Mathematics Commons^™

Topological Detection Of The Dimension Of The Stimuli Space, Aliaksandra Yarosh

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Weighted Composition Operators On Analytic Function Spaces: Some Recent Progress, Dip Acharyya

Publications

Theory of Composition Operators is a steady point of interest for almost 100 years. While studying these operators, our general goal is to describe their operator theoretic properties in terms of the associated function symbols. In this talk, I will discuss some recent results concerning linear combinations (sums, differences, etc.) of weighted composition operators in certain spaces of Analytic functions.

Reducing The Maximum Degree Of A Graph By Deleting Vertices: The Extremal Cases, Peter Borg, Kurt Fenech

Theory & Applications of Graphs

Let λ(G) denote the smallest number of vertices that can be removed from a non-empty graph G so that the resulting graph has a smaller maximum degree. In a recent paper, we proved that if n is the number of vertices of G,k is the maximum degree of G, and t is the number of vertices of degree k, then λ: (G) ≤ n+(k-1)t}{2k}. We also showed that λ (G) ≤ \frac{n}{k+1} if G is a tree. In this paper, we provide a new proof of the first bound and use it to determine the graphs that …

On Robust Colorings Of Hamming-Distance Graphs, Isaiah Harney, Heide Gluesing-Luerssen

Mathematics Faculty Publications

H_q(n, d) is defined as the graph with vertex set Zⁿ_q and where two vertices are adjacent if their Hamming distance is at least d. The chromatic number of these graphs is presented for various sets of parameters (q, n, d). For the 4-colorings of the graphs H₂(n, n − 1) a notion of robustness is introduced. It is based on the tolerance of swapping colors along an edge without destroying properness of the coloring. An explicit description of the maximally robust 4-colorings of …

Math Active Learning Lab: Math 93 Notebook, Michele Iiams, Gwennie Byron

Open Educational Resources

This course notebook has been designed for students of Math 93 (Algebra Prep III) at the University of North Dakota. It has been designed to help you get the most out of the ALEKS resources and your time.

• Topics in the Notebook are organized by weekly learning module.
• Space for notes from ALEKS learning pages, e-book and videos directs you to essential concepts.
• Examples and “You Try It” problems have been carefully chosen to help you focus on these essential concepts.
• Completed Notebook is an invaluable tool when studying for exams.

A Maximum Entropy Method For Solving The Boundary Value Problem Of Second Order Ordinary Differential Equations, Congming Jin, Jiu Ding

Faculty Publications

We propose a new method to solve the boundary value problem for a class of second order linear ordinary differential equations, which has a non-negative solution. The method applies the maximum entropy principle to approximating the solution numerically. The theoretical analysis and numerical examples show that our method is convergent.

Σ-Ary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

Mixed Degree Number Field Computations, John W. Jones, David P. Roberts

Mathematics Publications

We present a method for computing complete lists of number fields in cases where the Galois group, as an abstract group, appears as a Galois group in smaller degree. We apply this method to find the 25 octic fields with Galois group PSL₂(7) and smallest absolute discriminant. We carry out a number of related computations, including determining the octic field with Galois group 2³:GL₃(2) of smallest absolute discriminant.

Dual Perspectives On Desargues' Theorem, Carl Lienert

Geometry

No abstract provided.

Otto Holder's Formal Christening Of The Quotient Group Concept, Janet Heine Barnett

Abstract Algebra

No abstract provided.

Modeling And An Immersed Finite Element Method For An Interface Wave Equation, Jinwei Bai, Yong Cao, Xiaoming He, Hongyan Liu, Xiaofeng Yang

Mathematics and Statistics Faculty Research & Creative Works

The electromagnetic field, which is governed by Maxwell's equation, plays a key role in plasma simulation. In this article, we first derive the interface conditions when we rewrite the interface Maxwell's equation, whose problem domain involves complex media such as objects of different materials, into a parabolic–hyperbolic type of interface model, which is a modified wave equation by adding a first order time derivative term due to the lossy medium. Based on the interface conditions and the existing bilinear immersed finite element space for the interface Poisson equation, we propose an immersed finite element method for the spatial discretization of …

The Origin Of The Prime Number Theorem, Dominic Klyve

Number Theory

No abstract provided.

Celebration Of Mind Puzzle-Game, Jeremiah Farrell

Scholarship and Professional Work - LAS

Each different letter of "Celebration of Mind" is used exactly three times in the following words: ACE, BAM, BID, BLT (the sandwich), CON, FEN, FIT, MIC (microphone or 1099), OLD, RAN, ELM, RFD (rural free delivery), ROT.

Alzheimer’S Disease And Alpha-Synuclein Neuropathology In The Olfactory Bulbs Of Children And Young Adults ≤40years Exposed To High Levels Of Fine Particulate Matter Air Pollution In Metropolitan Mexico City: Apoe4 Carriers At Higher Risk Of Suicide Accelerate Their Olfactory Bulb Damage, Partha S. Mukherjee

Mathematics Faculty Publications and Presentations

There is growing evidence that air pollution is a risk factor for a number of neurodegenerative diseases, most notably Alzheimer’s (AD) and Parkinson’s (PD). It is generally assumed that the pathology of these diseases arises only later in life and commonly begins within olfactory eloquent pathways prior to the onset of the classical clinical symptoms. The present study demonstrates that chronic exposure to high levels of air pollution results in AD- and PD-related pathology within the olfactory bulbs of children and relatively young adults ranging in age from 11 months to 40 years. The olfactory bulbs (OBs) of 179 residents …

Nonlocal Diffusions And The Quantum Black-Scholes Equation: Modelling The Market Fear Factor, Will Hicks

Communications on Stochastic Analysis

No abstract provided.

A Decomposition Of A Space Of Multiple Wiener Integrals By The Difference Of Two Independent Lévy Processes In Terms Of The Lévy Laplacian, Atsushi Ishikawa

Communications on Stochastic Analysis

No abstract provided.

An Asymptotic Comparison Of Two Time-Homogeneous Pam Models, Hyun-Jung Kim, Sergey Vladimir Lototsky

Communications on Stochastic Analysis

No abstract provided.

Parametric Family Of Sdes Driven By Lévy Noise, Suprio Bhar, Barun Sarkar

Communications on Stochastic Analysis

No abstract provided.

Directional Malliavin Derivatives: A Characterisation Of Independence And A Generalised Chain Rule, Stefan Koch

Communications on Stochastic Analysis

No abstract provided.