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Found 4 Results
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MODELS LINKING FUNCTIONAL REDUNDANCY AND HABITAT COMPLEXITY

Functional redundancy is the number of species that perform a given function in a community. In recent years, human activity simplifies many habitats, including human guts, soils and oceans. By choosing less complex and varied diets, for example, we decrease the number of different chemicals available to our gut microbes, decreasing gut microbiome diversity [Read More...]

Presenter: Sandra A. Tsiorintsoa, Clemson University
Authors: Sandra A. Tsiorintsoa, Sharon Bewick, Matthew Macauley
Symposium Year: 2023
Session: Math for All Special Session [Organized by Robyn Brooks, Swati Patel, and Padi Fuster]
Presentation Time: October 1, 2023; 9:45 am

Bridging the Gap: Exploring the Mathematical Interplay between Orbital Debris Mitigation and Satellite Communication Theory

Beginning with an introduction to the challenges posed by orbital debris and the critical need for mitigation measures, we will explore the dynamics of orbital debris, considering factors such as gravitational forces, atmospheric drag, and collision probabilities. Mathematical models are presented to understand the behavior and propagation of debris, [Read More...]

Presenter: Prisha Sadwani, Olin College of Engineering
Authors: Prisha Sadhwani
Symposium Year: 2023
Session: Math for All Special Session [Organized by Robyn Brooks, Swati Patel, and Padi Fuster]
Presentation Time: October 1, 2023; 10:10 am

Permutations of k-Color Parking Functions

In this presentation, we explore a new variant of the classical combinatorial objects known as parking functions, first introduced by Konheim and Weiss. This variant, called exact k-color parking functions (k-CPF), are tuples describing the parking of M cars on a street with M parking spots. We assign each car one of k ordered colors, while m_i denotes the [Read More...]

Presenter: Aalliyah Celestine, Tulane University
Symposium Year: 2023
Session: Math for All Special Session [Organized by Robyn Brooks, Swati Patel, and Padi Fuster]
Presentation Time: October 1, 2023; 10:35 am

Legitimizing non-institutional, functional representations for learning combinatorics

Counting problems in combinatorics can be challenging to learn. There has been a push in the combinatorics education literature towards reasoning structurally about the objects being counted in order to identify, justify, and verify solutions to problems. This approach is problematized by a sparsity of institutional notation to represent those objects, yet [Read More...]

Presenter: Adaline De Chenne, New Mexico State University
Authors: Adaline De Chenne
Symposium Year: 2023
Session: Math for All Special Session [Organized by Robyn Brooks, Swati Patel, and Padi Fuster]
Presentation Time: October 1, 2023; 11:00 am
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