Author | Title | |
---|---|---|
Boglarka Soos | ||
Jonathan Murley | ||
Jared Penney | ||
Zhaoxin Wan | ||
Dale Connor | ||
Zhao Jin | ||
Nazgol Shahbandi |
Author | Title | |
---|---|---|
Anton Baglaenko | ||
Christopher Morley | ||
Eduardo Dos Santos Lobo Brandao |
| |
Drew Lloyd | ||
Sonia Markes | ||
William Ko | ||
Lisa Nagy | ||
Devin Glew | ||
Tyler Holden | ||
Todd Murray Kemp | ||
Kelly Anne Ogden |
Author | Title | |
---|---|---|
Joshua Fletcher | ||
Benjamin Turnbull | ||
Mathieu Cliche | ||
Mahmoudreza Ghaznavi | ||
Nitin Upadhyaya | ||
Antonia Sanchez | ||
Adley Au |
Author | Title | |
---|---|---|
Colin Phipps | ||
Herbert Tang | ||
Ryan Morris | ||
Michael Dumphy | ||
Robert Huneault | ||
Colin Turner | ||
Chad Wells | ||
Scott Rostrup | ||
Edward Dupont | ||
Katie Ferguson | ||
Peter Stechlinski | ||
Derek Steinmoeller | ||
Alen Shun | ||
Subasha Wickramarachichi | ||
Wentao Liu |
Author | Title | |
---|---|---|
Edward Platt | ||
Ranmal Perera | ||
Ilya Kobelevskiy | ||
Christopher Scott Ferrie | ||
Cameron Christou | ||
Easwar Magesan | ||
William Donnelly | ||
Angus Prain | ||
Jeff Timko |
Author | Title | |
---|---|---|
Elham Monifi | ||
Yasunori Aoki | ||
James Gordon | ||
Youna Hu | ||
Lei Tang | ||
Paul Ullrich | ||
Yijia Li | ||
Scott Sitar | ||
Anthony Chak Tong Chan | ||
Tyler Wilson | ||
Roger Chor Chun Chau | ||
Eduardo Barrenechea |
You are cordially invited to the Ph.D. Thesis Defense Presentation
“The Euler Measure of Finite Categories”
Mustafa Akkaya, Ph. D. Student in Mathematics
Abstract: We associate a rational number $chi(mathcal{A})$ to every category $mathcal{A}$ whose object and morphism sets are finite. The assignment $chi $ is additive under disjoint union and it preserves products. Leinster’s Euler characteristic $chi_{Lein}$ and $chi$ agrees whenever $chi_{Lein}$ is defined. Hence $chi$ is different from series Euler characteristic $chi_{Sigma}$ and $chi$ is preserved under the weak equivalences of canonical model structure when it is restricted to the family of categories for which $chi_{Lein}$ is defined. However, $chi$ is not preserved under the weak equivalences of canonical model structure on its whole domain. For this reason $chi$ is not called Euler characteristic. When the domain of $chi$ is restricted to the family of categories admitting a weighting, $chi$ satisfies the inclusion exclusion principle. Hence we can call this restriction the Euler measure. By abuse of notation we will denote this restriction by $chi$ again. Since the family of categories admitting both weighting and coweighting is contained by the family of categories admitting weighting, the Euler measure of categories is a proper extension of Leinster’s Euler characteristic. We also showed that Leinster’s formula for Grothendieck construction is still valid for diagrams from a poset to the categories in the domain this Euler measure. Hence this can be used to give results about homotopy colimits in canonical model structure. The situation for Thomason model structure is more intricate. We give an example to show that non of $chi$, $chi_{Lein}$ and $chi_{Sigma}$ is invariant under the weak equivalences of Thomason model structure and show that such examples can be eliminated by putting extra conditions on weak equivalences of Thomason model structure.
Advisor: Assist. Prof. Dr. Özgün Ünlü Date: 3 September 2024 Time: 13:00 Place: Department of Mathematics Seminar Room SA-141
IMAGES
VIDEO
COMMENTS
pdf. bio-mathematics: introduction to the mathematical model of the hepatitis c virus, lucille j. durfee. pdf. analysis and synthesis of the literature regarding active and direct instruction and their promotion of flexible thinking in mathematics, genelle elizabeth gonzalez. pdf.
PDF. Methods in Discrete Mathematics to Study DNA Rearrangement Processes, Lina Fajardo Gómez. PDF. Symbolic Computation of Lump Solutions to a Combined ... PDF. Lump, complexiton and algebro-geometric solutions to soliton equations, Yuan Zhou. Theses/Dissertations from 2016 PDF.
A selection of Mathematics PhD thesis titles is listed below, some of which are available online: ... (PDF-29.1MbB) G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB) 2008. C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.
Theses/Dissertations from 2020. PDF. Mathematical Identities of Students with Mathematics Learning Dis/abilities, Emma Lynn Holdaway. PDF. Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures, Porter Peterson Nielsen. PDF.
Theses/Dissertations from 2022. PDF. Covering Systems and the Minimum Modulus Problem, Maria Claire Cummings. PDF. The Existence and Quantum Approximation of Optimal Pure State Ensembles, Ryan Thomas McGaha. PDF. Structure Preserving Reduced-Order Models of Hamiltonian Systems, Megan Alice McKay. PDF.
Groups defined by language theoretic classes . Al Kohli, Raad Sameer Al Sheikh (2024-06-11) - Thesis. In this thesis we shall study classes of groups defined by formal languages. Our first main topic is the class of groups defined by having an ET0L co-word problem; i.e., the class of co-ET0L groups.
Theses/Dissertations from 2021. PDF. Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation, Gianfranco Bino. PDF. Mathematical Modelling of Ecological Systems in Patchy Environments, Ao Li. PDF. Credit Risk Measurement and Application based on BP Neural Networks, Jingshi Luo. PDF.
Estimation and application of Bayesian Hawkes process models . Deutsch, Isabella (The University of Edinburgh, 2024-03-13) In this thesis, we examine various facets of Bayesian approaches to Hawkes Processes. Hawkes Processes are a flexible class of point processes that are used to model events that occur in clusters or bursts, as classic ...
Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to. Harvard University. Department of Mathematics. Science Center Room 325. 1 Oxford Street. Cambridge, MA 02138 USA. Tel: (617) 495-2171 Fax: (617) 495-5132. Department Main Office Contact.
Theses/Dissertations from 2023. PDF. Bicategorical Traces and Cotraces, Justin Barhite. PDF. Geometric and Combinatorial Properties of Lattice Polytopes Defined from Graphs, Kaitlin Bruegge. PDF. Toric Bundles as Mori Dream Spaces, Courtney George. PDF. Lattice minors and Eulerian posets, William Gustafson.
In this thesis we also study estimates on the first positive eigenvalue of the p-Laplacian on a compact Riemannian manifold under assumptions on the Ricci curvature and diameter. Given a compact manifold M, we say that is an eigenvalue for the p-Laplacian if there exists a nonzero function u 2 W1;p(M) such that pu = jujp2 u (1.2.1) in the weak ...
The effect of problem-solving teaching approach on learning fractions in Grade 8. Agadagba, Oghenerukewe Emmanuel (2024) Problem-solving teaching approach is critical in improving learners' cognition and problem-solving skills in different content areas in mathematics. Therefore, this quantitative study evaluated the effect of the problem ...
The Senior Thesis in Mathematical Sciences course allows students to engage in independent mathematical work in an active and modern subject area of the mathematical sciences, guided by an official research faculty member in the department of mathematics and culminating in a written thesis presented in an appropriate public forum.
PDF. Classroom Social Support: A Multiple Phenomenological Case Study of Mathematics Graduate Teaching Assistants' Decision Making in the Classroom, Brittany Johnson. PDF. On the Superabundance of Singular Varieties in Positive Characteristic, Jake Kettinger. PDF. On Dyadic Parity Check Codes and Their Generalizations, Meraiah Martinez. PDF
A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document ' Honors in Mathematics ' for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors ...
Julian Smith-Roberge. Motion from Growth, Order, and Incompressibility. Vahid Nourian. Modeling and simulation of uni- and multi-flagellar bacterial locomotion in a viscous fluid. PhD Theses 2022. Author. Title. James Petrie. Decentralized contact tracing protocols and a risk analysis approach to pandemic control.
Theses in this collection have been scanned by the MIT Libraries or submitted in electronic format by thesis authors. Since 2004 all new Masters and Ph.D. theses are scanned and added to this collection after degrees are awarded. MIT Theses are openly available to all readers. Please share how this access affects or benefits you.
Theorem 1.2.1. A homogenous system of linear equations with more unknowns than equations always has infinitely many solutions. The definition of matrix multiplication requires that the number of columns of the first factor A be the same as the number of rows of the second factor B in order to form the product AB.
advice about writing any mathematics paper, not just a thesis, is provided in [3], and also [2, 4, 5].) 1. Basic requirements Your thesis must make a contribution to some eld of mathematics, and also report what was previously known about the topic. A Ph.D. thesis is expected to have a signi cant amount of original mathematical research.
Honors in Mathematics Writing a Senior Thesis (2021-2022) 1. Candidacy for Honors. A senior thesis is required for high or highest honors in Mathematics, where-as for straight honors (neither high nor highest), a senior thesis can be submit or four extra courses in Mathematics or approved related fields can be taken (above the required twelve ...
The paper size used should be 8 1⁄2" by 11". The left margin should be 1.25 inches, and the top, bottom, and right margins should each be 1 inch. All pages should be numbered. The text should be double-spaced, except for quotations of five lines or longer, which should be single-spaced and indented. The text in the body of the thesis ...
Optimal trajectory calculation using neural networks. Master's Theses 2023. Author. Title. Michael Willette. Modelling the Subglacial Hydrology of Trinity-Wykeham Glaciers of the Northern Canadian Arctic. Adam Winick. Theory and Mitigation of Crosstalk on Quantum Information Processors. Akihiro Takigawa.
Mathematics, as we know, " Mathematics is the Queen and servant of Sciences. Confluent learning, as reemphasized by Loon and Nichol (2015), is holistic, it aims to activate and engage. all of ...
MATH Seminar: "The Euler Measure of Finite Categories", Mustafa Akkaya, 1:00PM September 3 2024 (EN) You are cordially invited to the Ph.D. Thesis Defense Presentation "The Euler Measure of Finite Categories"