Physical Sciences and Mathematics Commons^™

Robust 𝒍𝟏 And 𝒍∞ Solutions Of Linear Inequalities, Maziar Salahi

Applications and Applied Mathematics: An International Journal (AAM)

Infeasible linear inequalities appear in many disciplines. In this paper we investigate the 𝑙₁ and 𝑙_∞ solutions of such systems in the presence of uncertainties in the problem data. We give equivalent linear programming formulations for the robust problems. Finally, several illustrative numerical examples using the cvx software package are solved showing the importance of the robust model in the presence of uncertainties in the problem data.

Density Dependent Utilities With Transaction Costs, Eriyoti Chikodza, Julius N Esunge

Communications on Stochastic Analysis

No abstract provided.

Mrm-Applicable Measures For The Power Function Of The Second Order, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli

Communications on Stochastic Analysis

No abstract provided.

The Minimal Martingale Measure For The Price Process With Poisson Shot Noise Jumps, Jun Yan

Communications on Stochastic Analysis

No abstract provided.

Consistent Price Systems For Bounded Processes, Florian Maris, Eric Mbakop, Hasanjan Sayit

Communications on Stochastic Analysis

No abstract provided.

Changes Of Measure And Representations Of The First Hitting Time Of A Bessel Process, Gerardo Hernandez-Del-Valle

Communications on Stochastic Analysis

No abstract provided.

Intraday Empirical Analysis Of Electricity Price Behaviour, Eckhard Platen, Jason West

Communications on Stochastic Analysis

No abstract provided.

A Martingale Representation For The Maximum Of A Lévy Process, Bruno Rémillard, Jean-François Renaud

Communications on Stochastic Analysis

No abstract provided.

A Connection Between The Poissonian Wick Product And The Discrete Convolution, Alberto Lanconelli, Luigi Sportelli

Communications on Stochastic Analysis

No abstract provided.

Stochastic Analysis Of Backward Tidal Dynamics Equation, Hong Yin

Communications on Stochastic Analysis

No abstract provided.

The Principle Of Linearized Stability For Size-Structured Population Models, M. El-Doma

Applications and Applied Mathematics: An International Journal (AAM)

The principle of linearized stability for size-structured population dynamics models is proved giving validity to previous stability results reported in, for example, El-Doma (2008-1). In particular, we show that if all the roots of the characteristic equation lie to the left of the imaginary axis then the steady state is locally exponentially stable, and on the other hand, if there is at least one root that lies to the right of the imaginary axis then the steady state is unstable. We also point out cases when there is resonance

Pattern Avoiding Partitions, Sequence A054391 And The Kernel Method, Toufik Mansour, Mark Shattuck

Applications and Applied Mathematics: An International Journal (AAM)

Sequence A054391 in OEIS, which we will denote by a_n , counts a certain two-pattern avoidance class of the permutations of size n . In this paper, we provide additional combinatorial interpretations for these numbers in terms of finite set partitions. In particular, we identify six classes of the partitions of size n , all of which have cardinality a_n and each avoiding two classical patterns. We use both algebraic and combinatorial methods to establish our results. In one apparently more difficult case, to show the result, we make use of the kernel method in solving a system …

A New Algorithm For Solving Shortest Path Problem On A Network With Imprecise Edge Weight, Amit Kumar, Manjot Kumar

Applications and Applied Mathematics: An International Journal (AAM)

Nayeem and Pal (Shortest path problem on a network with imprecise edge weight, Fuzzy Optimization and Decision Making 4, 293-312, 2005) proposed a new algorithm for solving shortest path problem on a network with imprecise edge weight. In this paper the shortcomings of the existing algorithm, (Nayeem and Pal, 2005) are pointed out and to overcome these shortcomings a new algorithm is proposed. To show the advantages of the proposed algorithm over existing algorithm the numerical examples presented in (Nayeem and Pal, 2005) are solved using the proposed algorithm and obtained results are discussed.

Lessons Learned As A Novice Researcher: A Pilot Study In Mathematics Education, Nicole L. Fonger

The Hilltop Review

The lessons we learn in life are often catalyzed by events or happenings that we experience and that subsequently change us in some way. Life as a graduate student is replete with diverse experiences that mold and shape one‘s outlook on teaching, learning, and disciplined inquiry. As a doctoral candidate, my role as a novice researcher is increasingly budding with growth and my responsibilities to design and conduct research have engendered some important lessons. Often confined to private or classroom conversations with graduate students and faculty members, the lessons I have learned as a novice researcher seem worth sharing to …

Stationary Distributions Of The Bernoulli Type Galton-Watson Branching Process With Immigration, Yoshinori Uchimura, Kimiaki Saitô

Communications on Stochastic Analysis

No abstract provided.

Twin Mrm-Triples In Multiplicative Renormalization Method, Izumi Kubo, Hui-Hsiung Kuo

Communications on Stochastic Analysis

No abstract provided.

Approximations Of Fractional Stochastic Differential Equations By Means Of Transport Processes, Johanna Garzón, Luis G Gorostiza, Jorge A León

Communications on Stochastic Analysis

No abstract provided.

Risk Indifference Pricing Of Functional Claims Of The Yield Surface In The Presence Of Partial Information, Ta Thi Kieu An, Frank Proske, Mark Rubtsov

Communications on Stochastic Analysis

No abstract provided.

A Stochastic Lagrangian Particle Model And Nonlinear Filtering For Three Dimensional Euler Flow With Jumps, Sivaguru S Sritharan, Meng Xu

Communications on Stochastic Analysis

No abstract provided.

Weak Convergence For Approximation Of American Option Prices, Weiping Li, Mei Xing

Communications on Stochastic Analysis

No abstract provided.

Cornish-Fisher Expansions For Poisson And Negative Binomial Processes, Christopher S Withers, Saralees Nadarajah

Communications on Stochastic Analysis

No abstract provided.

Short-Time Asymptotics Of One-Dimensional Harris Flows, Alexander Shamov

Communications on Stochastic Analysis

No abstract provided.

General Alpha-Wiener Bridges, Mátyás Barczy, Peter Kern

Communications on Stochastic Analysis

No abstract provided.

Final Exam, Robert Dawson

Journal of Humanistic Mathematics

When setting an examination, the instructor should always keep in mind who is going to be writing it!

I Am A Number, Sarah Glaz

Journal of Humanistic Mathematics

No abstract provided.

A Mathematician Weighs In On The Evolution Debate, Kris H. Green

Journal of Humanistic Mathematics

There are a variety of reasons underlying the lack of public acceptance for the theory of evolution in the United States. An overlooked cause is related to problems with the mathematics curriculum in the K-12 setting. In this essay, we examine this relationship and propose changes to the mathematics curriculum that could improve mathematical thinking while also providing a basis for understanding theories, like evolution, that are poorly understood.

On Doing Mathematics, Sue Vanhattum

Journal of Humanistic Mathematics

Who is a mathematician? What does it mean to do mathematics? I discuss my process in solving a math problem, and what it meant to me.

A Math Major, Polya, Invention, And Discovery, Susan D'Agostino

Journal of Humanistic Mathematics

An assistant professor of mathematics presents a nonmathematical application of George Polya’s problem-solving strategies. In doing so, she suggests that Polya’s ideas concerning invention and discovery apply to the world beyond the math classroom.

Pedagogy On The Ethnomathematics--Epistemology Nexus: A Manifesto, Ilhan M. Izmirli

Journal of Humanistic Mathematics

In this paper, we will elaborate on a pronouncement that should be at the onset of any study in epistemology and ethnomathematics, namely, we will argue that learners do think mathematically and it is our responsibility as educators to recognize and appreciate their modes of mathematical reasoning.

We will conduct our study in five parts. Following a brief introduction, in the second part, we will briefly discuss some of the critical tenets of epistemology especially as it applies to mathematics. The third part will be devoted to elucidating the basic nomenclature and hypotheses associated with ethnomathematics. In the fourth part …

Parts Of The Whole: An Algebra Lesson, Dorothy Wallace

Numeracy

This column draws on research of Eon Harper to demonstrate how an understanding of his proposed stages of algebra acquisition would inform a systemic overhaul of algebra education. Harper's stages also explain why students may pass a series of algebra courses yet still be unable to make sense of calculus, as well as offering insight on what aspects of algebra support quantitative literacy.