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?Fractal Geometry is not just a chapter of mathematics, but one that helps everyman to see the same old world differently". - Benoit Mandelbrot The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a p
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Simeon Poisson's most important works were a series of papers on definite integrals and his advances in Fourier series. Originally forced to study medicine, Poisson began to study mathematics in 1798 at the Ecole Polytechnique. His teachers Laplace and Lagrange were to become friends for life. A memoir on finite differences, written when Poisson was 18, attracted the attention of Legendre. Poisson taught at Ecole Polytechnique from 1802 until 1808 when he became an astronomer at Bureau des Longitudes. In 1809 he was appointed to the chair of pure mathematics in the newly opened F
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"The Yellow Wallpaper": In the Mind of a Disturbed Wife "The Yellow Wallpaper" by Charlotte Perkins Gilman is told from a feminist point of view, but I believe the story has a deeper meaning when read through the disturbed wife's eye. The story's distortion from the pure, female perspective, into the disturbed wife's eye changes what the reader sees. The entire story is told from the mind of the disturbed wife, the narrator. Her vivid illustrations of descriptive elements enhance the reader's perception of the particular kind of insanity that afflicts the disturbed w
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Scientists, American public disagree on global warmiri! By Robert S. Boyd McClatchy Newspapers WASHINGTON When it comes to global wanning, scientists and the American public aren't talking on the same wavelength. Most scientists believe that humans and their machines are mainly responsible for the L4 degree Fahrenheit rise in the world's average temperature in the last 100 years. Most Americans think otherwise. Last month, a group of 18 climate scientists, including two Nobel Prize winners, submitted an affidavit to the Supreme Court declaring that they're 99 percent certa
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THE HISTORY OF THE COMPUTER The introduction of the computer was the result of advances in technologies and man's desire to produce equipments that can assist with time saving and modern changes. The abacus was one of the first counting machines that were designed in fourth century B.C. Papyrus helped early man to record data and figures. However some of the machines that were designed in the earlier days, with similar features didnt have all of the required parts and technological mainframe to make the design work efficiently. For example, some had parts made of wood prior to metal ma
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Augustus DeMorgan Augustus was born in Mandura, India on June 27, 1806 to a father that was a colonel in the Indian Army. Well known for his advances in Algebra and logic, Augustus De Morgan started his early education in private schools where he learned Latin, Greek, Hebrew, mathematics and even a dislike of exams. Then in 1823 he entered at Trinity College, Cambridge, and graduated four years later. After his graduation from Trinity College, De Morgan had an important decision to make. Being fearful of insincerity and religious prejudice helped him make the choice to eliminate his pare
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The Oxford English Dictionarys definition of suicide is the act of intentionally killing oneself however, according to Emile Durkheim the term suicide is applied to all cases of death resulting directly or indirectly from a positive or negative act of the victim himself, which he knows will produce this result. Durkheim is considered by many to be the founder of Sociology as a science. His 1897 book Le Suicide remains one of the most influential books in the history of Sociology. He chose suicide because it was traditionally thought to be a highly personal act and psychologically driven
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In chapter three, I learned about the nature of graphs. I learned that a circle has infinite symmetry. Some graphs may show a line of symmetry or point symmetry. In order to test if a line has symmetry at the x-axis, the y-axis, at y = x, or y = -x, I learned that you must pick a point that will solve the equation and test the point for the x-axis, the y-axis, at y = x, and y = -x. For example, in x2 + y = 3, I chose the point (1,2) because 12 + 2 = 3. To test for the x-axis I used, iff f(a,b)=f(a,-b) then (1,-2). If I plug these points, (1,-2) into the original equation, then the equati
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According to Lisa Macintyres writings on Ethics in Research, when doing sociological research there are various aspects to consider. One, in my opinion being the most important is taking into consideration that you must weigh out the possible consequences of your research. To be more specific Macintyre quotes, As far as I am concerned, the only thing is consistently unethical is to not think through the possible consequences of our research (Mcintyre, Readings.54). I found myself nodding with agreement reading this statement because there are always consequences resulting from social res
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Use of calculators in the classroom The calculator is a mechanical, electromechanical, or electronic device that performs arithmetic operations automatically. Use of the calculator is a skill which must be taught, and there are different types of calculators which are appropriate for different age groups. "According to the National Council of Teachers of Mathematics (NCTM), the use of calculators along with traditional paper-and-pencil instruction enhances the learning of basic skills." In fact, the NCTM supports "the integration of the calculator into the school mathematics program at all
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Title: INVESTIGATING NUMBER SYSTEMS (Name) (Institution) (Grade Course) (Tutors Name) 19/03/2008 A number system is the set of symbols used to express quantities as the basis for counting, comparing amounts, determining order, performing calculations, representing value and performing calculations. It is the set of characters and mathematical rules used to represent a number. Examples include the Arabic, Babylonian, Chinese, and Egyptian, Greek, Mayan, and Roman number systems. The ISBN and Dewey Decimal System are examples of number systems used in libraries. Even Social Security has
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Essential Eight Communications, Inc. (E8C) is an Oklahoma based Telecommunications Company that currently uses sub-contractors to service and installs their equipment. Some company officers feel it would be more profitable to have full time employees that are able to travel throughout the states of: Arkansas, Louisiana, Oklahoma, and Texas, than it would be to continue to use contractors. This paper will describe the results of an ANOVA test on the West South Central Census Division and Appalachians and West Rockies. It will also show how the use of ANOVA testing can evaluate the solutions
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Technical Notes Exploratory Analysis The histogram, box plot and dot plot all show the data is slightly right skewed: the median (1088.65) is slightly less than the mean (1102.59) and the skewness statisti is a fairly small positive value (0.58). Checking Assumptions The independence of the observations appears to be satisfied from the data description. The Shapiro-Wilk Normality test shws strong evidence gainst the hypothesis that the underlying distribution is normal (P-value=0.008103). The Normal Q-Q plot shows a slight curve through the points indicating slight right skewness. A
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Back in 1990, Indian Nobel prize winner Amartya Sen along with Pakistani economist Mahbub Ul Haq developed an index to measure the overall impact of a countrys economic policies on the quality of life of its citizens. The index which came to be known as the Human Development Index (HDI) measures the life expectancy, literacy, education, and standard of living for countries worldwide. Furthermore, it is also used to indicate whether the country is a developed, developing or an undeveloped nation. Last month, the United Nations Development Programme compiled and published its 2007/2008 H
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When a neighbour's dog is killed, fifteen year old Christopher sets out to investigate, persisting even when his father tries to stop him. But detection poses extra challenges for Christopher, because he is autistic. Unable to understand emotions normally, he finds many everyday events threatening and ordinary activities challenging. To cope he has surrounded himself with rules and rituals red cars are a good sign, yellow cars a bad one; yellow and brown food can't be eaten; and so forth and has his own coping mechanisms he relaxes by crouching down and groaning, or by listening to whit
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In my trip to the San Jose Museum of Art, I got to see many amazing art works. In all of the art pieces, I was fascinated by Dawnscape of Louise Nevelson. Dawnscape was created in 1978 with the technique of cast paper pulp. Dawnscape consists of a total of twenty six squares and rectangles. Each square or rectangle describes a different thing. The first square on the upper left is water, or maybe some kind of seaweed or coral. Below that square is a combination of two rectangles and a small square. The larger rectangle which situates on the right simply contains a solid rectangle; the sma
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Algebra II and Trigonometry Exponential Modeling Project An exponential model will be assumed to model growth and decay in natural situations. The model will take the form f(x)=a×bx equation (1) where a and b are constants. a can be thought of as the initial value and b is the rate of growth (or decay). The constants a and b will be determined for each situation using the graphical program Autograph . The best fit to the given empirical data will be determined by eye, by graphing the model derived curve over the top of the given data.
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Introduction Pythagoras was born on the island of Samos, Greece in 569 BC, and died about 500 BC in Metapontum, Lucania. He traveled extensively in Egypt, learning math, astronomy and music. Pythagoras was also a healer, a wrestler, and was politically active. Pythagoras was a Greek Mathematician born in 569 B.C. who studied math, music, and astronomy. His Life Pythagoras left Samos in disgust for its ruler Polycrates. He settled in Cretona, a Greek colony in southern Italy. There he founded a movement with religious, political and philosophical goals. To facilitate his movement, he creat
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The most powerful weapon on earth is the human soul on fire. Ferdinand Foch, a French soldier and writer, spoke these words. Passion tears humans away from one another and binds them together, all at the same time. Passion can be for something tangible or intangible. I have always enjoyed mathematics since I was 3. The concepts that I have been presented in my classes have always come easily to me and hold my interest. Thus, last year, I was the top in my level for mathematics. I want to project this passion onto my fellow schoolmates. I would like to encourage the sparkle in the
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The Art and Science of 'Better' Borrowing a metaphor from medicine, it may be advantageous to characterize O.R. as the profession that seeks to maintain, improve or restore the "wellness" of an organized complex of operations within commerce, industry or government. By John L. Nazareth ________________________________________ Operations research is defined by Morse and Kimball [1951] to be "a scientific method for providing executive departments with a quantitative basis for decisions regarding operations under their control," with the added proviso that "quantitative aspects are
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Defining intelligence Intelligence represents the amount of experience a person accumulates in a given time interval. High intelligence means that a large amount of experience is obtained over a short interval of time, while low intelligence means that little experience is obtained over a long period of time. Simply put, intelligence measures the rate at which a person acquires new experience. The relationship that defines intelligence is the following: Int = ΔExp / Δt where ΔExp is the amount of experience gained in the time interval Δt. Here are a few examples
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Applying ANOVA and Nonparametric Test June 9, 2008 There were many lessons learned and tools used to assist Praxidike Systems with implementing competency changes and other quality management issues the company has experienced. As the Quality Assurance Manager, I was able to research and test various variables needed or not needed to better customer satisfaction and productivity, I have listed these variables below. One lesson learned is the Krusal-Wallis test is used when it is difficult to meet all the assumptions of ANOVA. The three major assumptions of ANOVA are the errors are random
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Tanishq-Positioning to capture the Indian womans hear Chronological order of major events for Tanishq 1995 (Inception of Tanishq, gold watches heavy, expensive) 1996 (18K Gems studded jewellery) 1997 (22K Gold jewellery pilot) 1999 (Renewed push for 22K Gold market) 2000 (Established beachhead 22K Gold market, Introduced Karatmeter) 2001 (Introduced thematic expressions range, Increased competition with local jewellers, Introduced Aria range of jewellery) 2002 (Introduced Diva range of jewellery) 2003 (Introduced Hoopla range of jewellery, Lightweight gold, Lightweight diamond
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Problem Solution: USA World Bank To do well in a complex business decision-making environment, [researchers] will need to understand how to identify quality information and [recognize] the solid, reliable research on which [his or her] high-risk decisions can be based. - Lind, Marchal and Wathen According to Lind, Marchal and Wathen (2004), the impact of research and statistics is very apparent in managerial decision-making. Things such as descriptive or nonparametric statistics, probability concepts, hypothesis testing and research are very important tools for managers. Descriptive s
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Sofya Vasilyevna Kovalevskaya Sofya Vasilyevna Kovalevskaya, a distinguished female mathematician, displayed outstanding brilliance through her mathematical abilities, as well as the magnitude of her major contributions she struggled to accomplish. She wrote and published exceptional essays that focused on the significant discoveries she made. Also, she had an impact on the womens rights movement, influencing other women to enter scientific and mathematical fields (Wilson 123). Her published accomplishments and inspirations not only benefitted the mathematical and scientific worlds, but the
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Data Collection and Analysis Paper Introduction/Purpose of the Research At first glance, women may seem to be making tremendous advances becoming better educated, more economically independent, and more involved in national politics. An Equal Pay Act, which came into effect in 1963, guaranteed equal pay for equal work in the United States. However a sex-based gap in earnings still persists with a difference of womens pay at about three fifths that of mens (Newman, 2006). In the May 2006 issue of Forbes Magazine, Warren Farrell wrote: for every dollar that a male makes, each female mak
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CHAPTER 9 1/ A z- score is used when the population standard deviation or variance is known. The t statistic is used when the population variance or standard deviation is unknown. You use the sample data to estimate the variance and the standard error. 2/ a/ Increase the variability of the scores: decrease the value of t b/ Increase the number of scores in the sample: Increase the value of t c/ Increase the difference between the sample mean and the population mean: increase the value of t 3/ the sample variance s² in the t formula is an estimated value and contributes to the var
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It's Time for Education Reform My sentence is still being carried out and, as such, I am still gathering much damning evidence on the topic. Hopefully I will be able to compose a meaningful -- perhaps even persuasive -- critique of the system. There is quite a bit of bureaucracy and conformity to overcome. The education system is profoundly skewed and this is the second time I have experienced its most significant problem: placement and grading. Most educators place too much value on inflexible systems for identifying proper places for students and estimate their comprehension of the m
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OBJECT:- Analysis of forced convection through a pipe using CFD(computational fluid dynamics) through fluent 6.2.16. GOVERNING EQUATION:- The sum of local and convective components gives the total or substantial rate of change of density, for which the notation Dρ/Dt is usually employed .Thus Dρ/Dt =∂ρ/∂t+u ∂ρ/∂t+v ∂ρ/∂y+w ∂ρ/∂z The continuity equation can be written as ∂ρ/∂t+ρ (∂ρ/∂x+∂ρ/∂y+∂ρ/∂z)=0 Accelerat
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Happiness is the only emotion that humans desire for its own sake, Aristotle said. He believes that every action human takes must be due to the desire towards certain final ends. Aristotle believes that happiness is the universal final end pursued by every individual. Happiness is the final end because there are no other goals beyond the goal of happiness; all the other goals are subordinate to or consequential to the pursuit of happiness. In order for a person to be happy and living well, he or she must live an active life of virtue; therefore, this will in turn bring him or her closer to
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Reflective Paper Math 213 The major mathematical concepts covered in Math 213 are numerous. Chapter one includes the exploration of patterns, problem solving strategies, algebraic thinking and an introduction to logic. Chapter two focused on sets, whole numbers and functions. Chapter four focused on integers, divisibility tests, prime and composite numbers and greatest common denominators and least common multiples. Chapter five explored rational numbers as fractions and chapter six touched on decimals and percents. The concepts covered in chapters one thru six are too vast to cover in such a
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use of computer in management science,Operations research and computers meet in a large number of scientific fields, many of which are of vital current concern to our troubled society. These include, among others, ecology, transportation, safety, reliability, urban planning, economics, inventory control, investment strategy and logistics (including reverse logistics). The common element in all these scientific areas which this journal addresses is the methodology for determining viable solutions to problems using computers and the techniques of operations research. However, it is not only th
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Language is one of the Ways of Knowing. Language is created by people whose use it to interact with each other. It can be said as a code of symbols that let a knower to produce a message that can be accepted and understood by others. We use language so much in our life and it is difficult for us trying not to use it and just look at it as one of the natural things that occur. Generally, we see humans are just making sounds between each other but more than that, with the arrangement of words and symbols spoken, the sounds becomes intelligible to humans and able to describe some parts of reality
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Correlation and Regression o Correlation It is computed into what is known as the correlation coefficient (r) which ranges between -1 and +1. Perfect positive correlation (a correlation co-efficient of +1) implies that as one security moves, either up or down, the other security will move in lockstep, in the same direction. Alternatively, perfect negative correlation means that if one security moves in either direction the security that is perfectly negatively correlated will move by an equal amount in the opposite direction. If the correlation is 0, the movements of the s
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Interpersonal attraction (known as biological attraction in animals) is the attraction between people which leads to friendships and romantic relationships. The study of interpersonal attraction is a major area of study in social psychology. In a colloquial sense, interpersonal attraction is related to how much we like, love, dislike, or hate someone. Interpersonal attraction can be thought of as a force acting between two people tending to draw them together, and resisting their separation. According to a personality psychologists' view, interpersonal attraction is a person's qualities
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Gender differences in visuospatial abilities: what factors play an important role? Abstract It has been argued that through tests such as a Line judgment test, one that measures visuospatial ability, males score higher than females. This report measures speed and accuracy in the Line Judgment test, and includes a separate Driving test which also measures visuospatial ability, and investigates what factors play an important role in these two experiments. Undergraduate males (N = 39) outperformed undergraduate females (N = 49). Agreeing with past research, males were found to be better at
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You ask what I mean? You love stories, and will excuse my telling one of myself. When I was a child of seven years old, my friends, on a holiday, filled my pocket with coppers. I went directly to a shop where they sold toys for children; and being charmed with the sound of a whistle, that I met by the way in the hands of another boy, I voluntarily offered and gave all my money for one. I then came home, and went whistling all over the house, much pleased with my whistle, but disturbing all the family. My brothers, and sisters, and cousins, understanding the bargain I had made, told me I had
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Targeting a segment of the market can be a powerful strategy. It's the concentration of marketing effort to dominate a market niche. Market segmentation is the process of identifying and targeting groups of individuals who are similar to one another. Markets can be segmented in many different ways: by product or service needs, by sensitivity to price, by geographic area, by demographic segment, or by psychographics and lifestyles. Successful segmentation depends on understanding what consumers need, how groups of consumers differ from one another, and how consumers decide among products. Dec
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ABSTRACT The capital asset pricing model (CAPM) of William Sharpe (1964) gives the birth of asset pricing theory. Nowadays, The CAPM is still widely used in applications, such as estimating the cost of capital for firms and evaluating the performance of managed portfolio. In the early empirical work, the Black (1972) version of the model, which can accommodate a flatter tradeoff of average return for market beta, has some success. But in the late 1970s, researchers begin to uncover variables like size, various price ratios and momentum that add to the explanation of average returns provided b
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The Future of Household Income: Projected Median for the Year 2050 Abstract The median household income in the United States plays a large and sometimes indirect role in everyday economic situations. Previous trends on United States college graduate rate, unemployment statistics, and the consumer price index show a direct correlation among all three to the nations median household income. With these statistics all showing a relationship to one another, it can be calculated that by the year 2050 the median household income will approach $49,750. The Future of Househol
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According to Stephen Jay Gould, Jane Goodalls work with chimpanzees represents one of the Western worlds greatest scientific achievements. Paleontologist Dr. Louis S. B. Leakey made this happen. Leakey felt as if Goodall would be the right person to conduct a research project on a group of chimpanzees living in the Gombe Stream Chimpanzee reserve. This allowed Goodall to make discovery after discovery that would change forever the way humans view their closest genetic relatives. My essay will examine Goodalls involvement in and contributions to ethology as well as her personal life. Since
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The world around us is full of relationships, rhythms, correlations, and patterns. And mathematics underlies all of these, and can be used to predict future outcomes. Our brains have evolved to survive in this world and to analyze the information it receives through our senses to spot patterns in the complexity around us. In fact, it's thought that the mathematical structure embedded in the rhythm and melody of music is what our brains latch on to, and that this is why we enjoy listening to it. It is perhaps not surprising then that there is a great deal of overlap between mathematics and the
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Measurements and Evaluation Health Related Fitness and Skills Testing From the entire set of data: 1. Determine the value for N: 21 2. Determine the value for R: 10in 3. Determine the mean: 8in 4. Determine the median 6.5in 5. Determine the mode 6.5in From the male population data: 1. Determine the value for N:14 2. Determine the value for R:10in 3. Determine the mean: 7.5in 4. Determine the median 6.5in 5. Determine the mode 6.5 From the female population data: 1. Determine the value for N:7 2. Determine the value for R:5in 3. Determine the mean: 8in 4. Determine the m
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Introduction The SPSS software analyzed the grades.sav data to determine if there was a statistically significant relationship between the gpa and variable total. The data determined whether the dependent variable, gpa (Y) is predictive of the independent variable, total (X). In other words, if the gpa variable increase or decrease will the total variable also increase or decrease. Correlation and Regression Analysis In this data set, a correlation research question would be: If gpa and total scores increase throughout the year, what factors could be attributed to student achievement? On
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Kinematics: Introducing Graphical and Mathematical Model Building with Uniform Motion The purpose of this experiment is to collect and use experimental data from objects raveling with uniform motion to build graphical and mathematical models for the system and to use these models to make predictions that are then experimentally tested. In this experiment we investigated a system in which an object moves at constant speed. We were given the following to help carry out this experiment: a 2-meter stick, 2-meter steel track, wooden launcher, 1 ball bearing, stopwatch (or timer), washers
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CHOICE Z 10 ALGEBRA TOPICS INTEGERS - Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, . We do not consider zero to be a positive or negative number. For each positive integer, there is a negative integer, and these integers are called opposites. EXAMPLE: COMBINING LIKE TERMS - Combining Like Terms is a process used to simplify an expression or an equation using addition and subtraction of the coefficients of terms. EXAMPLE: ORDER OF OPERATIONS - The Order
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Poverty can exist in rich and civilized countries to an extreme extend In many other countries, people believe that poverty doesnt exist in the U.S. They believe that every individual has the resources to survive and provide for the families, but that is not true. It may not too very obvious for other people to see, but there are many people who face poverty and are looking for ways to get out of it in the U.S. Due to lack of resources, people struggle to break out of the cycle of poverty. According to Census Bureau Report (2001), "The official poverty rate in the U.S.
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Most of the time we feel, what does mathematics have to do with the way we live our lives ? What lessons could those dry & abstract theories teach us about life...? And we feel its better to live life as it comes, allowing the so called ROUTINE (like worrying about things like people, salary, parents.etc.) to dominate over us.Hence, we spend our life busy worrying about how to cope with this ever changing stuff called LIFE, who doesnt give us a single chance to catch up with it !! We spend silent moments of our lives, staring at the cover page of some magazine carry pics of people like Dhiru
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Math Topics/Concepts The mathematics standard my project will focus on is from the California State Standards for grade 6. I will be focusing on fractions and decimals. Fractions are Number Sense standards and is labeled 1.0: Students compare and order fractions, decimals, and mixed numbers. They solve problems involving fractions, ratios, proportions, and percentages. Underneath this standard is a sub standard to get the students to master the main standard. It is labeled Number Sense 1.1: Students will compare and order positive and negative fractions, decimals, and mixed numbers and place
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A surface defined by an algebraic equation of degree two is called a quadric. Spheres, circular cylinders, and circular cones are quadrics. By means of a rigid motion, any quadric can be transformed into a quadric having one of the following equations (where a,b,c 0): (1) Real ellipsoid x /a +y /b +z /c =1 (2) Imaginary ellipsoid x /a +y /b +z /c =-1 (3) Hyperboloid of one sheet x /a +y /b -z /c =1 (4) Hyperboloid of two sheets x /a +y /b -z /c =-1 (5) Real quadric cone x /a +y /b -z /c =0 (6) Imaginary quadric cone x /a +y /b +z /c =0 (7) Elliptic paraboloid x /a +y
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