Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, 2017 Ursinus College

#### Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, Dave Ruch

*Analysis*

No abstract provided.

Euler's Rediscovery Of E With Instructor Notes, 2017 Ursinus College

#### Euler's Rediscovery Of E With Instructor Notes, Dave Ruch

*Analysis*

No abstract provided.

The Mean Value Theorem, 2017 Ursinus College

An Introduction To A Rigorous Definition Of Derivative, 2017 Ursinus College

#### An Introduction To A Rigorous Definition Of Derivative, Dave Ruch

*Analysis*

No abstract provided.

Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, 2017 Harrisburg University of Science and Technology

#### Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, Emily Wefelmeyer, Mary Beth Backus

*Other Student Works*

The idea that education in America is deteriorating is emotionally charged and controversial. While there is no disputing that education levels in the United States continue to rise, there is also a pervasive notion that this was accomplished by gradually reducing the readability level and general difficulty of textbooks. One tool often employed in the defense of education is the employment of readability indices in the evaluation of textbooks. There are a variety of these readability indices that serve the purpose of indicating a grade level for a particular piece of writing (Kinkaid, et. al., 1975). It’s relatively easy ...

Development And Analysis Of Volume Multi-Sphere Method Model Generation Using Electric Field Fitting, 2017 University of Colorado at Boulder

#### Development And Analysis Of Volume Multi-Sphere Method Model Generation Using Electric Field Fitting, Gabriel J. Ingram

*Aerospace Engineering Sciences Graduate Theses & Dissertations*

Electrostatic modeling of spacecraft has wide-reaching applications such as detumbling space debris in the Geosynchronous Earth Orbit regime before docking, servicing and tugging space debris to graveyard orbits, and Lorentz augmented orbits. The viability of electrostatic actuation control applications relies on faster-than-realtime characterization of the electrostatic interaction. The Volume Multi-Sphere Method (VMSM) seeks the optimal placement and radii of a small number of equipotential spheres to accurately model the electrostatic force and torque on a conducting space object. Current VMSM models tuned using force and torque comparisons with commercially available finite element software are subject to the modeled probe size ...

The Subcritical Phase For A Homopolymer Model, 2017 University of Connecticut

#### The Subcritical Phase For A Homopolymer Model, Iddo Ben-Ari, Hugo Panzo

*Communications on Stochastic Analysis*

No abstract provided.

Convergence Analysis Of A Proximal Point Algorithm For Minimizing Differences Of Functions, 2017 Institute of Research and Development, Duy Tan University

#### Convergence Analysis Of A Proximal Point Algorithm For Minimizing Differences Of Functions, Thai An Nguyen, Mau Nam Nguyen

*Mathematics and Statistics Faculty Publications and Presentations*

Several optimization schemes have been known for convex optimization problems. However, numerical algorithms for solving nonconvex optimization problems are still underdeveloped. A significant progress to go beyond convexity was made by considering the class of functions representable as differences of convex functions. In this paper, we introduce a generalized proximal point algorithm to minimize the difference of a nonconvex function and a convex function. We also study convergence results of this algorithm under the main assumption that the objective function satisfies the Kurdyka– ᴌojasiewicz property.

Approximation Of Solutions To The Mixed Dirichlet-Neumann Boundary Value Problem On Lipschitz Domains, 2017 University of Kentucky

#### Approximation Of Solutions To The Mixed Dirichlet-Neumann Boundary Value Problem On Lipschitz Domains, Morgan F. Schreffler

*Theses and Dissertations--Mathematics*

We show that solutions to the mixed problem on a Lipschitz domain Ω can be approximated in the Sobolev space *H*^{1}(Ω) by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in *H*^{1}(Ω), and we give a rate of convergence. Further, we propose a method of solving the related problem using layer potentials.

Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, 2017 Ursinus College

#### Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, Dave Ruch

*Analysis*

No abstract provided.

Elliptic Curve Cryptography And Quantum Computing, 2017 Ouachita Baptist University

#### Elliptic Curve Cryptography And Quantum Computing, Emily Alderson

*Honors Theses*

In the year 2007, a slightly nerdy girl fell in love with all things math. Even though she only was exposed to a small part of the immense field of mathematics, she knew that math would always have a place in her heart. Ten years later, that passion for math is still burning inside. She never thought she would be interested in anything other than strictly mathematics. However, she discovered a love for computer science her sophomore year of college. Now, she is graduating college with a double major in both mathematics and computer science.

This nerdy girl is me ...

Occupation Time Problem Of Certain Self-Similar Processes Related To The Fractional Brownian Motion, 2017 Université Mohammed Premier

#### Occupation Time Problem Of Certain Self-Similar Processes Related To The Fractional Brownian Motion, Aissa Sghir, Mohamed A. Ouahra, Soufiane Moussaten

*Communications on Stochastic Analysis*

No abstract provided.

The Qq–Bit (Ii): Functional Central Limits And Monotone Representation Of The Azema Martingale, 2017 Università di Roma Tor Vergata

#### The Qq–Bit (Ii): Functional Central Limits And Monotone Representation Of The Azema Martingale, Luigi Accardi, Yun-Gang Lu

*Communications on Stochastic Analysis*

No abstract provided.

Homeomorphic Property Of The Stochastic Flow Of A Natural Equation In Multi-Dimensional Case, 2017 Tahar Moulay University of Saida, Algeria

#### Homeomorphic Property Of The Stochastic Flow Of A Natural Equation In Multi-Dimensional Case, Fatima Benziadi, Abdeldjabbar Kandouci

*Communications on Stochastic Analysis*

No abstract provided.

Extensions Of The Hitsuda–Skorokhod Integral, 2017 University of Mannheim

#### Extensions Of The Hitsuda–Skorokhod Integral, Peter Parczewski

*Communications on Stochastic Analysis*

No abstract provided.

Near-Martingale Property Of Anticipating Stochastic Integration, 2017 Institute of Mathematics, Academia Sinica

#### Near-Martingale Property Of Anticipating Stochastic Integration, C R. Hwang, Hui-Hsiung Kuo, Kimiaki Saitô, Jiayu Zhai

*Communications on Stochastic Analysis*

No abstract provided.

An Option Pricing Model With Memory, 2017 Antioch College, Yellow Springs, Ohio

#### An Option Pricing Model With Memory, Flavia Sancier, Salah Mohammed

*Communications on Stochastic Analysis*

No abstract provided.

The Double Barrier Problem With Double Exponential Jump Diffusion, 2017 University of Mary Washington

#### The Double Barrier Problem With Double Exponential Jump Diffusion, Julius Esunge, Kalev Pärna, Dean Teneng

*Communications on Stochastic Analysis*

No abstract provided.

Compactness Of Isoresonant Potentials, 2017 University of Kentucky

#### Compactness Of Isoresonant Potentials, Robert G. Wolf

*Theses and Dissertations--Mathematics*

Bruning considered sets of isospectral Schrodinger operators with smooth real potentials on a compact manifold of dimension three. He showed the set of potentials associated to an isospectral set is compact in the topology of smooth functions by relating the spectrum to the trace of the heat semi-group. Similarly, we can consider the resonances of Schrodinger operators with real valued potentials on Euclidean space of whose support lies inside a ball of fixed radius that generate the same resonances as some fixed Schrodinger operator, an ``isoresonant" set of potentials. This isoresonant set of potentials is also compact in the topology ...

Chow's Theorem, 2017 Colby College

#### Chow's Theorem, Yohannes D. Asega

*Honors Theses*

We present the proof of Chow's theorem as a corollary to J.P.-Serre's GAGA correspondence theorem after introducing the necessary prerequisites. Finally, we discuss consequences of Chow's theorem.