... to whether Leibniz himself had discovered calculus on his own or whether he got the basic idea from Newton and then derived his own notation. The ideas of the infinitesimal calculus can be expressed either in the notation of fluxions or in that of differentials. The former was used by Newton in 1666, but no distinct account of it was printed till ... employed in the letter sent to Newton in 1677, and an account of it was printed in the memoir of 1684 described below. There is no question that the differential notation is due to Leibniz, and the sole question is as to whether the general...

• Word Count: 1554
• Approx Pages: 6
• Has Bibliography
• Grade Level: High School

... coordinates. The horizontal velocity x' and the vertical velocity y' were the fluxions of x and y associated with the flux of time. The fluents or flowing quantities were x and y themselves. With this fluxion notation y'/x' was the tangent to f(x,y) = 0. In his 1666 paper Newton discusses the converse problem, given the relationship between x and y'/x' find y. For that reason the slope of the tangent was given for ... of functions, however, but both always thought in terms of graphs. For Newton the calculus was geometrical while Leibniz took it towards analysis. Leibniz was very conscio...

• Word Count: 1603
• Approx Pages: 6
• Has Bibliography
• Grade Level: High School

... -238 has 0.00015 curies of radioactivity per pound (0.15 millicuries), while cobalt-60 has nearly 518,000 curies per pound. In the International System of units (SI), the becquerel (Bq) is the unit of radioactivity. One Bq is 1 disintegration per second (dps). One curie is 37 billion Bq. Since the Bq represents such a small amount, you are ... likely to see a prefix used with Bq, as shown below: 1 MBq (27 microcuries) 1 GBq (27 millicuries) 37 GBq (1 curie) 1 TBq (27 curies) SI Units and Prefixes The International System of Units has been given official status and recommended for univers...

• Word Count: 1882
• Approx Pages: 8
• Grade Level: High School

... of the Fili was addressed to his beloved countrymen, thus: "TO THE FILIPINO PEOPLE AND THEIR GOVERNMENT" EL FILIBUSTERISMO Ang nobelang "El Filibusterismo" ay isinulat ng ating magiting na bayaning si Dr. Jose Rizal na buong pusong inalay sa tatlong paring martir, na lalong kilala sa bansag na GOMBURZA - Gomez, Burgos, Zamora. Tulad ng "Noli Me Tangere", ang may-akda ay ... Noli ay nagtapos sa buwan ng Disyembre; ang Fili ay dito nagsimula. Ngunit ang Disyembre sa Noli at ang Fili ay may 13 taong nakapagitan. 3. Si Don Custodio ay tanungan at tagapayo ng mga taong pamahalaan. Si Ben Zay...

• Word Count: 1972
• Approx Pages: 8
• Grade Level: High School

... engine has fewer parts and uses a disk based system (Internal Combustion Engine). There are also spark ignition and compression ignition engines. The fuel is simple ignited by a spark in an SI engine, however in a CI engine the fuel is spontaneously ignited when the temperature and pressure is high enough (Stone). Two and four stroke engines vary in that a two-stroke engines ... the gases should be achieved; and the highest possible mixture pressure should occur before ignition." These were some of the earliest example of combustion engines. (Stone) There are two main types of internal ...

• Word Count: 2026
• Approx Pages: 8
• Grade Level: High School

... two more of two or more time signatures. The beat hierarchy in irregular meters can be simple (dividing in two parts) or compound (dividing in three parts). A 5/8 time signature, for example. -Key: the felt harmonic( and melodic) home base of a piece or section of music. A key is represented in a chord progression by that chord which feels like a resting place. -Measure: a group ... of beats starting with a downbeat. -Melody: a series of single notes. -Meter: the number of beats in a measure -Note: a sign used in musical notation to represent the relative duration and pitch of a sound. ...

• Word Count: 1778
• Approx Pages: 7
• Grade Level: High School

... . Primarily interested in mathematics, he founded Analytic Geometry and originated the Cartesian Coordinates and Cartesian curves. To algebra he contributed the treatment of negative roots and the convention of exponent notation. Descartes also contributed to optics, physiology, and psychology. René Descartes was born in La Haye, Touraine, March 31, 1596. "His father was a counselor of the Parliament of ... Do you believe that your philosophical achievements are greater than your mathematical achievements? René Descartes: I wouldn't say that one was more important than the other. Althou...

• Word Count: 1413
• Approx Pages: 6
• Has Bibliography
• Grade Level: High School

Mesopotamia and Ancient Egypt Mesopotamia and Ancient Egypt are both cradles of civilization. Both contributed greatly to human development through their achievements, failures, peoples, scientific accomplishments, philosophies, religions, and contributions. Mesopotamia is a rich flat plain created by deposits from the Tigris and Euphrates rivers. At the southern end of this plain developed the first recognizable ... this patron god owned the whole city. The Geography of this city helped a lot with the trade, and led to mathematics as well. The Sumerians developed a precise system of mathema...

• Word Count: 1372
• Approx Pages: 5
• Has Bibliography
• Grade Level: High School

... to another farm. There Cesar picked string beans, but there they couldn't make a living either. So they moved to Crescent city for a year. Cesar and his wife moved to Sal Si Puedes across from Cesar's brother. There ha raise his growing family, so far he had 3 kids. He was working in a lumber mill. In Sal ... Si Puedes Cesar met with a guy named Ross Alinsky. Ross Alinsky wanted to improve conditions of poor people in America. Ross orginized a group called CSO, Community Service Orginization. The CSO was ... an Orginization that let people have political control. Sal Si Puedes made Ces...

• Word Count: 2209
• Approx Pages: 9
• Grade Level: High School

... and then I said, "Hi, my name is Tony, do want to walk around the plaza?- She looked at me and said, "Que?- "Vamos a caminar alrededor de la plaza."" I said quickly. "Si, vamos."" "What's your name? From which part of the United States do you come from?- I asked her. "No hablo ingles."" So I asked her again for her name and from which ... school, and finish up my junior year. "Imelda yo me tengo que ir para Los Estados Unidos manana pero yo quiero que tu seas mi novia, que me dices. Si o no?- I told her. "Si, yo quiero ser tu novia."" I told her that I was going to write to her twice a ...

• Word Count: 2069
• Approx Pages: 8
• Grade Level: High School

... . These people may have closely resembled Bigfoot in appearance, causing people to question what Erikson had seen. There are also stories about other Indian tribes who had encountered Bigfoot. For example, the Karok Indians told about "upslope persons who were hairy, large, strong, stupid, and crude"" (Gaffron 22). Some tribes even made art of Bigfoot. The Kwakiutls, a tribe near British Columbia ... (12 to 15 feet tall cannibals) were said to attack Indian villages and take the inhabitants for food. The Paiute Indians have history with these giants that they called the Si Te Cah (Paulid...

• Word Count: 1785
• Approx Pages: 7
• Grade Level: High School

... (translation and reflection are not elements of the symmetry group). The final test, if necessary, is to determine the locations of the centers of rotation. In the article, "The Orbifold Notation for Surface Groups," J.H. Conway illustrates the different crystallographic groups and why there are only seventeen of such groups. Conway invented the game Life and was the first person to solve ... you hit a line of reflection. There you record a *, which is a chaperone's ticket. Now follow the line of reflection in either direction until it intersects with another line of reflection. For exa...

• Word Count: 1586
• Approx Pages: 6
• Grade Level: High School

... use of counterpoint is concerned. Although, it has been noted that there are times where hints of a newer style are seen in his work. For example, Monteverdi set the pastoral verse in a "...melodious way and underlining the text with the musical images of the Marenzian school10 (Sadie 518)." In this work ... , a particular piece of interest is the Ardo, si, ma non t"amo. This cycle11 shows Monteverdi with a "distinct interest in the deriving of formal patterns from musical motifs with similar rhythms (Sadie 518)." ... and descending (Sadie 519)." One new idea Monteverdi brought to this b...

• Word Count: 1875
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• Has Bibliography
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... approximately 30 to 40 rings per inch. This is in contrast with todays fast growing hardwoods that develop 4 to 7 rings per inch. Another reason for the high demand is more scientific. While the wood is soaked in water, anaerobic bacteria eat away at the hemicellulose/peltic substances in the wood, changing it at the cellular level. This means that the heavy ... "TED Case Studies." 1997. http://www.american.edu/ted/SUNKWOOD.HTM "The Science of Timeless Timber." http://www.survivorwoods.com/timelesstimbers/history.htm "Waterlogging." Smithsonian Magazine. 2000. http://www.smithsonianmag....

• Word Count: 1319
• Approx Pages: 5
• Grade Level: High School

... (from shaving soap to skin care products, and so on). The "Raspberry rain" which is the kind of after-shave that we have in this advertisement is new like the notation on the ad says "New Skintimate After-shave gel". In a cultural perspective, we can see how the ad represents Westerner values. Indeed, the Western values and more specifically the American ... a woman's breast (the fruit being the nipple) with cream on top of it. I think that the advertisers used this image to get the reader's attention while going through the magazine. A notation says about the gel that "It's like desser...

• Word Count: 1526
• Approx Pages: 6
• Grade Level: High School

... 5 essays, "The Negro Artist and the Racial Mountain." Langston Hughes was a very private man. The one person who was able to penetrate Hughes remoteness was a beautiful Chinese ballet-dancer named Si-Lan Chen, whom he met in 1933 while staying in Moscow. Thirty-one years at the time, Hughes had reluctantly accepted the fact that he was homosexual; he was surprised ... with a woman. He had a love affair. It wasn't his first, but it was the most serious. It ended when Hughes was unable to commit himself fully to the relationship as Si-Lan wanted. In the 1940s, Hughes became disillusioned ...

• Word Count: 1295
• Approx Pages: 5
• Grade Level: High School

... fichue d'apres aussi. A cause de son réalisme, Inez est capable de réaliser rapidement les mensonges d'Estelle et de Garcin. Elle sait que les deux ne peuvent pas etre si noble et droits comme ils disent parce que s'ils soient, ils n'étaient pas à l'enfer avec elle. En manipulant les autres, Inez finalement réussit à laisser les deux raconter leurs ... en tuant leur bébé. C'est seulement Inez qui les pousse à raconter la vérité. Bien qu'Inez est aussi mauvaise qu'Estelle et Garcon, Sartre ne la critique si fort que les autres. Elle est honnete en parlant de ce qui s'est...

• Word Count: 1562
• Approx Pages: 6
• Has Bibliography
• Grade Level: High School

In the 18th century Liberalism help in the American Revolution by challenging the Absolute power of the Monarchy. (Political Ideologies p.24, 25) Liberalism were tired of the notation of "divine rights of a king" and an "accident of birth" for the social class statuses. Liberalism pushed for a government of representation and constitution, which is the opposite of Monarchy. In ... that controls the government. The development of a Constitution will limit authority and potential abuse of powers by the individuals. Authoritarianism is the disliking of one person being in charge, for example, t...

• Word Count: 2014
• Approx Pages: 8
• Has Bibliography
• Grade Level: High School

... parts, is the mathematical description of a quantum state. The wave function, first put into practice by SchrÖdinger, can be represented as a function of space and time using the notation ψ(x,t). It is found that the wave function is closely related to the probability of an observation. Quantum physics suggests that when the amplitude of a wave function is squared, the ... probability density function is the outcome. The probability density function is an explanation of the results, of observations of a system, hence consisting entirely of real parts. An example of a two state system, ...

• Word Count: 1763
• Approx Pages: 7
• Grade Level: High School

... of deputies and senators, etc) are the minority and often they do not put attention to the necessities of the majority (the town). An example of this, I believe that I could be what passage at the beginning of this year when camara of deputies and senators decided the new fiscal ... idea is that all person within a State is described to participate in desiciones (votings) that can affect their interests. But they are contradicted since a great example of Dahl is that los young. (Dahl, pg. 121) they are members that are excluded from we give. Now adoptar is needed certain means to ... (D...

• Word Count: 2018
• Approx Pages: 8
• Has Bibliography
• Grade Level: High School

... they wish. The worries of the fast city life can be eliminated. Visually impaired people feel safe when they are with their guide dog. Take for example, Patricia Simons, who stated, "My dog is my partner. She gives me confidence, information about my surroundings. She guides me smoothly and carefully and ... gives me my independence" (Yu, 1999). Also take for example Darren Burten's comment, ""Yesterday the winding pin came out of my watch and fell off. I did not even notice it, but Levi [Burten's guide dog ... strides in the Braille system. It is now possible to hood up a device to a c...

• Word Count: 1421
• Approx Pages: 6
• Grade Level: High School

... influence who are on display brawling with each other. While on the other hand there is a lot of white influence that is "right- or positive for example the stripper who is white or the white men who are looked upon as being a superior audience. Then goes to his college and is expelled for having ... white) or accident (black), the structure of Negro respectability rests upon deception and those who profit from it cannot bear to have the reality exposed (another example of white: the college is more than likely dependent upon the Northern white millionaire or the good). The blacks seem t...

• Word Count: 1401
• Approx Pages: 6
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... harps were popular instruments during this time. Unfortunately most secular pieces were not recorded, and those pieces that were, are fairly difficult to perform because of the lack of rhythm notation. About 1,650 secular melodies have been discovered and preserved, many of them dating as far back as the twelfth and thirteenth centuries. The Renaissance period took place between from 1450 ... mood changes in a piece of music is at the beginning of a new movement. Some compositions consist of many movements, each displaying it's own mood. Vivaldi's Four Seasons is an excellent example of...

• Word Count: 1860
• Approx Pages: 7
• Has Bibliography
• Grade Level: High School

... in the next section. Existence of the Laplace Transform A function has a Laplace transform whenever it is of exponential order. That is, there must be a real number such that As an example, every exponential function has a Laplace transform for all finite values of and . Let's look at this case more closely. The Laplace transform of a causal, growing exponential function is given by ... unique function y(t) that is continuous on [0,infty) and satisfies L[y(t)](s)=Y(s). If all possible functions y(t) are discontinous one can select a piecewise continuous function to be the inverse transf...

• Word Count: 1385
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... not enjoy the game of baseball as much as they used to or else they would not be complaining about pay cuts and luxury taxes. A good example of a player who loved the game of baseball is Pete Rose. Pete Rose a former baseball superstar and highly respected athlete for his extreme hustle ... the game today. In the year 2002, there was speculation that there would be a strike. In Christopher Thomas"s article "Baseball"s Cold War" he says A CNN/SI.com poll asks the question: Will there be a strike this year? It stands at 51% yes, 49% no. More disturbing, for baseball anyway, is the flaggin...

• Word Count: 1955
• Approx Pages: 8
• Grade Level: High School