Sum Of Cubes Of The First N Integers,
2020
California State University, San Bernardino
Sum Of Cubes Of The First N Integers, Obiamaka L. Agu
Electronic Theses, Projects, and Dissertations
In Calculus we learned that Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at the endpoints a and b. From my recollection, a former instructor informed us to do the value of memorizing these formulas. …
A Collection Of Fast Algorithms For Scalar And Vector-Valued Data On Irregular Domains: Spherical Harmonic Analysis, Divergence-Free/Curl-Free Radial Basis Functions, And Implicit Surface Reconstruction,
2020
Boise State University
A Collection Of Fast Algorithms For Scalar And Vector-Valued Data On Irregular Domains: Spherical Harmonic Analysis, Divergence-Free/Curl-Free Radial Basis Functions, And Implicit Surface Reconstruction, Kathryn Primrose Drake
Boise State University Theses and Dissertations
This dissertation addresses problems that arise in a diverse group of fields including cosmology, electromagnetism, and graphic design. While these topics may seem disparate, they share a commonality in their need for fast and accurate algorithms which can handle large datasets collected on irregular domains. An important issue in cosmology is the calculation of the angular power spectrum of the cosmic microwave background (CMB) radiation. CMB photons offer a direct insight into the early stages of the universe's development and give the strongest evidence for the Big Bang theory to date. The Hierarchical Equal Area isoLatitude Pixelation (HEALPix) grid is …
Under Frequency Load Shedding Scheme For Islanded Distribution System Based On Mixed Integer Linear Programming,
2020
Universiti Malaya
Under Frequency Load Shedding Scheme For Islanded Distribution System Based On Mixed Integer Linear Programming, Sohail Sarwar
Student Works (2020-2029)
In recent years, significant climate changes have pivoted the distribution system towards utilization of renewable energy, particularly through distributed generators (DGs). Although DGs offer many benefits, its integration affects the stability of the system, which could lead to blackout, when the grid is disconnected. The system frequency will drop drastically if DG’s generation capacity is less than the total load demand in the network. In order to sustain the system stability, Under Frequency Load Shedding (UFLS) is a commonly used technique to minimize the difference in load demand and power generation. However, existing load shedding techniques are lack in accurate …
Fredholm-Regularity Of Holomorphic Discs In Plane Bundles Over Compact Surfaces,
2020
School of Science, Technology, Engineering and Mathematics, Institute of Technology, Tralee, Clash, Tralee, Co. Kerry, Ireland.
Fredholm-Regularity Of Holomorphic Discs In Plane Bundles Over Compact Surfaces, Brendan Guilfoyle, Wilhelm Klingenberg
Publications
We study the space of holomorphic discs with boundary on a surface in a real 2-dimensional vector bundle over a compact 2-manifold. We prove that, if the ambient 4-manifold admits a fibre-preserving transitive holomorphic action, then a section with a single complex point has C2,α-close sections such that any (non-multiply covered) holomorphic disc with boundary in these sections are Fredholm regular. Fredholm regularity is also established when the complex surface is neutral K¨ahler, the action is both holomorphic and symplectic, and the section is Lagrangian with a single complex point.
Energy-Efficient Communications In Wireless Powered Cognitive Radio Networks Based On Game Theory,
2020
Universiti Malaya
Energy-Efficient Communications In Wireless Powered Cognitive Radio Networks Based On Game Theory, Fadhil Mukhlif Aswad Al-Obaidy
Student Works (2020-2029)
There are challenging and prevalent problems related to spectrum resources with the interference of battery-based devices in future wireless networks. To address such challenges, this thesis proposes a theoretical framework for designing and analyzing the distributed power control algorithms in modern 5G cognitive networks. Previous experiments have shown that game theory tools can be used as a suitable and efficient technique to build scalable, balanced, and energy efficient for the distributed power control schemes in order to use it practically in battery-based devices in wireless networks. In reality, the power control issue is constructed as a non-cooperative game for which …
Preludes To Mathematical Biology Education,
2020
Benedictine University
Preludes To Mathematical Biology Education, Timothy Comar
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Reactions To A Pandemic: The Coronavirus Brings Mathematicians To The Front Line,
2020
Pomona College
Reactions To A Pandemic: The Coronavirus Brings Mathematicians To The Front Line, Ami Radunskaya
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations,
2020
Illinois State University
Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations, Attou Miloua
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia,
2020
Tijuana Institute of Technology, Mexico
Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia, Paul Valle
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Viewing Ode Models Through A New Lens: The Generalized Linear Chain Trick,
2020
University of Nevada, Reno
Viewing Ode Models Through A New Lens: The Generalized Linear Chain Trick, Paul Hurtado, Cameron Richards
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Strange Periodic Behavior In An Epilepsy Model,
2020
VCU
Strange Periodic Behavior In An Epilepsy Model, David Chan, Candace Kent, William Strasser
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Applying Immuno-Epidemiology Principles To Violence,
2020
University of Tennessee, Knoxville
Applying Immuno-Epidemiology Principles To Violence, Anna H. Sisk, Nina H. Fefferman, Judy Day, Patricia Bamwine
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Various Mathematical Models To Study Covid-19 Pandemic Dynamics With Quarantine, Hospitalized And Non-Pharmaceutical Interventions As Control Strategies,
2020
JC DAV COLLEGE DASUYA, PUNJAB, INDIA
Various Mathematical Models To Study Covid-19 Pandemic Dynamics With Quarantine, Hospitalized And Non-Pharmaceutical Interventions As Control Strategies, Amit Sharma, Bhanu Gupta
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Stochastic Analysis And Statistical Inference For Seir Models Of Infectious Diseases,
2020
PRECISIONheor
Stochastic Analysis And Statistical Inference For Seir Models Of Infectious Diseases, Andrés Ríos-Gutiérrez, Viswanathan Arunachalam, Anuj Mubayi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Malaria-Hiv/Aids Co-Infection Model With Optimal Treatment And Insecticide-Treated Bednets,
2020
Augusta University
A Malaria-Hiv/Aids Co-Infection Model With Optimal Treatment And Insecticide-Treated Bednets, Eric Numfor
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Pharmacokinetics And Pharmacodynamics Models Of Tumor Growth And Anticancer Effects In Discrete Time,
2020
Western Kentucky University
Pharmacokinetics And Pharmacodynamics Models Of Tumor Growth And Anticancer Effects In Discrete Time, Ngoc Nguyen, Ferhan M. Atici
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Mathematical Model Illustrating Atherosclerotic Plaque Formation,
2020
Illinois State University
A Mathematical Model Illustrating Atherosclerotic Plaque Formation, Debasmita Mukherjee
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analyzing The Control Measures For The Homeless Population And Quantifying Their Impact On The Covid-19 Epidemic In New York City,
2020
Illinois State University
Analyzing The Control Measures For The Homeless Population And Quantifying Their Impact On The Covid-19 Epidemic In New York City, Steven Manns
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Stochastic Multi-Host Model For West Nile Virus,
2020
Virginia Commonwealth University
A Stochastic Multi-Host Model For West Nile Virus, Emily B. Horton, Suzanne Robertson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Pathogen Evolution And Vector-Borne Infection Emergence,
2020
North Carolina State University
Pathogen Evolution And Vector-Borne Infection Emergence, Praachi Das
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
