Mathematics Commons^™

Create Pretty Documents With Latex!, Evan Brummet, Patrick Davis, Micah Fogel

Faculty Publications & Research

LaTeX is a typesetting system for the educator who wants to create documents with beautifully typeset mathematics. It is free, available for all major platforms, and cross-platform compatible.

In this workshop, we will introduce participants to LaTeX, and then demonstrate how to typeset a variety of documents (e.g., tests or presentations). We are happy to tailor the demonstration to answer any specific questions raised by participants.

Please bring your laptop to get hands-on experience.

This web page contains links to the handouts and the sample files: staff.imsa.edu/~fogel/latex

General Error-Based Active Disturbance Rejection Control For Swift Industrial Implementations, R. Madonski, S. Shao, H. Zhang, Z. Gao, J. Yang, S. Li

Mathematics and Statistics Faculty Publications

In this article, a typical 2DOF active disturbance rejection control (ADRC) design is restructured into a 1DOF form, thus making it compatible with standard industrial control function blocks and enhancing its market competitiveness. This methodology integrates the previously separated components, such as the profile generator, state observer, feedback controller, feedforward terms, and disturbance rejection, into one unified structure. In doing so, certain ADRC components can be made simpler (or even obsolete) without sacrificing the nominal control performance, which further simplifies the control synthesis and tuning. A generalized version of the error-driven design is adopted and rigorously proved here using the …

Smale Strategies For The $N$-Person Iterated Prisoner's Dilemma, Ethan Akin, Sławomir Plaskacz, Joanna Zwierzchowska

Mathematics and Statistics Faculty Research & Creative Works

Adapting methods introduced by Steven Smale, we describe good strategies for a symmetric version of the Iterated Prisoner's Dilemma with n players.

On The Adjoint Markov Policies In Stochastic Differential Games, Nicolai V. Krylov

Communications on Stochastic Analysis

No abstract provided.

A Nonlocal Approach To The Quantum Kolmogorov Backward Equation And Links To Noncommutative Geometry, Will Hicks

Communications on Stochastic Analysis

No abstract provided.

Regularity Of The Local Time Of Diffusions On The Positive Real Line With Reflection At Zero, Masafumi Hayashi

Communications on Stochastic Analysis

No abstract provided.

On The Spectrum Of Self-Adjoint Lévy Generators, David Applebaum

Communications on Stochastic Analysis

No abstract provided.

On A Stochastic 2d Cahn-Hilliard-Navier-Stokes System Driven By Jump Noise, G. Deugoué, T. Tachim Medjo

Communications on Stochastic Analysis

No abstract provided.

Forgotten Women In Adventism, Caitlin Jankiewicz

Lake Union Herald

No abstract provided.

Orientation Dependent Elastic Stress Concentration At Tips Of Slender Objects Translating In Viscoelastic Fluids, Chuanbin Li, Becca Thomases, Robert D. Guy

Mathematics Sciences: Faculty Publications

Elastic stress concentration at the tips of long slender objects moving in viscoelastic fluids has been observed in numerical simulations, but despite the prevalence of flagellated motion in complex fluids in many biological functions, the physics of stress accumulation near the tips has not been analyzed. Here, we theoretically investigate elastic stress development at the tips of slender objects by computing the leading-order viscoelastic correction to the equilibrium viscous flow around long cylinders, using the weak-coupling limit. In this limit, nonlinearities in the fluid are retained, allowing us to study the biologically relevant parameter regime of high Weissenberg number. We …

From Big Science To “Deep Science”, Florentin Smarandache, Victor Christianto

Branch Mathematics and Statistics Faculty and Staff Publications

The Standard Model of particle physics has accomplished a great deal including the discovery of Higgs boson in 2012. However, since the supersymmetric extension of the Standard Model has not been successful so far, some physicists are asking what alternative deeper theory could be beyond the Standard Model? This article discusses the relationship between mathematics and physical reality and explores the ways to go from Big Science to “Deep Science”.

Two-Pebbling And Odd-Two-Pebbling Are Not Equivalent, Charles A. Cusack, Airat Bekmetjev, Mark Powers

Faculty Publications

Let G be a connected graph. A configuration of pebbles assigns a nonnegative integer number of pebbles to each vertex of G. A move consists of removing two pebbles from one vertex and placing one pebble on an adjacent vertex. A configuration is solvable if any vertex can get at least one pebble through a sequence of moves. The pebbling number of G, denoted π(G), is the smallest integer such that any configuration of π(G) pebbles on G is solvable. A graph has the two-pebbling property if after placing more than 2π(G) -- q pebbles on G …

An Approach To Determining Customer Satisfaction In Traditional Serbian Restaurants, Florentin Smarandache, Dragisa Stanujkic, Darjan Karabasevic, Edmundas Kazimieras Zavadskas, Fausto Cavallaro

Branch Mathematics and Statistics Faculty and Staff Publications

The aim of this paper is to make a proposal for an easy–to–use approach to the evaluation of customer satisfaction in restaurants. In order to provide a reliable way to collect respondents’ real attitudes, an approach based on the use of smaller number of evaluation criteria and interactive questionnaire created in a spreadsheet file is proposed in this paper, whereby an easy-to-understand and simple-touse procedure is proposed for determining weights of criteria. In addition to the said, the proposed approach applies the simplified SERVQUAL-based approach, for which reason a simplified version of the Weighted Sum Method based on the decision …

Some Properties Of The Inhomogeneous Panjer Process, Ana María Beltrán Cortés, José Alfredo Jiménez Moscoso

Communications on Stochastic Analysis

No abstract provided.

Second Order Stochastic Partial Integro Differential Equations With Delay And Impulses, M.V.S.S.B.B.K. Sastry, G.V.S.R. Deekshitulu

Communications on Stochastic Analysis

No abstract provided.

Gluing Semigroups And Strongly Indispensable Free Resolutions, Mesut Sahin, Leah Gold Stella

Mathematics and Statistics Faculty Publications

We study strong indispensability of minimal free resolutions of semigroup rings focusing on the operation of gluing used in literature to take examples with a special property and producenew ones. We give a naive condition to determine whether gluing of two semigroup rings has astrongly indispensable minimal free resolution. As applications, we determine simple gluings of 3-generated non-symmetric, 4-generated symmetric and pseudo symmetric numerical semigroups as well as obtain infinitely many new complete intersection semigroups of any embedding dimensions, having strongly indispensable minimal free resolutions.

Arithmetic (Book Review), Calvin Jongsma

Faculty Work Comprehensive List

Reviewed Title: Arithmetic by Paul Lockhart. Cambridge, MA: Harvard University Press, 2017. 223 pp. ISBN: 9780674972230.

Measurement (Book Review), Calvin Jongsma

Faculty Work Comprehensive List

Reviewed Title: Measurement by Paul Lockhart. Cambridge, MA: Harvard University Press, 2012. 407 pp. ISBN: 9780674057555.

A Mathematician's Lament: How School Cheats Us Out Of Our Most Fascinating And Imaginative Art Form (Book Review), Calvin Jongsma

Faculty Work Comprehensive List

Reviewed Title: A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form by Paul Lockhart. New York: Bellevue Literary Press, 2009. 144 pp. ISBN: 9781934137178.

Some Results Of Double Sequences In 2-Normed And N-Normed Spaces, P. R. Kavyasree, B. Surender Reddy

Applications and Applied Mathematics: An International Journal (AAM)

The primary purpose of this paper is to introduce the notion of double sequences in 2-normed space. We provide a simple way to derive a norm from the standard 2-norm by using double sequences when a 2-normed space is given. Equivalence relation between derived norm and the usual norm are established. Using this derived norm, we examine the completeness property of a 2-normed space and we extend the results to n-normed spaces.