Concepts of Gender and Mathematics

23 Mar 2015 03 Jan 2018

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Introduction In 1896 Charles Darwin wrote “The chief distinction in the intellectual powers of the two sexes is shewn by the man's attaining to a higher eminence, in whatever he takes up, than can women…….if men are capable of a decided pre-eminence over women in many subjects the average mental power of a man must be above that of women.” (Darwin see Walkerdine, 1989, p. 1) After ...

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Analysis on Tristram Shandy's Paradox

23 Mar 2015 03 Jan 2018

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Tristram Shandy's Paradox According to an Encyclopedia entry on NationMaster.com (2009) it is generally considered that the publications of Laurence Sterne's The Life and Opinion of Tristram Shandy, Gentleman had a dominant effect on literature of that time. Like his contemporary writers, Sterne debated publicly upon the boundary between literature and philosophy, that's why his book is filled with allusions and references to philosophers, critics and writers ...

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Accounting Ratio Analysis for Finances

23 Mar 2015 03 Jan 2018

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Ratio analysis is a useful tool for analyzing financial statements. Calculating ratios will aid in understanding the company's strategy and in understanding its strengths and weaknesses relative to other companies and over time. They can sometimes be useful in identifying earnings management and in understanding the effect of accounting choices on the firm's reported profitability and growth. Finally, the ratios help in obtaining a better understanding of ...

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Mathematical Learning in the Early Years

23 Mar 2015 03 Jan 2018

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Introduction This is a well known fact that the early years of a child's life are very important in terms of their emotional and social development, their general well being and their intellectual, emotional and physical growth. Almost all the children develop at different paces and what they learn takes place in the first three to five years of life. The environment of home is very important ...

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The Concept of Probability in Mathematics

23 Mar 2015 03 Jan 2018

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Probability is a way of expressing knowledge or belief that an event will occur or has occurred. The concept has been given an exact mathematical meaning in probability theory, which is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems. The word probability does not ...

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The Algorithm of Gaussian Elimination

23 Mar 2015 03 Jan 2018

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In linear algebra, Gaussian elimination is an algorithm for solving systems of linear equations, finding the rank of a matrix, and calculating the inverse of an invertible square matrix. Gaussian elimination is named after German mathematician and scientist Carl Friedrich Gauss. GAUSS / JORDAN (G / J) is a method to find the inverse of the matrices using elementary operations on the matrices.To find the rank of ...

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The Pigeonhole Principle Forms

23 Mar 2015 03 Jan 2018

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PIGEONHOLE PRINCIPLE. Student redefine this as common sense behind this basic idea of this mathematical principle; if there are n objects to be positioned in m receptacles (with m < n), at least two of the items must go into the same box. Whereas the idea is commonsensical, in the hands of a capable mathematician it can be made to do extraordinary things. There is one of ...

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Explanation of the Gantt Chart

23 Mar 2015 03 Jan 2018

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Its use a simple logic calculations to identify the critical path, it does include: - A sequence of activities has a timing duration. - Adding the timing durations from the start till the end (forward pass), it helps to determine the early and late start. - Deduct the timing durations from the end to the start (backward pass), it help to determine the late and early finish. ...

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Types of Mathematics and Engineering

23 Mar 2015 03 Jan 2018

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Engineering: Engineering is the word that does not have proper definition. Every person thinks with different point of view so create different definition but most commonly used definition of engineering is, this is the practical application of science to commerce or industry. As we know that the work of scientist is to know, the engineer to do i.e. the engineer brings the knowledge from science to solve ...

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Correlation of Mathematics With Other Subjects

03 Oct 2016 03 Jan 2018

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“No subject is ever well understood and no art is intelligently practiced, if the light which the other studies are able to throw upon it is deliberately shut out.” – RAMONT What is correlation? The meaning of term ‘correlation’ in simplest form is “connect” or “to be connected”. More precisely, ‘Correlation’ means mutual relation of two or more items/things or Mutual relation of two or ...

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Models of Lesson Planning for Mathematics

03 Oct 2016 03 Jan 2018

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Introduction Planning the word it contains more weightage as compared to any other word. We can only achieve any target often a proper planning strategy. In planning what is target to achieve is our goal with the available resources. Planning also plays an important role in teaching-learning process. While, doing a proper planning in teaching the class environment got relaxed, teacher enjoys the teaching because the ...

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Maths Teaching Guide: Geometrical Constructions

03 Oct 2016 02 Oct 2017

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12 Geometrical Constructions You know using various instruments of the geometry box-ruler, compass, protractor, divider, set square etc. construction of lines and angles. construction of perpendicular and perpendicular bisector to a line construction of angle bisectors. Construction of special angles like 15°,30°,45°,60°,75°,90°,105°,120°,135°,150°,175° You will learn construction of parallel lines using different techniques- paper folding, set square and using compass. to identify whether a ...

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Maths Teaching Guide: Algebraic Expressions

03 Oct 2016 02 Oct 2017

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6 Algebraic Expressions You know to write the terms, coefficients and factors of an algebraic expression. to classify an algebraic expression as monomial, binomial, trinomial. to identify like terms. to add and subtract algebraic expression. You will learn multiplication and division of given polynomials. the difference between an identity and an equation. algebraic identities and their applications. factorization of algebraic expression by ...

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Cracking Ciphers Through Mathematics

03 Oct 2016 02 Oct 2017

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Math Exploration: Cracking different Ciphers Rationale From the ancient times to the modern day cryptography has played an important role in our lives. This mathematics exploration is going to look at different ciphers ranging from Monoalphabetic to machine driven cipher. The main use of ciphers is to protect sensitive information when it is being send on paper or digitally. In the 100 BC the Caesar cipher was ...

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Overview of Famous Mathematicians

03 Oct 2016 02 Oct 2017

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Mathematicians’ Manifesto A young man who died at the age of 32 in a foreign land he had travelled to, to pursue his craft. A clumsy eccentric who could visualize his complete work in his head before he put it to canvas. A Russian who shuns the limelight and refuses recognition for his work. A traveller who went from country to country on a whim in ...

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History of Mathematics

03 Oct 2016 02 Oct 2017

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180 BC Hypsicles: Number Theory Hypsicles was born in 190 B.C. in Alexandria Egypt. He was a mathematician and astronomer. He wrote the “Anaphorikos” or “On the Ascension of Stars,” where he divided the Zodiac into 360° and used arithmetic progression, “a sequence in which each number increases by the same amount over the previous one” (O’Connor & Robertson, 1999). He also wrote Book ...

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Applications of Mathematics in Real Life

03 Oct 2016 02 Oct 2017

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Applications of Mathematics in Real Life Situations 1.0 Application of Matrices Matrix concepts can be applied in various fields such as: Quantum Mechanics 3D Games Animations Cryptography and Others. We shall analyze the last one which is Encryption in further details. Encryption is indeed an important measure of security when there are transactions of data between parties. Firstly, we shall make use of the ...

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Application of Matrices in Real-Life

03 Oct 2016 02 Oct 2017

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Keywords: applications of matrices in real life Application of matrix in daily life Matrices are used much more in daily life than people would have thought. In fact it is in front of us every day when going to work, at the university and even at home. Graphic software such as Adobe Photoshop on your personal computer uses matrices to process linear transformations to render images. ...

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Introduction to Sacred Geometry

16 Aug 2017 18 Sep 2017

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By Arthur Simoes Introduction      in keeping with historic cultures, outstanding scientists, brilliant minds of philosophy and religion. knows geometry is aware of the universe, it is a language that governs all laws and rules of the cosmos. The introduction of many traditions describes the universe because the paintings of an Architect who makes use of "sacred geometry" to create out the dimensions of ...

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Solving Large Systems of Linear Simultaneous Equations

08 Aug 2017 18 Sep 2017

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NICOLE LESIRIMA METHODS OF SOLVING LARGE SYSTEMS OF LINEAR SIMULTANEOUS EQUATIONS PROJECT DESCRIPTION Linear systems simulate real-world problems using applied numerical procedure. The main aim of this project is to consider what factors affect the efficiency of the various methods of solving linear simultaneous equations. So far, one of the main factors is rounding errors that can produce inaccurate solutions. Moreover, MATLAB programs ...

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Symmetry and Group Theory in Relation to Wallpaper Groups

08 Aug 2017 18 Sep 2017

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Mark Anderson 1.1 Group Theory Group Theory was derived from three other areas of mathematics, number theory, the theory of algebraic equations and geometry. The first prominent mathematicians credited with studying group theory were A-L.Cauchy, E.Galois and J-L.Lagrange. Although Lagrange's work with groups is probably the earliest research into groups, in the 18th century, his work was rather isolated and the mid-19th century works of ...

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Partitioning Methods to Improve Obsolescence Forecasting

08 Aug 2017 18 Sep 2017

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Amol Kulkarni Abstract- Clustering is an unsupervised classification of observations or data items into groups or clusters. The problem of clustering has been addressed by many researchers in various disciplines, which serves to reflect its usefulness as one of the steps in exploratory data analysis. This paper presents an overview of partitioning methods, with a goal of providing useful advice and references to identifying the ...

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Elementary Number Theory

08 Aug 2017 18 Sep 2017

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Bernard Opoku qCarl Friedrich Gauss, born into a poor working class family in Brunswick, now lower Saxon, Germany and died in Gottingen, Germany. He was a child prodigy with genius that did not impress his father who called him a "star-gazer." His mother, Dorothea Gauss was the exact opposite of his father as she collaborated with his teachers who were impressed enough to find a ...

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Statistics with Aviation Application

08 Aug 2017 18 Sep 2017

6 (2,294 )

Christopher Wright  A. Type ofstatistical testyou planto conduct(check one, and giverelevantdetails)  1-sample t-test a) Target population: b) Research variable: c) Research question: d) Expected result:  matched pairs t-test a) Target population(s): b) The research variable will be the difference between and c) Research question: d) Expected result: ✓ 2-sample t-test a) Target populations (2): Total travel time between Midway and Denver & Houston ...

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Computable Numbers: The Turing Machine

08 Aug 2017 18 Sep 2017

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Louise Scupham This essay will explore the Turing machine and its relationship with computable numbers and an introduction to real numbers of various types. I will offer an explanation of the reasons why a number may or may not be considered computable through the use of the concept of countable sets and what makes a set countable. Computable numbers consist of any real number which ...

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Hopf Algebra Project

08 Aug 2017 18 Sep 2017

22 (8,777 )

Petros Karayiannis Chapter 0 Introduction Hopf algebras have lot of applications. At first, they used it in topology in 1940s, but then they realized it has applications through combinatorics, category theory, Hopf-Galois theory, quantum theory, Lie algebras, Homological algebra and functional analysis. The purpose of this project is to see the definitions and properties of Hopf algebras.(Becca 2014) Preliminaries This chapter provides all the essential ...

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Number of Folds in Paper: Thickness of Earth to Sun

08 Aug 2017 08 Sep 2017

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Calculating the number of folds and the hypothetical size of a piece of paper so that its thickness equates to the distance from the Earth to Saturn. As a physics student doing the option on astrophysics, I have become very interested in the immensity of the universe. I decided it would be intriguing to combine it with my personal hobby of doing origami which helps ...

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Rook Polynomials and Chess

08 Aug 2017 08 Sep 2017

6 (2,206 )

Introduction Chess is a complex strategical board game. The board on which the game is played is an eight by eight grid. Each player begins the game with 16 pieces: eight pawns, two knights, two bishops , two rooks, one queen, and a single king. Each of the six piece types move differently, and each are able to attack, or remove a certain piece, in ...

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Euler's Totient Theorem

08 Aug 2017 08 Sep 2017

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Summary    Euler Totient theorem is a generalized form of Fermat's Little theory. As such, it solely depends on Fermat's Little Theorem as indicated in Euler's study in 1763 and, later in 1883, the theorem was named after him by J. J. Sylvester. According to Sylvester, the theorem is basically about the alteration in similarity. The term "Totient" was derived from "Quotient", hence, the function ...

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Cost Analysis using Quantity Discounts

08 Aug 2017 08 Sep 2017

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Cost Analysis using quantity discounts for time dependent demand and varying holding cost R.P. Tripathia* and Shweta Singh Tomarb aDepartment of Mathematics, Graphic Era University, Dehradun (UK), India bDepartment of Mathematics, Indo Global College of Engineering, Abhipur (Punjab), India Abstract: In this study, an attempt is made to characterize the inventory model for time dependent demand with varying holding costs. Here, we discuss two ...

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Tower of Hanoi - Solutions

08 Aug 2017 08 Sep 2017

5 (1,846 )

Introduction The Tower of Hanoi is a puzzle popularized in 1883 by Edouard Lucas, a French scientist famous for his study of the Fibonacci sequence. However, this puzzle's roots are from an ancient legend of a Hindu temple. The legend states that there is a secret room in a hidden temple that contains three large pegs. One of these poles has 64 golden disks stacked ...

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Lagrange Multipliers in Mathematics

08 Aug 2017 08 Sep 2017

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Lagrange multipliers arise as a method for maximising (or minimising) a function that is subject to one or more constraints. It was invented by Lagrange as a method of solving problems, in particular a problem about the moons apparent motion relative to the earth. He wrote his work in a paper called Me'chanique analitique (1788) (Bussotti, 2003) This appendix will only sketch the technique and ...

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Impact of the Aztec Mathematical System

08 Aug 2017 08 Sep 2017

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How the Aztec Mathematical System Came to be and Contributed to us Today by Destiny Harrison, Delaney Garcia, Jaysiya Norman, Jewel Samson, Raquel Cruz, Katelyn Woodley, Kalyna Mai and Olivia Nixon For the competition, we were tasked with studying Aztec mathematics. Aztec mathematics was one of the most complicated mathematical writings of any of the pre-Columbian people. Aztecs used hand, heart and arrow ...

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Impacts of the Imaginary Number on Mathematics

08 Aug 2017 08 Sep 2017

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Mathematics was man's first approach to understanding the world around them since the beginning of humanity. The study grew with history in various forms with every human civilization, and as time passed, more discoveries were made that allowed humanity to reach great heights in agriculture, architecture, social structure, and their culture. Great mathematicians continued extensive studies and experiments with various values that existed in their ...

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Basics of Topological Solutons

08 Aug 2017

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Research into topological solitons began in the 1960s, when the fully nonlinear form of the classical field equations, were being thoroughly explored by mathematicians and theoretical physicists. Topological solitons were first examined when the solutions to these equations were interpreted "as candidates for particles of the theory" [1]. The particles that were observed from the results were different from the usual elementary particles. Topological solitons ...

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