# Mathematics Essays

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#### Latest Mathematics Essays

- Payment Time Confidence Interval Case StudyPublished: Mon, 18 May 2020
**Extract**: Payment Time Case Study Electronic billing systems were created to make life easier for companies. Technically speaking, the new billing system is supposed to significantly reduce the payment time process. For this case study, the datasets provided in the assignment will be used and the concepts of sampling distributions and confidence intervals of 95% and […] - How Can Integral Calculus Be Derived and Applied to Find the Volumes and Surface Area of Complex Three-dimensional Objects?Published: Mon, 18 May 2020
**Extract**: 1. Rationale While looking for an area of maths to delve into my Mathematical Exploration, I took inspiration from my grandfather’s hobby of pottery and glass blowing. In the garage, he would have sheets of glass and clay blocks occupying the shelves. We had a shared past-time where he would make beautiful, symmetric vases out […] - To What Extent Is the Acquisition of New Mathematical Knowledge Based on the Need to Solve Problems?Published: Mon, 18 May 2020
**Extract**: Upon first glance, it appears that “knowledge” is created mainly “to solve problems”, indirectly implying that knowledge can be used for other purposes. In the context of this investigation, “knowledge” in the Area of Knowledge (AOK) Mathematics refers to two specific areas: tacit and explicit knowledge. Tacit knowledge is skill-based knowledge gained from intuition, experience […] - Unepected Mathematics: Benford’s Law and Other Surprising DistributionsPublished: Mon, 18 May 2020
**Extract**: Introduction Benford’s law is a surprising mathematical concept which at first seems rather counter-intuitive. It explains the distribution of the leading digits in a large set of data. A simple example displays its initial peculiarity. Imagine we look at the current share price of every company on the FTSE 350, an index of the 350 […] - Mathematical Modelling of Swimming World RecordsPublished: Mon, 18 May 2020
**Extract**: i ABSTRACT Have you ever wonder what time we can expect for athletes to swim in the Tokyo 2020 Olympics? This the basis that encourage me to research the main question of the report, whether mathematical models can be used to foresee reliable result for future swimming times. The purpose of this report is to investigate […] - Mathematical Modelling ReportPublished: Mon, 18 May 2020
**Extract**: Scientific problems are approached by building ‘models’. Not little cardboard models, but models made from mathematical tools. We can play with the symbolic models and adjust them until they start to behave in a way that resembles the way we expect them to, in order to be able to make projections. When we have done […] - Image Inpainting Using Mathematical AlgorithmsPublished: Mon, 18 May 2020
**Extract**: Image Inpainting – Filling in the gaps. Abstract Inpainting is the process of rebuilding lost or damaged parts of images and videos. Image inpainting, also called hole filling, is the technique of image reconstruction by filling or replacing the region where there is damage or intentional removal of objects. The outcome is to make the […] - Calculus and Quadratic Formula to Determine LengthsPublished: Mon, 18 May 2020
**Extract**: INTRODUCTION Calculus, which is one of the foremost branches of Mathematics, studies about the rates of changes. It was invented by Isaac Newton and Gottfried Leibniz in the latter half of the 17th century. It is now used in different fields and subjects such as science, economics, and engineering (Wikipedia, 2019). For example, in Physics, […] - Writing Across the Curriculum in MathematicsPublished: Mon, 18 May 2020
**Extract**: Abstract: A student’s ability to explain concepts in writing is related to the ability to comprehend and apply them. Writing supports mathematical reasoning and problem solving and helps students adopt the characteristics of effective communication by helping strengthen their thinking while requiring them to reflect on their work and clarify their thoughts about the ideas. […] - Biography of Georg CantorPublished: Mon, 18 May 2020
**Extract**: Georg Cantor was born in St Petersburg, Russia. His birthday was March 3, 1845. Him and his family lived in St Petersburg Russia until he was 11 years old. They moved to Frankfurt Germany. They moved there because dad’s health was getting bad so he couldn’t take cold winters. His parents where Danish. His […] - Roger Caillois’ Scientific and Mathematic DevelopmentsPublished: Mon, 18 May 2020
**Extract**: Roger Caillois, polymath, philosopher, historian of science, was friend of Andre Breton and many surrealists. However, in 1934, Caillois’s mind was different from surrealist investigators. The conflict arose between Caillois and Breton when they were shown the Mexican Jumping Beans, which will jump into the air suddenly. Caillois speculated that there was a worm inside […] - Music and Mathematics HarmonyPublished: Mon, 18 May 2020
**Extract**: Pythagoras was quoted as saying, “there is geometry in the humming of the strings, there is music in the spacing of the spheres.” As poetic as this sounds, the famous Greek mathematician was actually making a direct statement about the connection between mathematics and music. In modern times, math is a subject generally associated with […] - Extant Egyptian Mathematical TextsPublished: Sat, 08 Feb 2020
**Extract**: There are only a handful of Egyptian mathematical texts that are still in existence today. It is amazing how these ancient texts can survive for thousands of years so we can continue to study them and understand the minds of ancient Egyptians. Egyptians were more scientifically and mathematically advanced than one might think. The most […] - Is Complete Certainty Achievable in Mathematics?Published: Sat, 08 Feb 2020
**Extract**: Prescribed Title: Mathematicians have the concept of rigorous proof, which leads to knowing something with complete certainty. Consider the extent to which complete certainty might be achievable in mathematics and at least one other area of knowledge. Mathematics and natural sciences seem as if they are areas of knowledge in which one is most likely […] - Math ISU on Tower of HanoiPublished: Sat, 08 Feb 2020
**Extract**: Introduction – The Legend In 1833, Edouard Lucas, a French Mathematician, has created a game puzzle and named it Tower of Hanoi (Bogomolny, n.d., para. 1). In truth, the inspiration of the puzzle came from an ancient legend of a Indian temple (Britannica, 2009, para. 2). In the legend, the explorers were given a tower […] - Overview of Game Theory and its ApplicationsPublished: Sat, 08 Feb 2020
**Extract**: Introduction Game theory consists of seven aspects: players, action, strategies, information, utility, outcome and equilibrium. Participants in all game models of game theory are defined as rational participants who do not trust others. For each participant, he or she cannot improve his or her situation as long as others do not change the strategy. Nash […] - Math and Its Influence on Renaissance WarfarePublished: Sat, 08 Feb 2020
**Extract**: At the turn of the 14th century, there is a societal shift that can be portrayed as a transition from darkness to light. From the fall of the Rome Empire to the beginning of the 14th Century, Europe was characterized to be in the “Middle Ages”, an era plighted with war, disease, chaos, and little […] - Notion of Induction and Recursion in Mathematics and Computer SciencePublished: Sat, 08 Feb 2020
**Extract**: Explain the relationship between the notion of induction in mathematics and the notion of recursion in computer science Introduction: In order to explain the relationship between the notion of induction in mathematics and the notion of recursion in computer science we must look at the similarities and differences between them. The aim of this […] - Relationship Between Sociocultural Diversity and MathematicsPublished: Sat, 08 Feb 2020
**Extract**: The word that can simply describe the study of the interrelationship between culture and mathematics is ethnomathematics. In the late nineties, ethnomathematics was more related to the study of mathematical ideas of primitive peoples, (Ascher and Ascher 1986). Modernised and detailed definition of ethnomathematics was proposed by (D’Ambrosio 1985), the most well-known mathematician in Brazil […] - Mathematical Basis of Big Bang CosmologyPublished: Mon, 23 Sep 2019
**Extract**: How did the universe begin? Table of Contents: Abstract………………………………………………………………………………………….1 Introduction……………………………………………………………………………………..1 Rise of the Big Bang Model…………………………………..……………………………….2 Mathematical Basis of Big Bang Cosmology………………………………………………..3 Friedmann-Robertson-Walker(FRW) Metric………………..………………………..3 Friedmann Equations……………………………………………….………………….4 3 Pillars of the Big Bang Model……………………………………..…………………………5 Hubble’s Law……………………………………………………………………………..6 Cosmic Microwave Background Radiation(CMBR) …………………………………7 Big Bang Nucleosynthesis………………………………………………………………8 Implications(?) of the Big Bang Model Conclusion Bibliography Abstract […] - How Does the Idea of Limits Make the Calculus Precise?Published: Mon, 23 Sep 2019
**Extract**: How does the idea of limits make the calculus precise? In this essay, I will be discussing the topic of differentiation and how the ideas of the calculus were criticised. I will be giving an overview of how calculus can be explained and explaining the idea of limits and the infinitesimal number. The Calculus controversy […] - Power Flow Studies Using MATLABPublished: Mon, 23 Sep 2019
**Extract**: Power Flow Studies Using MATLAB Executive Summary The report aims to show the differences between Newton-Raphson and Gauss-Seidel methods by using them to analyse a power flow system. During the study in a two-bus system, with a slack bus and PQ bus, two convergence tolerances were used. The case study 1 compares the iterative process […] - Correlation the Number of the Students’ College Applications and Consumption of CaffeinePublished: Mon, 23 Sep 2019
**Extract**: Correlation the Number of the Students’ College Applications and Consumption of Caffeine Introduction and statement of intent: Students are exposed to a lot of stress during the college admissions process. These increased stress levels come with some negative consequences like the increase in consumption of caffeine. The objective of this academic project is to […] - Equation to Model a Cooling Cup of CoffeePublished: Mon, 23 Sep 2019
**Extract**: MATHEMATICS SL Internal Assessment Mathematically Determining an Equation to Model a Cooling Cup of Coffee I. Introduction After having spent countless hours completing assignments and projects, I have too often found my coffee to be cold by the time I get around to drinking it. As a result, I began to question the reasoning behind […] - Mathematical Modeling of Diseases: Varicella Infection RatesPublished: Mon, 23 Sep 2019
**Extract**: To what extent can varicella be eradicated with the usage of vaccines? Mathematical Modeling of Diseases: Varicella Infection Rates Table of Contents: Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . […]