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Essays on MATHEMATICS
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Negative Numbers
  Term Paper ID:47250
Essay Subject:
history of negative numbers ... More...
6 Pages / 1350 Words
4 sources, 10 Citations, APA Format
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Paper Introduction:
history of negative numbers Introduction The history of negative numbers is traced and discussed in this paper In addition to tracing and discussion the history of negative numbers inmathematics specific issues are addressed with respect to the work of JohnWallis in the th century in relation to negative numbers The discussionsbegin with the review of the history of negative numbers Tracing and Discussing the History of Negative Numbers The great stumbling-block to the acceptance of the concept of anegative number was the

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History of Zero
  Term Paper ID:47097
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Paper Introduction:
history of zero Introduction The findings of a review into the history of zero are presented inthis paper In addition to tracing the history of zero specific questionsare addressed in relation to the mathematical applications of zero One ofthese questions concerns the issue of zero as both a number and as aplaceholder Further questions are addressed with respect to theincorporation of zero into the elementary arithmetical functions ofaddition subtraction multiplication Tracing the History of Zero After reading Rotman Kaplan and Kaplan Seife

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The History, Epistemology and Pedagogy of Mathematics
  Term Paper ID:46920
Essay Subject:
This paper discusses the cultual history of mathematics from ancient to contemporary times The ...... More...
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1 sources, 17 Citations, APA Format
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Paper Abstract:
This paper discusses the cultual history of mathematics from ancient to contemporary times. The paper also discusses our knowledge about mathematics, and considers the view that there are some things that are beyond the limits of knowledge. In addition, the paper addresses how the teaching of mathematics has developed over time.

Paper Introduction:
Introduction Mathematics is important to human life in various ways The use ofmathematics ranges from simple everyday applications such as measuringingredients for cooking a meal to complex technological applications suchas designing a spacecraft for exploring other planets Mathematics as itis used today evolved over thousands of years and involved thecontributions of various cultures This paper will discuss the culturalhistory of mathematics as well its epistemology and pedagogy Cultural History of Mathematics Historians do not know exactly when and how mathematics began Berlinghoff

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Fibonacci Numbers
  Term Paper ID:46167
Essay Subject:
This paper provides a discussion of the Fibonacci number and sequences as well as ...... More...
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7 sources, 20 Citations, MLA Format
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Paper Abstract:
This paper provides a discussion of the Fibonacci number and sequences as well as a discussion of Lucas numbers and sequences. How both of these infinitesimal sequences are used in applications to help financial analysts and stock traders is a focus.

Paper Introduction:
The Fabulous Fibonacci Numbers Introduction The series of numbers known as Fibonacci Numbers was discovered inthe early thirteenth century by Leonardo of Pisa a simple mathematicianwho ultimately introduced the Arabic numeral system to the West replacingRoman numerals Grist While trying to solve the math puzzle of rabbitreproduction by studying two rabbits in a cage for a period of twelvemonths Leonardo Fibonacci recorded the following numbers for each month ofreproduction Grist The above pairs of rabbits for each month equate to what is

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Fermat's Last Theorem
  Term Paper ID:46043
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Fermat's Last Theorem... More...
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10 sources, 21 Citations, MLA Format
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Paper Introduction:
fermat\'s last theorem Introduction Pierre de Fermat\'s Last Theorem is described and discussed in thispaper The history of the quest for a proof of Fermat\'s Last Theorem FLT is included in the discussion The importance of FLT to mathematics andsociety also is considered The Derivation of Fermat\'s Last Theorem The Fermat introduced his last theorem to the mathematics community in Quite simply the FLT states that when three positive integers areeach raised to the power n the equation an bn cn has

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Sampling Data
  Term Paper ID:45999
Essay Subject:
Examines the factors that go into selecting a sample and determining the proper size ...... More...
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Paper Abstract:
Examines the factors that go into selecting a sample and determining the proper size for a sample.

Paper Introduction:
Today there are dozens of polling firms that conduct research onpublic opinion For example if you go to the omnibus political websiteReal Clear Politics you will find a page dedicated to opinion polling on avariety of issues Take a look at the page which examines PresidentObama\'s Job Approval At the top of the page is a list of just the mostrecent polls but further down the page there is a catalog of all the pollsconducted going back to the day Obama took

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Medieval Mathematical Story
  Term Paper ID:45972
Essay Subject:
This paper is a medieval story that includes 18 mathematical terms referencing cones and ellipses.... More...
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Medieval Mathematical Story In a medieval kingdom the town was festooned with brightly coloredstreamers in honor of Princess Marcella\'s st birthday Now old enough tomarry by the king\'s decree she was being wooed by knights To chooseamong her suitors Marcella had the knights sit at a great oaken table atwhich at each place was a foot-tall cone-shaped cake Her words to thesuitors were The first of you who by cutting your cake can declare yourlove for me will win my hand in

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The Massachusetts Lottery
  Term Paper ID:45873
Essay Subject:
Evaluates two games in the Massachusetts States Lottery and why playing the lottery is ...... More...
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Paper Abstract:
Evaluates two games in the Massachusetts States Lottery and why playing the lottery is a bad idea.

Paper Introduction:
Lottery Lunacy-The Massachusetts Lottery Introduction Massachusetts has a lottery with different types of games that areopen to individuals years of age or older Revenues from the games gointo the general fund after payouts to winners and expenses are made Winning the lottery is a common fantasy for many people around the world asit brings with it dreams of quitting dead-end jobs and putting an end tofinancial worries Critics of state-run lotteries maintain that they arenothing more than state-sanctioned gambling that imposes undue

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Origins of the Metric System in Revolutionary France
  Term Paper ID:45793
Essay Subject:
Considers the origins of the metric system in revolutionary France. ... More...
4 Pages / 900 Words
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Paper Introduction:
Origins of the Metric System in Revolutionary France Introduction The French Revolution brings to mind many images including theguillotine Marie Antoinette intoning let them eat cake and the riseand fall of Napoleon Bonaparte Of the many reforms promised at thebeginning of the revolution including implementing a new religion based onreason and a new calendar that would supplant the Gregorian calendar themetric system is one of the most long-lasting even if most people do notrealize that it is a product of the French

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Optimal Production Mix
  Term Paper ID:45608
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1 Pages / 225 Words
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Paper Introduction:
Profit associated with optimal production mix The problem to be solved is the determination of the profit that isassociated with an optimal production mix The production mix is subject totwo constraints The two constraints are as follows Labor X Y Materials X Y The optimal production mix is determined graphically The solution ispresented in the Production Mix Feasibility Chart that may be found on thefollowing page The production feasibility area is defined by points a b c and on the chart The

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Linear Programming
  Term Paper ID:45338
Essay Subject:
na... More...
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Paper Introduction:
linear programming problem It is assumed that the maximum amount of labor X that is availableto Ryan next week is units It is assumed further that the maximum amountof material that is available to Ryan next week is units Productionlevel for next week must satisfy two constraints The two constraints areas follows X Y production units X Y production units The production constraints are illustrated graphically in the linearprogramming graph on the following page The area of production feasibilityis defined by the

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Health Effects of Smoking - Article Review
  Term Paper ID:45072
Essay Subject:
This paper provides a critical evaluation of a research article according to eight specific guidelines.... More...
3 Pages / 675 Words
5 sources, 5 Citations, APA Format
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Paper Introduction:
CRITICAL ANALYSIS OF ARTICLE Guideline Goal of the Study Population and Type of Study This study Evaluation of Smoking Characteristics among Community-Recruited Daily Smokers with and without Posttraumatic Stress Disorder andPanic Psychopathology by Erin Marshall and associates was found asan online article it had been reprinted from a journal The study\'s goalwas to examine whether several cigarette smoking related variables e g nicotine dependence smoking rate quit history severity of symptoms etc significantly differed depending upon whether smokers hadposttraumatic stress syndrome PTSD

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Statistical Reasoning Exercise
  Term Paper ID:45071
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Statistical Reasoning Exercise... More...
5 Pages / 1125 Words
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Paper Introduction:
statistical reasoning discussions and representations of tabular data ingraphical forms - US energy information administration data and statisticalabstract data Introduction This exercise in statistical reasoning is divided into two majorsections The first section deals with data that are available from the Website of the United States Energy Information Administration USEIA Thesecond section involves data that are accessible in the Web site for theStatistical Abstract of the United States Data Available on the Web Site of the USEIA The consideration of the data

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Ancient Greek contribution to modern day mathematics
  Term Paper ID:38401
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This paper looks at the contribution of an ancient civilization to modern day mathematics ...... More...
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5 sources, 14 Citations, APA Format
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Paper Abstract:
This paper looks at the contribution of the ancient Greek civilization to modern day mathematics, particularly the contribution of the ancient Greeks to geometry. It covers Euclid, Pythagoras, Archimedes, Thales, Apolllonius, Nicomedes, Anaxogorass, Auchytas, Eurocius, Eudoxus, Menaechmus. and Aristarchus.

Paper Introduction:
Ancient Greece was one ancient civilization which probablycontributed the most to modern day mathematics particularly to geometry since that seems to be the field they excelled at It gave us such thingsas Pythagoras\' theorem and Euclidean geometry the value of volumes ofcircles and columns and solved problems such as doubling the cube squaring the circle and trisecting an angle Greek Index Euclid though he is not believed to have developed many theorems ingeometry himself was the first to come up with a

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Math Education
  Term Paper ID:37060
Essay Subject:
This paper traces the history of math education from the th century to the ...... More...
8 Pages / 1800 Words
6 sources, 30 Citations, MLA Format
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Paper Abstract:
This paper traces the history of math education from the 18th century to the present, culminating in the Principles and Standards for School Mathematics published by the NCTM. This book is explained and examples provided.

Paper Introduction:
Problem solving Problem solving is a skill that has been in evidence throughout theages from ancient to modern times Problem solving helps students learnmathematics by giving them an opportunity to solidify and extend what theyknow by using problems that come from the world that they understand NCTM As a significant facet of mathematics education problem solving hasgone through an evolution culminating in today\'s standard as presented inPrinciples and Standards for School Mathematics by the National Council ofTeachers of Mathematics Although problem solving

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Hypothesis idenification analysis
  Term Paper ID:36243
Essay Subject:
This paper describes the mathematical probability determined for the interaciton of molecules in solution ...... More...
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Paper Abstract:
This paper describes the mathematical probability determined for the interaciton of molecules in solution. It shows that the equations derived by mathematical probability are the same as those derived from chemistry's law of mass action.

Paper Introduction:
In their paper on Optimization in Chemical Kinetics Benjamin andHogenson present an approach to a mathematical solution to achemical engineering problem Given an abstract initial chemical solutioncontaining X-X molecules they choose how many Y molecules to add to thesolution In this situation a Y molecule may attach permanently to eitherend of an X-X molecule resulting in an X-X-Y molecule with X-X-Y and Y-X-X molecules being identical A Y molecule can also attach permanently toand open X on an X-X-Y molecule to form

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Algebra in everyday life
  Term Paper ID:34887
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This paper uses a problem from everyday life and sets up an algebraic eqation ...... More...
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1 sources, 1 Citations, MLA Format
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Paper Abstract:
This paper uses a problem from everyday life and sets up an algebraic eqation to solve it. It then solves the problem. In this case the problem is a plane flying from San Francisco to Hawaii which experiences an emergency and it is necessary to determine at what point on the flight it is faster to continue to Hawaii than return to San Francisco, given the air speed, the tail wind factor and the distance between San Francisco and Hawaii.

Paper Introduction:
Facts A plane is flying miles from San Francisco to Hawaii It is flyingat a speed of mph and there is a tailwind blowing at mph Problem How many hours after takeoff would it be faster to keep on flying toHawaii than to turn around and fly back to San Francisco if an emergencyoccurred on board The general formula for this type of problem is d s x twhere d distance s speed t timeTo solve the problem we know the speed

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Create a model for solving a general problem
  Term Paper ID:34343
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This paper describes how to solve a general problem and apply it to a ...... More...
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Paper Abstract:
This paper describes how to solve a general problem and apply it to a specific problem by algebraic means. It uses the example of trying to determine the percentage of DNA in a cell nucleus by determining the volume of the DNA cylinder and the spherical nucleus.

Paper Introduction:
Problem what fraction of the volume of a cell nucleus is made up of DNA Basic Facts DNA is cylindrical with a radius of x microns and a lengthof m x microns The nucleus is a sphere with a radius of micronsTo solve the problem it is necessary to find the volume of the DNAcylinder and the volume of the spherical nucleus then divide the volume ofthe DNA by the volume of the nucleus to get the percentage by volume of DNAin

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How Linear Equations Express Market Fluctuations
  Term Paper ID:32986
Essay Subject:
The stock market gives an excellent example of a system of linear equations Tracking ...... More...
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Paper Abstract:
Uses the stock market as an excellent example of a system of linear equations. Tracking the price of a stock as other factors in the economy move can give insight into the stocks sensitivity.

Paper Introduction:
How Linear Equations Express Market Fluctuations There are two determinants of the daily price of a stock in the stockmarket One is the value of the company as determined by the presentvalue of the expected future cash flows paid to the owners The other isthe effect of changing market expectations on the perceived value of thecompany The latter can often be explained as a linear equation To determine the equations that describe a stock\'s sensitivity tomarket factors the price of the stock

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Soft Computing
  Term Paper ID:32004
Essay Subject:
Reviews the development, applications, and future of soft computing... More...
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5 sources, 10 Citations, MLA Format
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Paper Introduction:
soft computing in economics Introduction Soft computing SC refers to a collection of mathematical andreasoning disciplines that when incorporated into decision-making models provide a means for considering the effects of uncertainties on probablyfuture outcomes The mathematical and reasoning disciplines typicallyincluded in the definition of SC are a probabilistic reasoning PR b fuzzy logic FL c neural network computing NN d evolutionarycomputing EC and genetic algorithms GA SC models allow analysts toinclude data characterized by imprecision uncertainty partial truth andapproximation in decision analyses

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Galileo
  Term Paper ID:30911
Essay Subject:
Th is a Biography of a Mathematician Galileo including Place of birth Brief overview ...... More...
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2 sources, 2 Citations, APA Format
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Paper Abstract:
This a Biography of a Mathematician Galileo including Place of birth; Brief overview of family life/upbringing; Education; Countries in which he or she lived and worked; examples of his or her contributions; most important works; and cause of death

Paper Introduction:
Galileo According to Al Van Helden online Galileo was born in Pisa Italy on February the first of six children While his familybelonged to the nobility it was not rich as his father was a musician Once he was old enough to be educated in a monastery his parents sent himto the Camaldolese Monastery at Vallombrosa The Camaldolese Order combinedthe solitary life of the hermit with the strict life of the monk Galileoenjoyed his time at the monastery and he became a

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MATH INSTRUCTION IN AMERICAN SCHOOLS.
  Term Paper ID:30063
Essay Subject:
Discusses the problem of poor performance in mathematics by school children.... More...
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3 sources, 3 Citations, APA Format
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Paper Abstract:
Discusses the problem of poor performance in mathematics by school children. Quality of math instruction. Curriculum. Teaching styles & methods. Various leanring styles of students & different strategies to deal with the aproblem. Auditory/verbal learning style & visual/verbal learning style. Value of test practice. Student centered, hands-on activities to improve math scores.

Paper Introduction:
Palenque is the most important Maya architectural site in Mexico, surpassing even Chichen-itza in its grandeur. Discovered by the Spaniards in the late eighteenth century, Palenque has amazed archaeologists for generations. Palenque’s main attraction for archaeologists lies in its many variations from the Maya norm. The Mayas who constructed the Palenque compound utilized new forms of architecture, unveiled new kinds of art-forms, and left behind perhaps the finest sarcophagus in all the Americas. Because of the sheer number and scope of the revelations that Palenque has provided on the Maya who built it, the site stands as arguably the most important Maya architectural site. Regardless of its standing among its peers, Palenque remains unique because of the hauntingly beautiful nature of the site’s plan and scope.

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HISTORY OF PRIMALITY TESTING.
  Term Paper ID:29764
Essay Subject:
Presents a non-linear analysis.... More...
12 Pages / 2700 Words
12 sources, 24 Citations, APA Format
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Paper Abstract:
Presents a non-linear analysis. Early Chinese Remainder Theorem to recent AKS system. Concept behind the two postulates. Search for a method to efficiently test for prime numbers. Classical definition of a prime number. Concept of collision resistant hashing. Practical application for today's digital security systems.

Paper Introduction:
History of Primality Testing from the Chinese Remainder Theorem to the Agrawal-Kayal-Saxena (AKS) Algorithm Introduction This paper will present a non-linear analysis of the historical concept of primality testing from the earliest days of mathematical consideration as expressed in the Chinese Remainder Theorem to the recently discovered AKS system. Since the Chinese Remainder Theorem, referred to from this point on as CRT was postulated around 300 A.D. and the AKS was discovered in 2002, that gives a time span of some 1700 years to consider, were we to do it in a linear fashion. Instead, this paper will focus on the concept behind the two postulates and one of the driving reasons behind them -- specifically the search for a method to efficiently test for prime numbers.

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CONSTRUCTION OF PYRAMIDS.
  Term Paper ID:28686
Essay Subject:
Reviews application of mathematics by ancient Egyptians in design & construction of Pyramids. 2 Exhibits.... More...
5 Pages / 1125 Words
6 sources, 8 Citations, APA Format
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Paper Abstract:
Reviews application of mathematics by ancient Egyptians in design & construction of Pyramids. 2 Exhibits.

Paper Introduction:
THE APPLICATION OF MATHEMATICS IN THE CONSTRUCTION OF THE PYRAMIDS IN EGYPT This research reviews the application of mathematics by the ancient Egyptians in the construction of pyramids. This research focuses on two issues. The first issue involves the mathematical principles that, of necessity, were applied in the construction of the pyramids. The second issue concerns the contention by some people that alien civilizations from outer space were the source of mathematical knowledge required for the construction of the pyramids in Egypt, as the Egyptians of that era had not developed the knowledge of mathematics required for such an undertaking. A pyramid is a polyhedron whose base is a polygon and whose sides are triangles having a common vertex. The pyramids at Giza

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HIGHER MATHEMATICS.
  Term Paper ID:26387
Essay Subject:
Examines major concerns, public view of, practical applications, examples, probability theory, number theory.... More...
7 Pages / 1575 Words
11 sources, 22 Citations, MLA Format
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Paper Abstract:
Examines major concerns, public view of, practical applications, examples, probability theory, number theory.

Paper Introduction:
Higher mathematics is a subject that has always seemed completely inaccessible to all but the select few who could breathe in the rarefied atmosphere of the intellectual plane where it lives. Just as mathematics seems to be beyond most people's intellectual grasp, however, it also seemed to make absolutely no difference to the great majority of the population. Number theory, probability theory, mathematical modeling, the mysterious math used in computer technology, and even statistics and mathematical reasoning seemed to have little to do with daily life, work, or anything that was of much interest to the average man, woman, or child. When a mathematician somewhere in Great Britain announced a few years ago that he had solved the problem of Fermat's Last Theorem the news made no difference to the vast majority of people, while a few, vaguely remembering the story of

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AIRLINE COMPETITION & GAME THEORY.
  Term Paper ID:25191
Essay Subject:
Applies game theory to airlines' fare-setting. Description of economic & mathematical theory, modeling & strategies, yield management, zero-sum. Abstract.... More...
13 Pages / 2925 Words
11 sources, 23 Citations, TURABIAN Format
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Paper Abstract:
Applies game theory to airlines' fare-setting. Description of economic & mathematical theory, modeling & strategies, yield management, zero-sum. Abstract.

Paper Introduction:
ABSTRACT One research question was addressed in this study. That question is as follows: “Can the competitive behavior of air transportation companies in the United States market in relation to setting fares be explained as an application of game theory?” Game theory, as applied in the airfare wars. forecasts how competitors will respond when confronted with certain competitive situations. When formulating business strategy, no company can afford to ignore how competitors will behave. Game theory is based on the premise that in any competitive situation there are factors at work which lend themselves to mathematical representation and analysis. In turn, these representations and analyses will help explain how a result will occur. The findings of this research indicate that the airfares competition gives the appear

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QUANTITATIVE DECISION MAKING.
  Term Paper ID:24234
Essay Subject:
Examines process of decision making about probable future occurrences based on objective data & subjective insight, using Bayesian statical analysis.... More...
10 Pages / 2250 Words
8 sources, 23 Citations, MLA Format
$40.00
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Paper Abstract:
Examines process of decision making about probable future occurrences based on objective data & subjective insight, using Bayesian statical analysis.

Paper Introduction:
INTUITION, EXPERIENCE, AND QUANTITATIVE DECISION-MAKING Introduction Quantitative decision-making is thought of most often as an objective exercise based only on the cold analysis of verifiable hard facts. Intuition and even experience tends to be excluded from quantitative decision-making on the grounds that such information is subjective in character, and, thus, has no role in quantitative analysis. Quantitative decision-making is based in large part on the ability of decision-makers to make inferences about the probabilities of occurrence of future events from the analyses of objective data (Markowitz and Xu 60-69). One means of improving probability estimates in such predictions, however, is the application of Bayes’ Theorem (Peebles 17-19). Classical sta

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ECONOMETRICS.
  Term Paper ID:24191
Essay Subject:
Mathematical analysis of economic problems. Advantages, goals, methods, models, applications, limitations.... More...
6 Pages / 1350 Words
5 sources, 11 Citations, APA Format
$24.00
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Paper Abstract:
Mathematical analysis of economic problems. Advantages, goals, methods, models, applications, limitations.

Paper Introduction:
APPLICATION OF MATHEMATICAL METHODS IN ECONOMIC ANALYSIS When mathematical methods and statistical techniques are applied to the analysis of economic problems and issues, the term usually applied to the process of applied economics is econometrics (Ekelund & Hébert, 1991, p. 372). The goal of econometrics is the development of valid, reliable, and value free predictive models of economic phenomena. Alan Greenspan (1991, p. 52), Chairman of the Federal Reserve Board, stressed the importance of econometric models as a means of providing a clear understanding of economic events. He argued that the greatest advantage of a “fully articulated model is that it helps the forecaster keep track of the interrelationships among the primary variables of interest” (Greenspan, 1991, p. 53). Within the context of this argument, he

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PLANE PROJECTIVE GEOMETRY.
  Term Paper ID:23215
Essay Subject:
Technical analysis of mathematical process involved in producing Reuleaux triangle from equilateral triangle.... More...
10 Pages / 2250 Words
4 sources, 20 Citations, TURABIAN Format
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Paper Abstract:
Technical analysis of mathematical process involved in producing Reuleaux triangle from equilateral triangle.

Paper Introduction:
Reuleaux Triangles The Reuleaux triangle is derived from an equilateral triangle. It is produced by replacing each side of the equilateral triangle with the arc of a circle. These two-dimensional triangles can be used to create somatocharts. Three-numeral somatotype data can additionally be plotted within a standard rectangular coordinate axis system. Geometric figures may be analyzed according to their component parts. Perhaps the most basic components of the Reuleaux triangle consist of those points which comprise it. The position of a point in a plane can be given by means of two numbers. For example, x, y can be the distances of a point, P, from two given perpendicular lines. Given this information, the position of P can be determined when the values of both x and y

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MATHEMATICS & LITERATURE.
  Term Paper ID:23084
Essay Subject:
Use of poetry & stories to foster children's reasoning & performance in math.... More...
6 Pages / 1350 Words
6 sources, 16 Citations, MLA Format
$24.00
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Paper Abstract:
Use of poetry & stories to foster children's reasoning & performance in math.

Paper Introduction:
MATHEMATICS AND LITERATURE Can literature be used to foster mathematical reasoning and performance? The answer, according to Curcio, Zarnowski and Vigliarolo (1995) is "yes." Indeed, the authors feel that poetry dealing with numbers is a particularly good literary mode for sparking mathematical interest and facilitating comprehension. An example of how poetry dealing with numbers can facilitate math learning is provided by Curcio et. al (1995) in their description and discussion of children's responses to a poem entitled, "Overdues." In the book, a character owes the library a fine for a book he has not returned in 42 years. Based on their discussion of the poem, children became interested in determining just how much money was owed to the library. With respect to learning, in their attempts to compute the

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