Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, 2017 Colorado State University-Pueblo

#### Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett

*Analysis*

No abstract provided.

The Definite Integrals Of Cauchy And Riemann, 2017 Ursinus College

#### The Definite Integrals Of Cauchy And Riemann, Dave Ruch

*Analysis*

Rigorous attempts to define the definite integral began in earnest in the early 1800's. One of the pioneers in this development was A. L. Cauchy (1789-1857). In this project, students will read from his 1823 study of the definite integral for continuous functions . Then students will read from Bernard Riemann's 1854 paper, in which he developed a more general concept of the definite integral that could be applied to functions with infinite discontinuities.

The Importance Of Inhaler Technique In Measuring And Calculating Inhaler Adherence, And Its Clinical Outcomes, 2017 Royal College of Surgeons in Ireland

#### The Importance Of Inhaler Technique In Measuring And Calculating Inhaler Adherence, And Its Clinical Outcomes, Imran Sulaiman

*PhD theses*

Depending on the population studied, cross-sectional observational studies suggest that between 14%-90% of patients do not use their pressurized metered dose inhaler correctly, while 50-60% misuse a dry powder inhaler. This means that unless incorrect technique is acounted for a significant underestimation of how much medication the person actually obtained may be made.

The aim of this thesis was to objectively determine the frequency and importance of inhaler technique errors and to combine these with inhaler use to provide an acurate method of calculating adherence. I then investigated different patterns of inhaler use, determinants of inhaler use and the ...

An Optimal Execution Problem With S-Shaped Market Impact Functions, 2017 Association of Mathematical Finance Laboratory

#### An Optimal Execution Problem With S-Shaped Market Impact Functions, Takashi Kato

*Communications on Stochastic Analysis*

No abstract provided.

Solutions Of The System Of Operator Equations $Bxa=B=Axb$ Via The *-Order, 2017 Ferdowsi University of Mashhad

#### Solutions Of The System Of Operator Equations $Bxa=B=Axb$ Via The *-Order, Mehdi Vosough, Mohammad Sal Moslehian

*Electronic Journal of Linear Algebra*

In this paper, some necessary and sufficient conditions are established for the existence of solutions to the system of operator equations $BXA=B=AXB$ in the setting of bounded linear operators on a Hilbert space, where the unknown operator $X$ is called the inverse of $A$ along $B$. After that, under some mild conditions, it is proved that an operator $X$ is a solution of $BXA=B=AXB$ if and only if $B \stackrel{*}{ \leq} AXA$, where the $*$-order $C\stackrel{*}{ \leq} D$ means $CC^*=DC^*, C^*C=C^*D$. Moreover, the general solution of the equation above is obtained ...

Weak Factorizations Of The Hardy Space H1(RN) In Terms Of Multilinear Riesz Transforms, 2017 Washington University in St. Louis

#### Weak Factorizations Of The Hardy Space H1(RN) In Terms Of Multilinear Riesz Transforms, Ji Li, Brett D. Wick

*Mathematics Faculty Publications*

This paper provides a constructive proof of the weak factorization of the classical Hardy space in terms of multilinear Riesz transforms. As a direct application, we obtain a new proof of the characterization of (the dual of ) via commutators of the multilinear Riesz transforms.

Bitcoin Volatility And Currency Acceptance: A Time-Series Approach, 2017 Union College - Schenectady, NY

#### Bitcoin Volatility And Currency Acceptance: A Time-Series Approach, Francis Rocco

*Honors Theses*

Virtual currencies emerged in 2009 as alternatives to traditional methods of payment, offering faster transaction speeds and increased privacy. The prime example of these currencies is Bitcoin. Prior literature in the past five years has generally predicted that bitcoin would fail to supplant an existing widely traded currency, but the volatility of the currency has been decreasing since then. I test Dowd and Greenaway’s (1993) currency acceptance model using recent data on Bitcoin, including Bitcoin volatility. This paper will show whether Bitcoin's ability to act as a store of value and its level of price volatility affect the ...

Spatial Ergodicity Of The Harris Flows, 2017 Institute of Mathematics NAS of Ukraine

#### Spatial Ergodicity Of The Harris Flows, E.V. Glinyanaya

*Communications on Stochastic Analysis*

No abstract provided.

Statistical Analysis Of The Non-Ergodic Fractional Ornstein–Uhlenbeck Process Of The Second Kind, 2017 Cadi Ayyad University

#### Statistical Analysis Of The Non-Ergodic Fractional Ornstein–Uhlenbeck Process Of The Second Kind, Brahim El Onsy, Khalifa Es-Sebaiy, Ciprian A. Tudor

*Communications on Stochastic Analysis*

No abstract provided.

Mixed Strategies For Deterministic Differential Games, 2017 Brown University

#### Mixed Strategies For Deterministic Differential Games, Wendell H. Fleming, Daniel Hernandez-Hernandez

*Communications on Stochastic Analysis*

No abstract provided.

Stationary Solutions Of Stochastic Partial Differential Equations In The Space Of Tempered Distributions, 2017 Tata Institute of Fundamental Research

#### Stationary Solutions Of Stochastic Partial Differential Equations In The Space Of Tempered Distributions, Suprio Bhar

*Communications on Stochastic Analysis*

No abstract provided.

Poisson Approximation Of Rademacher Functionals By The Chen-Stein Method And Malliavin Calculus, 2017 Ruhr University Bochum

#### Poisson Approximation Of Rademacher Functionals By The Chen-Stein Method And Malliavin Calculus, Kai Kronkowski

*Communications on Stochastic Analysis*

No abstract provided.

Fractal Behavior Of Multivariate Operator-Self-Similar Stable Random Fields, 2017 Heinrich-Heine-Universität Düsseldorf

#### Fractal Behavior Of Multivariate Operator-Self-Similar Stable Random Fields, Ercan Sönmez

*Communications on Stochastic Analysis*

No abstract provided.

A Note On Evolution Systems Of Measures Of Stochastic Differential Equations In Infinite Dimensional Hilbert Spaces, 2017 University of Quynhon

#### A Note On Evolution Systems Of Measures Of Stochastic Differential Equations In Infinite Dimensional Hilbert Spaces, Thanh Tan Mai

*Communications on Stochastic Analysis*

No abstract provided.

On Infinite Stochastic And Related Matrices, 2017 Volterra Center, Roma

#### On Infinite Stochastic And Related Matrices, Andreas Boukas, Philip Feinsilver, Anargyros Fellouris

*Communications on Stochastic Analysis*

No abstract provided.

Spaces Of Dirichlet Series With The Complete Pick Property, 2017 Washington University in St Louis

#### Spaces Of Dirichlet Series With The Complete Pick Property, John E. Mccarthy, Orr Moshe Shalit

*Mathematics Faculty Publications*

We consider reproducing kernel Hilbert spaces of Dirichlet series with kernels of the form k(s,u)=∑a_{n}n^{−s−u¯}, and characterize when such a space is a complete Pick space. We then discuss what it means for two reproducing kernel Hilbert spaces to be “the same”, and introduce a notion of weak isomorphism. Many of the spaces we consider turn out to be weakly isomorphic as reproducing kernel Hilbert spaces to the Drury–Arveson space H_{d}^{2} in *d* variables, where *d* can be any number in {1, 2,...,∞}, and in particular their multiplier algebras are ...

Topological Data Analysis: Giving Data Shape, 2017 Carroll College, Helena, MT

#### Topological Data Analysis: Giving Data Shape, Dylan Allen

*Mathematics, Engineering and Computer Science Undergraduate Theses*

Topological Data Analysis (TDA) combines topology and data analytics which offers a new perspective when analyzing data. More so, TDA is capable of providing shape to data that otherwise may be difficult to visualize. In this thesis we provide a brief overview of an algorithm called MAPPER. We analyze two data sets, using statistical techniques and TDA. In the first data set TDA provides a summary where areas with high crime rate are noticeably separate from low crime rates. In the second data set TDA correctly diagnosed benign and malignant tumors in subsets of patients with 100% accuracy. In addition ...

Observations On Convexity, 2017 Stephen F Austin State University

#### Observations On Convexity, Chad A. Huckaby

*Electronic Theses and Dissertations*

This thesis will explore convexity as it pertains to sets of complex-valued functions. These include preliminary looks at established linear and polynomially convex hulls, along with the development of new types of convex hulls. These types will include, but are not limited to the hulls determined by inversions, shift inversions, and Mobius transformations. A convex hull must be preceded by the set of functions involved. These hulls are the smallest convex sets that contain the original set. Justifications and precise definitions are included within the body of the work.

The Loewner Equation And Weierstrass' Function, 2017 University of Tennessee, Knoxville

#### The Loewner Equation And Weierstrass' Function, Gavin Ainsley Glenn

*Chancellor’s Honors Program Projects*

No abstract provided.

Jet-Hadron Correlations Relative To The Event Plane Pb--Pb Collisions At The Lhc In Alice, 2017 University of Tennessee, Knoxville

#### Jet-Hadron Correlations Relative To The Event Plane Pb--Pb Collisions At The Lhc In Alice, Joel Anthony Mazer

*Doctoral Dissertations*

In relativistic heavy ion collisions at the Large Hadron Collider (LHC), a hot, dense and strongly interacting medium known as the Quark Gluon Plasma (QGP) is produced. Quarks and gluons from incoming nuclei collide to produce partons at high momenta early in the collisions. By fragmenting into collimated sprays of hadrons, these partons form 'jets'. Within the framework of perturbative Quantum Chromodynamics (pQCD), jet production is well understood in pp collisions. We can use jets measured in pp interactions as a baseline reference for comparing to heavy ion collision systems to detect and study jet quenching. The jet quenching mechanism ...