Nsu Financial Aid free essay sample

Financial Aid system of INS is one way good that it asks all information in the application form regarding academic performances and family income so that they can select both categories of students as merit-based and need-based as per detailed family Income. Generally the seats reserved for scholarships are very few. So naturally, there is a high competition. For example, the University of Hull has just one seat for 100% Financial Aid and students literally fight for that.But in ANSI, reprovingly, students just keep getting this benefit. To my knowledge, at least 6 students from our 1 03/111 ABA batch alone are enjoying Financial Aid ranging from 25% to 100%. On the other hand, universities of abroad have some facilities like loan-based financial aid in addition to merit-based scholarship and need-based financial aid to support their students. Talking about our home universities-most of them do give waivers based on academics.For example, in a certain university I would have got 75% scholarship based on my academic results, but for its continuation, I need to maintain a CAP of at least 3. We will write a custom essay sample on Nsu Financial Aid or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page 75. Whereas in NUNS, you need to maintain a CAP of think 3. 3 for Financial Aid based on Admission Exams and 2. 75 for the applied one. On the contrary, ANSI Financial Aid committee actually wants to give Financial Aid to more students with easier conditions. Our authorities actually make it very easy to maintain. For example, to maintain 25% financial aid, shall have to.

Spinner Shark Facts (Carcharhinus brevipinna)

Spinner Shark Facts (Carcharhinus brevipinna) The spinner shark (Carcharhinus brevipinna) is a type of requiem shark. It is a live-bearing, migratory shark found in warm ocean waters. Spinner sharks get their name from their interesting feeding strategy, which involves spinning through a school of fish, snapping them up, and often leaping into the air. Fast Facts: Spinner Shark Scientific Name: Carcharhinus brevipinnaDistinguishing Features: Slender shark with long snout, black-tipped fins, and habit of spinning through water when feeding.Average Size: 2 m (6.6 ft) length; 56 kg (123 lb) weightDiet: CarnivorousLife Span: 15 to 20 yearsHabitat: Coastal waters of the Atlantic, Pacific, and Indian OceansConservation Status: Near ThreatenedKingdom: AnimaliaPhylum: ChordataClass: ChondrichthyesOrder: CarcharhiniformesFamily: CarcharhinidaeFun Fact: Spinner sharks dont eat humans, but will bite if they are excited by other food. Description The spinner shark has a long and pointed snout, slender body, and relatively small first dorsal fin. Adults have black-tipped fins that look as though they were dipped in ink. The upper body is gray or bronze, while the lower body is white. On average, adults are 2 m (6.6 ft) long and weigh 56 kg (123 lb). The largest recorded specimen was 3 m (9.8 ft) long and weighed 90 kg (200 lb). Spinner shark. Spinner sharks and blacktip sharks are commonly confused with each other. The spinner has a slightly more triangular dorsal fin that is further back on the body. An adult spinner shark also has a distinctive black tip on its anal fin. However, juveniles lack this marking and the two species share similar behaviors, so its difficult to tell them apart. Distribution Due to difficulty distinguishing between blacktip and spinner sharks, the spinners distribution is uncertain. It can be found in the Atlantic, Indian, and Pacific Oceans, with the exception of the eastern Pacific. The species prefers warm coastal water that is less than 30 m (98 ft) deep, but some subpopulations migrate into deeper water. Spinner shark distribution. Chris_huh Diet and Predators Bony fishes are the staple of the spinner sharks diet. The sharks also eat octopus, squid, cuttlefish, and stingrays. The sharks teeth are made for grabbing prey rather than cutting it. A group of spinner sharks chases a school of fish then charges it from below. A spinning shark snaps up fish whole, often carrying enough momentum to leap into the air. Blacktip sharks also employ this hunting technique, although it is less common. Humans are the spinner sharks primary predator, but spinner sharks are also eaten by larger sharks. Reproduction and Life Cycle Spinner sharks and other requiem sharks are viviparous. Mating occurs from spring to summer. The female has two uteri, which are divided into compartments for each embryo. Initially, each embryo lives off its yolk sac. The yolk sac forms a placental connection with the female, which then provides nutrients until the pups are born. Gestation lasts from 11 to 15 months. Mature females give birth to 3 to 20 pups every other year. Spinner sharks start reproducing between the ages of 12 and 14 and can live until they are 15 to 20 years old. Spinner Sharks and Humans Spinner sharks dont eat large mammals, so bites from this species are uncommon and not fatal. The fish will bite if provoked or excited during a feeding frenzy. As of 2008, a total of 16 unprovoked bites and one provoked attack were attributed to spinner sharks. The shark is valued in sport fishing for the challenge it presents as it leaps from the water. Commercial fishermen sell the fresh or salted meat for food, the fins for shark fin soup, the skin for leather, and the liver for its vitamin-rich oil. Conservation Status The IUCN classifies the spinner shark as near threatened worldwide and vulnerable along the southeastern United States. The number of sharks and the population trend is unknown, mainly because spinner sharks are so often confused with other requiem sharks. Because spinner sharks live along highly populated coasts, they are subject to pollution, habitat encroachment, and habit degradation. However, overfishing poses the most significant threat. The US National Marine Fisheries Service 1999 Fishery Management Plan for Atlantic Tunas, Swordfish, and Sharks sets bag limits for recreational fishing and quotas for commercial fishing. While sharks of the species grow quickly, the age at which they breed approximates their maximum lifespan. Sources Burgess, G.H. 2009. Carcharhinus brevipinna. The IUCN Red List of Threatened Species 2009: e.T39368A10182758. doi:10.2305/IUCN.UK.2009-2.RLTS.T39368A10182758.enCapape, C.; Hemida, F.; Seck, A.A.; Diatta, Y.; Guelorget, O. Zaouali, J. (2003). Distribution and reproductive biology of the spinner shark, Carcharhinus brevipinna (Muller and Henle, 1841) (Chondrichthyes: Carcharhinidae). Israel Journal of Zoology. 49 (4): 269–286. doi:10.1560/DHHM-A68M-VKQH-CY9FCompagno, L.J.V. (1984). Sharks of the World: An Annotated and Illustrated Catalogue of Shark Species Known to Date. Rome: Food and Agricultural Organization. pp. 466–468. ISBN 92-5-101384-5.Dosay-Akbulut, M. (2008). The phylogenetic relationship within the genus Carcharhinus. Comptes Rendus Biologies. 331 (7): 500–509. doi:10.1016/j.crvi.2008.04.001Fowler, S.L.; Cavanagh, R.D.; Camhi, M.; Burgess, G.H.; Cailliet, G.M.; Fordham, S.V.; Simpfendorfer, C.A. Musick, J.A. (2005). Sharks, Rays and Chimaeras: The Sta tus of the Chondrichthyan Fishes. International Union for Conservation of Nature and Natural Resources. pp. 106–109, 287–288. ISBN 2-8317-0700-5.

Obama may revive Guantanamo trials Article Example | Topics and Well Written Essays - 750 words

Obama may revive Guantanamo trials - Article Example it easier to delay terrorist’s trials because it will make the judicial and the military system of America to plan afresh and execute new terms that Obama believes will be fairer and easier to execute. The revival of the Guantanamo trials was a long way in the mind of the new president of America because prior to this revivals, he suspended the system of tribunal of America for sometime and during this time, a committee was formed to review the charges that were put against the over two hundred individuals who had been prisoned in Cuba as a result of suspecting them of terror attacks and organization of illegal gangs (Breaking News-Dade, 2009). Although this system will affect the trials of five men who were put in because they are suspected t have been the participants of the September 2001 bombing, the president has his stand that nothing but the truth will really make them guilty or not guilty. There have been a lot of criticisms against Obama suspending the trials at Guantanamo; the Republicans have strongly opposed it saying it’s a channel through which the terrorists will get a loophole to do their activities in the United States (The Vancouver Sun, 2009). They have rejected the ways that government has been put in place like the funding quest to shut down the prisons where these detainees are held. They held that such an action can only occur when there are newly revised rules and laws in the country that extend the rights that prisons under custody till their case are heard have. as a result there are still so many prisons in the country that still hold several prisoners in trial but there is really a strong move by Obama to really execute what he refers to as justice. The implications of the revivals of the Guantanamo trials are very desirable as has been put by several posts that support the leadership of this new president. There is the general belief that the suspects were detained just because of hearsay reports and this new move may make the

The Internal Control Environment Research Proposal

The Internal Control Environment - Research Proposal Example Risk assessment is the component which enables the management to assess and analyze the risk associated with the accomplishment of objectives (Biegelman para.12). As in TPC, the elements of risk assessment includes an analysis of all three divisions and realizing the sources which could probably lead to control failure. For this purpose, TPC must set an internal control objective and then figure out the causes which would lead to deviations from the objective. Risk assessment is the component which enables the management to assess and analyze the risk associated with the accomplishment of objectives (Biegelman para.12). As in TPC, the elements of risk assessment includes an analysis of all three divisions and realizing the sources which could probably lead to control failure. For this purpose, TPC must set an internal control objective and then figure out the causes which would lead to deviations from the objective. The third component includes control activities or policies to create and implement strategies throughout the organization that ensures that objectives of internal control and minimization of risk would be achieved (Biegelman para.12). The major elements of this component are verification, performance reviews and separation of responsibilities etc. At TPC, this component involves implementing strategies and policies at headquarter as well as the three separate divisions. These policies might include a thorough system of performance measurement as well as control procedures (Committee of Sponsoring Organizations). The fourth component of internal control refers to management information and communication which entails communicating with employees on the internal control objectives as well as procedures and to instigate their efforts in meeting the goals (Biegelman para.12). TPC needs to enhance communication and information system among all the three divisions so as to ensure that the objective is communicated all over the organization.   The fifth and last component of internal control refers to monitoring which involves overseeing the whole internal control process and procedure to know if the process is carried out as planned and proceeding towards the desired objectives. The TPC’s management, as well as independent auditors, could keep a check over the proceeding of the control procedure in the organization and achievement of internal control objectives (Biegelman para.12).  Ã‚  Ã‚  

Academic Redshirting by Judy Mollard Article Example | Topics and Well Written Essays - 500 words

Academic Redshirting by Judy Mollard - Article Example In addition, another key strength of the article is that it has probably identified the key issues that are emerging or have emerged from each trend. In my opinion, one key weakness of the article is its failure to include the most recent studies on the subjects discussed. In redshirting, for example, some of the articles that can be included are those written in 2007, 2008, and 2009. It is possible that there were also studies conducted in 2010 and 2011. Unfortunately, Molland’s article covered only an article done on academic redshirting in 2002. A second key weakness of the article is its use of anecdotal evidence instead of scholarly studies for assertions. Finally, another key weakness of the article is that it did not summarize the overall implications of the key trends on education in the United States. Yet, at the same time, it is possible that it was never really the article’s intention to identify the overall implications of the key trends in US education. The possible applications of the article are numerous. First, on the phenomenon of redshirting, it presents one important challenge that teachers are facing: teaching classes where the age gap among pupils in a class can be as high as 16 months and where some of the children can be bored with the instructions. The trend for student-led conferences to explain their own learning is also another area for possible application. Student-led conferences were presented by the article as a possible method for identifying one’s strengths and weaknesses in the delivery of instructions. Of course, studies may be needed to find out how useful or reliable the student-led conferences are but nevertheless student-led conferences can remain an option for teachers until proven ineffective or unreliable. The trend of bringing middle schools into K-8 schools presents an option for educators to follow. The article pointed out that K-8 schools tend to have more parent involvement and fewer discipline problems

The Irrationality Of The Mathematical Constant E Mathematics Essay

The Irrationality Of The Mathematical Constant E Mathematics Essay This dissertation gives an account of the irrationality of the mathematical constant. Starting with a look into the history of irrational numbers of which is a part of, dating back to the Ancient Greeks and through to the theory behind exactly why is irrational. 1. Introduction: In this paper, I aim to look at some of the history and theory behind irrational numbers ( in particular). It will take you through from learning the origins of irrational numbers, to proving the irrationality of itself. The mathematical constant is a very important and remarkable number; it is sometimes referred to as Eulers number. It has many vital applications in calculus, exponential growth/decay and also compound interest. One of the most fascinating things however is taking the derivative of the exponential function; defined. The derivative of is simply, i.e. it is its own rate of change. An irrational number can be defined as any number that cannot be written as a fraction; that means to say any number that cannot be written in the form. 1.1 History of Irrational Numbers: The first proof of the existence of irrational numbers came a few centuries BC, during the time when a prevalent group of mathematicians/philosophers/cultists called Pythagoreans (after their leader and teacher Pythagoras) believed in the purity of expressions granted by numbers. They believed that anything geometric in the Universe could be expressed as whole numbers and their ratios. It is believed a Pythagorean by the name Hippasus of Metapontum discovered irrational numbers while investigating square roots of prime numbers; he found that he could not represent the square root of 2 as a fraction. Bringing his findings to his mentors (Pythagoras) attention brought the death sentence upon himself. As story has it, Pythagoras (who believed in the absoluteness of numbers) had him drowned to death. According to Plato (a prominent Greek philosopher and mathematician; 428/427 BC 348/347 BC), the irrationality of the surds of whole numbers up to 17 was proved by Theodorus of Cyrene. It is understood that Theodorus stopped at the square root of 17 due to the algebra being used failing. It wasnt until Eudoxus (a student of Plato) that a strong mathematical foundation of irrational numbers was produced. His theory on proportion, taking into account irrational and rational ratio featured in Euclids Elements Book V. The sixteenth to nineteenth century saw negative, integral and decimal fractions with the modern notation being used by most mathematicians. The nineteenth century was particularly important in the history of irrational numbers as they had largely been ignored since the time of Euclid. The resurgence in the scientific study of irrationals was brought upon by the need to complete the theory of complex numbers. An important advancement in the logical foundation of calculus was the construction of the real numbers using set theory. The construction of the real numbers represented the joint efforts of many mathematicians; amongst them were Dedekind, Cantor and Weierstrass. Irrational numbers were finally defined in 1872 by H.C.R. Mà ©ray, his definition being basically the same as Cantor suggested in the same year (which made use of convergent sequences of real numbers). Leonhard Euler paid particular attention to continued fractions and in 1737 was able to use them to be the first to prove the irrationality of and. It took another 23 years for the irrationality of to be proved, of which was accredited to Eulers colleague Lambert. The nineteenth century brought about a change in the way mathematicians viewed irrational numbers. In 1844 Joseph Liouville established the existence of transcendental numbers, though it was 7 years later when he gave the first decimal example such as his Liouville constant.Charles Hermite in 1973 was the first person to prove that was a transcendental number. Using Hemites conclusions Ferdinand von Lindemann was able to show the same for in 1882. 1.2 History of the Mathematical Constant: The number first arrived into mathematics in 1618, where a table in an appendix to work published by John Napier and his work on logarithms were found to contain natural logarithms of various numbers. The table did not contain the constant itself only a list of natural logarithms calculated from the constant. Though the table had no name of an author, it is highly assumed to have been the work of an English mathematician, William Oughtred. Surprisingly the discovery of the constant itself came not from studying logarithms but from the study of compound interest. In 1683 Jacob Bernoulli examined continuous compound interest by trying to find the limit of as tends to infinity. Bernoulli managed to show that the limit of the equation had to lie between 2 and 3, and hence could be considered to be the first approximation of. 1690 saw the constant first being used in a correspondence from Gottfried Leibniz to Christiaan Huygens; it was represented at the time by the letter. The notation of using the letter however came about due to Euler and made its first appearance in a letter he wrote to Goldbach in 17318. Euler published all the ideas surrounding in his work Introductio in Analysin infinitorum (1748). Within this work he approximated the value of to 18 decimal places; The latest accurate account of is to 1,000,000,000,000 decimal places and was calculated by Shigeru Kondo Alexander J. Yee in July 2010. 1.3 A few representations of e: can be defined by the limit: (1) By the infinite series: (2) Special case of the Euler formula: (3) Where when, (4) 2. The Proofs: 2.1 Proving the infinite series of e: In proof 2.2.2 we will use the fact that: (5) As this paper dedicated to, it would be useful to know where this equation comes from. The answer lies in the Maclaurin series (Taylor series expansion of a function centred at 0). (6) Let our, and we have that all derivatives of is equal to We now have that. (7) We now let and we have equation (5). 2.2 The irrationality of e and its powers. Continued fractions are closely related to irrational numbers and in 1937 Leonhard Euler used this link and was able to prove the irrationality of and. The most general form of a continued fraction takes the form: (6) Due to the complexity that can arise in using the format in equation (6), mathematicians have adopted a more convenient notation of writing simple continued fractions. We have that can be expressed in the following manner: (7) With the use of continued fractions it is relatively easy to show that the expansion of any rational number is finite. So it is obvious to note that all you would have to do to prove that a given number is irrational, would be to show its regular expansion not be finite. Using this tool we will now show the Eulers expansion for: We have: (8) Equation (8) shows, we now invert the fractional part: (9) Here we have, once again we invert the fractional part: (10) Hence, we continue in the same way to produce: (11) So. (12) So. (13) So. (14) So. (15) So. (16) So. Using the figures above provides the following result: (17) Observing equation (17) allows us to notice pattern and we can show this by re-writing in the following way: (18) Clearly it seems that the sequence will clearly increase and never terminate. Similarly Euler shows this in other examples using. (19) Equation (19) shows an arithmetic increase by 4 each time from the number 6 and onwards. Noticeably equation (18) and (19) do not provide proof that is irrational and are merely just observations. However Euler uses his previous work on infinitesimal calculus, which then proves this sequence is infinite. The proof that Euler uses is very long and complicated as it involves transforming continued fractions into a ratio of power series, which in turns becomes a differential equation of that he can transform into the Ricatti equation he needs. Since Eulers time mathematicians have found far more manageable and direct ways in proving the irrationality of. 2.2.1 Proving the irrationality of e: While Euler was the first to establish a proof of the irrationality of using infinite continued fractions, we will use Fouriers (1815) idea of using infinite series to prove more directly. Proof: Defining the terms: Using the Maclaurin series expansion we have: (20) Now lets define to be a partial sum of: (21) For we first write the inequality: (22) Equation (22) has to be positive as we stated to be the partial sum of, which is the infinite sum. Now well find the upper limit of equation (22): (23) Taking out a factor of: (24) Now as we are looking for an upper limit, we need an equation greater than equation (24): (25) We take note that the terms in the square bracket in equation (25) for the upper limit is a geometric series with. Right hand Side (RHS) of equation (25): (26) (27) (28) (29) We have: (30) Multiply through by: (31) Now lets assume i.e. is rational. Using the substitution implies: (32) Now by expanding the RHS gives us the following result: (33) (34) We note the following: is an integer. , this implies that divides into and hence is an integer. Each term within the square bracket is an integer; we know that can be divided by and upwards to and produce integer values. Therefore as all terms are integers, we have: (35) where is an integer value. Observe that by choosing any we have and furthermore. Using equation (31) we now obtain the following result: (36) (37) Equation (37) implies is not an integer. This is a contradiction to the result obtained in 1) and so therefore is proven to be irrational. 2.2.2 Proving the irrationality of ea: Proof 2.1 successfully shows how is irrational however, the proof is not strong enough to show the irrationality of. Using an example, we have the as a known irrational number, whose square is not. In order to show all integer powers (except zero) of are irrationals, we need a bit more calculus and an idea tracking back to Charles Hermite; where the key is located in the following lemma. Proof: Lemma: For some fixed, let: (38) The function is a polynomial of the form, where the coefficientsare integers. For we have The derivatives and are integers for all Proof: (see appendix) Theorem 2: is irrational for any integer. Proof: Take to be rational, where is a non-zero rational number. Let with non-zero integers and. being rational implies that is rational. This is a contradiction to theorem 2 and hence is irrational. Assume where are integers, and let be large enough that. State , (39) where is the function of the lemma. Note that can also be written in the form of an infinite sum as we see that any higher derivatives where for vanishes. We now want to obtain a first order linear equation using equation (39). We start by differentiating: (40) Now from observation we see that by multiplying equation (39) by and then eliminating the first term we end up with equation (40). (41) Equation (41) takes the form our required first order linear equation, which is solved in the following manner: First re-write in the standard form: (42) Next we find the integrating factor  µ to multiply to both sides of the equation: (43) From equation (43) we now have the following equation: (44) (45) Note the limit runs as stated in of the lemma. We now manipulate equation (45) by multiplying by so that we can apply of the lemma. (46) (47) We have that , so thereforeand hence: (48) As is just a polynomial containing integer values multiplying derivatives of, we can state using of the lemma that is an integer. Part of the lemma states . With this we can now estimate the range that lies within. Firstly we know that is a positive value and hence. For the upper limit we have: (49) Note that to find the upper limit we eliminate the integral and substitute the upper bounds for and. From before we have and also that we took n large enough so that, which can be re-written , which implies the following: (50) (51) Equation (51) states that cannot be an integer and hence contradicts Equation (48). Therefore we have that is proven to be irrational. 3. Further Work: Following on and further proving the irrationality of, would be to prove that is a transcendental number. Irrational numbers can be split into two categories algebraic and transcendental; hence transcendental numbers are numbers that are not algebraic. Algebraic numbers are defined as any number that can be written as the root of an equation of the form. A minimal polynomial is achieved when is the smallest degree possible for a given. The square root of 2 is an example of an irrational number, but also it is an algebraic number of degree 2, of which the minimal polynomial is simply. Euler in the late 18th century was the first person to define transcendental numbers, but the proof of their existence only came around in the papers of Liouvilles in 1844 and 1851. The number was the first important mathematical constant to be proven transcendental and was done so by Charles Hermite in 1873. The techniques Hermite used influenced many future mathematical works including the first proof of being transcendental by Ferdinand von Lindemann; also used in the creation of the Lindemann-Weierstrass theorem. Further work on transcendental numbers involving can be still seen today. Mathematicians knowis a transcendental number, but as of yet have not been able to prove this. 4. Conclusion: Overall, the main objective of this paper was to give an account of the irrationality of. This has been achieved and with it we have been able to see the progress from the first discovery of irrational numbers by the Pythagoreans of Ancient Greek, through to the work covered on Eulers number. References: Webpage Resources: Cook, Z. (2000), Irrational Numbers, The Guide to Life, The Universe and Everything, BBC [Online]. Available: http://www.bbc.co.uk/dna/h2g2/A455852, [Accessed: 6th January 2011]. OConnor, J.J and Robertson, E.F. (1999), Theodorus of Cyrene [Online]. Available: http://www-history.mcs.st-and.ac.uk/Biographies/Theodorus.html, [Accessed: 6th January 2011]. OConnor, J.J and Robertson, E.F. (1999), Eudoxus of Cnidus [Online]. Available: http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Eudoxus.html, [Accessed: 6th January 2011]. OConnor, J.J and Robertson, E.F. (2001), The number e, Number Theory [Online]. Available: http://www-history.mcs.st-and.ac.uk/HistTopics/e.html, [Accessed: 6th January 2011]. Russel, D. (2002), Hippasus Expelled!, Irrational Pythagoreans [Online]. Available: http://math.about.com/library/blpyth.htm, [Accessed: 6th January 2011]. Sondow, J and Weisstein, E.W. e. MathWorldA Wolfram Web Resource [Online]. Available: http://mathworld.wolfram.com/e.html, [Accessed: 6th January 2011]. Weisstein, E.W. Irrational Number, MathWorldA Wolfram Web Resource [Online]. Available: http://mathworld.wolfram.com/IrrationalNumber.html, [Accessed: 6th January]. Yee, A.J. (2010), e, Mathematical Constants Billions of Digits [Online]. Available: http://www.numberworld.org/digits/E/, [Accessed 6th January 2011]. Zongju, L. Shuxue Lishi Diangu (Historical Stories in Mathematics), Chiu Chang Publishing Company [Online]. Available: http://db.math.ust.hk/articles/calculus/e_calculus.htm, [Accessed 6th January 2011]. Arithmetic Sequences and Series, Arizona State University [Online]. Available: http://fym.la.asu.edu/~tturner/MAT_117_online/SequenceAndSeries/Geometric_Sequences.htm, [Accessed: 6th January 2011]. Online PDF Resources: Collins, DC. Continued Fractions, [Online]. Available: http://www-math.mit.edu/phase2/UJM/vol1/COLLIN~1.PDF, [Accessed 6th January 2011]. Conrad, K. (2005), Irrationality of, [Online]. Available: http://www.math.uconn.edu/~kconrad/math121/121piande.pdf, [Accessed: 6th January 2011]. Field, B. (2010), Irrational and Transcendental Numbers, page 23 [Online]. Available: http://maths.dur.ac.uk/Ug/projects/library/CM3/0910/CM3_BenField.pdf, [Accessed: 6th January 2011]. Sandifer, E. (2006), Who proved e is irrational?, How Euler Did it [Online]. Available: http://www.maa.org/editorial/euler/How%20Euler%20Did%20It%2028%20e%20is%20irrational.pdf [Accessed: 6th January 2011]. Online Video Resources: Adams, C, Garrity, T and Burger, E. (2006), Pi verses e, The Mathematical Association of America [Online]. Available: http://www.youtube.com/watch?v=whpAX30vjoE, [Accessed: 6th January 2011] Delaware, R. A Proof e is irrational, Proof, University of Missouri [Online]. Available: http://www.youtube.com/watch?v=FtIL7nGgDNM, [Accessed: 6th January 2011]. Book Resources: Aigner, M and Ziegler, G.M. Proofs from THE BOOK, Third Edition, [Berlin: Springer, 2004]. Dorrie, H and Translated by Antin, D. 100 Great Problems of Elementary Mathematics, THERE HISTORY AND SOLUTION, [New York: Dover Publications, Inc., 1965]. Sandifer, C.E. The early mathematics of Leonhard Euler, [USA: The Mathematical Association of America (Incorporated), 2007].

Critical Analysis of Where Are You Going, Where Have You Been? Essay

What The World Has Done... In "Where Are You Going, Where Have You Been?" the author, Joyce Carol Oates, essentially asserts that the nuances of one's personality are not generated from within, but rather shaped by external circumstances. This is an argument whose justification is abundantly clear in the inner conflict of Connie, the protagonist of the book. The source of that struggle is her unstable relationship with her family, which ultimately results in her identity conflict. As one who always been deprived of father-figure, she feels the need to acquire attention from boys in order to fill that void. The realism and characterization with which Oates makes this point in the story have garnered much praise. Connie is presented as the quintessential teenage girl. Like any other female adolescent, she is preoccupied with make up, boys and music. Great characterization is seen in Arnold Friend - described by Oates as one who appears at first glace as "a boy with shaggy, black hair, in a convertible jalopy painted gold"(427) - who employs manipulative conversational tactics to gain psychological control of Connie. Later, he even changes his apparel in order to draw Connie to himself, an act which makes him reminiscent of an enticing devil. Connie is a girl whose perception of the world has been shaped by her family and "culture," causing her life to be literally split into two. At home, she acts as if she were an Zabakolas 2 innocent child that is unconcerned with the dynamics of the opposite sex. But once she ventures into the "real world" she screams for male attention. In her domestic life, she has virtually nobody and nothing upon which to depend (a fact that she e... ..., shows what happens to the psyche of the individual who is shown no love in the larger environment or in the "safety" of her own home. Connie was influenced by many damaging sources that prohibit her from achieving a proper self-identity. As a result of being neglected by her father, denigrated by her mother, compared to her sister and her desire to be loved by her family and others, she developed an identity problem that ultimately led her to the devil. It is not until the very end, through her acquaintance with Arnold Friend, that she is able to achieve some sort of happiness. Even then, her happiness is a tragedy as the devil wheels her in. Works Cited Oates, Joyce Carol. "Where Are You Going, Where Have You Been?" Literature and the Writing Process. Eds. E. MacMahan et al. 7th Edition. Upper Saddle River(NJ):Pearson Prentice Hall, 2005.

Fin 580

1. (TCO D) The most valuable single technique in personal risk management to assist an individual in determining how much life insurance is needed is: (Points : 4) Computing the Human Life Value. Using the probability of death each year, prevailing interest rates and assumed inflation rates to find the discounted present value of a future income stream. x Assessing the family's total economic needs and subtracting financial resources available to meet those needs.Estimating the sum of money which, when paid in installments, will produce the same income as the person would have earned, after deducting assumed amounts for taxes and personal maintenance expenses. Using a multiple of earnings adjusted for occupation. 2. (TCO D) Mike had a $100,000 whole life insurance policy with a $10,000 loan outstanding when he died. The policy had a $20,000 cash value prior to the loan. How much will his beneficiary receive following Mike's death? (Points : 4) $120,000 110,000 $100,000 xx $90,000 $30 ,000 3. (TCO D) If your employment is terminated, COBRA provides for: (Points : 4) Cancellation of all group insurance benefits. Continuation of group insurance benefits until you are reemployed. Permanent continuation of group health insurance. x Temporary continuation of group insurance benefits; you pay premiums. Temporary continuation of group insurance benefits; employer pays premiums. 4. (TCO D) Which of the following best describes a â€Å"pre-existing condition†? Points : 4) An exclusion. Cancer, heart condition or other serious diseases. An injury that results from an accident. Something not covered by the insurance policy. x A medical condition for which one has previously been treated. 5. (TCO D) The right of ______ gives the insurance company the right to recover its costs from the at-fault party after the company has paid a claim to its insured. (Points : 4) x Subrogation Indemnity Insurance interest Coinsurance None of these

DBQ - Concept of Democracy essays

DBQ - Concept of Democracy essays The concept of democracy has evolved a lot throughout history. One period when there were many new ideas about a democracy is the Enlightenment period. Some important people who expressed these ideas are Thucydides, Aristotle, John Locke, and Jean-Jacques Rousseau. In The Peloponnesian War, Thucydides states that, Our constitution is called a democracy because the power is in the hands not of a minority but of the whole people. He means that instead of having one absolute ruler, the government system is run by the people, having everyone equal before the law. He also describes, that it is no of someones family status or class that they are put in a position, but of that persons ability to hold the job. Another person contributing to the ever changing concept of democracy is Aristotle. In The Politics, he describes the election of officers by the people, which is something we still participate in to this day. He also states that a man should not hold an office twice and for a certain period of time, or at least not often. Also, he describes judges should be selected by the people, also holding that position for a brief period of time. Another man who had plenty of ideas of democracy was the Enlightenment thinker, John Locke. He believes all men were born with and should hold their natural rights, them being life, liberty, and pursuit of property, this is explained in The Second Treatise of Civil Government. These natural rights were slightly changed and put into our Declaration of Independence later. He believed that all men were equal and therefore should be treated equally. This, in many ways, states how a system of democracy is run and kept running. One more man contributing to the evolution of a democratic government is another Enlightenment thinker by the name of Jean-Jacques Rousseau. In Discourse on the Origin and Foundations of Inequality, he e...

Free Essays on Microsoft

Team Project Microsoft was founded in 1975 in Seattle, Washington by two young men, Paul Allen and William Henry Gates, III who had a dream of â€Å"a computer on every desk and in every home.† This revolutionary idea was put into reality by creating a new industry and transforming how we work, live, learn, and play. Microsoft Corporation is the biggest Software Company in America and the 5th largest company in the United States, with a market value of more than 107 billion dollars. Their software products cover almost everything that the computer has ever been conceived to do, from movie making to personal finance, operating systems to application development environment. William Henry Gates, III, aside from being the richest person in America, is also becoming one of the most influential in the computer industry, business community, and ordinary people's life. Today, Microsoft is empowering people everywhere to realize their potential through great software anytime, anyplace and on any device. Microsoft’s vision as seen by Bill Gates was â€Å"We started with a vision of a computer on every desk and in every home... Every day, we're finding new ways for technology to enhance and enrich people's lives. We're really just getting started." The whole company started with just a small napkin of thoughts by former CEO Bill Gates, and developed into a global giant in the technology industry. Microsoft excels in many areas but the areas we found most successful were cutting edge technology and truly terrific benefits. Cutting edge technology have Microsoft developers and partners, help spark a technological revolutions that have transformed how we do business, how we live, and how we learn. This revolution was the belief that software, if made affordable and accessible to more people, would remove barriers and transform technology into an extraordinary tool for millions of people around the world. Microsoft has evolved into ... Free Essays on Microsoft Free Essays on Microsoft Team Project Microsoft was founded in 1975 in Seattle, Washington by two young men, Paul Allen and William Henry Gates, III who had a dream of â€Å"a computer on every desk and in every home.† This revolutionary idea was put into reality by creating a new industry and transforming how we work, live, learn, and play. Microsoft Corporation is the biggest Software Company in America and the 5th largest company in the United States, with a market value of more than 107 billion dollars. Their software products cover almost everything that the computer has ever been conceived to do, from movie making to personal finance, operating systems to application development environment. William Henry Gates, III, aside from being the richest person in America, is also becoming one of the most influential in the computer industry, business community, and ordinary people's life. Today, Microsoft is empowering people everywhere to realize their potential through great software anytime, anyplace and on any device. Microsoft’s vision as seen by Bill Gates was â€Å"We started with a vision of a computer on every desk and in every home... Every day, we're finding new ways for technology to enhance and enrich people's lives. We're really just getting started." The whole company started with just a small napkin of thoughts by former CEO Bill Gates, and developed into a global giant in the technology industry. Microsoft excels in many areas but the areas we found most successful were cutting edge technology and truly terrific benefits. Cutting edge technology have Microsoft developers and partners, help spark a technological revolutions that have transformed how we do business, how we live, and how we learn. This revolution was the belief that software, if made affordable and accessible to more people, would remove barriers and transform technology into an extraordinary tool for millions of people around the world. Microsoft has evolved into ...

Reading projects Assignment Example | Topics and Well Written Essays - 1000 words

Reading projects - Assignment Example She served as an advisor to the White House on health issues (Blumenthal 1). Her service as the chief of behavioral medicine renders her qualified to write on subjects of nutrition. She also served in the branch of nutritional institute of health in America. Her role as the chief of the institutes renders her a distinguished professional to write on the topic. She served as a clinical professor at Georgetown medicine school. Additionally, she served as a policy and medical consultant at the amfAR. She is equally qualified having served as director of a health commission that guides the president and congress on critical decisions related to health and medicine. The article was published in the U. S. at the Dartmouth College. The collaborating publisher is a senior pursuing a degree in Global Health. She is also an intern at the New American Foundation based in Washington. The intended audience of the article is the public that is affected by the great public concern of obesity. The author intends to address the American public that faces the challenge improper nutrition. Americans living in food deserts are possible targeted audience of the article. They are the group facing a great challenge of proper access to nutritious food. In addition, the article targets the low-income earners that cannot afford nutritious food to prevent the challenge of obesity. Another vital audience of the article is the policy makers. The author encourages adequate funding of programs aimed at improving the public access to proper nutrition including SNAP (Blumenthal 1). She equally highlights the contribution of vital laws such as the Farm Bill to address challenges of improper nutrition. Policy makers and departments mandated to implement relevant policies, therefore, are targeted audience of the article. The author’s purpose in writing the article is to inform and educate the public on addressing the challenge of obesity as a serious health concern. According to

Speech Essay Example | Topics and Well Written Essays - 2750 words

Speech - Essay Example for charting all of the pertinent information specific to their patients and single handedly act as the liaison between the doctors and their patients. One would think that it would be the nurses who receive upwards of a half a million dollars a year along with private offices and reserved parking spaces. This is in fact, far from the reality of how the health care industry works. It is not an uncommon scenario to find an E.R. with full occupancy of its bays while still more patients poor through the door via ambulance. These patients are often stuck in the halls on cardiac monitors or in wheelchairs as they wait for the next bed to hopefully open up. While there is always an E.R. attending physician, it is the many R.N’s and L.P.N.’s that juggle the mass of sick patients which most hospitals never seem to be at a loss for. Nurses are essentially on the front lines of the medical industry and are paid little more than laborers and in some cases, they are paid less than laborers such as auto mechanics. It is relatively normal for an L.P.N. to make in the neighborhood of $16.00 an hour while an R.N. can command about $26.00 depending on years of