In mathematics, Pi is the symbol denoting the rati Essay Example For Students

In mathematics, Pi is the symbol denoting the rati Essay PiIn mathematics, Pi is the symboldenoting the ratio of the circumference of a circle to its diameter. The ratio is approximately 3.14159265, pi being an irrational number (one that cannot be expressed as a simple fraction or as a decimal with a finite number of decimal places) and a transcendental number (one without continuously recurrent digits). Electronic computers in the late 20th century have carried pi to more than 100,000,000 decimal places. Using a computer program, I calculated pi into 1000 decimals:3.14159265 358979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989. Pi occurs in various mathematical calculations. The circumference (c) of a circle can be determined by multiplying the diameter (d) by : c = d. The area (A) of a circle is determined by the square of the radius (r): A = r2. Pi is applied to mathematical problems involving the lengths of arcs or other curves, the areas of ellipses, sectors, and other curved surfaces, and the volumes of solids. It is also used in various formulas of physics and engineering to describe such periodic phenomena as the motion of pendulums, the vibration of strings, and alternating electric currents. In very ancient times, 3 was used as the approximate value of pi, and not until Archimedes (3rd century BC) does there seem to have been a scientific effort to compute it; he reached a figure equivalent to about 3.14. A figure equivalent to 3.1416 dates from before AD 200. By the early 6th century Chinese and Indian mathematicians had independently confirmed or improved the number of decimal places. By the end of the 17th century in Europe, new methods of mathematical analysis provided various ways of calculating pi. Early in the 20th century the Indian mathematical genius Srinivasa Ramanujan developed ways of calculating pi that were so efficient that they have been incorporated into computer algorithms, permitting expressions of pi in millions of digits. On the next couple of pages, I will outline problems and formulas to solve Pi. There are 4 ways to calculate the value of Pi:1.) Arctangent Formulas for Pi This is one of the oldest methods to calculate PI, it uses the power series expansion of arctan (x). This method gets you about 1.4 correct decimals for every term of the series you calculate. 2.) Gauss-Legendre This method doubles the number of correct decimals per iteration. 3.) Ramanujan I This method comes from the theory of complex multiplication of elliptic curves, and was discovered by S. Ramanujan. It is a linear formula, so it will get you 14 correct decimals for every term you calculate. 4.) Ramanujan II This formula is also based on the work of the eccentric Indian mathematician Srinivasa Ramanujan. It is a quadratic iteration based on an elliptic function called the Singular Value Function of the Second Kind. It converges exponentially to 1/PI as its argument increases. Each iteration of this formula gives approximately four times the number of decimal places as the previous one. Words/ Pages : 588 / 24

Flowcharts Computer Programming and Start Statement Block Essay Example For Students

Flowcharts: Computer Programming and Start Statement Block Essay A flowchart visually represents and organizes the steps used to write the program-?it is a diagram to the flow to the process. When programmers write code, they need to give the robot instructions that are hot sequential and specific. Flowcharts enable programmers to work these steps out before needing to translate their behaviors into code. Reading flowcharts Move from step to step in the chart by following the lines between them. Perform any action listed venue you reach a Statement Block (rectangle), and then choose from several different paths to follow when you reach a Decision Block diamond). Parts Of a Flow Chart Start of program -? Marks the beginning of the program, begin here. Follow the line to get to the next block. Start Statement block -? A statement to execute, Take one step forward Gone SO steps? Or a behavior to perform. Decision block -? A decision point in your program. Ask a simple question, and do different things depending on the answer. Yes/No (also True/False, etc. ) -? Answers to the question posed in the decision block. Follow the line labeled with the appropriate answer. End of program -? Marks the end of the End program. If you reach this point, the program is done! Exercises 1. In the flowchart above, what will be the first action you take? Will you do next? Steps, what do you do? 2 If you havent gone 50 steps yet, what 3. If youve gone 50 Describe the eventual result of your actions if you follow the flowchart above from start to finish. NAME DATE 02006 AH-CSS All About Flowcharts continued Writing Pistachios How do you get from a complex task to an organized flowchart describing how to do it? Start With a flowchart containing just the task. NOW break it down into smaller, more specific steps in another flowchart. Then, go back and see puffy can break down any of those behaviors into simpler parts. Keep on repeating this process until youve reached steps that are simple enough for your robot to perform! Start Wash hands Turn on water Dispense soap Rub hands together Wash hands till clean Hands clean? Rinse soap off till clean Rinse soap Off Turn Off water Dry hands Exercise S. On a separate sheet of paper, make a flowchart organizing the flow of getting ready to go to school in the morning Be sure to include the following steps in your chart, but dont be afraid to add other things if you need them! Select something to wear Take a shower Eat breakfast Leave house for school Get out Of bed Look for your shoes Brush your teeth Put toast in the toaster Check your alarm clock Turn on shower Put purr shoes on Hit snooze button Get dressed Comb your hair Check the time 6. What behavior does the flow chart below describe? Pump air Tire at rated pressure? 7 _ Create flowcharts to represent these short tasks: a. If its raining, bring an umbrella. Take twenty paces, then turn and shoot. c. Go forward until the Touch Sensor (on port 1) is pressed in, then stop. D Follow Liberty Avenue for 2 miles, then take a left turn onto 40th Street, Go until you reach the bridge, but dont cross the bridge. Instead, make a right turn onto Poster Street, then take the first left turn. Follow that road until you reach the National Robotics Engineering Consortium building. e. Turn on oven. Cook turkey for 4 hours or until meat thermometer reaches 180 degrees. 8. Make a flow chart for the process Of cro ssing the Street. Hint: Looking both ways wont do any good unless you use that information to make some decisions. 9. Bonus: Write a flow chart that tells you how to read flow charts.

Biology Instinct Essays - Animal Anatomy, Entomology, Insect

Biology Instinct subject = biology title = Biology Instinct Insects are neumerout invertebrate animals that belong in the Phylum Arthropoda and Class Insecta. The class Insecta is divided into 2 subclasses: Apterygota, or wingless insects, and Pterygota, or winged insects. Subclass Pterygota is futher divided on basis of metamorphosis. Insects that have undergone incomplete metamorphosis are the Exopterygota. Insects that undergo complete metamorphosis are the Endopterygota. Insects have an outer bilateral exoskeleton to which the muscles are attached to and provides protection for internal organs. The body is divided into 3 main parts which are the head, which include mouthparts, eyes, and antennae; thorax, which operate the jointed legs and /or wings; and abdomen, which has organs for digested food, reproducing, and getting rid of waste products. The major systems in insects are the circulatory, respiratory, nervous, muscular, digestive, and reproductive systems. In the circulatory system, blood is pumped by the heart in a tube to the aorta, the head, and to other organs then enters the ostia openings along the sides of the tube back to the heart. The respiratory systems carries O2 to cells and takes away CO2 from cells through branching out to call cells of body. The nervous system consists of a brain receiving information from eyes, antennae, and controls the whole body and 2 nerve cords containing ganglia fused together to control activities of the segment without the help of the brain. insect muscular system is made up of a few thousand samll but string muscles allowing the insect to carry objects heavier than it. The digestive system is basically a long tube where food enters the mouth to the crop where it is stored, gizzard where it is grinded, stomach where it is digested, then the undigested parts and wastes are moved to the intestine, colon then released at the anus. And in the reproductive system, a new individual is produced sexually when the female eggs produced in the ovaries united with male sperm produced in the testes. Both man and insect live almost everywhere, eat all kinds of food, and use all kinds of materials to build homes so they constantly live in conflict. Some insects seriously affect man's health and are parasitic on man and other animals. insects that feed on human or animal blood can carry disease in their salivary juices and spread the disease to other animals. Many insects irritate us without disturbing our health. Some bite and sting, and some people are allergic to them and some insects are injurious to our agricultural crops, food products, clothing, and wooden buildings. So far man has only partial success in defending against insects. But some insects species are beneficial to man. The honey bee, for example, supplies us with honey and the silkworm supplies us with silk. So bugs really aren't that bad.

On the other hand, if the cover doesnt hold the water in, it could actually allow the water to flow freely over the cover and into the sewer system, thereby causing a problem, or

On the other hand, if the cover doesn't hold the water in, it could actually allow the water to flow freely over the cover and into the sewer system, thereby causing a problem, orIn choosing a sample of top university essay, you must take into consideration a number of things. We have compiled the most important things that you must consider.The first thing that you must do is to write an interesting and an impressive title for your sample. An important part of writing an impressive title is to give your reader the right information. The best way to do this is to use a 'buyer's mentality'.Once you know your target audience, you need to design a sentence construction that will really grab the attention of your reader. Make sure that your sentence is in a way that it is different from the other sentences. This will make your sample stand out.The next thing that you must do is to structure your essay properly. Once you start to organize your essay, you will have a much easier time with the editing process. Remember, your essay must be organized properly before you go to the editing process.Your essay is now ready for editing. You need to make sure that you structure your essay correctly in order to ensure that you retain the reader's attention throughout the entire essay.After editing your essay, you must be sure that you have made your point in the essay and that you have created an article that would be of interest to the reader. Before you submit your sample, make sure that you proofread it thoroughly to ensure that you have not lost your reader's attention.The sample of top university essay is now ready for submission. Use the top University Essay Template to create a powerful and interesting essay that will give you the edge over other college students!Sample of Top University Essay<|startoftext|> PARACOUNT 6 SENTCOUNT storm drain cover ENDPARAMIf you have a storm drain cover in your home, you are more likely to have a leak, or an overflow, then you ar e to have no drain at all. Some people like to pretend that their drains don't work when in fact they do, they just don't see it.Storm drains are also known as outfall drains. The reason for this is that the rainwater that runs into the system is usually stored on the surface or flows through a pipe before it is discharged into the drain system. It may also discharge at a slower rate into the sewer system. Whatever the case, if there is no storm drain, the water can easily find its way into your home or on your property if you have a yard.However, if you have a storm drain cover installed you have a good chance of keeping your storm drain clear of debris that may clog up your existing plumbing and causing a leak. Storm drains are there to keep the water from getting into your home, but they can also help prevent flooding problems that can be caused by standing water. If you have a storm drain cover then you can relax and let nature take its course, and you won't have to worry about a leak.Drain covers are usually made of metal or PVC, depending on the design that you have installed in your home. This type of cover should be placed in close proximity to the sewer lines, but not so close that the water level in the house rises above the drain level. If the waterproofing material that the cover is made of doesn't hold the water in, the water could still come over the top of the cover.

Interview With A Vampire essays

Interview With A Vampire essays Interview's main character is a vampire named Louis (Brad Pitt) who narrates the story of his human and inhuman lives to a small-time San Francisco reporter (Christian Slater). Louis is a Four out of five in this story for he hinges on his flourish propensity for whining. While still human in the 18th century, he loses his wife in childbirth and sinks into a passive death-wishing funk. While Louis' grief is genuine, he is also seen wallowing in melancholy over the unfairness of existence. He claims that he wants to die but then does nothing about it. Along comes veteran vampire Lestat (Tom Cruise) who offers Louis eternal death-in-life. Brad Pitt also deserves mention, because he skillfully acted an all-in-all glum role. It's never easy being the protagonist in movies in which I believe few actors could of done better. In "Interview with the Vampire" he is mostly a device to reflect the larger, more scintillating personalities of the older vampires around him. Kirsten (Kristen) Dunnst has secured a future as an actress by her portrayal of Claudia. The part called for in the book was that of a five-year-old, but her age was never revealed in the movie. This at least for those who have not read the book diminishes the need for a suspension of disbelief. What we are able to believe is that she was a young child who ages in maturity but not bodily (and she resents this), and this is certainly the intention of the author. This movie also had good special effects, but you won't notice them. You won't find yourself thinking, "Wow, what good computer animation." Compared to special effects such as "Jurassic Park" and "Stargate", the effects seem paltry until you consider that you simply didn't notice them. In "Frankenstein," one feels disgusted, tense and uncomfortable at the squalor, which aids the film. In this movie, anything gruesome detracts from Interview with a Vampires primary goal. Interview with a Vampire which...

PLN revised Assignment Example | Topics and Well Written Essays - 500 words

PLN revised - Assignment Example t Coweta High School I made connection with my former colleague with whom we still share through twitter, emails and messages on career related issues and on the state of the school since I left. To boost my depth in my career and general knowledge I am also subscribed to journals which includes; American Education Research journal, Electronic journal of e-learning and The Journal which help me keep in touch with trending issues in the world of educational technology (Richardson & Mancabelli, 2011). As an upcoming education technologist, these platforms plays a very crucial role in sharpening ability of applying technology at my current place of work, Landmark Christian School. I also engage in social media for further information and through this platform follow authors like; Alan Januszeuski, Michael Molenda and Dr Darci Harland. To keep tabs with my peers I also involve myself in social media revelation through different media platforms, such as twitter, edmodo network, text messa ges, Diigo networking tools and emails. At Landmark Christian School I am taken in as trained professional education technologist and thus falling in the vast area of Education. The educational technology has been effective at building my career through sharing of experiences, knowledge and information from various social backgrounds. With such advances in technology, one is able to learn that education technology alters on the outcome of both teaching and learning, and altering on processes of teaching and learning (Januszewski & Molenda, 2007). Engaging in seminal arguments helps at underlying different experiences and after putting these experiences differently. Experiments with technology combined with different teaching and learning experiences are different from the traditional forms of learning and teaching (Siricharoen, 2013). The personal learning network (PLN) has been effective at necessitating on my studying experiences with the media and technology through understanding on

MGT501 - Management and Organizational Behavior Mod 4 Case Assignment Essay

MGT501 - Management and Organizational Behavior Mod 4 Case Assignment - Essay Example There are no things present in a corporation that are not part of the culture. All things are. Now, that may mean that they negatively affect or positively affect the culture but they are still part of it. The culture consists of attitudes, beliefs, and behaviors of social and ethnic groups as well as patterns of language, dress, eating habits, activities of daily living, and attitudes. It also includes attitudes toward other culture, health beliefs and values, spiritual beliefs or religious orientation and attitudes toward children, women, men, marriage, education, work and recreation (Chitty & Black, 2007). As one can see culture is all that we are personally as well as corporately. Organizational culture is a cross-section of all of the cultures that its employees bring with them. National culture is just that. For example, the United States has a totally different culture than Mexico but a Mexican-American organization has a culture that is part of both cultures brought by the employees and blended. Corporate culture is a" set of common understandings of meanings that are shared by a group or system of knowledge, standards and beliefs."(au.af) All employees are affected by the overall corporate culture. However, employees and managers are different subcultures of the corporate culture. The management staff have a culture of their own in which they have behaviors that are expected of them, values that they believe in and assumptions that they make. The same holds true of employees. The working staff is a combination of the two in which there is a blending of the managements beliefs and the employees beliefs. In the Culture Crash case study there were some truly important differences in the cultures of the management staff and the employees. In this case the cultures were so different that the employees did not know what to expect when the merger first happened. However, eventually they merged into the culture provided and