... and brachistochrone),Leibniz, together with Huygens and Jacob and Johann Bernoulli, came quite close to creating the calculus of variations (1686-96).In subsequent works Leibniz indicated (1695) the formula for repeated differentiation of a product and rules for differentiating a number of the most important transcendental functions, and in the years 1702-03 he developed the integration of rational functions. ... of the area of a figure. The relation between differentiation and integration is best illustrated by the "Fundamental Theorem of Calculus" (which is sometimes known as the "Newt...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

... the product to be equally important, not because of how they can be contrasted, but because they occur at discrete stages during education. When I need to recall back upon a math formula, or the definition of an English word, I am recalling my memory, and this memory can be found only because it is something I have once taken the time to study, and ... after you have learned it once you will never again need the proof but just the formula itself. Metaphorically, the proving of the formula is a mathematical process of learning, which ultimately brings forth the product, or the formula. I...

• Word Count: 900
• Approx Pages: 4
• Grade Level: Undergraduate

... despite the fact that the Ferrari team already had two leading drivers of its own (Nicholson and Hamilton, 1996). In 1950 Alfa Romeo returned to formula one and dominated the majority of the season but after missing a few races for fine-tuning, Ferrari returned with a jolt and fought to the ... the 1.5-liter engine of the Alfetta's and the engine that powered Ferrari to win the Grad Prix ("Enzo Ferrari", paras 6-7). Ferrari's first years in the formula one circuit were off to a very good start considering that Ferrari had won the drivers championship 2 years straight in their first 5 ye...

• Word Count: 1943
• Approx Pages: 8
• Grade Level: Undergraduate

... would have had a concert plan to visit the areas of the projects, they could have met the actual or imminent injury that the Court's cases required. Comparing Justice O"Connor's formula with Justice Scalia formula There was not a major difference between the justices" formulas. Conversely, it appeared that they used the same format. They began with establishing that the Court's authority originated with ... stated that there was no doubt that the respondents" case was the type of noneconomic injury which was the most serious consequence of discriminatory government action. Comparing O"C...

• Word Count: 1662
• Approx Pages: 7
• Grade Level: Undergraduate

... that animate nature and the mutual positions of the beings that comprise it, if this intellect were vast enough to submit its data to analysis, it could condense into a single formula the movement of the greatest bodies of the universe and that of the lightest atom: for such an intellect nothing could be uncertain, and the future just like the past ... . This world that we believe to be so true would simply be a program written for humans to live in, and each atom in this universe will have a programmed global mathematical formula to use, which we call "destiny" or "fate". Humans will no...

• Word Count: 791
• Approx Pages: 3
• Grade Level: Undergraduate

... most of the common polysaccharides are glucose polymers. Glucose is a hexose and has 6 carbon atoms in its chain and has the formula C6H12O6. All other hexose sugars have the same formula, such a B-Glucose, Fructose and Galactose. They have the same formula, but have slightly different structure and so are known as Isomers of each other. The differences are very small but do greatly ... ...

• Word Count: 1230
• Approx Pages: 5
• Grade Level: Undergraduate

... income and dividing it by the divisional investment. One other way in figuring out the ROI of a division is the use of the well known, Dupont formula. A restatement of the original formula, it breaks the basic formula into two ratios, the ratio between income and sales multiplied by the ratio of sales by investments. The value given by the ROI will give clues ... ...

• Word Count: 472
• Approx Pages: 2
• Grade Level: Undergraduate

... for developing countries v/s such as self-selection for "special products", use of a special safeguard mechanism for developing countries, and the preservation of preferences on market access, the paper calls for a formula that tackles high tariffs peaks, and tariff escalation. The blended approach would fail to tackle these because it would allow developed countries to put products at high tariff in the ... raising this in the negotiation. Non- Agricultural Market Access Facilitator Henry Tang Ying-yen reported some progress but all members will need to show some flexibility. Differenc...

• Word Count: 2490
• Approx Pages: 10
• Grade Level: Undergraduate

... of E-commerce and the implications it entails. In assessing the implications of E-commerce in terms of marketing, it is important to understand its impact with respect to the marketing strategy formula. As the Internet and in turn E-commerce has developed, and continues to evolve and grow, it is vital that any organization, in any particular industry, must base its strategic planning ... then possible to understand E-commerce's implications in regards to the fundamental marketing strategies. By focusing on tools such as the competitive strategy framework, organizations can gain a better...

• Word Count: 1558
• Approx Pages: 6
• Grade Level: Undergraduate

Introduction Nutriset is a French company that has patented the formula for Plumpy'nut. Plumpy'nut was created to combat malnutrition in children in under developed countries. It is a ready to eat peanut butter paste, packed with vitamins and minerals. Nearly ... produce, while also providing a source of employment for surrounding communities. The capacity of Nutriset's production is nowhere near what is required to eradicate the malnutrition epidemic. Nutriset has patented the formula for Plumpy'nut. This patent prevents other countries and organizations from producing the peanut paste. If ...

• Word Count: 1936
• Approx Pages: 8
• Grade Level: Undergraduate

... . Furthermore, it is not just an ordinary car, it is a car equipped with the most modern technology, capable of giving the same output as you would expect from the average formula racing car. What will be the effect on society? The social aspects of the work being carried out by FERN are vast and impactful. The areas which are being targeted ... the main focus of FERN. The team aspires to localize racing at the most primitive level. Also, to promote sportsmanship, fair competition, camaraderie among participants and encourage youth participation in Formula Student recognized competitions...

• Word Count: 622
• Approx Pages: 2
• Grade Level: Undergraduate

... a fickle consumer segment. The American public has grown more sophisticated in their tastes and they now demand increased quality, and healthier food and beverage options. Budweiser has not changed their formula or flavor in over 100 years, and it doesn't appear as if they have any intention on doing so despite the, arguably, high excessive number of calories and poor taste ... Twitter complaining that its sauce tasted like ketchup. Instead of confronting users, and perhaps making matters worse, it decided to listen to what its users were saying, and refine the formula in order to impr...

• Word Count: 2270
• Approx Pages: 9
• Grade Level: Undergraduate

... that attracts the attention of domestic and international media, business, and public interest is considered a "major sporting event". Australia plays host to many annual events each year such as the Formula One Grand Prix, Spring Racing Carnival, and the Australian Open Tennis Championships. Australia has also established itself among the leaders in attracting some of the largest international sporting events such ... direction. However, there is one event that has come under some scrutiny because it received $19 million in government subsidy in 2002. This event is Australia's largest ...

• Word Count: 1956
• Approx Pages: 8
• Grade Level: Undergraduate

... . Einstein wrote five landmark papers that cover Brownian motion, the photoelectric effect, and his theory of relativity. It was with his relativity theory that he devised his most famous mathematical formula of all time, E=mc. There are very few people who qualify for the term genius, and in my opinion Albert Einstein most definitely qualifies. Mathematics is a disciplined field. It is ... in government and educational positions. The average annual salary for a government mathematician is $62,000; for mathematical statisticians, $65,660 In conclusion, "Good mathematicians do not rush in...

• Word Count: 1528
• Approx Pages: 6
• Grade Level: Undergraduate

... , from which some fell through a hole in the upper chamber. Millikan was then able to measure their terminal velocity which let him deduce the mass of each oil drop through a formula. Next as he applied a charge to the drops, by illuminating the bottom chamber with x-rays, the air became ionized and electrons readily attached themselves to the oil drops. By aid ... question refuted those scientists who still held the belief that electrons and even atoms were not fundamental, discrete particles. He also produced a value that when inserted into Niels Bohr's theoretical formula for the hydr...

• Word Count: 600
• Approx Pages: 2
• Grade Level: Undergraduate

... life. While initially this cure may cause intense boredom, the only true side effects will be possible snoring and or drooling. To fully understand Ms. Bronte's formula for a good night's rest let us analyze the formula of her book which makes it totally uninteresting and difficult to follow. First, Bronte gives us paragraphs of tedious descriptions that have absolutely nothing to do ... ...

• Word Count: 563
• Approx Pages: 2
• Grade Level: Undergraduate

... will provide my reflection on the proposal and I as the worker assigned to the caseload. ASSESSMENT Assessment is the coalition of all relevant and appropriate information from which an opinion / formula is created in a controlled and structured manner. The aim of an assessment, once undertaken, should be the alleviation or minimization of the impact created in any given situation with adverse ... will provide my reflection on the proposal and I as the worker assigned to the caseload. ASSESSMENT Assessment is the coalition of all relevant and appropriate information from which an opinio...

• Word Count: 2513
• Approx Pages: 10
• Grade Level: Undergraduate

... of race, but an exaggeration of form or appearance, deviations from the norm that attracted large audiences. However, Burrows and Wallace emphasize race, "blackness" in particular, as "central to Barnum's formula." Barnum's "champion nigger dancer" was well-received, but was not singularly responsible for the impresario's commercial success. Barnum did not limit his freakish displays to black caricatures as loosely suggested ... by the umbrella term, "blackness." Rather, "blackness" was synonymous with the grotesque, the latter of which was imperative to Barnum's formula. Barnum's eager...

• Word Count: 253
• Approx Pages: 1
• Grade Level: Undergraduate

In the Thomas Friedman the Lexus and The Olive Tree he reveals the new formula that the post cold world era has impose. The author provides a manual that explains the opportunities and dilemma that the globalisation has cause to the world society. Friedman divides the ... to choose form an array of competing pension options and foreign run pension and mutual funds"(105). This is what Friedman means by the golden straightjacket, which is just the formula which its to be apply for countries to be major attributer of the globalisation society. One can find this idea to be to handy if the countr...

• Word Count: 2593
• Approx Pages: 10
• Grade Level: Undergraduate

... to perform such a role. But UN headquarters never sought such authorization from the Security Council, nor did the Council ever initiate such a move. When a UN mission leaves a country, it follows a formula to determine how much of its equipment should be left behind. UNAMIR owned much desperately needed equipment, from computers to vehicles to furniture. When the mission wrapped up in April ... 1996, both UN officials in Kigali and members of the Security Council urged UN headquarters to interpret the formula with maximum generosity and flexibility; they believed that 80% of all non-le...

• Word Count: 3307
• Approx Pages: 13
• Grade Level: Undergraduate

... the exclusion of proper cabinet discussion, or to bypass such discussion via smaller decision-making groups. For example, the decision to exclude Formula One motor racing from the ban on tobacco advertising was taken after a small meeting with Bernie Ecclestone, Formula One's chief organiser, plus a few officials. Making it worse was the fact that the junior minister, Tessa Jowell, and her boss ... ...

• Word Count: 2094
• Approx Pages: 8
• Grade Level: Undergraduate

... the removal of lead from gasoline. The elimination of lead solder from cans has reduced the hazard of exposure to lead from canned food; in particular canned milk for infant formula. There is increasing awareness of the hazard from lead in tap water contaminated from solder and lead- containing fittings in residential plumbing. Lead in water is more efficiently absorbed than ... is lead in food; lead in water used for infant formula is an additional hazard. Measurable effects occur with blood lead concentration in the 0.48.72 mu mol/L (1-15 mu g/dL) range and more than one million child...

• Word Count: 1554
• Approx Pages: 6
• Grade Level: Undergraduate

... to act upon the ideas of the Canadian people. Trudeau and the premiers of the 10 provinces of Canada met in 1980 to resolve the issue of an acceptable amendment formula. Prime Minister Trudeau wanted to reach an agreement that was reasonable fro all provinces. Quebec, at the time wanted a veto power over any changes that would be unacceptable for its ... Act was passed in 1982 by British Parliament. On April 17, 1982, Queen Elizabeth signed the proclamation that changed the British North America Act to the Constitutional Act. The amending formula that allows Canada to continue to rebuil...

• Word Count: 354
• Approx Pages: 1
• Grade Level: Undergraduate

... , from which some fell through a hole in the upper chamber. Millikan was then able to measure their terminal velocity which let him deduce the mass of each oil drop through a formula. Next as he applied a charge to the drops, by illuminating the bottom chamber with x-rays, the air became ionized and electrons readily attached themselves to the oil drops. By aid ... question refuted those scientists who still held the belief that electrons and even atoms were not fundamental, discrete particles. He also produced a value that when inserted into Niels Bohr's theoretical formula for the hydr...

• Word Count: 579
• Approx Pages: 2
• Grade Level: Undergraduate

... make Pocahontas different from other Disney movies, writers and executives knew that the movie would probably not be as successful if it strayed away too much from the Disney movie formula. What ended up happening was yet another typical Disney movie that not only angered many critics, but also fell into the trap of stereotyping, this time with Native Americans. Aside ... companies to get away with a lot of things. The idea of crossing over someone's "comfort zone" was too much to handle, which justified Disney's need to produce stories that follow a formula similar to their previous bl...

• Word Count: 925
• Approx Pages: 4
• Grade Level: Undergraduate