Invention of Calculus was one of the greatest discoveries ever. ... Newton was the first to apply calculus to general physics and Leibniz developed much of the notation used in calculus today; he often spent days determining appropriate symbols for concepts. ... Today, both Newton and Leibniz are given credit for developing calculus independently. ... Newton called his calculus "the science of fluxions". ... The best known of today' calculus was published by Newton. ...

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

During many Calculus courses the Concept of Limits are taught to students by showing them how, but not why. ... Now Limits have certain rules to follow if they want to be Limits. ... Since, we already know about the rule of left and right hand limits so we"re one third of the way there. ... This is used when your dividing expressions with variables such as x^3 or x to the third power. ... Limits are an integral part of calculus. ...

• Word Count: 614
• Approx Pages: 2
• Grade Level: High School

Another early calculating tool was called the "Slide Rule". ... The slide rule made multiplication and division much easier. Engineers and scientists used the slide rules until the invention of calculator in the early 1970's. ... Some have the ability to do complicated geometric, algebraic, trigonometric, statistical, and calculus functions. Now calculators operate on electrical power either by batteries, or solar cells. ...

• Word Count: 310
• Approx Pages: 1
• Grade Level: High School

The Geneva Conventions rules only apply to "prisoners of war.... The merits of torture must be looked at using utilitarian calculus or cost-benefit analysis. ... If cost-benefit analysis and utilitarian calculus is so pervasive that it is even drawn from our psychological biology, and can be found in the very confines of the wild, this of course then shirks the argument that aggression in the form of "torture" can be considered "inhumane.... Some claim that it is an unspoken rule that is understood in human nature – that if you run with a certain crowd, you are aware ...

• Word Count: 1327
• Approx Pages: 5
• Has Bibliography
• Grade Level: Undergraduate

The Geneva Conventions rules only apply to "prisoners of war.... The merits of torture must be looked at using utilitarian calculus or cost-benefit analysis. ... If cost-benefit analysis and utilitarian calculus is so pervasive that it is even drawn from our psychological biology, and can be found in the very confines of the wild, this of course then shirks the argument that aggression in the form of "torture" can be considered "inhumane.... Some claim that it is an unspoken rule that is understood in human nature – that if you run with a certain crowd, you are aware ...

• Word Count: 1327
• Approx Pages: 5
• Has Bibliography
• Grade Level: Undergraduate

In the abiding shadow of total war, and in the midst of a global hypertechnological economy, the inexorable dictates of interdependence have radically redefined mainstream power. ... The indictment of sitting heads of state, such as Slobodan Milosevic, became a defining moment for the rule of law in its most stark sense, embodying the proposition-captured in the Nuremberg Judgment's aphorism-that "[c]rimes against international law are committed by men, not by abstract entities, and only by punishing individuals who commit such crimes can the provisions of international law be enforced."2...

• Word Count: 1487
• Approx Pages: 6
• Grade Level: Graduate

He described the principles of utilitarianism with the phrase, "calculus of happiness," which explains whether actions are deemed either good or bad, while considering many variables such as duration, likelihood, and intensity (Mautner). ... Providing a moral thought process for the average person or individual holding a power in office, which will lead to the best decision being made from a utilitarian point of view. ... Utilitarianism provides the solution with the greatest utility, but often tied to great moral difficulty, while the theory of natural rights provides a set of mora...

• Word Count: 1392
• Approx Pages: 6
• Has Bibliography
• Grade Level: Undergraduate

We propose a discussion on preliminary results of a literature review pilot study regarding the use of CAS in post-secondary education. Several issues surrounding technology integration emerged from our review, and these are described in detail within the paper. The brief report on the type of analy...

• Word Count: 3390
• Approx Pages: 14
• Has Bibliography

The Church held its power throughout the Renaissance but with great power comes great responsibility and some fell victim to greed. "The Pope, who had the responsibility of running the Catholic Church as well, ruled Rome. As the power of the northern city-states grew, the Papacy increasingly became the seat of an international politician rather than a spiritual leader, and many pontiffs fell prey to the vices of corruption and nepotism that often accompanied a position of such power."... The invention of the printing press technology brought about a great power to the people. ...

• Word Count: 2877
• Approx Pages: 12
• Has Bibliography
• Grade Level: High School

The author talks about how life in the dormitories has radically changes her views on rules and morality of Yale College. ... Hacks main argument seems to be the rules that Yale has implemented on their freshman and sophomore class requiring them to live on campus in college dormitories. ...

• Word Count: 3184
• Approx Pages: 13
• Has Bibliography
• Grade Level: High School

The Dream Yet to be Realized. Almost fifty years have passed since the U.S. Supreme Court declared, in Brown v. Board of Education of Topeka, Kansas, that laws separating the races in school are unconstitutional. Hundreds of lawsuits later, black and white students were bused back and for...

• Word Count: 6633
• Approx Pages: 27

Our only rule is to stay within the fence. ... Teams are clubs; victories and defeats are real, not made-up; and rules are presumably applied evenly. ... Many sports psychologists and physical educators believe that before age 12, children simply aren't ready to perform the complex sequences of skills that many team sports require, just as calculus would flummox a kid still struggling with long division. ...

• Word Count: 4179
• Approx Pages: 17
• Grade Level: High School

I am going to take you through a journey on the back of a traveller that is old and weary. You will recognise the traveller and will know a lot about it. The traveller is on a journey, it has been to the past, is in the present and headed for the future and our traveller is asking questions of the...

• Word Count: 3863
• Approx Pages: 15
• Has Bibliography
• Grade Level: High School

Krannawitter points out, the "Southern demand for federal slave protection represented a demand for an unprecedented expansion of federal power." ... Buchanan said that the Dred Scott decision was proof that the South had no reason for secession, and that the Union "... was intended to be perpetual," but that, "The power by force of arms to compel a State to remain in the Union," was not among the "... enumerated powers granted to Congress." the National Banking Act and the authorization of United States Notes by the Legal Tender Act of 1862. ...

• Word Count: 6922
• Approx Pages: 28

Krannawitter points out, the "Southern demand for federal slave protection represented a demand for an unprecedented expansion of federal power." ... Buchanan said that the Dred Scott decision was proof that the South had no reason for secession, and that the Union "... was intended to be perpetual," but that, "The power by force of arms to compel a State to remain in the Union," was not among the "... enumerated powers granted to Congress." the National Banking Act and the authorization of United States Notes by the Legal Tender Act of 1862. ...

• Word Count: 7511
• Approx Pages: 30
• Grade Level: High School