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1 
The style of Herman Melville, or the dualities /Zarobila, Charles Mark January 1984 (has links)
No description available.

2 
InBetweennessZhu, Ming January 2009 (has links)
A place for no place is a practice based research project that investigates the notion of inbetween space. The focus of this project is to consider the nature of binary oppositions and the thresholds between, through the designing of memorial space. The key issue of this project is aimed at investigation of the nature of thresholds of dualism, contrasting dualities and binary oppositions.With help of this project, I attempt to discuss a design methodology by balancing the binarization in natural environment in terms of applying their principles to creating the space, meanwhile, making the space from outside Visually the practical part of the exegesis will grow from process of spatial analysis and detailing by consulting with the key spatial binary oppositions of the site specific projects – Flat Alleyway and Wenchuan Earthquake Memorial Park. Spatial arrangement and function, along with their codified details will be domesticated with concerns of the special character of the site and the consideration of scale, function, body movement, interior and exterior decoration aspects of the space. The result will be a cohesive range that represents new spaces by the meaning of InBetweenNess. Heuristic and practical projects are my main methodological approaches. My work does not seek to fix a solution by the notion of inbetween, but open up area of ongoing discovery. The practical spatial design projects are regarded as a process of meditation for a selfdevelopment, which allows me to reconsider, renegotiate, reflect and renew my work throughout the practical process. In this way, hidden spatial codes can be brought out to the surface.

3 
On the Duality of Optimal Control Problems with Stochastic Differential EquationsHuschto, Tony January 2008 (has links)
<p>The main achievement of this work is the development of a duality theory for optimal control problems with stochastic differential equations. Incipient with the HamiltonJacobiBellman equation we established a dual problem to a given stochastic control problem and were also able to generalise the assembled theory.</p>

4 
Target Space Duality with Dilaton and Tachyon FieldRuszczycki, Blazej 21 December 2007 (has links)
We study the target space duality of classical two dimensional sigma models. The models with dilaton and tachyon field are analyzed. As a motivating example the historical electricmagnetic duality is presented. We review the construction of the duality transformation and the integrability conditions for the nonlinear sigma models with target spaces described by general metrics and antisymmetric twoforms. We generalize the formalism for the models whose actions contain the dilaton and tachyon field. For the dilaton field case it is required that the duality is a property solely of the target manifolds, independent of the worldsheet geometry. For both cases the duality transformation is established and the integrability conditions are calculated. The set of restrictions on geometrical data describing the models is obtained, the previously calculated condition on connections on target spaces is maintained in both cases.

5 
On the Duality of Optimal Control Problems with Stochastic Differential EquationsHuschto, Tony January 2008 (has links)
The main achievement of this work is the development of a duality theory for optimal control problems with stochastic differential equations. Incipient with the HamiltonJacobiBellman equation we established a dual problem to a given stochastic control problem and were also able to generalise the assembled theory.

6 
Aspects of SU(24) symmetric field theories and the LinMaldacena geometriesvan Anders, Greg 11 1900 (has links)
Gauge/gravity duality is an important tool for learning about strongly coupled gauge theories. This thesis explores a set of examples of this duality in which the field theories have SU(24) supersymmetry and discrete sets of vacuum solutions. Specifically, we use the duality to propose Lagrangian definitions of type IIA Little String Theory on S⁵ as doublescaling limits of the PlaneWave Matrix Model, maximally supersymmetric YangMills theory
on R x S² and N=4 supersymmetric YangMills theory on R×S³/Zk. We find the supergravity solutions dual to generic vacua of the PlaneWave Matrix Model and maximally supersymmetric YangMills theory on R×S².
We use the supergravity duals to calculate new instanton amplitudes for the PlaneWave Matrix Model at strong coupling. Finally, we study a natural coarsegraining of the vacua, and find that the associated geometries are singular. We define an entropy functional that vanishes for regular geometries, is nonzero for singular geometries, and is maximized by the thermal state.

7 
Aspects of SU(24) symmetric field theories and the LinMaldacena geometriesvan Anders, Greg 11 1900 (has links)
Gauge/gravity duality is an important tool for learning about strongly coupled gauge theories. This thesis explores a set of examples of this duality in which the field theories have SU(24) supersymmetry and discrete sets of vacuum solutions. Specifically, we use the duality to propose Lagrangian definitions of type IIA Little String Theory on S⁵ as doublescaling limits of the PlaneWave Matrix Model, maximally supersymmetric YangMills theory
on R x S² and N=4 supersymmetric YangMills theory on R×S³/Zk. We find the supergravity solutions dual to generic vacua of the PlaneWave Matrix Model and maximally supersymmetric YangMills theory on R×S².
We use the supergravity duals to calculate new instanton amplitudes for the PlaneWave Matrix Model at strong coupling. Finally, we study a natural coarsegraining of the vacua, and find that the associated geometries are singular. We define an entropy functional that vanishes for regular geometries, is nonzero for singular geometries, and is maximized by the thermal state.

8 
Duality and normnumerical rangesSaunders, Benjamin David, January 1975 (has links)
Thesis (Ph. D.)University of WisconsinMadison, 1975. / Vita. Typescript. eContent providerneutral record in process. Description based on print version record. Includes bibliographical references (leaves 4244.).

9 
The Essence of Codata and Its ImplementationsSullivan, Zachary 06 September 2018 (has links)
Data types are a widelyused feature of functional programming languages that
allow programmers to create abstractions and control branching
computations. Instances of data types are introduced by applying one of a
disjoint set of constructors and are eliminated by pattern matching on the
constructor used. Dually, codata types are defined by their destructors, are
introduced by copattern matching on their context, and eliminated by applying
destructors.
We extend motivation for codata types to include adding types that satisfy the
extensional laws and adding an abstraction for constraining clients of code. We
also improve on work implementing codata by developing an untyped compilation
technique for codata that works for both callbyname and callbyvalue
evaluation strategies and scales to simple and indexed type systems. We
demonstrate the practicality of our technique by implementing a prototype
compiler and a Haskell language extension.

10 
New metrics on networks arising from modulus and applications of Fulkerson dualityFernando, Nethali January 1900 (has links)
Doctor of Philosophy / Department of Mathematics / Pietro PoggiCorradini / This thesis contains six chapters. In the first chapter, the continuous and the discrete cases of pmodulus is introduced. We present properties of pmodulus and its connection to classical quantities. We also introduce use Arne Beurling's criterion for extremality to build insight and intuition regarding the modulus. After building an intuitive understanding of the pmodulus, we then proceed to switch perspectives to that of convex analysis. Using the theory of convex analysis, the uniqueness and existence of extremal densities is shown. We end this chapter with the introduction of the probabilistic interpretation of Modulus.
In the second chapter, we introduce the Fulkerson duality. After defining the Fulkerson dual, we will investigate the blocking duality for different families of objects that the NODE research group has been studying and has been established. An important result that connects the Fulkerson dual and modulus is given at the end of this chapter. This important theorem will be used in proving one of the main results that [delta]p (introduced in Chapter 4) is a metric on graphs.
The third chapter will discuss about metrics and ultrametrics on networks. Among these metrics, effective resistance is given special attention because the proof of [delta]p metric also serves as a new proof that effective resistance is a metric on graphs. We define effective resistance and give two different proves that show it is a metric, namely flows and the Laplacian.
Two new families of metrics on graphs that arises through modulus are introduced in the fourth chapter. We also show how the two families are related as the d_p metric is viewed as a snowflaked version of the [delta]p metric. We end this chapter with some numerical examples that proves this connection and also serves as a set of plentiful examples of modulus calculations.
Clutters and blockers is also another topic that is very much related to families of objects. While it has different rules and conditions, the study of clutters and blockers can give more insights to both modulus and clutters. We explore these relations in chapter 5. We provide some examples of clutters and blockers and finally reveal the relationship between the blocker and Fulkerson dual.
Finally, in chapter 6, we end the thesis by presenting some of the open questions that we would like to explore and find answers in the future.
In the second chapter, we introduce the Fulkerson duality. After defining the Fulkerson dual, we will investigate the blocking duality for different families of objects that the NODE research group has been studying and has been established. An important result that connects the Fulkerson dual and modulus is given at the end of this chapter. This important theorem will be used in proving one of the main results that delta_p (introduced in Chapter 4) is a metric on graphs.
The third chapter will discuss about metrics and ultrametrics on networks. Among these metrics, effective resistance is given special attention because the proof of delta_p metric also serves as a new proof that effective resistance is a metric on graphs. We define effective resistance and give two different proves that show it is a metric, namely flows and the Laplacian.
Two new families of metrics on graphs that arises through modulus are introduced in the fourth chapter. We also show how the two families are related as the d_p metric is viewed as a snowflaked version of the delta_p metric. We end this chapter with some numerical examples that proves this connection and also serves as a set of plentiful examples of modulus calculations.
Clutters and blockers is also another topic that is very much related to families of objects. While it has different rules and conditions, the study of clutters and blockers can give more insights to both modulus and clutters. We explore these relations in chapter 5. We provide some examples of clutters and blockers and finally reveal the relationship between the blocker and Fulkerson dual.
Finally, in chapter 6, we end the thesis by presenting some of the open questions that we would like to explore and find answers in the future.

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