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This paper develops a flexibility management framework for space logistics mission planning under uncertainty through decision rules and multi-stage stochastic programming. It aims to add built-in flexibility to space architectures in the…

Optimization and Control · Mathematics 2025-08-27 Hao Chen , Brian Gardner , Paul Grogan , Koki Ho

The network approach became a widely used tool to understand the behaviour of complex systems in the last decade. We start from a short description of structural rigidity theory. A detailed account on the combinatorial rigidity analysis of…

Biological Physics · Physics 2012-12-04 Merse E. Gaspar , Peter Csermely

This article reviews the current state of teaching and learning mathematical modeling in the context of sustainable development goals for education at the tertiary level. While ample research on mathematical modeling education and published…

History and Overview · Mathematics 2023-07-26 N. Karjanto

This article focuses on the application of model development and opening the source code available and implemented by the Free Software and Open Source FLOSS to the instructional and teaching has both mathematics and computer by the…

Mathematical Software · Computer Science 2014-01-07 K. I. A. Derouiche

These few pages briefly present the way in which Activity Theory has been adopted for several years now by French researchers in didactics of mathematics and has been adapted to study the learning of school mathematics in relation with the…

Physics Education · Physics 2019-05-08 Maha Abboud-Blanchard , Aline Robert , Janine Rogalski , Fabrice Vandebrouck

Modern demands of the statistics profession call for reimagining statistics training. The discipline needs to attract and develop students who are effective as real-world problem solvers, interdisciplinary collaborators, communicators,…

Other Statistics · Statistics 2023-06-16 Camden L. Lopez

In this paper we survey the primary research, both theoretical and applied, in the area of Robust Optimization (RO). Our focus is on the computational attractiveness of RO approaches, as well as the modeling power and broad applicability of…

Optimization and Control · Mathematics 2010-10-27 Dimitris Bertsimas , David B. Brown , Constantine Caramanis

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

Applications · Statistics 2025-06-17 Michael R. Powers , Jiaxin Xu

Despite widespread calls for the incorporation of mathematical modeling into the undergraduate biology curriculum, there is lack of a common understanding around the definition of modeling, which inhibits progress. In this paper, we extend…

A growing number of students are completing undergraduate degrees in statistics and entering the workforce as data analysts. In these positions, they are expected to understand how to utilize databases and other data warehouses, scrape data…

Other Statistics · Statistics 2020-07-21 Johanna Hardin , Roger Hoerl , Nicholas J. Horton , Deborah Nolan

In this paper we provide an exhaustive survey of the current state of the mathematics of filtration enlargement and an interpretation of the key results of the literature from the viewpoint of mathematical finance. The emphasis is on…

Mathematical Finance · Quantitative Finance 2023-03-08 Karen Grigorian , Robert A. Jarrow

This course, intended for undergraduates familiar with elementary calculus and linear algebra, introduces the extension of differential calculus to functions on more general vector spaces, such as functions that take as input a matrix and…

History and Overview · Mathematics 2025-01-28 Paige Bright , Alan Edelman , Steven G. Johnson

We study possibilities for semantic and syntactic rigidity, i.e., the rigidity with respect to automorphism group and with respect to definable closure. Variations of rigidity and their degrees are studied in general case, for special…

Logic · Mathematics 2023-07-26 Sergey V. Sudoplatov

Undergraduate graders are frequently important contributors to the teaching team in post-secondary education settings. This study set out to investigate agreement for a team of undergraduate graders as they acquired training and experience…

Other Statistics · Statistics 2024-10-24 Matthew D. Beckman , Sean Burke , Jack Fiochetta , Benjamin Fry , Susan E. Lloyd , Luke Patterson , Elle Tang

Mathematical literacy plays an important role in supporting individuals to fulfil their professional roles in modern society. The affordances of mobile technologies as well as the emergence of new theories in mobile learning have the…

Computers and Society · Computer Science 2016-06-09 Zaenal Abidin , Anuradha Mathrani , David Parsons , Suriadi Suriadi

In this pedagogical text aimed at those wanting to start thinking about or brush up on probabilistic inference, I review the rules by which probability distribution functions can (and cannot) be combined. I connect these rules to the…

Data Analysis, Statistics and Probability · Physics 2012-05-22 David W. Hogg

Instructors of statistics who teach non-statistics majors possess varied academic backgrounds, and hence it is reasonable to expect variability in their content knowledge, and pedagogical approach. The aim of this study was to determine the…

Methodology · Statistics 2010-07-20 Rossi A. Hassad

The rapid advances in technology over the last decade have significantly altered the nature of engineering knowledge and skills required in the modern industries. In response to the changing professional requirements, engineering…

History and Overview · Mathematics 2022-07-12 Firuz Kamalov , Ho-Hon Leung

Robust policies enable reinforcement learning agents to effectively adapt to and operate in unpredictable, dynamic, and ever-changing real-world environments. Factored representations, which break down complex state and action spaces into…

Machine Learning · Computer Science 2024-09-20 Panayiotis Panayiotou , Özgür Şimşek

We detail an experimental programme we have been testing in our university. Our Advanced Hackspace, attempts to give all members of the university, from students to technicians, free access to the means to develop their own…

Physics Education · Physics 2020-06-30 Nick S. Jones , Oscar Ces