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Full-Text Articles in Mathematics
P-36 The Delta-Crossing Number For Links, Zachary Duah
P-36 The Delta-Crossing Number For Links, Zachary Duah
Celebration of Research and Creative Scholarship
An m-component link is an embedding of m circles into 3-dimensional space; a 1-component link is called a knot. The diagram for a link may be drawn so that all crossings occur within delta tangles, collections of three crossings as appear in a delta move. The delta crossing number is defined to be the minimal number of delta tangles in such a diagram. The delta crossing number has been well-studied for knots but not for links with multiple components. Using bounds we determine the delta crossing number for several 2-component links with up to 8 crossings as well as for …
P-37 Self And Mixed Delta Moves On Algebraically Split Links, Justyce Goode, Davielle Smith, Yamil Kas-Danouche, Devin Garcia, Anthony Bosman
P-37 Self And Mixed Delta Moves On Algebraically Split Links, Justyce Goode, Davielle Smith, Yamil Kas-Danouche, Devin Garcia, Anthony Bosman
Celebration of Research and Creative Scholarship
A link is an embedding of circles into 3-dimensional space. A Delta-move is a local move on a link diagram. The Delta-Gordian distance between links measures the minimum number of Delta-moves needed to move between link diagrams. We place restrictions on the Delta-move by either requiring the move to only involve a single component of the link, called a self Delta-move, or multiple components of the link, called a mixed Delta-move. We prove a number of results on how (mixed/self) Delta-moves relate to classical link invariants including the Arf invariant and crossing number. This allows us to produce a graph …
Left-Separation Of Ω1, Lukas Stuelke, Adrienne Stanley Ph.D.
Left-Separation Of Ω1, Lukas Stuelke, Adrienne Stanley Ph.D.
Summer Undergraduate Research Program (SURP) Symposium
A topological space is left-separated if it can be well-ordered so that every initial segment is closed. Here, we show that all countable ordinal numbers are left-separated. We then prove that a similar method could not work for ω1 , using the pressing-down lemma1 . We finish by showing that a left-separating well-ordering on ω1 necessarily leads to a contradiction.
Rendezvous Numbers Of Compact And Connected Spaces, Kevin Demler, Bill Wood Ph.D.
Rendezvous Numbers Of Compact And Connected Spaces, Kevin Demler, Bill Wood Ph.D.
Summer Undergraduate Research Program (SURP) Symposium
The concept of a rendezvous number was originally developed by O. Gross in 1964, and was expanded upon greatly by J. Cleary, S. Morris, and D. Yost in 1986. This number exists for every metric space, yet very little is known about it, and it’s exact value for most spaces is not known. Furthermore, it’s exact value is difficult to calculate, and in most cases we can only find bounds for the value. We focused on their arguments using convexity and applied it to shapes in different metrics and graphs. Using sets of points that stood out (vertices, midpoints) as …
Unomaha Problem Of The Week (2021-2022 Edition), Brad Horner, Jordan M. Sahs
Unomaha Problem Of The Week (2021-2022 Edition), Brad Horner, Jordan M. Sahs
UNO Student Research and Creative Activity Fair
The University of Omaha math department's Problem of the Week was taken over in Fall 2019 from faculty by the authors. The structure: each semester (Fall and Spring), three problems are given per week for twelve weeks, with each problem worth ten points - mimicking the structure of arguably the most well-regarded university math competition around, the Putnam Competition, with prizes awarded to top-scorers at semester's end. The weekly competition was halted midway through Spring 2020 due to COVID-19, but relaunched again in Fall 2021, with massive changes.
Now there are three difficulty tiers to POW problems, roughly corresponding to …
Image-Based Microbiome Profiling Differentiates Gut Microbial Metabolic States, Sarwesh Rauniyar
Image-Based Microbiome Profiling Differentiates Gut Microbial Metabolic States, Sarwesh Rauniyar
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Topology And Ecology: Deducing States Of The Upper Mississippi River System, Killian Davis
Topology And Ecology: Deducing States Of The Upper Mississippi River System, Killian Davis
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Nested Links, Linking Matrices, And Crushtaceans, Madeline Brown
Nested Links, Linking Matrices, And Crushtaceans, Madeline Brown
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Application Of Tda Mapper To Water Data And Bird Data, Wako Bungula
Application Of Tda Mapper To Water Data And Bird Data, Wako Bungula
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Loop Homology Of Bi-Secondary Structures, Andrei Bura
Loop Homology Of Bi-Secondary Structures, Andrei Bura
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Energy-Spectrum Of Bicompatible Sequences, Wenda Huang
The Energy-Spectrum Of Bicompatible Sequences, Wenda Huang
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mental Geometry For Estimating Relative 3d Size, Akihito Maruya, Qasim Zaidi Dr.
Mental Geometry For Estimating Relative 3d Size, Akihito Maruya, Qasim Zaidi Dr.
MODVIS Workshop
No abstract provided.
Topological Detection Of The Dimension Of The Stimuli Space, Aliaksandra Yarosh
Topological Detection Of The Dimension Of The Stimuli Space, Aliaksandra Yarosh
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Klein Bottle Queries, Austin Lowe
Klein Bottle Queries, Austin Lowe
Georgia State Undergraduate Research Conference
No abstract provided.
Non-Orientable Objects As Gaming Surfaces, Haley P. Bourke, Paul Latiolais
Non-Orientable Objects As Gaming Surfaces, Haley P. Bourke, Paul Latiolais
Student Research Symposium
Developed in Python, Klein Space Fighter is an interactive learning tool and mathematically themed arcade game that allows the player to combat on different mathematical surfaces including a 2D Klein bottle. The app is available for Android and desktop devices, and will be made available for iOS in the future.
To receive an invitation to download the app through Google Play, contact me at HaleyoBourke@yahoo.com
Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio
Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio
Professional Learning Day
Many topics that fall under the umbrella of Discrete Mathematics cut across the traditional high school curriculum areas of algebra, geometry, and pre-calculus. Come try some classroom-ready hands-on Discrete Mathematics activities that illustrate the true interconnectedness of mathematics.