Borders Investigation
Introduction
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The starting point for this investigation is the following sequence of
cross shapes:
[IMAGE]
The sequence begins with a single white square, which is then
surrounded by black squares to form the second shape. Each new cross
is then formed by completely surrounding the previous cross with a
border of black squares. In each new cross, the previous cross can be
seen as the area of white squares in the centre.
The aim of this investigation is to derive algebraic formulae from the
sequence, each expressing one property in terms of another (e.g.
defining the area as the diameter squared). These formulae can then be
examined and, hopefully, proven, using a wide variety of mathematical
tools.
The next stage will then be to apply this same process to the
three-dimensional counterpart of this sequence of shapes. This
sequence would begin with a single white cube, which would then be
surrounded on all six sides by black cubes, and the sequence would
continue in the same way as the two-dimensional version.
2D
==
Defining n
Throughout this investigation, the variable n (the value in the phrase
"nth term") is used to refer to terms in sequences. Terms are compared
to, and expressed as functions of, n. However, in order to be able to
identify the value of n for a random shape, we must define what the
first term is in each sequence, and relate n to a physical property of
the shape.
For our 2D cross, I will define the first cross as a single square,
but give it a value of n equal to zero. This means that the value of n
for any 2D cross shape can be seen as the number of borders that
surround the centre square, or the number of squares which the shape
extends away from the centre.
[IMAGE]
[IMAGE]
The diameter can now be conveniently expressed as [IMAGE]:
Perimeter
If we measure the perimeter of the first four crosses and put them on
The non-native English speakers had to assimilate. When they came to the United States to live their new life in the states. In the article “Leave Your Name at the Border,” Munoz’s stepfather had to change his name so that he could better support his family in the states but if had never changed his name he was at risk of getting passed over for a job. “This isn’t to say that my stepfather welcomed the change, only that he could not put much resistance,” for a country that’s supposed to have freedom but does not allow to keep your name which is part of your culture so that you could be better accepted into their
A nation without borders is not a nation. Today, every country is making effort to secure its borders not only from terrorists, drugs and smuggling but also from illegal immigration. All these recurring activities have sparked the United States to secure its borders against illegal immigrants and terrorism by creating a special department named the Department of Homeland Security (DHS) headed by the Secretary of Homeland Security. After the terrorist attack of 9/11, terrorism and illegal immigration were two striking issues for the DHS. To solve these issues, the Department of Homeland Security further created two immigration enforcement agencies: U.S. Immigration and Customs Enforcement (ICE) and the U.S. Customs and
The U.S. Border Patrol is the organization that polices the access of illegal immigrants into our country. The bureaucrat task of the United States Border patrol is to defend the boundaries of the United States by preventing illegal admission, and by detecting, interdicting, and detain illegal aliens, smugglers, and illegal imports. Today, the United States Border Patrol is accumulative of 21 sectors. A chief patrol agent controls each sector. There are 145 stations placed throughout the continental United States, and in Puerto Rico. The Border Patrol controls the border by land, sea, and air. The Border Patrol has jurisdiction across all of the United States borders and at least 25 miles off the border. One of the most important duties of a Border Patrol Agent is line watch. This involves the finding, prevention, and fear of terrorists, undocumented aliens, and smugglers of aliens next to or close to the land border by maintaining surveillance from a concealed position, following up leads, answer to electronic sensor television systems, aircraft sightings, along with understanding as well as following tracks, marks and other physical evidence. Some of the major activities are farm along with ranch checks, traffic checks, traffic observations, city patrols, transportation checks, organizational, intelligence, and anti-smuggling activities. The Border Patrol agents are also responsible to check factories for illegal workers. The job of a Border Patrol is indefinitely a hard-working job, which is not a simple job to execute. Each agent has a task to carry out and complete within a days of work. Even though the Border Patrol Agents show hard work, courage, and dedication, some skeptics believe that the Border Patrol does ...
Your Citizenship please? At a point in time, people encounter this question when you are about to cross the border into a different country, whether it is by car, train or plane. It questions one’s identity as to who they are. Most people answer with the current country they live in but does one ever answer with the country that they were from? “Borders” by Thomas King, is an intriguing story about a mother that has pride in her culture and values where she comes from. Along with her two kids, she resides in a native community. The mother has to declare her citizenship at the border, where she persistently presents herself as “Blackfoot.” The story, “Borders”, illustrates how difficult it is for Aboriginals to maintain their cultural identities in contemporary times. The mother and the daughter have several cultural differences as the mother, who displays extremely strong values and feelings towards her culture while her daughter, Laetitia wants to explore outside of her reserve. There is an imaginary line that King refers to is an additional obstacle that impedes on their culture. They have to respect the border but still maintain their culture. The obstacle that the imaginary line creates a political alliance which adds to their cultural values. Lastly, the title “Borders” itself, is very symbolic and play a significant role in the theme. The title intrigues the reader and identifies an idea that is central to the theme of the story.
The border region has seen “rapid transformation in a short span of time, changing from a cattle ranching and mining area that attracted U.S., Mexican and European capitalists…to the center of a lucrative vice and pleasure-based tourist industry, to a region that …attracted an extraordinary amount of international capital to its manufacturing and services sector”. (Ganster/Lorey 2) Events and years such as the implementation of the railroad, the years before the Mexican Revolution, the land reform in 1936 and 1937, the implementation of the maquiladora program and the 1994 North American Free Trade Agreement (NAFTA) has had a significant impact on the U.S. Mexican Borderlands.
In “The Border Patrol State” Leslie Silko makes accusations of the border patrol’s mistreatment of American citizens of Mexican decent, making the argument with almost evidence. Silko, a critically acclaimed poet, sees the border patrol as a governmental assembly addicted to interrogation, torture, and the murder of those they see fit.
Imagine this, living in a very small town, smaller than Kachina Village, with only one store where you could make and receive phone calls, there are no public phones, no residential phone lines, no electricity and no running water. The roads are not paved until you get to the main road where people travel the most. The next town is about thirty minutes away, and there is only one bus that comes to this small town once a week, so people can go shopping and do other things. In this small town there are hardly any vehicles, people either walk, bike, or ride donkeys. There are hardly any jobs and so the only thing you can do is to leave for another place and look for a job to support your family. If someone told you that there was a place where people had many opportunities to find work and make better money, would you go? This small town I am describing is a place called La Huertilla in a state called Oaxaca in Mexico; it is the place where my son Mauricio’s grandparents live.
Chomsky’s goal in Undocumented: How Immigration became Illegal is to show the complex, inconsistent formation of illegal immigration. She looks at contributing factors of this flawed system, which range from individuals to governments; states to the global economy. The book also depicts how changes in the past and present global economy have created illegal immigration through a “dual labor market which some workers become upward mobile, while others are structurally stuck at the bottom” (9). Chomsky specifically shows how the United States has created reliance on cheap labor throughout the decades and how American presence has made Latin American workers dependent on migration. On a larger scale, the book shows that global economies
ABSTRACT: This essay explores my own situation of teaching philosophy in a more or less traditional undergraduate setting but in a way that is especially relevant to the theme of this Congress, namely, the theme of "philosophy educating humanity." In my case, I teach philosophy but from a perspective that is non-traditional and which undercuts the standard questions originating from and orienting around a "philosophia perennia." Specifically, I teach philosophy of religion from the perspective of Jewish philosophy, and even more specifically, from the perspective of the French Jewish philosophy of Emmanuelle Levinas. Moreover, I teach philosophy in an educational environment that is representative of the greater global community because I teach at the University of Texas at El Paso, situated on the border that separates the United States and Latin America. Finally, my teaching situation is one that is further marginalized because of the precarious nature of my academic position, namely, trained outside the traditional borders of philosophical faculty and working at first as a part-timer and only recently as a full-time, non-tenure track teacher of philosophy and humanities. Hence, I offer my experience of doing work of successfully teaching philosophy "on the borders" in the hope that others gathered here will be challenged to think differently about their own way of educating others.
In his address to a joint session of Congress on January 8, 1918, President Woodrow Wilson declared freedom of the seas in times of peace and war. Looking back, it seems ridiculous to think that anyone could challenge the right of individuals to navigate the oceans freely. However, fast-forward to the twenty-first century and we can see an analogous debate over the issue of immigration rights, with territorial borders being the main topic of discussion. The system of immigration in the United States is complex and oftentimes restrictive, and while revisions to the system usually include increasing quotas or other solutions to let in certain groups of people who deserve special consideration (such as those whose skills are needed in a particular field), they are still very limited solutions. The obvious question that arises from letting in some people but not others is that of fairness. Is the accident of birth or luck of being in the right place at the right time enough to justify restrictive citizenship to a select few? I would argue not. I intend to argue that a commitment to human rights entails the position that borders ought to be open in order to guarantee other human rights, especially the right to migrate.
Most of the jobs that the illegal workers do are consider dirty to the Americans, an example would be the agricultural sector. The Pew Hispanic Trust provides analysis to prove that most illegals in the United State are employed in agriculture of all types. The analysis also shows that the largest number of unauthorized immigrant workers are found in most 39 states, especially the District of Columbia where large number of illegal immigrants are involve in agronomy. The large amount of illegals working as farmers have helped reduce the cost of food and anything related has reducedImmigration is a growing topic in the United States with the more pressing issue illegal immigration. The term immigration is defined as the movement of people to
on the entire left side of the triangle (column 3) to represent n things going into groups of 0. There is only one way to do this, so every cell with a blank box can be said to have one item in it. I am using a box because it does not have a specific “value” but it is more of a holding place for new elements. In cell (B, 4), I placed an “a” because this represe...
The idea of infinity has been around for thousands of years. It it impossible to even
Present day zero is quite different from its previous forms. Many concepts have been passed down, and many have been forgotten. Zero is the only number that is neither positive of negative. It has no effect on any quantity. Zero is a number lower than one. It is considered an item that is empty. There are two common uses of zero: 1. an empty place indicator in a number system, 2. the number itself, zero. Zero exist everywhere; although it took many civilizations to establish it.
in exponential form. For instance, in a base 2 system, 4 can be written as 2