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2017

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Articles 61 - 79 of 79

Full-Text Articles in Analysis

The Mean Value Theorem, Dave Ruch Jan 2017

The Mean Value Theorem, Dave Ruch

Analysis

No abstract provided.


Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, Emily Wefelmeyer, Mary Beth Backus Jan 2017

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 to …


Euler's Rediscovery Of E With Instructor Notes, Dave Ruch Jan 2017

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

Analysis

No abstract provided.


Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch Jan 2017

Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch

Analysis

No abstract provided.


An Introduction To A Rigorous Definition Of Derivative, Dave Ruch Jan 2017

An Introduction To A Rigorous Definition Of Derivative, Dave Ruch

Analysis

No abstract provided.


Bolzano On Continuity And The Intermediate Value Theorem, Dave Ruch Jan 2017

Bolzano On Continuity And The Intermediate Value Theorem, Dave Ruch

Analysis

No abstract provided.


Homeomorphic Property Of The Stochastic Flow Of A Natural Equation In Multi-Dimensional Case, Fatima Benziadi, Abdeldjabbar Kandouci Jan 2017

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.


Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro Jan 2017

Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro

Theses and Dissertations

Einstein's field equations are a system of ten partial differential equations. For a special class of spacetimes known as Gowdy spacetimes, the number of equations is reduced due to additional structure of two dimensional isometry groups with mutually orthogonal Killing vectors. In this thesis, we focus on a particular model of Gowdy spacetimes known as the polarized T3 model, and provide an explicit solution to Einstein's equations.


Occupation Time Problem Of Certain Self-Similar Processes Related To The Fractional Brownian Motion, Aissa Sghir, Mohamed A. Ouahra, Soufiane Moussaten Jan 2017

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.


Extensions Of The Hitsuda–Skorokhod Integral, Peter Parczewski Jan 2017

Extensions Of The Hitsuda–Skorokhod Integral, Peter Parczewski

Communications on Stochastic Analysis

No abstract provided.


The Double Barrier Problem With Double Exponential Jump Diffusion, Julius Esunge, Kalev Pärna, Dean Teneng Jan 2017

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

Communications on Stochastic Analysis

No abstract provided.


Convergence Analysis Of A Proximal Point Algorithm For Minimizing Differences Of Functions, Thai An Nguyen, Mau Nam Nguyen Jan 2017

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.


Compactness Of Isoresonant Potentials, Robert G. Wolf Jan 2017

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 …


Approximation Of Solutions To The Mixed Dirichlet-Neumann Boundary Value Problem On Lipschitz Domains, Morgan F. Schreffler Jan 2017

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 H1(Ω) by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in H1(Ω), and we give a rate of convergence. Further, we propose a method of solving the related problem using layer potentials.


Curiozităţi Ale Funcţiilor Supermatematice, Florentin Smarandache, Mircea Eugen Selariu Jan 2017

Curiozităţi Ale Funcţiilor Supermatematice, Florentin Smarandache, Mircea Eugen Selariu

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.


The Qq–Bit (Ii): Functional Central Limits And Monotone Representation Of The Azema Martingale, Luigi Accardi, Yun-Gang Lu Jan 2017

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.


The Subcritical Phase For A Homopolymer Model, Iddo Ben-Ari, Hugo Panzo Jan 2017

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

Communications on Stochastic Analysis

No abstract provided.


Near-Martingale Property Of Anticipating Stochastic Integration, C R. Hwang, Hui-Hsiung Kuo, Kimiaki Saitô, Jiayu Zhai Jan 2017

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, Flavia Sancier, Salah Mohammed Jan 2017

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

Communications on Stochastic Analysis

No abstract provided.