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2013

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Articles 1 - 30 of 97

Full-Text Articles in Analysis

Students' Perceived Utility Of Precision Taught Calculus, Rebecca-Anne Dibbs, David Glassmeyer, Wafa Yacoub Dec 2013

Students' Perceived Utility Of Precision Taught Calculus, Rebecca-Anne Dibbs, David Glassmeyer, Wafa Yacoub

Faculty Articles

The last decade of calculus research has showed students learn best when lecture is supplemented with thoughtful use of technology and group work; however, educators are given little direction of how they are to balance the already full first semester calculus class. Precision teaching is an instructional model that employs formative assessment to provide information on what topics are understood by students as well as indicate troublesome concepts. With this information, the instructor can adjust class time accordingly by incorporating supplemental activities most beneficial to students. The purpose of this interview study was to explore the perceived utility of precision …


On The Exact Distribution Of The Maximum Of The Exponential Of The Generalized Normal-Inverse Gaussian Process With Respect To A Martingale Measure, Roman V Ivanov Dec 2013

On The Exact Distribution Of The Maximum Of The Exponential Of The Generalized Normal-Inverse Gaussian Process With Respect To A Martingale Measure, Roman V Ivanov

Communications on Stochastic Analysis

No abstract provided.


Local Time Of A Multifractional Gaussian Process, Aissa Sghir Dec 2013

Local Time Of A Multifractional Gaussian Process, Aissa Sghir

Communications on Stochastic Analysis

No abstract provided.


Vertical Martingales, Stochastic Calculus And Harmonic Sections, Simão N Stelmastchuk Dec 2013

Vertical Martingales, Stochastic Calculus And Harmonic Sections, Simão N Stelmastchuk

Communications on Stochastic Analysis

No abstract provided.


Analytically Weak Solutions To Linear Spdes With Unbounded Time-Dependent Differential Operators And An Application, Benedict Baur, Martin Grothaus, Thanh Tan Mai Dec 2013

Analytically Weak Solutions To Linear Spdes With Unbounded Time-Dependent Differential Operators And An Application, Benedict Baur, Martin Grothaus, Thanh Tan Mai

Communications on Stochastic Analysis

No abstract provided.


Generalization Of The Anticipative Girsanov Theorem, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda Dec 2013

Generalization Of The Anticipative Girsanov Theorem, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda

Communications on Stochastic Analysis

No abstract provided.


Mathematical Model Of Heavy Diffusion Particles System With Drift, Vitalii Konarovskyi Dec 2013

Mathematical Model Of Heavy Diffusion Particles System With Drift, Vitalii Konarovskyi

Communications on Stochastic Analysis

No abstract provided.


A New Type Of Reflected Backward Doubly Stochastic Differential Equations, Auguste Aman, Yong Ren Dec 2013

A New Type Of Reflected Backward Doubly Stochastic Differential Equations, Auguste Aman, Yong Ren

Communications on Stochastic Analysis

No abstract provided.


Certain Fractional Integral Operators And The Generalized Incomplete Hypergeometric Functions, H. M. Srivastava, Praveen Agarwal Dec 2013

Certain Fractional Integral Operators And The Generalized Incomplete Hypergeometric Functions, H. M. Srivastava, Praveen Agarwal

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we apply a certain general pair of operators of fractional integration involving Appell’s function F3 in their kernel to the generalized incomplete hypergeometric functions pΓq[z] and pɣq [z], which were introduced and studied systematically by Srivastava et al. in the year 2012. Some interesting special cases and consequences of our main results are also considered.


A New Approach To The Numerical Solution Of Fractional Order Optimal Control Problems, T. Akbarian, M. Keyanpour Dec 2013

A New Approach To The Numerical Solution Of Fractional Order Optimal Control Problems, T. Akbarian, M. Keyanpour

Applications and Applied Mathematics: An International Journal (AAM)

In this article, a new numerical method is proposed for solving a class of fractional order optimal control problems. The fractional derivative is considered in the Caputo sense. This approach is based on a combination of the perturbation homotopy and parameterization methods. The control function u(t) is approximated by polynomial functions with unknown coefficients. This method converts the fractional order optimal control problem to an optimization problem. Numerical results are included to demonstrate the validity and applicability of the method.


Generalized Fractional Integral Of The Product Of Two Aleph-Functions, R. K. Saxena, J. Ram, D. Kumar Dec 2013

Generalized Fractional Integral Of The Product Of Two Aleph-Functions, R. K. Saxena, J. Ram, D. Kumar

Applications and Applied Mathematics: An International Journal (AAM)

This paper is devoted to the study and develops the generalized fractional integral operators for a new special function, which is called Aleph-function. The considered generalized fractional integration operators contain the Appell hypergeometric function F3 as a kernel. We establish two results of the product of two Aleph-functions involving Saigo-Maeda operators. On account of the general nature of the Saigo-Maeda operators and the Aleph-function, some results involving Saigo, Riemann-Liouville and Erdélyi-Kober integral operators are obtained as special cases of the main result.


A Construction That Produces Wallis-Type Formulas, Joshua M. Fitzhugh, David L. Farnsworth Sep 2013

A Construction That Produces Wallis-Type Formulas, Joshua M. Fitzhugh, David L. Farnsworth

Articles

Generalizations of the geometric construction that repeatedly attaches rectangles to a square, originally given by Myer- son, are presented. The initial square is replaced with a rectangle, and also the dimensionality of the construction is increased. By selecting values for the various parameters, such as the lengths of the sides of the original rectangle or rectangular box in dimensions more than two and their relationships to the size of the attached rectangles or rectangular boxes, some interesting formulas are found. Examples are Wallis-type infinite-product formulas for the areas of p-circles with p > 1.


The Generalized Sub-Fractional Brownian Motion, Aissa Sghir Sep 2013

The Generalized Sub-Fractional Brownian Motion, Aissa Sghir

Communications on Stochastic Analysis

No abstract provided.


Stein's Method For Brownian Approximations, L Coutin, L Decreusefond Sep 2013

Stein's Method For Brownian Approximations, L Coutin, L Decreusefond

Communications on Stochastic Analysis

No abstract provided.


A Clark-Ocone Type Formula Under Change Of Measure For Lévy Processes With L^2-Lévy Measure, Ryoichi Suzuki Sep 2013

A Clark-Ocone Type Formula Under Change Of Measure For Lévy Processes With L^2-Lévy Measure, Ryoichi Suzuki

Communications on Stochastic Analysis

No abstract provided.


Identities And Inequalities For Cdo Tranche Sensitivities, Claas Becker, Ambar N Sengupta Sep 2013

Identities And Inequalities For Cdo Tranche Sensitivities, Claas Becker, Ambar N Sengupta

Communications on Stochastic Analysis

No abstract provided.


Positive Harris Recurrence Of The Cir Process And Its Applications, Peng Jin, Vidyadhar Mandrekar, Barbara Rüdiger, Chiraz Trabelsi Sep 2013

Positive Harris Recurrence Of The Cir Process And Its Applications, Peng Jin, Vidyadhar Mandrekar, Barbara Rüdiger, Chiraz Trabelsi

Communications on Stochastic Analysis

No abstract provided.


Itô Formula And Girsanov Theorem For Anticipating Stochastic Integrals, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda Sep 2013

Itô Formula And Girsanov Theorem For Anticipating Stochastic Integrals, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda

Communications on Stochastic Analysis

No abstract provided.


A Bochner-Type Representation Of Positive Definite Mappings On The Dual Of A Compact Group, Herbert Heyer Sep 2013

A Bochner-Type Representation Of Positive Definite Mappings On The Dual Of A Compact Group, Herbert Heyer

Communications on Stochastic Analysis

No abstract provided.


On Optimal Proportional Reinsurance And Investment In A Partial Markovian Regime-Switching Economy, Xin Zhang Sep 2013

On Optimal Proportional Reinsurance And Investment In A Partial Markovian Regime-Switching Economy, Xin Zhang

Communications on Stochastic Analysis

No abstract provided.


Harmonics In The Library, Charles Coppin Jul 2013

Harmonics In The Library, Charles Coppin

Journal of Humanistic Mathematics

Students of traditional calculus courses can discover significant mathematics original to themselves, especially if these courses are taught in a way that allows shafts of mathematical light to shine through. We tell a story of such an incident in the form of a dialogue between two fictional students. Our students, on their own, discover (or rediscover) a well-known problem based on the harmonic series. We believe opportunities for such discoveries are greater if students have had some experience with inquiry-based learning prior to entering a traditional course. More broadly, we aim to demonstrate what can occur when students feel no …


Design Of The Management System Of Port In China Based On The Internet Of Things Technology, Chongwen Li Jul 2013

Design Of The Management System Of Port In China Based On The Internet Of Things Technology, Chongwen Li

World Maritime University Dissertations

No abstract provided.


Analysis Feasibility Vertical And Horozontal Integration On Port Company, Angga Iriano Nugroho Jul 2013

Analysis Feasibility Vertical And Horozontal Integration On Port Company, Angga Iriano Nugroho

World Maritime University Dissertations

No abstract provided.


The Research On New Logistics Integration, Dongzhe Zhang Jul 2013

The Research On New Logistics Integration, Dongzhe Zhang

World Maritime University Dissertations

No abstract provided.


China’S Wood Import Transport Market And Choice Of Ship Size, Hengliang Zhan Jul 2013

China’S Wood Import Transport Market And Choice Of Ship Size, Hengliang Zhan

World Maritime University Dissertations

No abstract provided.


Research On The Impact Of Financial Risks On Coscon, Bing Bai Jul 2013

Research On The Impact Of Financial Risks On Coscon, Bing Bai

World Maritime University Dissertations

No abstract provided.


Single Vehicle Path Optimization Problem Based On The Gis, Xuanfang Bian Jul 2013

Single Vehicle Path Optimization Problem Based On The Gis, Xuanfang Bian

World Maritime University Dissertations

No abstract provided.


The Inspiration Of Foreign Ports' Enlightenment And Development To The Chinese Ports Logistics Development, Jie Liu Jul 2013

The Inspiration Of Foreign Ports' Enlightenment And Development To The Chinese Ports Logistics Development, Jie Liu

World Maritime University Dissertations

No abstract provided.


Analysis On Strategies Of Competition And Cooperation Between Shanghai And Ningbo Port, Yuan Lu Jul 2013

Analysis On Strategies Of Competition And Cooperation Between Shanghai And Ningbo Port, Yuan Lu

World Maritime University Dissertations

No abstract provided.


Reshape Of The Energy Map And Its Implications In The Shipping Industry, Evangelos Fotiadis Jul 2013

Reshape Of The Energy Map And Its Implications In The Shipping Industry, Evangelos Fotiadis

World Maritime University Dissertations

No abstract provided.