The Number Pi 3.14159265...

One of the most widely used constants throughout mathematics is the number pi, which is denoted by the Greek letter Ï€. The concept of pi originated in geometry, but this number has applications throughout mathematics and shows up in far-ranging subjects including statistics and probability. Pi has even gained cultural recognition and its own holiday, with the celebration of Pi Day activities around the world. The Value of Pi Pi is defined as the ratio of a circle’s circumference to its diameter. The value of pi is slightly greater than three, which means that every circle in the universe has a circumference with a length that is a little more than three times its diameter. More precisely, pi has a decimal representation that begins 3.14159265... This is only part of the decimal expansion of pi. Pi Facts Pi has many fascinating and unusual features, including:   Pi is an irrational real number. This means that pi cannot be expressed as a fraction a/b where a and b are both integers. Although the numbers 22/7 and 355/113 are helpful in estimating pi, neither of these fractions is the true value of pi.Because pi is an irrational number, its decimal expansion never terminates or repeats. There are some questions concerning this decimal expansion, such as:  Does every possible string of digits show up somewhere in the decimal expansion of pi? If every possible string does appear, then your cell phone number is somewhere in the expansion of pi (but so is everyone else’s).Pi is a transcendental number. This means that pi is not the zero of a polynomial with integer coefficients. This fact is important when exploring more advanced features of pi.Pi is important geometrically, and not just because it relates the circumference and diameter of a circle. This number also shows up in the formula for the area of a circle. The area of a circle of radius r is A pi r2. The number pi is used in other geometric formulas, such as the surface area and volume of a sphere, the volume of a cone, and the volume of a cylinder with a circular base.Pi appears when least expected. For one of many examples of this, consider the infinite sum 1 1/4 1/9 1/16 1/25 ... This sum converges to the value pi2/6. Pi in Statistics and Probability Pi makes surprising appearances throughout mathematics, and some of these appearances are in the subjects of probability and statistics. The formula for the standard normal distribution, also known as the bell curve, features the number pi as a constant of normalization. In other words, dividing by an expression involving pi allows you to say that the area under the curve is equal to one. Pi is part of the formulas for other probability distributions as well. Another surprising occurrence of pi in probability is a centuries-old needle-throwing experiment. In the 18th century,  Georges-Louis Leclerc, Comte de Buffon  posed a question concerning the probability of dropping needles: Start with a floor with planks of wood of a uniform width in which the lines between each of the planks are parallel to one another. Take a needle with a  length shorter than the distance between the planks. If you drop a needle on the floor, what is the probability that it will land on a line between two of the wood planks? As it turns out, the probability that the needle lands on a line between two planks is twice the length of needle  divided by the length between the planks times pi.

Narrative in the Chronicles of a Death Foretold Essay

Narrative in the Chronicles of a death foretold The novel consists of a detailed history of the circumstances of the murder taken by the narrator, a journalist and former friend of the victim, twenty-seven years after the incident in question. The long range effects of this murder on the citizens of the town in which it occurs, and their unspoken involvement in the crime itself, are revealed in the course of the narrator’s history. The novel tells the story of the narrators return to the Colombian town to resolve the details of the murder. First person narration throughout, narrator himself is like a detective, exploring ideas, comments. The story itself is based on a real occurrence, but the novel, while seemingly journalistic,†¦show more content†¦Chronological order is messed up, many flashbacks- piecing together of a puzzle. The way narrator has presented d events is effective and thus engages d reader’s attention. The presentation of events in this way is effective and adds to the efforts of the direct story in engaging the reader’s attention. For a plot such as this, a mere collection of episodes and viewpoints adding to a whole event- the confusion of chronology and lack of extreme straightforwardness creates interest, and a vision of piecing together all aspects bit by bit. Getting close to the killing, the time differences get shorter and shorter to build up suspense Obviously the most concise definition of magical realism is that it is the combination of magical and real elements. The magical elements that marquez has used are, superstitions, exaggerations, dreams that come true, universal humor and the coincidence of bizarre events. These Elements are present within Chronicle of a Death Foretold n it is this magical realism that makes the novel interesting. Culture in most respects should be looked at holistically. Examining specific ideas and concepts within it become seemingly difficult because they form an intricate web, which can be related to other concepts and premises. Actions dialogue and even the descriptions of objects, people, and scenes enable readers to formulate a basic outline of the culture exhibited by the society expressed by Marquez. NotShow MoreRelatedChronicle Of A Death Foretold By Gabriel Garcia Marquez1388 Words   |  6 Pagesâ€Å"Fake News†: Analyzing Gabriel Garcà ­a Mà ¡rquez’s subtle commentary and use of minor characters through syntax, juxtaposition, and periphrasis Chronicle of a Death Foretold revolves around the reporting of the murder of Santiago Nasar by the author; Gabriel Garcà ­a Mà ¡rquez, who operates under the pretense of impartiality and journalistic integrity to create a subdued commentary through his minor characters. Mà ¡rquez provides commentary on sociopolitical controversies frequent in his portrayed ColumbianRead MoreTheme Of Machismo In Chronicle Of A Death Foretold1554 Words   |  7 PagesChronicle of a Death Foretold is a story about a murder that happened in a small town, in which the society allowed to happen without questioning it. In this town there is an emphasis on male pride and men’s sexual behaviors. Everyone expects a certain code of male honor from every man. The way they look and act is all portrayed by this emphasis of machismo. Machismo men are stereotypically thought of as strong, rich, loud, and as womanizers. They are often associated with violence. Drinking, fightingRead More Use of Magical Rea lism in Chronicle of a Death Foretold Essays1423 Words   |  6 PagesUse of Magical Realism in Gabriel-Garcia Marquezs Chronicle of a Death Foretold   Magical realism is clearly present throughout Gabriel-Garcia Marquezs novel Chronicle of a Death Foretold.   Magical realism is the juxtaposition of realism with fantastic, mythic, and magical elements. A secondary trait was the characteristic attitude of narrators toward the subject matter: they frequently appeared to accept events contrary to the usual operating laws of the universe as natural, even unremarkableRead MoreComparing Marzi And The Chronicle Of A Death Foretold890 Words   |  4 Pagesnarratorial voices? Marzi is different from Jack Hold and the Narrator from the Chronicle of a Death Foretold because of the point of view. Marzi’s is telling the story from a first person point of view where she is the main character. 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HoweverRead MoreThe Influence of Violent Cultural Traditions on the Characters of Chronicles of a Death Foretold – Gabriel Garcia Marquez1490 Words   |  6 Pagesand Pablo Vicario, two â€Å"boys who were raised up to be men.† His ability to interweave these values in his narrative show his deep understanding and perhaps even condolence towards these Latin Americans compelled to follow these archaic tendencies, corrupted by centuries of political extortion and civil violence which has made violence a social norm. The setting of Chronicle of a Death Foretold is a small Colombian coastal town in the 1950’s. The fictitious setting of this novella, although basedRead MoreMagical Realism In Chronicle Of A Death Foretold1442 Words   |  6 PagesPaul Moxey English February 28, 2010 Essay Question: Discuss the uses of Magical Realism and its significance in the novel Chronicles of a Death Foretold. 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The reason honor is a main driving force in a personsRead MoreChronicle Of A Death Foretold By Gabriel Garcia Marquez1325 Words   |  6 Pagesin Latin American Society as Shown by Female Characters in Chronicle of a Death Foretold Emily Quinn Candidate Number: Works in Translation 35 B2 Ms. Prestash April 9, 2015 Through a Different Lens: The Exploration and Criticism of the Oppression of Women in Latin American Society as Shown by Female Characters in Chronicle of a Death Foretold The representation and portrayal of women in the novel Chronicle of a Death Foretold by Gabriel Garcia Mà ¡rquez provides an in-depth understanding

What is civilisation Free Essays

Asia but the crucial area for its development was the fertile crescent. China and America soon followed with the development of agriculture. Agriculture is the first sign that shows humans beginning to control nature. We will write a custom essay sample on What is civilisation ? or any similar topic only for you Order Now When enough food was available, people started settling down resulting into more complex developments belonging to civilization. Soon after settling down the domestication of animals began, Only 14 of the animals urine that time were suitable for domestication. Mom requirements for the animals (not all animals had all these attributes) were: Power used in travel and agriculture (e. G. Horse), relatively short maturing time, the ability to produce food such as milk or honey. After these Important developments the wheel, writing, pottery, metaphorically and highly complex houses and monuments were built. This was mostly due to the time people now had (thanks to agriculture and the domestication of animals) to think rather than hunt and gather. Along with highly developed physical objects/items also employ social methods thrived. A sophisticated legal system was formed to solve issues and labor was devised between people (instead of everyone doing the same work). Writing was invented and along with this the study of nature and education became recognized. Philosophical ideas grew and became morals for people. A large piece of our civilization Is due to luck In where our ancestors decided to settle down. We can still see some affects of it today, such as the difference between America (America had very protein rich food) and New Guiana (New Guiana 1 OFF ere ideal the population of a civilization started to grow. Mortality went down but then again disease spread more eagerly. When population grew, a certain hierarchy grew along it. Hierarchy was also present during the Paleolithic age, but now there were more factors and professions that could be classed. People who had some special skill or profession were respected (e. G. Priest or a person who could write). Religion and politics were more separate than before as well. Civilization can never be simply defined, as people have very different views on it. Different subcultures and tribes may have their own concept of it. The standard western definition in my opinion is this: A collection of many factors that enable us to be in control of our surroundings (nature, animals our social lives) and where technology, systems and living conditions are highly advanced. A large population is needed to sustain all these systems. My view and differences between sources In the PDF file about ancient Mesopotamia and Egypt most facts are told without much further explanation or criticism. During our classes Vive noticed, that we must question things to find the best definition for ourselves. Overall there aren’t many differences between the â€Å"facts† told to us from both sources. I enjoy both methods thoroughly and they give a very clear explanation together. One main impact of civilization is that it makes our lives easier via all the inventions. Many people don’t take care of their physical health even though, ! 2 Homo Sapiens were built to hunt and gather. One aspect of civilization, domestication, is useful if not necessary, but it’s MIS-used and we’re killing the planet that we live in (high ICC emissions, cutting down rain forests). We should take example from uncivilized people who mostly respect nature and live mainly on it’s demands. These people could teach us a lot about communication, and how life could be better in general (by being more simple without advanced technology). In my view humans should create more echo-friendly technology and should consume less (e. G. Food and clothes). Civilization shouldn’t go back in time to when it was â€Å"better† ,but instead be offered to all those who want it, and develop more ideas and inventions that compromise between us and nature. How to cite What is civilisation ?, Papers