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

5 (1,725 )

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

4 (1,330 )

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

6 (2,271 )

“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

7 (2,708 )

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

5 (1,789 )

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

6 (2,357 )

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

4 (1,403 )

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

5 (1,629 )

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

4 (1,365 )

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

7 (2,520 )

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

14 (5,415 )

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

8 (2,843 )

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

14 (5,429 )

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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Difference of Squares of Two Natural Numbers

23 Mar 2015 07 Jul 2017

11 (4,085 )

One of the basic arithmetic operations is finding squares and difference between squares of two natural numbers. Though there are various methods to find the difference between squares of two natural numbers, still there are scopes to find simplified and easy approaches. As the sequence formed using the difference between squares of two natural numbers follow a number patterns, using number patterns may facilitate more easy approach. ...

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The History of Algebra

23 Mar 2015 12 Jun 2017

11 (4,395 )

Keywords: algebra history, algebra founder, cuthbert tunstall algebra The dissertation will discuss about history of algebra, which is one of most important branch of arithmetic, the founder of algebra, meanings of algebra and its benefit in our daily life, how we can learn and teach in the best way? What is Algebra? Algebra is a branch of mathematics, as we know maths is queen of science, it ...

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Rate Of Convergence In Numerical Analysis

23 Mar 2015 07 Jun 2017

5 (1,897 )

Keywords: numerical analysis convergence, race of convergence analysis In numerical analysis, the speed at which a convergent sequence approaches its limit is called the rate of convergence. Strictly speaking, a limit does not give information about any finite first part of the sequence; this concept is of practical importance if we deal with a sequence of successive approximations for a iterative method, as typically fewer iterations are ...

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Laplace Transform Example

23 Mar 2015 26 May 2017

5 (1,648 )

Keywords: laplace transform table Abstract: This paper describes the Laplace transform used in solving the differential equation and the comparison with the other usual methods of solving the differential equation. The method of Laplace transform has the advantage of directly giving the solution of differential equation with given boundary values without the necessity of first finding the general solution and then evaluating from it the arbitrary ...

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The Fencing Problem | Mathematics Problem

23 Mar 2015 16 May 2017

4 (1,353 )

The Fencing Problem. A farmer has exactly 1000 metres of fencing and wants to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000m. Which shape, with a perimeter of 1000m has the maximum possible area? Let us start off with a isosceles triangles. The area of an isosceles triangle can be ...

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Nature And Structure Of Mathematics

23 Mar 2015 15 May 2017

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Chapter 2 Literature review In this chapter, literature related to mathematics confidence, reflection and problem- solving are reviewed. The chapter begins with an introduction to mathematics and the occurrence of educational changes and concerns in South Africa. It examines the metacognitive activity reflection and its various facets along with affective issues in mathematics. Then, differentiating between past and current research, the focus will be on how mathematics ...

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Direct and iterative method

23 Mar 2015 15 May 2017

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INTRODUCTION TO DIRECT AND ITERATIVE METHOD Many important practical problems give rise to systems of linear equations written as the matrix equation Ax = c, where A is a given n × nnonsingular matrix and c is an n-dimensional vector; the problem is to find an n-dimensional vector x satisfying equation . Such systems of linear equations arise mainly from discrete approximations of partial differential equations. ...

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What Is Algebra?

23 Mar 2015 15 May 2017

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Algebra is a branch of mathematics, as we know maths is queen of science, it plays vital role of developing and flourishing technology, we use all scopes in past and newly, the algebra is not exceptional the maths. Algebra is one of the main areas of pure mathematics that uses mathematical statements such as term, equations, or expressions to relate relationships between objects that change over time.Here ...

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Patterns Within Systems Of Linear Equations

23 Mar 2015 04 May 2017

5 (1,938 )

The purpose of this report is to investigate systems of linear equations where the systems' constants have mathematical patterns. The first system to be considered is a 2 x 2 system of linear of equations: In the first equation, the constants are 1, 2, and 3 in that order. It is observed that each constant is increased by 1 from the previous constant. Thus, the constants make ...

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Construction Of Real Numbers

23 Mar 2015 03 May 2017

9 (3,333 )

All mathematicians know (or think they know) all about the real numbers. However usually we just accept the real numbers as 'being there' rather than considering precisely what they are. In this project I will attempts to answer that question. We shall begin with positive integers and then successively construct the rational and finally the real numbers. Also showing how real numbers satisfy the axiom of the ...

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Priemgetallen

23 Mar 2015 03 May 2017

20 (7,955 )

Voorwoord Het stond vast, ons onderwerp werd priemgetallen. Onze kennis in verband met priemgetallen reikte niet verder dan "de getallen die deelbaar zijn door 1 en zichzelf". En we vroegen ons af wat er nog meer over te zeggen valt. Na even te surfen op het internet bleek al snel dat er veel informatie te vinden was. Priemgetallen hebben vele wiskundigen door de geschiedenis geboeid. Zo ...

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String Definition And Concatenation Of Strings

23 Mar 2015 02 May 2017

5 (1,921 )

For this mini group project, me and my partner have been given a project title to be discussed which is string definition, null string and length, concatenation of strings, substring, and also languages and natural languages. This topic is the subtopics from the main chapter 3 which is Sequences and String. From this chapter basically this chapter help student especially in the application of computer programming. In ...

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Carrying out an open-loop step response on the process trainer pt326

23 Mar 2015 02 May 2017

15 (5,733 )

INTRODUCTION: The control systems are based up on the behaviour of the dynamics systems and it is also a branch of the engineering and mathematical model of the process. The desired output of the system is called as reference. A controller is device which observes and outcome the changes in the output that are affected by the input variables. And it is also used to operate ...

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Examining Matrices Of Relation

23 Mar 2015 01 May 2017

6 (2,031 )

History of matrix had to be going back to the ancient times, because it is not applied until 1850. Matrix is the Latin word for womb, and is same in English. It can also mean something is formed or produced. Matrix was introdeced by James Joseph Sylvester,who have brief career at the University of Virginia, which came to an abrupt end after an enraged Sylvester, hit a ...

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Gas sensors on zinc oxide nanostructures

23 Mar 2015 01 May 2017

21 (8,285 )

Introduction Gas sensors based on semiconducting metal oxides are being widely used for sensing gases and vapors. The initial momentum was provided by the findings of Seiyama et al. in metal oxide-gas reaction effects in 1962. It was shown that the electrical conductivity of ZnO can be changed by the presence of reactive gases in the air. The merits of these sensors include their reliability, low cost ...

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The break-apart method

23 Mar 2015 24 Apr 2017

28 (11,158 )

What is an example of a calculation using one operation (addition, subtraction, multiplication, or division) that cannot be easily computed mentally? What are some strategies you can use to mentally solve this expression? Which mathematical properties does your strategy require? Respond to classmates that may have chosen a different operation. Identify any similarities or differences from the way you solved your operation. Think about another way your ...

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Unitary matrix

23 Mar 2015 18 Apr 2017

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INTRODUCTION Unitary matrix In mathematics, a unitary matrix is an n by n complex matrix U satisfying the condition where , is the identity matrix in n dimensions and , is the conjugate transpose (also called the Hermitian adjoint) of U. Note this condition says that a matrix U is unitary if and only if it has an inverse which is equal to its conjugate transpose A ...

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Imaginary and complex numbers

23 Mar 2015 13 Apr 2017

3 (904 )

When Are We Ever Going to Use This? – Imaginary and Complex Numbers The number √-9 may seem impossible, and it is when talking about real numbers. The reason is that when a number is squared, the product is never negative. However, in mathematics, and in daily life for that matter, numbers like these are used in abundance. Mathematicians need a way to incorporate numbers like ...

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Fibonacci Sequence

03 Oct 2016 28 Feb 2017

5 (1,999 )

How Does the Fibonacci Sequence Relate to Nature and Other Math Processes? Nature is all around us, and because I spend a lot of time outside I have been able to enjoy and observe all that nature has to offer. Due to the fact that I love science and discovering how everything around me functions and relates to everything else, I decided to investigate the relation ...

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Teaching maths

03 Oct 2016 28 Feb 2017

7 (2,572 )

Introduction Mathematics is an essential part of our world and an important life skill. In our society today, we are bombarded by numberous data that requires us to record, sort and organize. We need to use mathematics not only at our work places, but also in our everyday life. Even simple daily tasks like making a purchase or financial recording at home needs mathematical skill. By ...

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Observing a mathematics lesson

23 Mar 2015 22 Jun 2015

3 (995 )

Introduction: The world in which we live is mathematical. In our everyday activities we need mathematics for instance; there is need in everyone for mathematical thinking as well as problem solving in the workplace, at home, when in a shopping spree, etc. In a world of such kind, you notice that those who comprehend and can operate mathematics will have immense opportunities that others lack. In fact, ...

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Laplace transforms

23 Mar 2015 22 Jun 2015

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Laplace Transforms – Motivation convenience – differential eqns become algebraic eqns. – easy to handle time delays – frequency response analysis to determine how the system responds to oscillating inputs Block Diagram Algebra – doing math with pictures – arithmetic for manipulating dynamic components using boxes and arrows Laplace Transform – Review Given a function f(t) Notes - f(t) - defined for t from 0 ...

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History And Importance Of Algebra Mathematics Essay

23 Mar 2015

13 (5,137 )

In this project I will talk about starting of history of the algebra which is one of most important branches of arithmetic and Founder of the algebra and meaning of algebra and its benefit of our daily life, how we can learn and teach best way. History of algebra Algebra is an ancient and one of the most basic branches of mathematics. although inventor is Muhammad Musa Al-Khwarizmi, It ...

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Laplace transformations and their application

23 Mar 2015

4 (1,485 )

INTRODUCTION Pierre-Simon Laplace (1749-1827) Laplace was a French mathematician, astronomer, and physicist who applied the Newtonian theory of gravitation to the solar system (an important problem of his day). He played a leading role in the development of the metric system. The Laplace Transform is widely used in engineering applications (mechanical and electronic), especially where the driving force is discontinuous. It is also used in process control. ...

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Digital signature

23 Mar 2015

5 (1,907 )

I. Introduction The main role of digital signature primitive is to preserve the data integrity of electronic document and to accomplish the requirement of authentication and verification. Only one signer using his/her private key generates an ordinary digital signature scheme. However, in some practical application, a document requires all group members to generate a signature together. These schemes are called digital multisignature schemes [2], in which all ...

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Fibonacci And The Golden Ratio Mathematics Essay

23 Mar 2015

11 (4,165 )

Some aspects of mathematics can be dull and tedious from start to end, much of it however is intriguing and inspiring, when you truly see the beauty and the relevance. This is why I would like to bring to your attention the magic of the Fibonacci numbers. If you have ever looked at a sheet of paper and wondered Why do we use those dimensions? or looked ...

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The central limit theorem

23 Mar 2015

2 (771 )

The Central Limit Theorem The central limit theorem is the second fundamental theorem in probability after the ‘law of large numbers.' The‘law of large numbers'is atheoremthat describes the result of performing the same experiment a large number of times. According to the law, theaverageof the results obtained after a large number of trials should be close to theexpected value, and will tend to become closer to this ...

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Definite integral

23 Mar 2015

4 (1,346 )

DEFINITE INTEGRAL Integration is an important concept in mathematics which, together with differentiation, forms one of the main operations in calculus. Given a function ƒ of a real variable x and an interval [a, b] of the real line, the definite integral, is defined informally to be the net signed area of the region in the xy-plane bounded by the graph of ƒ, the x-axis, and the ...

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Maxima And Minima Of Functions Mathematics Essay

23 Mar 2015

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Maxima and Minima are important topics of math's Calculus. It is the approach for finding maximum or minimum value of any function or any event. It is practically very helpful as it helps in solving the complex problems of science and commerce. It can be with one variable of with more than one variable. These can be done with the help of simple geometry and math functions. ...

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Set theory

23 Mar 2015

5 (1,900 )

Set Theory and Georg Cantor Georg Ferdinand Ludwig Phillipp Cantor, or Georg Cantor, was one of the groundbreaking mathematicians to approach the concept of infinity. He worked intensively with set theory, working with the cardinality of sets, one-to-one correspondence, transcendental numbers, and different types of infinity. Over the course of the study, we shall take a journey through Cantor's life, works, and arguments. First, Richard Dedikind ...

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Equity and social justice in the teaching and learning of mathematics

23 Mar 2015

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Equity and Social Justice in the teaching and learning of Mathematics Equity and Social justice are important issues in Mathematics teaching. This essay explores the relevance of how Mathematics Education may be a necessary factor in determining the social justice of a child's upbringing, and consider how equity can be used to ensure an education that is fair in its opportunities for all children to achieve progression ...

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Pediatrics and geometry

23 Mar 2015

2 (498 )

Pediatrics and Geometry Pediatrics are physicians who take care of children and adolescents. They take care of the patient since birth until the patient's teenage years. Pediatrics have to do check ups, and examine the children and to make sure they are not ill. (1). They have to treat infections, injuries, many diseases and dysfunctions. Pediatrics also, have to do paperwork, they have to spend time ...

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Quantization process

23 Mar 2015

16 (6,102 )

Quantization is a process of mapping an infinite set of scalar or vector quantities by a finite set of scalar or vector quantities. Quantization has applications in the areas of signal processing, speech processing and Image processing. In speech coding, quantization is required to reduce the number of bits used for representing a sample of speech signal there by the bit-rate, complexity and memory requirement can ...

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Conic section

23 Mar 2015

5 (1,747 )

Conic Section The names parabola and hyperbola are given by Apolonius. These curve are infact, known as conic sections or more commonly conics because they can be obtained as intersections of a plane with a double napped right circular cone. These curves have a very wide range of applications in fields such as planetary motion, design of telescope and antenna, reflectors in flash light and automobiles headlights ...

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Role Of Mathematical Programming

23 Mar 2015

4 (1,487 )

Introduction In order to survive and lead today's highly competitive and demand driven market, there is a great deal of pressure on management to make economical decisions. One of the essential managerial skills is the ability to allocate and utilize resources appropriately in the efforts of achieving the optimal performance efficiently. Mathematical models have long played an important role in management and economics but it is only ...

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Gaussian Mixture Model

23 Mar 2015

7 (2,547 )

Many computer related vision technology, it is critical to identify moving objects from a sequence of videos frames. In order to achieve this, background subtraction is applied which mainly identifies moving objects from each portion of video frames. Background subtraction or segmentation is a widely used technique in video surveillance, target recognitions and banks. By using the Gaussian Mixture Model background model, frame pixels are deleted from ...

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The ability of a metal

23 Mar 2015

26 (10,386 )

...

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Dislike of mathematics amongst secondary students

23 Mar 2015

7 (2,639 )

DISLIKE OF MATHEMATICS AMONGST SECONDARY STUDENTS 1. INTRODUCTION Why do kids, students and adults seem dislike mathematics? It is quite common for small children to say “I love numbers”. Do they really know exactly what mathematics is? We always see small children counting numbers from 1 to 10, even sing a song make up from the numbers. But what happen to these children as they grow up? ...

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Linear algebra

23 Mar 2015

9 (3,294 )

1. INTRODUCTION: Linear algebra comprises of the theory and application of linear system of equation, linear transformation and Eigen value problem. In linear algebra, we make a systematic use of matrix and lesser extent determinants and their properties. Determinants were first introduced for solving linear systems and have important engineering applications in system of differential equations, electrical networks, Eigen value problems and so on. Many ...

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Application of complex number in engineering

23 Mar 2015

8 (3,006 )

INTRODUCTION A complex number is a number comprising area land imaginary part. It can be written in the form a+ib, where a and b are real numbers, and i is the standard imaginary unit with the property i2=-1. The complex numbers contain the ordinary real numbers, but extend them by adding in extra numbers and correspondingly expanding the understanding of addition and multiplication. HISTORY OF COMPLEX NUMBERS: ...

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What is mathematics?

23 Mar 2015

7 (2,505 )

What is mathematics? Mathematics is the science and study of quantity ,structure ,space and change. There is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. The mathematician Benjamin Peirce called mathematics "the science that draws necessary conclusions". Albert Einstein, on the other hand, stated that "as far as the laws of mathematics refer to reality, they are not certain; ...

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The Mystery Behind Sudoku Mathematics Essay

23 Mar 2015

9 (3,320 )

Puzzle games can be very enjoyable and is popular amongst kids as well as adults. Many of you may know the game Sudoku; where by the goal of the game is to fill in the remaining empty cells with each number from 1-9 appearing no more than once from each column, each row and each of the nine sub-grids. Sudoku is a type of logic-based numerical puzzle ...

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Applications Of The Pigeonhole Principle Mathematics Essay

23 Mar 2015

9 (3,462 )

We begin our discussion with a common daily embarrassing moment. Suppose that in one's dresser drawer, he has socks of three different colours (all placed in messy order). Having to get up early in the morning while it is still dark, how does he ensure that he gets a matching pair of same coloured socks in the most convenient way without disturbing his partner? While, the answer ...

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The Irrationality Of The Mathematical Constant E Mathematics Essay

23 Mar 2015

8 (3,078 )

This dissertation gives an account of the irrationality of the mathematical constant. Starting with a look into the history of irrational numbers of which is a part of, dating back to the Ancient Greeks and through to the theory behind exactly why is irrational. 1. Introduction: In this paper, I aim to look at some of the history and theory behind irrational numbers ( in particular). It ...

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The Mathematical Mystery Behind Sudoku Mathematics Essay

23 Mar 2015

10 (3,958 )

Puzzle games can be very enjoyable and is popular amongst kids as well as adults. Many of you may know the game Sudoku; where by the goal of the game is to fill in the remaining empty cells with each number from 1-9 appearing no more than once from each column, each row and each of the nine sub-grids. Sudoku is a type of logic-based numerical puzzle ...

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What are that iteration methods compare different iterative method?

23 Mar 2015

6 (2,011 )

What are that iteration methods compare different iterative method? What are the iteration methods? An iterative method is a powerful device of solving and finding the roots of the non linear equations. It is a process that uses successive approximations to obtain more accurate solutions to a linear system at each step. Such a method involves a large number of iterations of arithmetic operations to arrive at ...

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