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The Advantages Of Getting A University Degree From A Foreign University
Discussion of the whether a degree obtained from abroad provides certain advantages and what these advantages might be. -- 650 words;

Universal Reason, Universal Mind
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The State of the University
Analysis of Clark Kerr's and Bill Readings' findings that the university as a cultural institution is in ruins and in need of a major transformation. -- 1,150 words;

A Proposal for Student Transportation at Rutgers University
This paper presents a proposal for improved student transportation at Rutgers University, using it as an example to present the necessity and advantage of low-cost student transportation. -- 1,550 words;

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UNIVERSE

Not so much a theory of the universe as a simple picture of the planet we call home, the
flat-earth model proposed that Earth's surface was level. Although everyday experience
makes this seem a reasonable assumption, direct observation of nature shows the real
world isn't that simple. For instance, when a sailing ship heads into port, the first
part that becomes visible is the crow's-nest, followed by the sails, and then the bow of
the ship. If the Earth were flat, the entire ship would come into view at once as soon as
it came close enough to shore.
The Greek philosopher Aristotle provided two more reasons why the Earth was round. First,
he noted that Earth's shadow always took a circular bite out of the moon during a lunar
eclipse, which would only be possible with a spherical Earth. (If the Earth were a disk,
its shadow 
would appear as an elongated ellipse at least during part of the eclipse.) Second,
Aristotle knew that people who journeyed north saw the North Star ascend higher in the
sky, while those heading south saw the North Star sink. On a flat Earth, the positions of
the stars wouldn't vary with a person's location. Despite these arguments, which won over
most of the world's educated citizens, belief in a flat Earth persisted among many
others. Not until explorers first circumnavigated the globe in the 16th century did those

beliefs begin to die out.
Ptolemy, the last of the great Greek astronomers of antiquity, developed an effective
system for mapping the 
universe. Basing much of his theory on the work of his predecessor, Hipparchus, Ptolemy
designed a geocentric, or Earth-centered, model that held sway for 1400 years. That
Ptolemy could place Earth at the center of the universe and still predict the planets'
positions adequately was a testament to his ability as a mathematician. That he could do
so while maintaining the Greek belief that the heavens were perfect-and thus that each
planet moved along a circular orbit at a constant speed-is nothing short of 
remarkable.
Copernicus made a great leap forward by realizing that the motions of the planets could
be explained by placing the Sun at the center of the universe instead of Earth. In his
view, Earth was simply one of many planets orbiting the Sun, and the daily motion of the
stars and planets were just a reflection of Earth spinning on its axis. Although the
Greek astronomer Aristarchus developed the same hypothesis more than 1500 years earlier,
Copernicus was the first person to argue its merits in modern times.
Despite the basic truth of his model, Copernicus did not prove that Earth moved around
the Sun. That was left for later astronomers. The first direct evidence came from
Newton's laws of motion, which say that when objects orbit one another, the lighter
object moves more than the heavier one. Because the Sun has about 330,000 times more mass
than Earth, our planet must be doing almost all the moving. A direct observation of
Earth's motion came in 1838 when the German astronomer Friedrich Bessel measured the tiny
displacement, or parallax, of a nearby star relative to the more distant stars. This
minuscule displacement reflects our planet's changing vantage point as we orbit the Sun
during the year.
How did the universe really begin? Most astronomers would say that the debate is now
over: The universe started with a giant explosion, called the Big Bang. The big-bang
theory got its start with the observations by Edwin Hubble that showed the universe to be
expanding. If you imagine the history of the universe as a long-running movie, what
happens when you show the movie in reverse? All the galaxies would move closer and closer
together, until eventually they all get crushed together into one massive yet tiny
sphere. It was just this sort of thinking that led to the concept of the Big Bang.
The Big Bang marks the instant at which the universe began, when space and time came into
existence and all the matter in the cosmos started to expand. Amazingly, theorists have
deduced the history of the universe dating back to just 1043 second (10 million trillion
trillion trillionths of a second) after the Big Bang. Before this time all four
fundamental forces-gravity, electromagnetism, and the strong and weak nuclear forces-were
unified, but physicists have yet to develop a workable theory that can describe these
conditions.
During the first second or so of the universe, protons, neutrons, and electrons-the
building blocks of atoms-formed when photons collided and converted their energy into
mass, and the four forces split into their separate identities. The temperature of the
universe also cooled during this time, from about 1032 (100 million trillion trillion) 
degrees to 10 billion degrees. Approximately three minutes after the Big Bang, when the
temperature fell to a cool one billion degrees, protons and neutrons combined to form the
nuclei of a few heavier elements, most notably helium.
The next major step didn't take place until roughly 300,000 years after the Big Bang,
when the universe had cooled to a not-quite comfortable 3000 degrees. At this
temperature, electrons could combine with atomic nuclei to form neutral atoms. With no
free electrons left to scatter photons of light, the universe became transparent to
radiation. (It is this light that we see today as the cosmic background radiation.) Stars
and galaxies began to form about one billion years following the Big Bang, and since then
the universe has simply continued to grow larger and cooler, creating conditions
conducive to life.
Three excellent reasons exist for believing in the big-bang theory. First, and most
obvious, the universe is expanding. Second, the theory predicts that 25 percent of the
total mass of the universe should be the helium that formed during the first few minutes,
an amount that agrees with observations. Finally, and most convincing, is the presence of
the cosmic background radiation. The big-bang theory predicted this remnant radiation,
which now glows at a temperature just 3 degrees above absolute zero, well before radio
astronomers chanced upon it. Friedmann made two simple assumptions about the universe:
that when viewed at large enough scales, it appears the same both in every 
direction and from every location. 
From these assumptions (called the cosmological principle) and Einstein's equations, he
developed the first model of a universe in motion. The Friedmann universe begins with a
Big Bang and continues expanding for untold billions of years-that's the stage we're in
now. But after a long enough period of time, the mutual gravitational attraction of all
the matter slows the expansion to a stop. The universe then starts to fall in on itself,
replaying the expansion in reverse. Eventually all the matter collapses back into a
singularity, in what physicist John Wheeler likes to call the "Big Crunch."
Gravitational attraction is a fundamental property of matter that exists throughout the
known universe. Physicists identify gravity as one of the four types of forces in the
universe. The others are the strong and weak nuclear forces and the electromagnetic
force. 
More than 300 years ago, the great English scientist Sir Isaac Newton published the
important generalization that mathematically describes this universal force of gravity.
Newton was the first to realize that gravity extends well beyond the boundaries of Earth.
Newton's realization was based on the first of three laws he had formulated to describe
the motion of objects. Part of Newton's first law, the Law of Inertia, states that
objects in motion travel in a straight line at a constant velocity unless they are acted
upon by a net force. According to this law, the planets in space should travel in
straight lines. However, as early as the time of Aristotle, the planets were known to
travel on curved paths. 
Newton reasoned that the circular motions of the planets are the result of a net force
acting upon each of them. That force, he concluded, is the same force that causes an
apple to fall to the ground--gravity. Newton's experimental research into the force of
gravity resulted in his elegant mathematical statement that is known today as the Law of
Universal Gravitation. According to Newton, every mass in the universe attracts every
other mass. 
The attractive force between any two objects is directly proportional to the product of
the two masses being measured and inversely proportional to the square of the distance
separating them. If we let F represent this force, r the distance between the centers of
the masses, and m1 and m2 the magnitude of the two masses, the relationship stated can be
written symbolically as: is defined mathematically to mean is proportional to.)
From this relationship, we can see that the greater the masses of the attracting objects,
the greater the force of attraction between them. We can also see that the farther apart
the objects are from each other, the less the attraction. It is important to note the
inverse square relationship with respect to distance. In other words, if the distance
between the objects is doubled, the attraction between them is diminished by a factor of
four, and if the distance is tripled, the attraction is only one-ninth as much.
Newton's Law of Universal Gravitation was later quantified by eighteenth-century English
physicist Henry Cavendish who actually measured the gravitational force between two
one-kilogram masses separated by a distance of one meter. This attraction was an
extremely weak force, but its determination permitted the proportional relationship of
Newton's law to be converted into an equation. This measurement yielded the universal
gravitational constant or G.


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