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(201504)When we think of addition numbers come to mind. How about we examine addition in nature? This image brings together several ways to add various objects to create one sum. The lights appear random and chaotic but there all ...
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(1993)The examples discussed in this paper are related to the atomic space problem: Is there an infinite dimensional space with no proper closed infinite dimensional subspace? This question is equivalent to one first posed by ...
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(1987)In this thesis we introduce the class (DELTA)(X,Y) of nearly represent able operators from a Banach space X to a Banach space Y. These are the operators that map Xvalued uniformly bounded martingales that are Cauchy in ...
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(2004)In this work, the author studies genus zero constant mean curvature (CMC) surfaces, Alexandrovembedded in R3. In the first chapters, the work of Lawson, and also of Pinkall and Polthier is extended and the firstorder ...
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(1990)In Chapter I we shall prove a new upper bound in the linear sieve. Our purpose in Chapter II is to explain our method in greater detail than was done in Chapter I. Let x be a large number. We consider $\pi\sb2$(x)the ...
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(1996)This thesis introduces a new set theory referred to as the graphisomorphism set theory (GST). GST does not satisfy the foundation axiom. Peter Aczel has presented several nonwellfounded (NWF) set theories within a unified ...
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(1989)Consider the nonlinear, singularly perturbed, vector boundary relation problem x$\sp\prime$ = f(t,x,y,$\epsilon$), $\epsilon$y$\sp\prime$ = g(t,x,y,$\epsilon$), L(x(0),y(0),$\epsilon$) = $\alpha\sb0$, R(x(1),y(1),$\epsilon$) ...
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(2009)In this thesis, we apply model theory to Lie theory and geometric group theory. These applications of model theory come via nonstandard analysis. In Lie theory, we use nonstandard methods to prove two results. First, we ...
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(1989)Ideas and techniques from nonstandard theories of measure spaces and Banach spaces are brought together to develop a nonstandard theory of Banach space valued measures. In particular, constructions of countably additive ...
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(1994)We describe an extension of the Bochner integral. Bochner integrable functions can be approximated by simple functions. Using Nonstandard Analysis, we investigate internal simple functions from an internal measure space ...
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(1994)Let f be a meromorphic function in the complex plane C. We consider the normality of the family of integer translations of f, $\{ f(z + n):n = 0,\pm 1,\pm2,\...\}$. If the family is normal on a set G in C, then the set G ...
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(2001)A finite group G is called monomial if every irreducible character of G is induced from a linear character of some subgroup of G. One of the main questions regarding monomial groups is whether or not a normal subgroup N ...
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Now showing items 530549 of 997