Essays on Mathematics

Aristotle and George Boole contributed to the progression in mathematics and logic with their findings. Plato’s most influential student, Aristotle, job was to be a puzzle solver mostly for metaphysical phenomena and some of his works are more solid and structured prior analytics. He learned …

Abstract Today, many safety-critical applications are controlled by computer software. Therefore effective testing tools are required to provide a high degree of safety and to reduce severe failures too minimum. The paper examines existing regulating standards in safety-critical systems. By comparing different software testing methods …

It was the summer before college when I had the best vacation in my life. I never had enjoyed any vacation since the past years. Too bad I became so pre-occupied with take pleasure in this escapement that I lost my penchant for learning. Summer …

There were many great ancient civilizations that set the foundation for modern western culture to develop; yet none influenced our modern-day civilization more than the Greeks. The ancient Greeks were revolutionaries in many fields, such as science, philosophy, governmental structure, and warfare tactics. Without Greek …

Rene Descartes Rene Descartes was a brilliant man. His works on philosophy, physics and mathematics are still heavily influenced much to all of these studies today in our modern world. Descartes was born in March 31, 1596 in La Haye, France; he was named after …

Specific Purpose: To give honor and recognition for his scientific achievements. Thesis Statement: Through his early life experiences and with the knowledge he left behind, Sir Isaac Newton was able to develop calculus, natural forces, and optics. From birth to early childhood, Isaac Newton overcame …

Sage Tutorial Release 5. 3 The Sage Development Team September 10, 2012 CONTENTS 1 Introduction 1. 1 Installation 1. 2 Ways to Use Sage . . 1. 3 Longterm Goals for Sage . . 3 4 4 4 7 7 9 10 13 18 21 …

Srinivasa Ramanujan Ramanujan was born in India to a poor family in Erode, a city in Madras state. His father was a clerk and his mother a deeply religious housewife. None of these facts reflect who Ramanujan really was. He was a brilliant, self-taught mathematician …

The study sought to determine the effects of Math Enrichment Approach and Math Trail Activity Approach as interventions to solve the respondents’ poor academic performance in Mathematics IV as a result of the following causes: negative attitudes towards mathematics, parents’ socio-economic status and difficulty of …

Reaction Paper Ric Michael P. De Vera IV- Rizal Mr. Norie Sabayan I. A and B Arabic mathematics: forgotten brilliance? Indian mathematics reached Baghdad, a major early center of Islam, about ad 800. Supported by the ruling caliphs and wealthy individuals, translators in Baghdad produced Arabic versions …

The correlation only indicates the degree and direction of the relationship between two variables. It does not, necessarily connote a cause-effect relationship. Even when there are grounds to believe the causal relationship exits, correlation does not tell us which variable is the cause and which, …

One  can  always  say, ‘ it  is  7.00  p.m.’ and  the  same  fact  can  be  also  put  as  ‘ it is  19.00 ’. If  the  truth  underlying  these  two  statements  is  understood  well, one  has understood  ‘ modular mathematics ‘  well. The  conventional  arithmetic  is  based  on  …

They say some are born great, some achieve greatness and some have greatness thrust upon them. In case of Sarah, did she achieve greatness? The answer to this question is both yes and no! How she can achieve greatness, where was the time for it? …

It costs the company an average of $15,000 to produce a rock CD and an average of $12,000 to produce a rap CD. Also, it takes about 18 hours to produce a rock CD and about 25 hours to produce a rap CD. The company …

The notion of self-concept was first introduced by Carl Rogers and Abraham Maslow—how people perceive themselves as pertaining to their capabilities, attitude, values, and uniqueness (Pastorin & Doyle-Portillo, 2013). Subsequently, the establishment of Self-Perception Theory (i.e., individuals use their overt behavior to make inferences about …

The journey into the 4th Dimension 4/19/12 Nature of Math The world we live in today is a world of 3-dimensions filled with objects that are zero, one and two dimensions. We all walk around in our 3-dimensional world thinking there could be no other …

1. In general, a …………… is a number describing some aspect of a population. a. Sample. b. Parameter. c. Inference. d. Correction factor. 2.  A sample quantity that serves to estimate an unknown parameter from a population is called: a. An equivalence. b. An estimator. …

This survey examines the mathematics behind hair weaving. The observation is conducted in a little salon in Decatur, Georgia. The stylist utilizations math on a day-to-day footing. The range of the mathematics in this survey is merely focused on a little facet that occurs daily …

Even though Ahmed’s half of the map doesn’t indicate which direction the 2x + 6 paces should go, we can assume that his and Vanessa’s paces should end up in the same place. I sketched this out on scratch paper I saw that it forms …

Finding the tangent line to the graph of a function at a single point can be extremely useful when interpreting the information that the function represents. So first to describe what a tangent line is: A tangent line of a function at one point shows …

The left and right hemispheres of our brain process information in different ways. We tend to process information using our dominant side. However, the learning and thinking process is enhanced when both side of the brain participate in a balanced manner. This means strengthening our …

Problem A thermometer having a time constant of 0. min is placed in a temperature bath and after the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly with time at the rate of I deg C / min …

Gold Medal Heights The heights achieved by gold medalists in the high jump have been recorded starting from the 1932 Olympics to the 1980 Olympics. The table below shows the Year in row 1 and the Height in centimeters in row 2 Year| 1932| 1936| …

Abstract This report looks to explore the topic of doing males and females have different abilities when estimating size. The point that males’ abilities to estimate size are more accurate than females is hypothesized. To prove this hypothesis, some important information from the internet and …

Daniel X: Demons and Druids Over two hundred thirty million copies of the Daniel X series have been sold worldwide. The author James Patterson wrote Daniel X: Demons and Druids in collaboration with Adam Sadler. The publishing date is July 2010. In the book, Daniel …

I am the only person I know completely. However, still when people ask me to tell something about myself, I often get perplexed. I am mostly left clueless about what to say. Many people experience this and it is often quite embarrassing. While we know …

In regards to how much I feel I improved my knowledge and skills of advanced math during this course, I sadly have to say none whatsoever. I am just as frustrated with math at the end of this course as I was when I started. …

The number theory concerns about numbers i.e. whole numbers or rational numbers (fractions). Number theory is one of the oldest branches of pure mathematics and one of the largest. It is a branch of pure mathematics concerning with the properties and integers. Arithmetic is also …

Background The twentieth century has been filled with the most incredible shocks and surprises: the theory of relativity, Communist revolutions, psychoanalysis, nuclear war, television, moon walks, genetic engineering, and so on. As astounding as any of these is the advent of the computer and its …

Man Is like a fraction whose numerator Is what he Is and whose denominator is what he thinks. The greater the denominator, the lesser the fraction. ” -Lev Tolstoy We should take note that in a fraction, as the denominator becomes larger, the value of …