Mathematical Happenings Paper

In: Other Topics

Submitted By debieaton84
Words 736
Pages 3
Mathematical Happenings

Egypt is one of the advanced civilizations in the ancient world. If it was not for them and their advancements in mathematics, the world we live in now would be a very different place. They paved the way for the Greeks and other ancient civilizations to continue improving not only the world of math but also most other industries.
One of the first people to start writing down anything were the Ancient Egyptians. They needed to keep track of the days for planting and harvesting, they needed geometry to build things, and arithmetic for trading purposes. It paved the way for the barter system. They needed a way to figure out how much of something else they would get for their product. The members of the Egyptian society that were in charge of numbers and keeping track of the surplus of good were priests. Their jobs besides their religious duties were in charge of creating a writing system, keeping records, create a calendar, watch the sky for astrological events and other intellectual endeavors. The number system for Ancient Egypt was called hieroglyphics. The system is based on groupings of 10. The numbers each have a name. The number 1 is called the stick, the number 10 is called the heel bone, the number 100 is called the scroll, the number 1,000 is called the lotus flower, the number 10,000 is called the bent finger or snake, the number 100,000 is called the burbot fish or tadpole and the number 1,000,000 is called the astonished man.

With these glyphs, they had ability to write very large numbers and with that ability, they could keep track the quantities of food, soldiers, slaves, or livestock.
Their way of multiplication was unique. They considered it as repeated addition based on doubling. Doubling means adding the number to itself to get the next number. For example, 1, 2, 4, 8, 16, 32, 64, and 128. To understand…...

Similar Documents

Mathematical Happenings Ancient Egypt

...Individual Development Paper Tenisha Spears PSY/301 April 14, 2013 Ms. Joanne Johnson Individual Development Paper In attendance stand several individuals by diverse morals and proper criteria that at hand could exist particular that are comparable to one, nevertheless, I trust that there are on no account dualistic just identical. Individual's consciences and principles are encouraged by family beliefs, upbringing and setting. My household, old-fashioned principles remained exact vital to family rearing. The thoughts of faith, kinfolk, harmony, decency, and teaching were planted from birth. My sisters and I was showed to speak when spoken too, other than that is quiet. I was introduced to diversity before I could read well; being one of seven children conveyed up by different father than my sisters and in the equal situation with the equal morals in what way inversely family beliefs and integrities are. As a toddler I can recall my parents incorporated in my sisters and me how God is the utmost significant entity in existence. Everyone knew nothing came before God first, then was family, we said our prayers in the morning and at bedtime, to acknowledge God for his being in our lives, family, and those that did not wish us to do well(haters). We attended bible study every Wednesday night at 6:30, and we went to worship service every Sunday. When we could not attend bible study on Wednesday, we could not go out for the rest of the week until......

Words: 1329 - Pages: 6

Shortcut in Mathematical Calculations

...5 → Final Answer ● Difference of Two Square Numbers Given: 16² - 25² Steps: - Get the sum of the two base numbers 25 + 16 = 41 - Difference of the two base numbers 25 – 16 = 9 - Multiply the sum and difference 41 × 9 = 369 ↓ Final Answer Examples: 1. Given: 17² - 20² - 20 + 17 = 37 - 20 – 17 = 3 - 37 × 3 = 111 → Final Answer 2. Given: 58² - 69² - 69 + 58 = 127 - 69 – 58 = 11 - 127 × 11 = 1397 → Final Answer 3. Given: 45² - 51² - 51 + 45 = 96 - 51 – 45 = 6 - 96 × 6 = 576 → Final Answer SHORTCUTS IN MATHEMATICAL CALCULATIONS (Project in Number Theory 8) Phoebe Kyle Nadine B. Malig-on 8 – Archimedes Mdme. Marichu S. Gajardo (subject teacher)...

Words: 535 - Pages: 3

What Is Happening to Jobs

...Analytical summary on the following reading: Edwards, Paul and Wajcman, Judy in Edwards, P. and Wajcman, J., 2005, The Politics of Working Life, Oxford University Press, Oxford, pp. 19-43. What is Happening to Jobs? The main theme in which Edwards et al. portrays within the chapter of ‘What is Happening to Jobs?’ in ‘The Politics of Working life is what individuals expect from work and how those prospects are formed. Through work we can establish our ambitions and our talents and advance our social selves, where as individual and communal work is a vital foundation of meaning and satisfaction in our lives. Conversely, work can therefore create dissatisfaction for individuals. The key points of the chapter are market individualism, alienation and the division of labour, the changing character of labour, and subjectivity, status and satisfaction. Market individualism is created by the negotiation between employers and employees of a labour contract of an employee’s labour for a wage in return, along with which the wages are spent on supplies suited to an individual’s needs. The notion of ‘consumer sovereignty’ conveys that the individual is the best judge of their preferences and therefore individuals are able to enter into contracts to give away his or her labour. Alienation and the division of labour demonstrate that ‘structured antagonism’ (Edwards 1986) is implanted within employment relationship, meaning that is characterised by the potential for conflict as well as......

Words: 749 - Pages: 3

Mathematical Competence of Grade 7 Students

...mathematics should be taught. The principles that underlie this approach are strongly influenced by Hans Freudenthal's concept of 'mathematics as a human activity'. He felt that students should not be considered as passive recipients of ready-made mathematics, but rather that education should guide the students towards using opportunities to reinvent mathematics by doing it themselves.Study situations can represent many problems that the students experience as meaningful and these form the key resources for learning; the accompanying mathematics arises by the process of mathematization. Starting with context-linked solutions, the students gradually develop mathematical tools and understanding at a more formal level. Models that emerge from the students' activities, supported by classroom interaction, lead to higher levels of mathematical thinking.For more information about RME in the Netherlands, see: * Mathematics education in The Netherlands, a guided tour (pdf). * Realistic Mathematics Education: work in progress.Other relevant research publi | One of the key issues to look at when examining any Learning Theory is Transfer of Learning. Indeed, this is such an important idea, that it is a field of research in its own right. Researchers and practitioners in this field work to understand how to increase transfer of learning -- how to teach for transfer.IntroductionConstructivismSituated LearningTransfer of LearningGeneral Learning Theory ReferencesTop of......

Words: 5288 - Pages: 22

Math Happenings

...University Press. Retrieved from Wikipedia website: Merriam-Webster (1996). Merriam-Webster’s Collegiate Dictionary (10th ed.). Springfield, MA. Merriam-Webster (1988). Merriam-Webster’s Collegiate Thesaurus. Springfield, MA. O’Connor, J. J., & Robertson, E. F. (2009). History Topic: Prime Numbers. Retrieved from University of Phoenix website: O’Connor, J. J., & Robertson, E. F. (2009). History Topic: A history of Zero. Retrieved from University of Phoenix website: Penner, Robert C. (1999). Discrete Mathematics: Proof Techniques and Mathematical Structures. World Scientific. Retrieved from Wikipedia website:

Words: 908 - Pages: 4

Gcc Is Happening

...AD P1). GCC is happening. P2). We will have economic catastrophes. P3). We will have disease epidemics. P4). The government will collapse. CC). Something needs to be done to stop GCC. When listening to this argument the arguer commits several fallacies. The first fallacy that was committed was appeal to unqualified authority. He is a science teacher not someone who specializes in GCC, so how can he know if any of these events will happen? This is not his area of specialty. The second fallacy that was committed was appeal to ignorance. I chose this fallacy because he has presented no evidence besides his chart with the columns and rows. This is not enough information to go on to say that GCC is happening or not. The third fallacy committed was false cause. I say he committed this fallacy because what does GCC have to do with bread baskets of the USA and Russia turning to dust bowls causing catastrophic famines, or sea levels rising 10-20 feet. How can he be sure of this kind of catastrophes? Another fallacy that is committed is slippery slope. This fallacy is committed when the arguer commits this fallacy by saying of we don’t take action against GCC the end results are negative or undesirable. Basically a cause and effect event. The arguer has no evidence that GCC is happening or will happen so how can he be sure that it will or won’t happen. I also would say that the arguer is using the fallacy of appeal to emotion. I say this fallacy is being used because he asks...

Words: 681 - Pages: 3

Mathematical Techniques for Economists 112ecn

...Mathematical Techniques for Economists 112ECN INVESTMENT APPRAISAL USING A SPREADSHEET As the mathematics involved in calculating the NPV of a project can be quite time consuming, a spreadsheet program can be a great help. Although Excel has a built in NPV formula, this does not take the initial outlay into account and so care has to be taken when using it. Example An investment requires an initial outlay of £25,000 with the following expected returns: £5,000 at the end of year 1 £6,000 at the end of year 2 £10,000 at the end of year 3 £10,000 at the end of year 4 £10,000 at the end of year 5 Is this a viable investment project if money can be invested elsewhere at 15%? Solution Follow the instructions set out below: CELL Enter Explanation A1 NPV Example Label to remind you what example this is A3 YEAR Column heading label B3 RETURN  Column heading label C3 PV Column heading label C1 Interest rate = Label to tell you interest rate goes in next cell.  D1 15% Value of interest rate. (NB Excel automatically treats this % format as 0.15 in any calculations.) A4 to A9 Enter numbers 0 to 5 These are the time periods B4 -25000  Initial outlay (negative because it is a cost) B5 5000 Returns at end of years 1 to 5  B6 6000 B7 10000 B8 10000 B9 10000 C4 =B4/(1+$D$1)^A4 Formula calculates PV corresponding to return in cell B4, time period in cell A4 and interest rate in cell D1. Note the $ to anchor cell D1. C5 to C9 Copy cell C4......

Words: 1248 - Pages: 5

Measles Mathematical Model

...UCI Program in Public Health Seminar Series Andrew Noymer, Ph.D. and Katelyn C. Corey “I’m going to Disneyland”, Or: what levels of vaccination are necessary for measles control and eradication?” Monday, May 4, 2015 12:00 PM - 1:00 PM  Calit2 Auditorium * Presentation is based on a mathematical model of measles transmission in developing countries * Rescheduled seminar due to Stéphane Helleringer, Ph.D inability to attend * Corey UCI public health major, fall graduate school in UCLA * Noymer Ph.D in sociology from UCBerkeley * M.Sc., London School of Hygiene & Tropical Medicine * Is now an associate professor in population health and disease prevention in public health school UCI * Ross Model of malaria, 1911 * Dm/dt = bf’ (1-m) vm * Where m is malaria rate in humans, b is mosquito bite rate, f = Pr (infectious|infected) f’ for mosquitos, density of mosquitos: a: overall u: infected, v is the recovery rate, h is the hatch (birth) rate of mosquitos * 2 equation ODE model * Feedback loop * This equation had remained influential to this day * You do not get measles twice * Kermack-mckendrick model * Measles is a viral disease of humans caused buy the measles virus * Highly contagious * Family of paramyxoviridae * Prodrome period * Said it came 10,000 years ago when we tried to domesticate wild dogs * Vaccine preventable * R0 measures how......

Words: 368 - Pages: 2

Mathematical Circles

...Sadovskii & AL Sadovskii Intuitive Topology: V. V. Prasolov Groups and Symmetry: A Guide to Discovering Mathematics: David W. Farmer Knots and Surfaces: A Guide to Discovering Mathematics: David W. Farmer & Theodore B. Stanford Mathematical Circles (Russian Experience): Dmitri Fomin, Sergey Genkin & Ilia Itellberg A Primer of Mathematical Writing: Steven G. Krantz Techniques of Problem Solving: Steven G. Krantz Solutions Manual for Techniques of Problem Solving: Luis Fernandez & Haedeh Gooransarab Mathematical World Mathematical Circles (Russian Experience) Dmitri Fomin Sergey Genkin Ilia Itenberg Translated from the Russian by Mark Saul Universities Press Universities Press (India) Private Limited Registered Office 3-5-819 Hyderguda, Hyderabad 500 029 (A.P), India Distribllted by Orient Longman Private Limited Regisfered Office 3-6-752 Himayatnagar, Hyderabad 500 029 (A.P), India Other Office.r BangalorelBhopaVBhubaneshwar/Chennai Emakulam/Guwahati/KolkatalHyderabad/Jaipur LucknowlMumbailNew Delhi/Patna ® 1996 by the American Mathematical Society First published in India by Universities Press (India) Private Limited 1998 Reprinted 2002, 2003 ISBN 81 7371 115 I This edition has been authorized by the American Mathematical Society for sale in India, Bangladesh, Bhutan, Nepal, Sri Lanka, and the Maldives only. Not for export therefrom. Printed in India at OriO!'l Print:rs, Hyderabad 500 004 Published by Universities Press (India) Private Limited......

Words: 86787 - Pages: 348

Mathematical Economics and Finance

...Mathematical economics and finance: good or bad? Pareto and Walras were the first to use mathematics in economics and finance at the end of the nineteenth century. They created classical models of the free markets and explained these mathematically. After these models were created, other famous economists came up with mathematical economical ideas, such as Schumpeter and Keynes. Mathematics was used to simplify and clarify various complicated theories. This use resulted in both advantages and disadvantages. This essay will evaluate the uncritical use of mathematics in economics and finance on multiple aspects. Firstly, if one uses mathematics in economics and finance uncritically, one needs to know all the numerical values and other variables to actually explain and predict certain events and its mutual interdependencies. This knowledge is never entirely available, because the values depend on too many particular circumstances. What’s more, the succession of events in the history of the economics does not show any internal coherence, which makes predicting harder. Moreover, there is no controlled experiment in the economic research field and no falsifiable hypotheses are made (Von Hayek, 1989). Furthermore, different economic models have different implications, thus are applicable to according situations. Hence, not one mathematical model could be implemented (Rodrik, 2015). In addition, human beings and their behaviour should be included in the theories of economics.......

Words: 790 - Pages: 4

There's Something Happening Here

...Running head: SOMETHING HAPPENING HERE There’s Something Happening Here: Occupying Wall Street Mindy Newell, R.N., CNOR Grand Canyon University NRS – 432V Teresa Ortner, RNC, MSNEd October 8, 2011 There’s Something Happening Here: Occupying Wall Street The Plan of Action On September 17, 2011, nearly 1,000 protesters gathered around the symbolic sculpture of a charging bull that is the focal point of Bowling Green Park, which is in the financial district of downtown Manhattan, to say to the kings of Wall Street “Enough! No more! You will not continue to profit on the broken backs and weary shoulders of we, the people! You will not destroy the American dream with your greed!” They did not leave, but hoisted tents and unrolled sleeping bags to “Occupy Wall Street” (Smith, 2011). Since that day, the movement has spread across the country, from New York up the coast to Boston, down the coast through Washington to Miami, and across the country through Chicago and St. Louis all the way to Los Angeles, from large metropolises to small towns across America. It has become a genuine social and political movement, utilizing both old media such as newspapers and television news and new media such as Facebook, Twitter, and Youtube (Ellis, Raja & Follman, 2011). Major labor unions, such as National Nurses United, the AFL-CIO, the Communications Workers of America, the United Auto Workers, the United Federation of Teachers, the Writers......

Words: 1865 - Pages: 8

Tessellations: Mathematical Art

...Tessellations: Mathematical Art San Juanita Cramer Southern New Hampshire University The Heart of Mathematics Professor Anca Parrish Abstract This paper discusses the historical background of tessellations, the mathematics of tessellations, and the applications of tessellations in the real world. Tessellations are found everywhere. M.C. Escher is the father of tessellations and his style and examples are discussed as well as the Islamic tessellations. There is an overview of the mathematics that is involved in tessellations and the polygons that can be tessellated and those that can’t. Finally, tessellations are used in real world applications. Examples are given of tessellated buildings and tessellations found in nature. Tessellations: Mathematical Art What is a term used for the tiling a surface without gaps or overlaps? The term is Tessellation. The Math Forum states that “ a tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps” (“What is a Tessellation?”, n.d) Early cultures used tessellations to cover the floors and ceilings of buildings, many of its artistic elements can be found in many early cultures (Hoopes-Myers, 2010). Tessellations are also found in the nature. A perfect example of nature’s tessellation is the honeycomb of the honeybee; there are no gaps or overlaps in its hexagonal shapes. In Ireland, a volcanic episode created tessellations in the landscape of The Giant’s Causeway......

Words: 2820 - Pages: 12

Mathematical Optimization

...Mathematical Optimization: Models, Methods and Applications Final Assignment 06-11-2015 Rasmus pages / 13.137 characters (including spaces) | Part 1 General about part 1 The purpose with this part is to analyze a Single-Sourcing Problem (SSP). A Single-Sourcing Problem of course both has benefits and risks, but I will discuss that furthermore through the assignment. During the assignment I will try to discuss and comment on everything that I do. My code and the answers I receive from can be seen in my appendices. (i) In the first question in part 1, I am asked to solve the SSP using the data in Figure 1. We have 4 facilities and 30 customers. In Figure 1 the demand of each customer is also given, and of course I will have to satisfy this. Therefore this will become one of my constraints. It is also known that each facility has a capacity, and of course this will become a constraint as well. Because it is a SSP problem, we are also given the information that each customer has to be served by exactly one facility. When a facility delivers one unit to a customer it faces a cost. The purpose with the first question is to minimize the cost that the facility faces delivering the units. I will now show what the problem looks like: Minimizexi=1mj=1nai,j dj xi,j subject to j=1ndj xi,j≤ci , i=1,…,m i=1m xi,j=1 , j=1,…,n x∈0,1, i=1,…,m , j=1,…, n Now I have formulated the problem, and I will now use a Mixed Integer Linear Programming solver...

Words: 5806 - Pages: 24

Mathematical Economics

...imputations that satisfy individual rationality and group rationality for all S. Marginal contribution of player i in a coalition S ∪ i: v(S ∪ i) − v(S) Shapley value of player i is an weighted average of all marginal contributions |S|!(n − |S| − 1)! [v(S ∪ i) − v(S)]. n! πi = S⊂N Example: v(φ) = v(1) = v(2) = v(3) = 0, v(12) = v(13) = v(23) = 0.5, v(123) = 1. C = {(x1 , x2 , x3 ), xi ≥ 0, xi + xj ≥ 0.5, x1 + x2 + x3 = 1}. Both (0.3, 0.3, 0.4) and (0.2, 0.4, 0.4) are in C. The Shapley values are (π1 , π2 , π3 ) = ( 1 , 1 , 1 ). 3 3 3 Remark 1: The core of a game can be empty. However, the Shapley values are uniquely determined. Remark 2: Another related concept is the von-Neumann Morgenstern solution. See CH 6 of Intriligator’s Mathematical Optimization and Economic Theory for the motivations of these concepts. 10.15 The Nash bargaining solution for a nontransferable 2-person cooperative game In a nontransferable cooperative game, after-play redistributions of payoffs are impossible and therefore the concepts of core and Shapley values are not suitable. For the case of 2-person games, the concept of Nash bargaining solutions are useful. Let F ⊂ R2 be the feasible set of payoffs if the two players can reach an agreement and Ti the payoff of player i if the negotiation breaks down. Ti is called the threat point of player i. The Nash bargaining solution (x∗ , x∗ ) is defined to be the solution 1 2 to the following problem: 102 x2 T (x1 ,x2 )∈F max (x1 − T1......

Words: 33068 - Pages: 133

The Past Is Still Happening

... and my family played a large part in that decision because of the nature of the individual relationships that I held with them. I have rarely considered myself a conformist, as suggested that one who is an oldest child can be. I do still feel the need for acceptance from my parents. I do see that my father’s favoritism toward my middle sibling and my mother’s to my youngest sibling. I have always had big ideas, big dreams, and creative ways to reach them. Overall, I can agree with Adler’s theory of birth order when talking about my own experience. I demonstrate feelings of responsibility, protectiveness, and achievement. I also wish to dethrone my younger siblings at times. This was an interesting discovery, as prior to writing this paper I had only heard that birth order was irrelevant to personality development. I can easily attribute some of my personality characteristics to Freud’s theory, but not all. It isn’t until his later developmental theory stages that I personally begin to see a correlation between my own experiences and his theory. It can be said that I didn’t experience significant conflict within the first five years of my life, therefore I did not experience the fixations or negative behaviors that Freud suggests could occur....

Words: 1287 - Pages: 6