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Full-Text Articles in Physical Sciences and Mathematics

Fitting A Linear Regression Model And Forecasting In R In The Presence Of Heteroskedascity With Particular Reference To Advanced Regression Technique Dataset On Kaggle.Com., Samuel Mbah Nde Jan 2017

Fitting A Linear Regression Model And Forecasting In R In The Presence Of Heteroskedascity With Particular Reference To Advanced Regression Technique Dataset On Kaggle.Com., Samuel Mbah Nde

All Student Theses

Since ancient times, men have built and sold houses. But just how much is a house worth? The challenge is to be able to use information about a house such as its location, and the area on which it is built to predict its price. Such predicted prices can be of great importance to any participant in the real estate business be it an agent, a buyer, seller or a bank to make intelligent decisions and the profit that come with such decisions. Since every company’s success depends on its ability to accurately predict financial outcomes, its profitability will depend …


An Introduction To The Lebesgue Integral, Ikhlas Adi Jan 2017

An Introduction To The Lebesgue Integral, Ikhlas Adi

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The Riemann integral is the simplest integral to define, and it allows one to integrate every continuous function. It is really important to have a definition of the integral that allows a wider class of functions to be integrated. However, there are many other types of integrals, the most important of which is the Lebesgue integral. The Lebesgue integral allows one to integrate unbounded or discontinuous functions whose Riemann integral does not exist, and it has mathematical properties that the Riemann integral does not. The definition of the Lebesgue integral requires the use of measure theory since picking out a …


Quantitative Urbanism: A Look At Illinois Cities Using Modeling, Heather Conte Apr 2015

Quantitative Urbanism: A Look At Illinois Cities Using Modeling, Heather Conte

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Quantitative urbanism is described as the field of study that explores the social, economic, and physical principles that cities are a product of. This new field of mathematics is quickly growing as various disciplines are attempting to better understand urban growth. This paper will explore the latest discoveries in the relationships that exist between cities and their size. Many aspects of cities, such as crime rates, energy usage, and wealth, have been shown to change exponentially in relation to city size. This paper explores multiple urban indicators vs. population size for cities in Illinois and discusses the results compared to …


Monte Carlo Simulation: When Should A Contestant Stop Spinning?, Gregory Horn Jul 2014

Monte Carlo Simulation: When Should A Contestant Stop Spinning?, Gregory Horn

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Every episode of the popular game show The Price Is Right contains two rounds called The Showcase Showdown or The Big Wheel. During these rounds, three contestants spin a large wheel that consists of monetary values from five cents through one dollar in 5 cent increments. The object of this game is to get closest to one dollar without going over in one or a combination of two spins. The two winners of these rounds get to compete for the most valuable prizes at the end of each show. Monte Carlo simulation will be used to find the range of …


A Discrete Density-Dependent Model Of The Solanum Virus, James Morgan Jul 2014

A Discrete Density-Dependent Model Of The Solanum Virus, James Morgan

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Compartmental modeling has been used to model infectious diseases for roughly 100 years. Since 2009, several papers have modeled zombie outbreak using this method with various results. This paper will develop a unique model for the spread of the The Walking Dead zombie virus throughout the contiguous United States. Frequency dependent and density dependent transmission will be discussed, and density dependent transmission will be shown to be the appropriate choice for this model. Constant parameters, such as birth rate, bite rate, death rate, and turning rate will be determined using real-world and fictional data. After developing a basic model, modifications …