CALCULUS 3 (LAGRANGE MULTIPLIERS) Essay Example | Topics and Well Written Essays - 500 words

CALCULUS 3 (LAGRANGE MULTIPLIERS) - Essay Example It is possible to find the minima or maxima of a given function f of several variables given that the variables have restrictions. Langrage multipliers help us minimize or maximize functions with constraints that are points on a definite surface (Stewart, 67). Finding critical points of a function f (w, x, y) on a level surface or subject to the constraint g (w, x, y) = M. Solving this problem requires a solving the following series of simultaneous equations. ÃŽ » is a dummy variable known as a langrage multiplier. The most important variable in the equation are w, x, and y. After solving for the critical values, you insert them into the function to find the maxima and the minima. The critical points where the function is greatest are maxima while where it is smallest are minima (Stewart, 72). Solving the system equations can be a difficult task. In order to solve for the critical points in an easier way, one should consider the following tricks; Solve for ÃŽ » in terms of the variables w, x, and y to eliminate it from the equations. Solve any of the variables in terms of the other variables. Consider both the positive and negative square roots whenever using a square root (Courant,

Describe a situation in which you combined analysis and creativity to Personal Statement

Describe a situation in which you combined analysis and creativity to solve a challenging problem - Personal Statement Example A major factor in the retail industry is the influence by policy published by Chinese government that takes the anti-corruption campaign against gift-giving culture. Men luxury, jewelry will definitely be affected by the policy. This year, I come back to China to find out the many new stores of famous brands in the Chinese market that have been closed and its sales have reduced from about 150 in 2012 to about 100 in 2013. Meanwhile, the decrease rate is one-third and I think it is very puzzling and challenging to figure out the real reasons of this phenomenon. It is said that Chinas luxury market has grown rapidly from the enclosure stage to the development of sustained attention to the customer experience and comparable store sales stage. I want to establish the reason because I feel very interested in this situation and want to research the reasons for this problem. In this regard, I plan to apply the theoretical and practical knowledge to study this problem. It is not easy to learn all the pictures of all the problems faced by stores of famous brands. Therefore, I run to many stores that sell the famous brand clothing and learn this price in China since I am a Chinese and want to study Strategic design a nd management. It is easy and creative for me to know some situations, sales, and styles by communicating with sellers. Usually, it is thought that the price is the most important reason to explain the reduction and decrease of the sales for luxury clothing. However, only the price in China is higher than the clothing with same style, but also the types of styles are rich. This probably explains the phenomenon that many Chinese customers want to buy luxury clothing in foreign countries instead of China. Meanwhile, from my own research I established that the main method is to search for information from the internet and library in the university to establish the reasons behind this whole scenario. Essentially, 73% of

What are the Main Differences Between Liberal and Radical Feminism Article

What are the Main Differences Between Liberal and Radical Feminism - Article Example According to Margaret Jackson (1995), the progress of the feminist activism and struggle started by a series of organized campaign in the British Victorian and Edwardian periods in regard to marriage, spinsterhood, and the sexual double standard. (p. 3) From then on, it has gathered steam, propelled by women activism as seen in literature, cultural and political campaigns advancing feminist engagement. However, as mentioned elsewhere in this paper, its history is fragmented, making it difficult to pinpoint its specific history or cultural tradition. All in all, the history of feminism is contingent on other political issues and social changes. As a political ideology, it has been made by women through different campaigns and moral surges, hence, its objectives and ethos varies through time. This dimension is highlighted by the fact that contemporary feminism has found expression in two principal forms: liberal feminism and radical feminism. Liberal Feminism The liberal feminism has been largely seen as positive social movement that only seeks gender equality in social political and economic roles and opportunities. It primarily seeks to bring women into the fold - fully participating in the mainstream society, exercising full privileges and responsibilities of citizenship in genuinely equal partnership with men. Since the 1700s, the liberal feminists have been important advocates vigorously campaigning for women's education and campaigning for equality of access and provision. As years passed, this advocacy extended its focus on individual rights, education, political and religious freedom, individual choice, and self-determination. Feminism has addressed gender inequalities through... This paper explores that feminism may have existed in the ancient times such as in Egypt and Greece, the concept as we of it today traces its roots from the struggle for female sexual autonomy as conceptualized in the nineteenth and early twentieth-century feminists in terms of emancipation of women from sex slavery. This essay stresses that the liberal feminism has been largely seen as positive social movement that only seeks gender equality in social political and economic roles and opportunities. It primarily seeks to bring women into the fold – fully participating in the mainstream society, exercising full privileges and responsibilities of citizenship in genuinely equal partnership with men. Since the 1700s, the liberal feminists have been important advocates vigorously campaigning for women’s education and campaigning for equality of access and provision. As years passed, this advocacy extended its focus on individual rights, education, political and religious freedom, individual choice, and self-determination. Feminism has addressed gender inequalities through their efforts and campaigns for inclusion within civil rights legislation, access to education, and equal opportunity. This feminist school’s main argument is that women are as rational as men. Liberal feminism h as, over the years, campaigned and achieved equal access to education and profession, property rights, suffrage, and all other rights enjoyed by men.

Describe a situation in which you combined analysis and creativity to Personal Statement

Describe a situation in which you combined analysis and creativity to solve a challenging problem - Personal Statement Example A major factor in the retail industry is the influence by policy published by Chinese government that takes the anti-corruption campaign against gift-giving culture. Men luxury, jewelry will definitely be affected by the policy. This year, I come back to China to find out the many new stores of famous brands in the Chinese market that have been closed and its sales have reduced from about 150 in 2012 to about 100 in 2013. Meanwhile, the decrease rate is one-third and I think it is very puzzling and challenging to figure out the real reasons of this phenomenon. It is said that Chinas luxury market has grown rapidly from the enclosure stage to the development of sustained attention to the customer experience and comparable store sales stage. I want to establish the reason because I feel very interested in this situation and want to research the reasons for this problem. In this regard, I plan to apply the theoretical and practical knowledge to study this problem. It is not easy to learn all the pictures of all the problems faced by stores of famous brands. Therefore, I run to many stores that sell the famous brand clothing and learn this price in China since I am a Chinese and want to study Strategic design a nd management. It is easy and creative for me to know some situations, sales, and styles by communicating with sellers. Usually, it is thought that the price is the most important reason to explain the reduction and decrease of the sales for luxury clothing. However, only the price in China is higher than the clothing with same style, but also the types of styles are rich. This probably explains the phenomenon that many Chinese customers want to buy luxury clothing in foreign countries instead of China. Meanwhile, from my own research I established that the main method is to search for information from the internet and library in the university to establish the reasons behind this whole scenario. Essentially, 73% of

Racism in Finding Forrester Essay Example | Topics and Well Written Essays - 1000 words

Racism in Finding Forrester - Essay Example Finding Forrester" has elements of class, race, ethnicity and stereotyping and even gender inequality that are featured invariably in the various threads of the story as the director, Gus Van Sant would relate the 2000 movie. The film tries to reproduce what obtains in society in as close to reality as possible. Starting with sociological perspectives, this paper gives a synopsis of the film, progresses on to the story in selective perception mode and picks on incidents of the story featuring these sociological terms with an insight of what happened.In a gritty New York neighborhood, a shadowy but perpetually unseen figure appears behind thin curtains. Rumors abound regarding The Window's identity and story, prompting African-American Jamal Wallace to accept a dare to infiltrate The Window's apartment and bring something out. Jamal is a 16-year-old scholar-athlete and aspiring writer in inner-city Manhattan. When he's not writing in his journal in his bedroom, Jamal and his boys woul d play basketball on a local Bronx street court. They note that they're being observed by someone with binoculars in a nearby apartment building.As Jamal enters the apartment, he is caught in the act and accidentally leaves behind his backpack, which contains his journals. The Scottish reclusive genius writes comments in the notebooks, and drops the backpack through a window.Jamal returns for more lessons. His efforts lead him to get tutored by The Window, with Jamal agreeing not to reveal his whereabouts. The tutor turns out to be a Pulitzer Prize-winning classic novelist, William Forrester, who wrote "the Great 20th Century Novel," Avalon Landing, and had been reclusive for four decades. Forrester is a male Caucasian in his mid seventies. Sociological perspectives Blacks like Jamal are considered inferior by some theorists as a result of flawed genetic traits (Eitzen and Zinn 2004). In The Bell Curve work of Herrnstein and Murray (1994), Blacks are said to be mentally inferior to Whites. Such genetic inferiority, according to Gould (1994) cannot be changed by environmental changes. These theories bordering on biological deficiency, generally are not accepted in the scientific community (Eitzen and Zinn 2004). Media, however, just like films, continue to give attention to the thinking of these theorists. The Movie Race is a huge issue in the film and many stereotypes are made. Jamal Wallace is introduced in the film as a typical Black teenage male who goes to a low class school in the Bronx and really excels on the court as a basketball player. He is looked upon as an amazing Black as though unexpected because of his color. One proof of this is that the teacher (April Grace) calls Jamal's mother in to school, to inform her of her child's amazing abilities. Jamal is also looked at as given to playing or to pleasure because of his class. Although he had wanted to realize his writing ability, the exclusive New York school that had offered him a scholarship, is actually more interested in having Jamal play basketball to improve their school image. He soon learns that after losing several players to graduation, the school is looking to restock the basketball team. In fact, Jamal gets transferred there as a junior, presumably to have him educated. A Black, Jamal is seen to fit in their objectives as Blacks are of a class, easily pliable and more oriented to playing than studying. Or so the prep school thought. Jamal has been characterized also as an underachiever in class. This plot point caters to the stereotype that Black students get bad grades. This is different from the view that Jamal may want to get bad grades to fit in with his bad-grade-getting peers. This is probable and is more of peer pressure among the young which can be found in whatever race. The first view, however, which appears truer as far as the story is concerned, is stereotyping while the second view is non-racial. The first view which

Games to Life Essay Example for Free

Games to Life Essay Pong, Super Mario Bros. , and Pac-Man are a couple classic games most everyone has played. These games were some of the first video games ever made and had very little to no violence in them. These video games have now evolved into more graphic, gory, and violent games. This increased violence in video games has caused more aggression in society. On April 20th, 1999 at Columbine High School in Colorado a shooting occurred killing 12 students, 1 teacher and also injured 24 other students. Two students were the cause of this shooting. The two seniors played video games religiously and were big fans of a game named Doom. Doom is a game where players is a space marine who must fight his way through hordes of invading demons from Hell. The two shooters liked and played this game so much that even designed their own based off of it. Eric and Dylan’s, the two shooters, game was created based on the Columbine High School’s floor plan. Their game contained characters based off student at their school whom they did not like. When students, in their game, that believed in God would die they would say â€Å"My Lord, why did you do this to me? † which is what Eric and Dylan believed they would say as they would kill them. When a newer game called Duke Nukem came out, a similar game to Doom, Eric and Dylan were quick to design another levels based on Columbine High School. In this game they had more realistic guns and bombs, which the shooters liked. They also mapped out how they would invade the school and whom they would target in these levels they created. Through both these games, that Eric and Dylan loved to play, inspired them to create there own games using their school as a layout and students as the characters. They planned out how they would approach their shooting and where they would place their bombs based on what they did in their games. They knew whom they would kill first and where they would be. They also placed bombs around the school as they would in the game that thankfully did not go off. Video games have become a big part of our culture in today’s society. When video games first came out they were simple, friendly, and non-violent. Since then video games have become more sophisticated, completive, and especially more violent. Eric and Dylan’s shooting on their school was an act of aggression supported from the violent videos games they played.

Medulla Oblongata: Function and Location

Medulla Oblongata: Function and Location Medulla oblongata The medulla oblongata is a very interesting part of the brain. This very small section of the brain stem has a very large amount of responsibility in the human body. Studies concerning this section help in the understanding of many basic biological functions of the body. Some of the actions are ones that we dont even notice are happening on a day-to-day basis but are very important to human life. The medulla oblongata has many different connections with other areas of the brain, plays a key role in several functions of the body, has neurotransmitters that are involved in the functioning of this area, has diseases that can greatly affect its roles in the body. The medulla oblongata has many connections to other areas of the brain. The medulla oblongata is the most inferior portion of the brainstem and is about three centimeters long. It slightly bulges out of the brain stem. It is located in between the pons and the spinal cord. The axons that carry sensory information to and motor instructions from the higher brain regions pass through the brainstem. It creates tracts that allow communication to pass through from certain sides of the brain. These tracts house fibers that cross each other in pyramidal region of the medulla oblongata allowing the brain to communicate with the opposite of the body. Vital nuclei located in the gray matter of the medulla oblongata are used for cranial nerves. The medulla oblongata has many different functions in the body. These functions are being performed at all hours of the day, many of them without contribution from other sections of the brain. One main function is relaying signals between the brain and the spinal cord. The medulla helps with coordinating very large body movements liking jogging or climbing. The medulla houses portions of the brain that control what is considered automatic homeostatic functions as well as some primitive organs (Campbell and Reece 2008). The cardiac portion constantly sends inhibitory impulses to the heart to tell it to slow down. This portion also sends acceleratory impulses through the spinal nerves to make the heart beat faster whenever it may be necessary. The vasomotor portion sends impulses via spinal nerves through the spinal cord to muscles walls around arteries causing them to constrict. This constriction of arteries will cause blood pressure to rise. The respiratory portion houses respiratory nuclei that control the depth and rate of breathing. The medulla oblongata also plays a role in reflex responses. The capability to respond quickly to a stimulus can be very important when there is a need to survive. Reflex responses include swallowing, sneezing, vomiting, coughing, and digestion. A lot of these functions are involuntary or start off voluntary and then transform in to involuntary functions. The activity of the medulla oblongata rely on axons that reach many areas of the cerebral cortex and the cerebellum, releasing neurotransmitters such as norepinephrine, dopamine, serotonin, and acetylcholine. When under stress, norepinephrine relays messages to the brain that control reflex reactions and ability to pay attention. Like epinephrine, norepinephrine also triggers the fight-or-flight response. The fight-or-flight response is directly related to heart rate. It causes glucose from energy being stored to be released and blood flow to increase to muscles that enable the body to react as necessary. Norepinephrine raises blood pressure when used as a drug. This raise in blood pressure causes a correlated drop in heart rate. Dopamine, another neurotransmitter in the brain, opens dopamine receptors also affecting blood pressure and heart rate. Serotonin is a neurotransmitter that deals with mood. Excessive aggressive, sadness, or jealousy is linked to the medulla oblongata. Acetylcholine is used in the motor division and cross over in the medulla oblongata. It is involved in muscle movement, autonomic body functions, and excitatory reactions. Many diseases and disorders affect the medulla oblongata. One disorder is a very rare and often fatal medullar abscess (Wait 2009). A medullar abscess is viewed as a condition of rapidly progressive multiple cranial nerve palsies and decreased level of consciousness (Wait 2009). Multiple system atrophy is a neurological disorder that degenerates nerves cells located in areas of the brain including the medulla oblongata. This disease can cause the loss of control of autonomic functions such as bladder control, movement, and coordination (Benarroch 1997). Damage to the medulla oblongata can cause several functions of the body to be thrown off and even death. Because cranial nerves run through this section of the brain injury there can cause several sensory problems. For instance, injury can cause numbness or paralysis of the palate and throat causing drooling and a lack of taste. This numbness can also obviously cause problems with speech. It can also cause gagging, inability to rotate the neck, and acid reflux. Surprisingly if a person suffers from brain damage their body can still function if the medulla oblongata is not damaged. However, damage to the medulla oblongata can cause the need for a breathing machine or other life support equipment. If the medulla oblongata is damaged sometimes the brain and body can recover and no longer need the use of a life support machine, but often the body cannot recover and a person is considered to be brain dead. In this stage, the removal of a life support machine will mean a persons body will no longer function and that person will die. A great assortment of medications and drugs can also alter the state of the medulla oblongata. Overdoses usually result in death because the medulla oblongata cannot carry out its functions under that amount of a specific drug. Opiates, coma, and hypothermia can affect the medulla oblongata in ways that cause the body to exude physical conditions comparable to death. Anesthesia is able to function as it does because its chemical components cause the medulla oblongata to decrease its autonomic functions. References Benarroch E, Smithson I. 1997. Distribution and relationships of neuropeptide y and NADPH-Ddiaphorase in human ventrolateral medulla oblongata. J Auto Nerv Sys. 62(3): 143-146. Hashimoto M, Hatasa M, Shinoda S. 1992. Medulla oblongata germinoma in association with Klinefelter syndrome. Surg Neur. 37(5): 384-387. Wait S, Beres E, Nakaji P. 2009. Bacterial abscess of the medulla oblongata. J Clin Neur. 16(8): 1082-1084. Campbell A, Reece J. 2008. Biology. 8th ed. San Francisco (CA): Benjamin Cummings. 1245.