 1, or of a 1parameter ...
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(20140530)This dissertation consists of 4 chapters. In Chapter 1, we will briefly introduce some background of the trilinear oscillatory integrals and the motivations for their study. We also outline some key ideas in their proofs, ...
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(1977)
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(2002)This thesis considers upper and lower bounds on the density of finite Sidon sets and the use of generating functions and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and ...
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Now showing items 904923 of 1135