Abstract
The paper outlines the general properties and considerations involved in the functions of bounded and generalized bounded variation. The paper then discusses the Fourier series and provides examples where some of the Fourier properties can be best seen.

Outline:
Introduction
Functions of Bounded and Generalized Bounded Variation - Considerations
General Properties of Functions of Generalized Bounded Variation
Fourier series

From the Paper
"As such, a function of bounded variation should be the first notion before touching on functions of generalized bounded variation and, subsequently, their connection to the Fourier series. The function of bounded variation, as defined on a set E if sup F (bi) - F (ai) < , where "the supremum is taken over all sequences {[ai, bi]} of nonoverlapping intervals with endpoints in E" . In less mathematical terms, a function is of bounded variation if its total variation is finite over a certain interval for its variables.
"Moving this over an interval from 0 to 2 , described as [0, 2 ] and characteristic of Fourier series, then a function f of bounded p-variation on [0, 2 ], where p<=1, and to belong to the class Vp if Vp (f) = sup { f (Ii)) p }1/p < , where sup is the supremum over all nonoverlapping subintervals of [0, 2 ].
"With L.C. Young, the concept was generalized with the introduction of a continuous function defined on the interval [0; ) and strictly increasing from 0 to . Young proposed that "the -variation of a function f on [0,2] is the supremum V (f) of the sums f (Ii))."

Tags:subset, integers, sine, cosine

Abstract
This paper examines how one or more meanings of "bound" can be applied to the play "PROMETHEUS BOUND" by Aeschylus.

From the Paper
"The title of the play Prometheus Bound is a boldly provocative poetic gesture indicating that the action is laden with multiple resonances with multiple meanings for the word bound pointing toward converging and conflicting ideas about human experience. The purpose of this research is to examine ways in which the word bound which has several meanings resonates thematically in the action of Aeschylus's Prometheus Bound. The plan of the research will be to set forth multiple meanings of bound and then to discuss ways in which ..."

Tags:bound, ambiguity, moral, universe, cosmos, Aeschylus, Prometheus

Abstract
This memo describes a marketing budget solution for the Outward Bound case that includes a combination of alumni marketing, telemarketing, and direct sales as well as development of a web site. The paper has two exhibits.

From the Paper
"Our marketing budget is and with that money we need to maintain school leadership and build our off-season business in addition to promoting our programs. Because both of our objectives relate to the fact that our students only attend in the summer we need to direct our efforts to maintaining profitability during the off-season. To accomplish these goals I recommend operating the school year-round. The youth only attend ..."

Tags:case, Outward Bound, school, marketing budget, computer, web site, recruitment, alumni, telemarketing, memo, exhibits

Abstract
This paper presents two film essays. The first reviews the 1938 classic screwball comedy, "Bringing Up Baby." It looks at director Howard Hawks' ability to draw hidden comedic talents and skills from his cast. The second paper is a personal reaction to the 1996 film "Bound" with respect to the Hays Motion Picture Code, looking at issues of extreme violence, profanity, nudity and sex.

From the Paper
"Bringing Up Baby was directed by Howard Hawks and released in ..."

Tags:Film, Bound, Bringing Up Baby, Hays Motion Picture Code

Abstract
The writer of this paper clearly describes American life in the 1950s as vividly detailed in Elaine Tyler May's novel "Homeward Bound." In order to reveal the roots of the 1950s family, May discusses intimate relationships in a sociological setting during the depression years. The author's novel also clarifies the structure of the 1950s marriage with its emphasis on both self-sacrifice and togetherness. This paper describes the content of each chapter in May's novel. In chapter 3, "War and Peace Fanning the Home Fires" women's roles continued to grow, as their labor was required to build the machinery that would win World War II. While chapters six and seven, "Baby Boom and Birth Control" and "The Commodity Gap" tell of the changing values during the 1950s. This paper also discusses the author's various methodologies to explain the restructuring of the family that followed the depression and WWII.

From the Paper
"In order to reveal the roots of the 1950's family, May discusses intimate relationships in a sociological setting during the Depression years. In Chapter 3, Hard Times at Home, The Depression years, according to May's statistics, this period had both the lowest marriage and birth rate of any other period of time during the Twentieth Century. May submits that the depression of the economy caused many young couples of that time to delay marriage and children because of financial insecurity. She also notes that women's roles at that time were very unlike those touted in the 1950's. She maintains that couples who chose to wed at that time expected a relatively equal marriage with both the husband and wife helping to support the family economically."

Tags:review, litertaure, history, cold, war, world, war, 2, american, u.s., women, family

Abstract
This book reviews and analyzes the book 'Metes and Bounds'. According to the paper, this book is a dramatic and only one of its kind story from the finalist of Lambda Literary Award - Jay Quinn. The paper goes on to discuss how the novel explores the emotional and sexual challenges of and an 18 year surfer from the state of North Carolina.

Outline:
Introduction
Analysis of the Book

From the Paper
"His self-realization of learning who he was through his own shoes and not by walking around in someone else's shoes was a profound piece of writing. What helped him get to this point and form a closer bond with his uncle was founding out the main reason why the family was resentful towards Tiger. He learned a lot more about himself through analyzing Tiger's relationship with Mark. Tiger taught him the overall challenges one has to face in nurturing and feasting a relationship with certain situations. This further helps him establish an affectionate relationship with his old friend when he discovers the secret crush he had had on Matt after their reunion. "

Tags:gay, phenomenon, bisexual, Tiger, Mark, boyfriend

Abstract
This paper identifies the "Moment of Revelation" or the "Reversal and Recognition" in each of these plays and discusses what they imply about the relationship between fate and free will in the Greek mind. This paper provides a summary of the Greek plays, "Oedipus Rex" and "Prometheus Bound" to identify these specific moments, followed by a discussion of what they imply about the relationship between fate and free will in the Greek mind. A summary of the research is provided in the concluding paragraph.

From the Paper
"The debate over whether mankind is possessed of free will that allows for individual decisions in the "Great Scheme of Things," or the view that humanity is merely "puppets on a god-string" has been the source of much controversy over the millennia. The ancient Greeks explored some serious thoughts about the concept of humanity's free will in the face of what must be considered destiny, and the tragic moral dilemmas that resulted in their plays concerning mankind's encounters with a preordained divine wall provided them with both a source of entertainment as well as some perplexing moral questions that provide some insights into how people have come to view these issues today."

Tags:greek, jocasta, plays, sophocles, tragedy

Abstract
This paper is an analysis of "Prometheus Bound", expounding the knowledge of the characters in the ancient play. The author explores the symbolism and shows the relationship between the play and the author's time period.

From the Paper
"Prometheus and Epimetheus, together, represent those qualities that are essential for all of us if we are to observe and judge our behavior. Living life creatively requires both of these perceptions- both looking ahead and looking back. They are ways of knowing the world and ourselves. Prometheus stands up to the wrath of Zeus and accepts his punishment. He controls his own destiny in the sense that, knowing the punishment to come, he does not refuse the task at hand. We too, control our own destinies in this way. Either we can see opportunity as a risk, and therefore refuse it, or we can welcome the challenge of growth, even though it will bring changes that involve decision making or commitment. Prometheus does what he thinks is in the interest of humankind, regardless of the cost in personal suffering. In our own lives, what is sometimes a fearful journey can disclose a discovery, if we are willing to tackle the situation or problem directly."

Tags:epimetheus, zeus, ocean, aeschylus, play, greek, ancient, hea, fire, hephaestus, io, shelley, percy, bysshe, titan

Abstract
This paper discusses the book "Homeward Bound: American Families in the Cold War Era" by Elaine Tyler May who used contemporary magazines, journals, and films as some of her research material to present a picture of family life in America during the Cold War and the way it shaped the nation. The author points out that this was the period of reproduce, which created the "baby boom", an entire generation of children who never had to want for anything. The author explains that any kind of sexual deviancy was taboo; in fact, many believed sexual deviation was the road to Communism and distrust.

From the Paper
"One of the important points she uses in the book is how suburbia grew up during this time in our history, and suburbia almost exclusively consisted of a white, middle-class population. Racial lines were drawn during the Cold War, and race was still a very important issue for most Americans. As she notes in her Introduction, "People of color were excluded from these suburban communities, and denied the benefits of American prosperity even if they could afford them" (May xix). May clearly shows how the Civil Rights movement of the 1950s and 60s was created out of the white suburban middle-class of the 1950s. As blacks were excluded from owning property and attending schools in the middle-class suburbs, their unrest grew, and they began to fight back for their equality. The author goes on to state, "So while white working class Americans prospered and joined their middle-class peers as suburban homeowners, African-Americans lost ground economically. They were forced to reside in substandard urban housing, left out of postwar prosperity, and denied the government subsidies available to whites" (May xx). May continues later in the book to build on this premise that blacks were barred from the "good life" in their exclusion from mortgages in the white suburbs. As whites grew more prosperous, blacks continued to live in the inner city and continually were kept from creating their own American dreams."

Tags:communism, suburb, baby-boom, sex, rights

Abstract
This paper suggests how Aeschylus, author of "Prometheus Bound", uses metaphors to make a number of suggestions about the ideas of tyranny, freedom, and prophecy.

From the Paper
"A tragedy like Aeschylus' Prometheus Bound is ripe with metaphors that contribute to the significance of the work as one that has stood the test of time. Aristotle wrote in the Politics that man is, by nature, a political animal. If we accept this to be true, it is no surprise that Prometheus Bound continues to be a relevant tragedy in the 21st century as the most significant metaphor in the final scene, and truly, the entire work is the character of Prometheus himself. Prometheus is the representation of one who suffers unjustly under the harsh reign of a tyrant, yet still remains free (from a certain point of view)."

Tags:drama, english, greek, freedom, prophecy