Notes

The unit for electrical energy is the joule.   In order to calculate electrical energy, you need to know how much power is being used and for how long that power is used for.  The electrical unit for power is the watt.  The formula calculating electrical energy then is the following formula. Electrical energy = Power x Time Electrical energy is expressed in joules, power is expressed in watts, and time is expressed in seconds.   For example, if a 100 watt light bulb is turned on for one hour (3600 seconds), you can use the above formula to calculate how many joules of energy are being used.   Energy = 100 watts x 3600 seconds Energy = 360,000 joules As you can see, the numbers will get big very quickly.  That's why some power companies will express electrical energy consumption in kilojoules.  The above number would then be 360 kilojoules.   Power companies generally go even one step further to calculate electrical energy.  A joule or kilojoule is still a relatively small amount, s...

The answer to this question is not straightforward, because every staging of the play is different. Some productions are quite spare and minimalistic, using only a bare stage and a small collection of hand props, relying on the words of the play, and sometimes creative lighting and costume, to evoke atmosphere, while other productions are more lush, using set design as an integral element.  The scenes set in the forest are often staged with limited scenery; often just lighting creates the effect of sunlight through leaves and perhaps a backdrop of trees. The purple flower and potion can be mimed or used as small hand props. The scene that is often most elaborately staged is the final wedding, as it has the most inherent possibility for elaborate costumes and spectacle. For movement, many directors imagine the fairy world as one that is choreographed and contains dance-like elements. Puck's character is often performed in an acrobatic style and the fairy characters distinguished fro...

The Law of Conservation of Mass states that mass is neither created nor destroyed in a chemical reaction or a physical transformation. Hence, a short answer to the question is -  yes , mass is conserved whether matter undergoes a chemical change or a physical change. Physical changes are changes that involve a simply change in phase. Condensing of a gas is an example. Any change that does not involve a change in chemical composition is physical change. Tearing up paper does not change the chemical composition of the paper, but merely changes the size of the paper. In both examples, there is no change in identity of the atoms involved, or even the general chemical composition of the paper. If it were possible to look at and track the individual molecules in the paper before and after the change, then it will be possible to see that the number of molecules did not change.  It is less intuitive for chemical changes. Chemical changes involve a reaction a change in chemical composition. For...

In this post, you are asking two questions, I will answer the first question and then will briefly address the other question. The Articles of Confederation was the name of our first plan of government. It had some successes and many weaknesses. It is important to remember that this plan of government was designed to be a weak plan of government. The Articles of Confederation allowed the United States to start functioning as a country. It was also designed to prevent any person or group from having too much power. We fought for our independence, in part, because we thought the King of England abused his power. The government created by the Articles of Confederation developed an orderly plan to sell western land. The Land Ordinance of 1785 created townships that were divided into squares. People could buy land in these squares. This was an excellent way for the government to raise money. This law was one of the successes of the Articles of Confederation. The government also developed an...

Just to be clear: the resistors in segment A-B are 8 ohm and 3 ohm, while those in segment CD are 12 ohm and 6 ohm.  We can use the concepts of series and parallel circuits to solve the problem. Let us assume that the current is I1 and I2 in segments A-B and C-D, respectively. For the circuit involving battery and segment A-B, we can write, -4 + 8 I1 + 3 I1 = 0 Solving this equation, we get, I1 = 4/11 A Similarly, for circuit involving battery and segment C-D, we can write, -4 + 12 I2 + 6 I2 = 0 Solving this equation, we get I2 = 4/18 A In a series circuit (such as in the segment C-D), the same current flows through each resistor, thus the current flowing through the 6 ohm resistor is 4/18 A or 0.22 A. The potential difference across the 12 ohm resistor can be calculated as the product of current and resistance, that is Potential difference = 12 I2 = 2.67 V.

Federalism was based on the idea that a concentration of power in a central government would lead to tyranny. This was because political power, when exercised locally, was subject, and therefore more responsive, to the will of the people. For this reason, many Americans in the 1780s were wary of ceding too much power to a central government, preferring to invest state governments with the powers of taxation in particular. Yet many Americans were also convinced that the decentralized government created by the Articles of Confederation was insufficient to meet the needs, especially the fiscal needs, of the nation. Federalism was seen as a compromise. It created a supreme central government which could exercise some exclusive powers, like coining money and waging war. Yet state governments also had some powers, which included taxation, held concurrently with the national, or federal government. Some powers, like licensing and supervising elections, were even held exclusively by the states...

In economics, a consumer surplus represents the difference between what a customer is willing to pay for a product and the actual price of the product itself. Consumer surplus is based on what is called the law of diminishing marginal utility. In economics, marginal utility refers to the enjoyment or pleasure a customer gets from consuming one more unit of a product. So, the highest utility is measured during the consumption of the first unit. As each succeeding unit is consumed, the pleasure the customer receives from the product diminishes. For example, the first slice of pizza a hungry customer consumes is bound to register highly on the utility scale. The customer is hungry, and the savory offering is thoroughly satisfying. On the second slice, the customer is still pretty happy. By the tenth slice, though, he may well be groaning in pain. The law of diminishing utility states that consumption of each succeeding unit of a product leads to diminished satisfaction. Similarly, consume...

Macbeth is killed by Macduff on the battlefield in front of Dunsinane in the last scene of the last act. Their sword fighting begins onstage and then is carried offstage. They reenter the stage still fighting, and " Macbeth is slain ." It would appear that Shakespeare did not want to show too much of the fighting onstage because there was always the danger that one of his principle actors would get hurt. Ordinarily, Macbeth would probably have won the swordfight. It has been demonstrated that he is a ferocious warrior capable of slaughtering dozens on the battlefield. But he is unnerved when Macduff tells him: Despair thy charm, And let the angel whom thou still hast served Tell thee, Macduff was from his mother's womb Untimely ripp'd.           V.7 Macduff replies: Accursed be that tongue that tells me so, For it hath cow'd my better part of man! Macbeth does not fight with his accustomed vigor. He is on the defensive. He had been counting on the assurances of th...

The stones and mortar were outside the niche in which Fortunato was chained. They were both concealed under a pile of human bones, as Montresor states. I busied myself among the pile of bones of which I have before spoken. Throwing them aside, I soon uncovered a quantity of building stone and mortar.  Montresor would have had to mix the mortar in a big trough using a shovel. He could have prepared this mortar ahead of time. It was kept moist because of the water constantly dripping on the pile of bones. Eventually he would probably have to come back to the scene of his crime and get rid of the trough and any leftover mortar. But he did not have to worry about the evidence because he assumed he was above suspicion, since he had made everyone believe that he and Fortunato were the best of friends. The stones must have been big and heavy. This is suggested when Montresor describes how he put the last stone in place. I had finished a portion of the last and the eleventh; there remained but...

Although the time period may be old, the themes in Macbeth are just as relevant today.   Shakespeare is still very popular today, as shown by the worldwide celebrations of the 400th anniversary of his birth and death. The reason Shakespeare's plays are so popular today is because they are written with engaging characters and memorable themes.  Macbeth is still one of Shakespeare’s most performed plays.  The play’s main themes focus on the importance of ambition and honor. These are timeless concepts. The audience watches two compelling characters, Macbeth and Lady Macbeth, descend into madness. They go from ruthless murderers to guilt-written paranoids.  Lady Macbeth is particularly intriguing. Before she desperately tries to get the spots off of her hands, she has lines like these: Come, you spirits That tend on mortal thoughts, unsex me here, And fill me from the crown to the toe top-full Of direst cruelty! make thick my blood; Stop up the access and passage to remorse, That no ...

The short story "A Mother in Mannville" follows the narrator as she meets a young man named Jerry who claims to be receiving gifts from his mother, who has gone away and left him at the orphanage. At the very end of the story, it is revealed that Jerry has been untruthful and has no mother at all.  The story is written in the first person, from the narrator's point of view. This allows the author, Marjorie Kinnan Rawlings, to seamlessly hide the fact that the audience never finds out who the narrator is. While the exact reason for not knowing the narrator's name is never explicitly stated within the story, there is a reason that can be inferred based on context. The reason the audience never finds out the narrator's name is simply because Rawlings wanted to let the reader experience the same thing the narrator experiences throughout the story. By not revealing the narrator's name, the reader can more easily put themselves in her shoes and feel the emotions rig...

In 1993, the single market became a reality for twelve member countries: Italy, Germany, Ireland, the United Kingdom, Portugal, Greece, Belgium, Denmark, France, Luxembourg, the Netherlands, and Spain. Generally, the elimination of trade barriers increased EU output after 1993. In Economics, output is defined as the total value of all the goods and services produced by a country's economy during a specified time period. As such, output measures the health of an economy. After the elimination of trade barriers in 1993, the free movement of goods and services led to significant growth in output. By 1999, the single-market EU grew from 12 million companies to 21 million companies. Trade between EU countries grew from between 800 billion Euro in 1992 to 2800 billion Euro in 2011. Similarly, trade between EU countries and the rest of the world grew from between 500 billion Euro in 1992 to 1500 billion Euro in 2011. GDP (Gross Domestic Product) is a measure of economic output: it is the ...

As part of his growing paranoia, Macbeth is concerned about Banquo's plans because Banquo has also heard the prophesy about Macbeth and may suspect him of regicide. Also, the witches told Banquo that his sons will be kings, and Macbeth wants to prevent this prophesy from being fulfilled by having him followed and killed. In Act III, Scene 1, Banquo arrives at the palace and speaks to himself about Macbeth. He remarks that the prophesy of the three "weird women" has come true for Macbeth: He is now king. But Banquo also recalls that the witches told him that he would sire many kings, not Macbeth. Just then, Banquo hears Macbeth approaching and he becomes silent. When Macbeth enters, he greets Banquo and asks him if he is traveling this day. Banquo replies that he is, but he will return in time to dine with the new king. As soon as Banquo departs, Macbeth orders an attendant to bring certain men before him. As he waits, Macbeth speaks to himself, saying to be king means not...

The poet takes up the poignant theme of the internment of the Japanese Americans in the US following Japan’s attack on Pearl Harbor. After the attack, thousands of Japanese Americans were relocated and kept in concentration camps. But the poem is not about the ordeals faced by them in the camps. Instead, it’s more about the spirit of courage and fortitude, and the significance of memory that offers support and solace to one’s mind during and after the period of acute crisis. The speaker is an ordinary, old Japanese American who is a gardener. In the majority of the poem, he recalls his past – the days before the “relocation,” the period of the internment, and the days that followed. Thus, most of the poem is set in the memory of the speaker.  He starts by remembering the good old days when he would plant bamboos “in ditches next to the fields.” He was a farmer, but his land “was no good.” It was rocky and dry. He says, ...and my land was never thick with rice, only the bamboo growing l...

Gathering Blue takes place in a post-apocalyptic society that has been rebuilt without technology. Because most citizens of the society are illiterate, the community preserves its history orally through a Ruin Song that tells an account of people from the beginning to the present. The Song is sung once per year by the Singer, who wears a ceremonial robe and holds a ceremonial staff. The robe and staff depict through embroidery and carving the events described in the Song. Kira has heard the song each year since she was a child, but she was not able to remember it all and couldn't pay attention to the whole song. One day Jamison speaks to her about one of the scenes on the robe that she has been repairing: a scene of skyscrapers toppling with bursts of flame and explosion behind them. Part of the song is intelligible, but another part that Jamison recites seems to contain nonsense words: "Ravaged all,/ Bogo tabal/ Timore toron/ totoo now gone." Jamison explains that those...

The "four factors of production" in classical economics are land and natural resources, labor, capital, and entrepreneurship. Like much of classical economics, this concept was actually developed in the midst of the early stages of the Industrial Revolution in England, and it forms a handy explanation for the development of industry there.  Britain was replete with the natural resources necessary for early industry. It had swift-moving streams to provide water power for early mills and transportation. It also had a large supply of coal in places like Wales that fired the engines of the industrial revolution. Great Britain also had far-reaching colonies that supplied natural resources, as well as the wealth to purchase cotton, for example, from the United States. As far as labor , Britain had a large class of farmers that were being driven from their lands by a process known as enclosure. This made it more difficult for small farmers to make a living, and made many of them in...

In chapter ten, Bernard walks into the Hatchery with Linda and John, the Director's long-lost "family." In Huxley's world, motherhood is not only frowned upon, but it is the most obscene word and phase of existence. No woman would ever discuss being a mother. Having lived for decades on a reservation, Linda doesn't care about who knows what happened to her. She enters the Hatchery and publically calls the Director out as follows: Of course I knew you; Tomakin, I should have know you anywhere, among a thousand. But perhaps you've forgotten me. Don't you remember? Don't you remember, Tomakin? Your Linda (150). Everyone in the room is in shock at the sight of Linda, just as Lenina was when she first saw her. Linda is fat and has wrinkles. She is disgusting to look at for people who have chemical treatments and makeup to look better and younger. The room is awkwardly silent as Linda's confidence dies down and the Director's voice demands to know th...

Getting Out  can be seen as a feminist play because of the movement from which it arises and its subject matter. Norman's drama was written in the late 1970s. During this time in American culture, the feminist movement emerged. This was reflected in the art of the time as the voices of women began to develop. Marsha Norman is a part of this movement. Her dramas focus on women's narratives. She places women at the forefront of her works. Arlene is the focus of  Getting Out . The audience sees reality through her eyes, and the way the world is processed is through her frame of reference. This is a feminist idea because, as the protagonist, Arlene subverts the patriarchal narrative structure. Arlene is not an ornament. She is the primary voice.  The way Arlene's experiences is shown is another example of how Norman's drama could be seen as a feminist work. Arlene tries to reconcile her past and present into a hopeful future. She seeks to overcome the problems she experienc...

In Shirley Jackson's 1948 short story, "Charles," the main character Laurie is proud of the fictional Charles's behavior.  Laurie invents the character of Charles on his first day of kindergarten. He comes home slamming the door, leaving his hat on the floor, and shouting. He spills his baby sister's milk at lunch and speaks disrespectfully to his father. When prompted, he tells his father he didn't learn "nothing" in school. Then he tells the tale of a boy being spanked for being fresh. In the quote below, one can see Laurie's enjoyment in telling the tales of Charles's insolent behavior at school.  "The next day Laurie remarked at lunch, as soon as he sat down, “Well, Charles was bad again today.” He grinned enormously and said, “Today Charles hit the teacher.”  The fact that he grins enormously while he tells of the heinous deeds shows that he is proud either of his actions, or of the deceptive tale he has weaved, or both.  The next i...

Firstly, Squealer only became significant as an instrument of propaganda for the pigs after the Rebellion when Mr. Jones and his men were ousted from the farm, whilst Pravda existed long before the February Revolution of 1917. The newspaper had already been established in 1903 when the Tsarist regime was still in power. Squealer only gained importance after Old Major's speech in the big barn, when the animals started preparations towards an overthrow. Secondly, the newspaper had originally been created as a journal which provided information on the arts, literature, and social life, a type of entertainment tabloid, whilst Squealer had no such function before or after the Rebellion. Although his purpose before the actual revolution was to motivate the animals in preparing for the rebellion, his sole directive, soon after the event, was to convince the other animals that the pigs were acting in their best interest, as is illustrated by his clever explanation for the pigs' exclus...

This is an interesting question because the majority of the conflicts are person vs. person or person vs. technology. One way to think about this is to consider Montag's human nature. He has been taught to suppress any "natural" curiosity about literature or critical thinking. Indeed, he is born with the ability to be curious and with the ability to read and think critically. But Beatty and other people in power have brainwashed him to suppress these abilities. So, in a sense, Montag is fighting against his own nature. Upon talking to Clarisse and Faber, he fights through this brainwashing and eventually gives in to his natural curiosity about literature and human thinking. In this case, thankfully, nature wins. For a more traditional notion of person vs. nature, consider Montag's race to freedom at the end of the book. He runs through people's yards in order to get to the river. He has to risk swimming through the river in order to escape the Mechanical Hound. He...

A simile is a figure of speech which uses like or as to compare two things which are basically different. In "Rules of the Game," an excerpt from her novel The Joy Luck Club , Amy Tan recounts the story of a young Chinese girl, daughter of immigrants, who becomes a chess prodigy. Throughout the narration she uses figures of speech such as metaphors, personification and similes. One example of a simile occurs when Waverly is explaining how she learned the strategies of chess after her brothers received a chess set for Christmas: "I learned about the middle game and why tactics between two adversaries are like clashing ideas; the one who plays better has the clearest plans for both attacking and getting out of traps." Here she compares the different ways of thinking which will occur between two opponents in a chess match. Another simile appears after Waverly has become embarrassed by her mother's behavior and has run away. Her anger and shame is at an intense leve...

Good question. There are two very different answers to this question. The first is that the deep structure of myths is built into the way we tell stories. Some scholars have argued it is built into our minds. We see things in events in terms of the hero's journey. We look for these narrative structures in our experiences, and use them to make sense of what we go through, or what we see others going through. In the movies, some of these structures and mythic elements occur naturally or without conscious intent. Other times, as in Star Wars , movie creators consciously use mythic structures to structure their films in ways that generate stronger emotional responses. The other reason myths and mythic creatures show up in films is more basic. Movie makers are always looking for new thrills, new threats, and new gimmicks. This includes looking for new monsters. Writers therefore pull creatures from myth systems around the world in search of novelty. Ancient monsters become the next new ...

To simplify the given complex fraction `(16/(x-2))/(4/(x+1)+6/x)` , we may look for the LCD or least common denominator. The denominators are `(x-2)` , `x` , and `(x+1)` . All are distinct factors. Thus, we get the LCD by getting the product of the distinct factors from denominator side of each term. `LCD =(x-2)*x* (x+1)` Maintain the factored form of the LCD for easier cancellation of common factors on each term. Multiply each term by the LCD=(x-2)*x* (x+1). `(16/(x-2)*(x-2)*x* (x+1))/(4/(x+1)*(x-2)*x* (x+1)+6/x*(x-2)*x* (x+1))` `(16*x* (x+1))/(4*(x-2)*x +6*(x-2)* (x+1))` Apply distributive property. `(16x*(x+1))/((4x-8)*x +(6x-12)* (x+1))` `(16x^2+16x)/((4x^2-8x) +(6x^2+6x-12x-12))` Combine possible like terms. `(16x^2+16x)/((4x^2-8x) +(6x^2-6x-12))` `(16x^2+16x)/(4x^2-8x+6x^2-6x-12)` `(16x^2+16x)/(10x^2-14x-12)` Factor out 2 from each side. `(2(8x^2+8x))/(2(5x^2-7x-6))` Cancel out common factor `2` . `(8x^2+8x)/(5x^2-7x-6)`  The complex fraction `(16/(x-2))/(4/(x+1)+6/x)` simplifies...

One inference that can be made from the ending of Gordimer's "Once Upon a Time" is that the parents recognize their mistakes. At the end of the story, Gordimer leaves the family's reactions unstated.  She does not delve into what the mother and father thought as they carried "the bleeding mass" of their son into the house.   One inference that can be made is that the parents realized their folly regarding all of their security measures.   Throughout the story, Gordimer describes the family as scared of the outside world. They enact security measures such as the gate, the wall, and the barbed wire thicket to keep the outside world away from them. However, when their child is destroyed by these measures, we can infer that the parents would reflect on their actions. They would have to rethink the world they have created. The desire to keep the family safe had the opposite consequence.  It endangered their boy, the love of their lives because as he crawls inside...

The short answer is that we learn either that (1) Gertrude had been prepared to accept Ophelia as her daughter-in-law; or (2) regardless of whether or not Gertrude had been accepting of this prospect, she was content to let the mourners at the burial believe it. We also learn that Gertrude either believed Ophelia to have died a virgin, or wished her listeners to think she believed Ophelia died a virgin. To understand the significance of these points, we need to take the context into account. Midway through the first scene of Act V, Hamlet is shocked to learn Ophelia is dead. While hanging out in the graveyard, he sees the procession of mourners, and overhears his mother, Gertrude, speak this farewell to the dead Ophelia: "Sweets to the sweet: farewell! (Scattering flowers) I hoped thou shouldst have been my Hamlet's wife; I thought thy bride-bed to have deck'd, sweet maid, And not have strew'd thy grave." Thus, Gertrude indicates her hopes that Ophelia had lived t...

Throughout Greece's history, it's geographical location has been a double-edged sword—a blessing as well as a curse. Greece's geography was particularly helpful in helping it obtain and maintain power thanks to its rugged topography and its easy access to the sea.  This prime location helped Athens become a power in the Ancient world. Thanks to the fact that it was protected on all sides from potential foes, Athens became the first advanced civilization in the West. Likewise, the access to the Mediterranean Sea allowed Greece's commerce to flourish. On the other hand, one of the difficulties that stemmed from Greece's location was the fact that it was on the tip of the Balkan Peninsula—a practically impassable area. Because of this, Greece was forced to rely solely on the Mediterranean Sea for communication and commerce, with few other options.

For the power series `sum_(n=0)^oo (2n)!(x/3)^n` , we may apply Ratio Test. In Ratio test , we determine the limit as: `lim_(n-gtoo)|a_(n+1)/a_n| = L` or `lim_(n-gtoo)|a_(n+1)*1/a_n| = L`  Then ,we follow the conditions: a) `L lt1` then the series converges absolutely. b) `Lgt1 ` then the series diverges . c) `L=1` or does not exist  then the test is inconclusive .The series may be divergent, conditionally convergent, or absolutely convergent. The given power series `sum_(n=0)^oo (2n)!(x/3)^n` has: `a_n =(2n)!(x/3)^n` Then, `1/a_n=1/((2n)!)(3/x)^n`       ` =1/((2n)!)(3^n/x^n)`       ` =3^n/((2n)!x^n)` `a_(n+1) =(2(n+1))!(x/3)^(n+1)`             ` = (2n+2)!x^(n+1)/3^(n+1)`             `= (2n+2)(2n+1)((2n)!) x^n*x/(3^n*3)`              `=((2n+2)(2n+1)((2n)!) * x^n*x)/(3^n*3)` Applying the Ratio test on the power series, we set-up the limit as: `lim_(n-gtoo) |((2n+2)(2n+1)((2n)!) * x^n*x)/(3^n*3)3^n/((2n)!x^n)|` Cancel out common factors: `x^n` , `(2n)!` , and `3^n` . `lim_(n-gtoo) |((2n...

Eliezer’s father got weaker, and he eventually fell ill while at the Buchenwald concentration camp. He suffered from a bout of dysentery until he succumbed from the effects of the disease and lack of treatment. Eliezer was not optimistic of his father’s survival because of the conditions in the camps. However, he did everything to keep his father comfortable. The reality that he was going to lose his father made him grow closer to him. Eliezer bribed his way into getting a cot next to his father because he wanted to be close to him. He always ensured that he stayed close to his father. He tried to get his father some medical attention, but his attempts were futile. Eliezer gave his father his ration of food, and he went hungry, all in attempts to buy his father more time. The Blockalteste noticed his predicament and tried to dissuade him from giving his food to his father. Eliezer continued to help his father despite the odds against him until he passed on.

The most obvious difference between the fates of the two protagonists is that George Washington Cable's "Tite Poulette" has a happy ending and Grace King's "The Little Convent Girl" has an unhappy ending. In writing your paper, you should focus on how the dynamics of race affect these endings. In the introductory expositions in both stories, the protagonists are identified as hybrid or liminal characters, poised somewhere between black and white; this hybridity is the major theme of the stories. Although Tite physically appears white in some ways, in other ways she appears an "octoroon," which is, in fact her legal category, although not her racial heritage, as we find out in the denouement.  In both cases the girls have black mothers and white fathers, something that was typical of "quadroons" of the period, as these were often children born out of sexual relationships (often non-consensual) between white masters and their slaves. In the...

In Chapter 100, the people of Chen Village are devastated when they discover that the four travelers have left. They use the food they have prepared for the travelers as sacrificial offerings, and from then on, yearly sacrifices are made in the Buddhas' honor. The travelers eventually come to the Watching For the Scriptures Tower and are met by Emperor Taizong. Delighted to see them, the Emperor bids the Tang priest and his three companions follow him back to the palace. At the palace, the Emperor invites the Tang priest to sit in the throne hall; Monkey, Pig, and Friar Sand unpack the scrolls, and the Emperor demands to know how many scriptures there are and how the scriptures were found. Sanzang (the Tang priest) answers that the Lord Buddha had originally given the travelers "blank, wordless versions" of the scriptures. In order to recover the real ones, the travelers had to hand over their "begging bowl of purple gold" to the two arhats, Ananda and Kasyapa. ...

Author Flannery O'Connor's life and beliefs heavily influenced her writing in "A Good Man is Hard to Find." O'Connor was a prominent Catholic writer and she openly acknowledged the significant role her beliefs played in her works. In her essay, "The Church and the Fiction Writer," the author explains that life for the Catholic author is viewed through a lens of the "central Christian mystery." She also believed that a writer's beliefs should lead to a broader world view rather than a narrower one. The influence of these predispositions can be found throughout "A Good Man is Hard to Find," which is arguably her most famous work. O'Connor's Personal Life O'Connor grew up in a Roman Catholic family in Savannah, Georgia before relocating to Milledgeville. The author's upbringing heavily influenced her works, most of which are set in the rural American South. "A Good Man is Hard to Find" takes place during a r...

Emerson's "Self-Reliance" celebrates originality and nonconformity. He was opposed to people imitating others and famously wrote: There is a time in every man's education when he arrives at the conviction that envy is ignorance; that imitation is suicide; that he must take himself for better, for worse, as his portion. Emerson believed that true genius lay in following one's unique instincts and proclivities and not in copying others.  Emerson also believed that Americans should not emulate Europeans but should instead cultivate what made them special. He wrote, It is for want of self-culture that the superstition of Travelling, whose idols are Italy, England, Egypt, retains its fascination for all educated Americans. They who made England, Italy, or Greece venerable in the imagination did so by sticking fast where they were, like an axis of the earth. In other words, Emerson believed Americans should not try to imitate Europeans, as Europeans became great by fost...

In using  Root test  on a series sum a_n, we determine the limit as: `lim_(n-gtoo) root(n)(|a_n|)= L` or `lim_(n-gtoo) |a_n|^(1/n)= L`  Then, we follow the conditions: a) `Llt1` then the series is  absolutely convergent . b) `Lgt1` then the series is  divergent . c) `L=1` or  does not exist   then the  test is inconclusive . The series may be divergent, conditionally convergent, or absolutely convergent. We may apply the  Root Test  to determine the convergence or divergence of the  series  `sum_(n=1)^oo (-1)^(n-1) *(3/2)^n/n^2` . `lim_(n-gtoo) |((-1)^(n-1) *(3/2)^n/n^2 )^(1/n)| =lim_(n-gtoo) |(-1)^((n-1)*1/n)(3/2)^(n*1/n)/n^(2*1/n)|`             `=lim_(n-gtoo) |(-1)^(n/n-1/n)(3/2)^(n/n)/n^(2/n)|`             `=lim_(n-gtoo)( 1 * (3/2)^1/n^(2/n))`            `=lim_(n-gtoo) (3/2)/n^(2/n)` Note: `|(-1)^(n/n-1/n)| = 1` Apply the limit property: `lim_(x-gta)[(f(x))/(g(x))] =(lim_(x-gta) f(x))/(lim_(x-gta) g(x)).` `lim_(n-gtoo) (3/2)/n^(2/n)=(lim_(n-gtoo) 3/2)/(lim_(n-gtoo)n^(2/n))`         ...

Steve Harmon is a character that wants to understand not only what is happening to him, but how it happened and why. He also wants to understand himself. Throughout the book, he is constantly asking himself, "who am I, really?" and he finds that he often doesn't have an answer to that simple question. The book starts out with a journal entry in which Steve questions everything that he knows and everything that is happening to him in prison, as he's waiting for the outcome of his trial. He talks about how everything that is happening to him (the crime, the arrest, the sitting in jail, talking with his parents, prosecutors, the judge, and other criminals) feels like a movie that is typical of a regular "prison movie." To him, this is a movie that is about being alone and scared, even in a sea of other people. This gives him the idea to make his own movie, a movie that he can play out in his head, and divide up into scenes. He says on page 4 that, "... to ...

Ulrich von Gradwitz and Georg Znaeym are pinned under the fallen beech trees, and they are badly injured. Ulrich von Gradwitz has one arm that is made numb because it is beneath him; his other hand is nearly as helpless as it is caught in tangled and bent branches. His two legs are pinned beneath the fallen limbs, making his running away impossible.  His feet are not crushed, only because he has worn heavy shoes, yet they are fractured. Blood trickles down his face. Georg Znaeym, too, has his arms and legs pinioned under the tree. His arms are made helpless because they are held under him. He, too, is blinded by the blood that trickles down into his eyes. Ironically trapped together with one another because both have hesitated to shoot for a civilized instant when they have been vis-à-vis, the two enemies eventually reconcile their differences after von Gradwitz offers Znaeym his friendship:  "Neighbour, if you will help me to bury the old quarrel I - I will ask you to be my frien...

Macbeth’s strengths include initiative and strength. He has courage on the battlefield, but since he wavers in his indecision on how much control he should have over his destiny in becoming king, this might not be seen as a strength off the battlefield, at least in the beginning. He is easily swayed by his wife. Yet in battle, he shows his courage and his loyalty to the king. In the battle against the king of Norway, Macbeth’s strength makes him a hero. He carves his way through opposing forces. Malcom, Duncan’s son, reports of his valor and says he well deserves the name of “brave Macbeth.” He takes the initiative in leading the charge, rather than looking to someone else’s leadership. His confidence in his abilities aids him in not backing down. Each of these strengths, however, is turned toward evil once the ugly head of ambition arises. He is confronted with his destiny to be king. His initiative makes him decide to murder Duncan, rather than letting fate take its course. His loyal...

When we use the term "Renaissance Man" today, we still first think of Leonardo da Vinci as the epitome of the moniker, though he lived over 500 years ago. Da Vinci created new techniques in painting, particularly  sfumato , the smoky quality present in many of his works which depicted a receding background. However, he also envisioned many ideas in science and technology long before the tools and scientific theories were available to bring his visions to fruition. In his sketchbooks, there are plans for the following inventions: the helicopter, the parachute, the armored car, the giant crossbow, the triple-barrel cannon, a more accurate clock, a self-propelled cart (the first robot), early scuba gear, and a revolving bridge designed to help armies escape from and foil the forces pursuing them. Da Vinci is not credited with inventing many of these things. He is credited, instead, with thinking of them first. For example, the first helicopter did not take flight until 1939.  We...

The development of Gregor's feelings in the story is essentially the development of his attempts to adjust to his new life, and the dawning realization that he cannot reconcile his humanity with his new form. At the beginning of "The Metamorphosis," Gregor assumes he can continue to work and provide for his family despite his physical transformation. As the story progresses, he realizes this is an impossibility and his goal turns to reconciling his future with a human brain and insect body. Rather than a return to normalcy, Gregor begins to focus on finding comfort in his new body: he spends time hiding under his sofa, crawling on the walls, and hanging from the ceiling, all while maintaining his human thoughts and emotions. Later, he begins realizing adaptation is impossible and feels himself losing his attachment to humanity, as his family clears the furniture out of his room and makes it apparent that his presence is a burden to them. Gregor's conclusion is that hi...

The story helps us appreciate that two factors that shape us are heredity and environment.  Jing-mei’s mother influences her because she tries to teach her a specific set of values that she hopes will be successful.  Her mother, in turn, is influenced by her own environment.  She is an immigrant so she brings along a set of expectations for success in America.  She is also influenced by media and the neighborhood. Jing-mei’s mother wants her to be successful.  This is why she decides to make her a prodigy, or a child genius. My mother believed you could be anything you wanted to be in America. You could open a restaurant. You could work for the government and get good retirement. You could buy a house with almost no money down. You could become rich. You could become instantly famous. At first, Jing-mei is willing to go along with the prodigy experiment, and even thinks it is fun.  It turns out to be a bust, through.  Jing-mei has no hidden instant talent, and she doesn’t really unders...

Water is produced by our bodies as a byproduct of the metabolism during a process called cellular respiration, in which glucose and oxygen are used to produce energy for cells. This process is somewhat complicated and involves a number of steps, but water is formed in the final step. This is the same process that produces the carbon dioxide that we exhale. It is also called  aerobic respiration  because it uses oxygen to produce energy.  During cellular respiration, first glucose (sugar) from the food that we eat is broken down to create the molecules Pyruvate and adenosine triphosphate (ATP). ATP is the main source of energy for cells and is a powerful energy storage molcule. Glycolysis utilizes the compounds NAD+ and NADH, two enzymes, to produce some ATP. However, most of the ATP that cells use is made later in cellular respiration. The Pyruvate produced during glycolysis is converted into Acetyl COA. Acetyl COA then enters the mitochondria of the cell to produce further energy in ...

There are various types of probability. Experimental (empirical) probability involves performing a number of trials and recording the outcomes. Subjective probability involves pattern recognition and professional judgement. Theoretical probability is a type of probability that does not require performing an experiment. The probabilities of various events can be calculated just from the knowledge of the system in question. The theoretical probability is the number of outcomes in the event space (the number of outcomes that have the required attribute) divided by the number of outcomes in the sample space (the total number of possible outcomes.) Examples include the probability of getting a certain number of heads from n flips, the probability of selecting a red ball then a blue ball from an urn, the probability of being dealt a straight flush in draw poker, etc... Compare to empirical probability where you would use methods like a Monte Carlo simulation to compare many different trials ...

Ernest Hemingway's first major novel, published in 1925,  The Sun Also Rises , is a novel from the Modernist period. However, it incorporates elements from previous literary movements. Realism is the predecessor to Naturalism. Jake Barnes's reluctance to consummate his relationship with Lady Brett Ashley is due to a war injury. Prior to the Realist movement, in both literature and visual art, such unpleasant aspects of life were not discussed. Hemingway's willingness to address war's ravages on one's sex life and self-esteem is an aspect of realism. Naturalism, which came into vogue in the late nineteenth and early twentieth centuries, borrowed from Social Darwinism. Naturalism accepted a determinist's view of nature -- that is, one's behavior or character were ingrained due to genetic inheritance and the circumstances of one's upbringing. The attitude that some of the characters express toward Robert Cohn is anti-Semitic. They deride his character, not ...

One way is when acidic water is passed through limestone. The chemical process is the result of the reduced ph of rain when it is exposed to carbon dioxide in the atmosphere. At a PH of around 5.6, rainwater is slightly acidic. When water reacts with the carbon dioxide in the air, it forms carbonic acid, H2CO3. Carbonic acid dissociates in water, leaving two H ions and a CO3 ion. These two H ions can each react with CaCO3, forming an aqueous Ca ion and an HCO3 ion. These are both washed away, where they will be left to evaporate somewhere else. Upon evaporation, the calcium recombines with CO3, and calcium carbonate is left as sedimentation. A second common reaction is with nitric oxide, a gas formed by lightning strikes. This NO combines with O2 to form NO2, and 3NO2 combine with H2O to form 2HNO3 and NO. Nitric acid, or HNO3, which dissociates in water to form H ions and NO3 ions. Like before, the H ions bind with the CaCO3 to make calcium ions and HCO3 ions; both of which are solubl...

Jonas is selected for a rare assignment of great honor, while the other assignments are routine. When a child in Jonas’s community turns Twelve, he or she gets an occupation.  These are basically the same ones we have in our world: teachers, doctors, caretakers, and so on.  There are a few jobs unique to Jonas’s community.  The most unique is the Receiver of Memory. The Ceremony of Twelve is going normally until Jonas’s number is skipped.  There are fifty children born in a year, and they are assigned a number for birth order.  Jonas is Nineteen.  When his number should be called, the Chief Elder goes to Twenty.  At first Jonas thinks he has done something wrong. The Chief Elder apologizes for the embarrassment and confusion she caused and explains. "Jonas has not been assigned," she informed the crowd, and his heart sank. Then she went on. "Jonas has been selected." He blinked. What did that mean? He felt a collective, questioning stir from the audience. They, too,...

For this writing assignment, I would focus on the message of hope that Ronald Reagan is giving to the people of East Berlin and East Germany.  He is giving them confidence that the United States is still their friend, as it was when John F. Kennedy gave the speech over twenty years ago.  He assures the people that the Berlin Wall will come down in the near future. Reagan challenges his counterpart, Mikhail Gorbachev to take action and remove the barrier.  Another reason for hope in the speech is how Reagan discusses how the two superpowers are working to eliminate the threat of nuclear warfare. A surprising part of the speech that I see is the stark difference between the West and East.  Consider this part of the speech: In the 1950s, Khrushchev predicted: "We will bury you." But in the West today, we see a free world that has achieved a level of prosperity and well-being unprecedented in all human history. In the Communist world, we see failure, technological backwardness, d...

One way that Eliezer changes from a boy to a man is seen in his relationship with his father.  At the start of the narrative, Eliezer has a traditional relationship with his father. Chlomo is a community leader and businessman.  He wields power in so far as he finds out information before it is made public.  When both Eliezer and his father are moved into one line in their first concentration camp, Eliezer is dependent on his father.   However, as their time in the camps increase, Eliezer becomes more independent.  He learns how to survive and what to do in order to endure. Eliezer also must take care of his father. For example, he negotiates for additional rations and teaches him how to march properly so he will not be abused.  Towards the end of the narrative, Eliezer is told the harsh truth that fully displays his maturation: Listen to me, kid. Don't forget that you are in a concentration camp. In this place, it is every man for himself, and you cannot think of others. Not even ...

A set of rules was decided on in order to keep the families in the annex safe and to make their life in hiding sustainable.  The individuals hiding in the secret annex had to be quiet during the day.  This was because the building that the annex was in housed a warehouse and offices.  During the day, employees worked inside the building.  The annex was in the upstairs part of the Amsterdam building.  Some of the rules were that during the office hours in the building, those in the annex had to stay very quiet and avoid walking around.  No one could go downstairs.  They were not allowed to flush the toilets or look out the window during the office hours.  Food was rationed and sometimes scarce in Holland during World War II.  There was a rule about not wasting food because of this.  There was also a rule about not speaking German in the annex.

Marbury v. Maidson was a United States Supreme Court case that defined judicial review, or the ability of the Supreme Court to void a law passed by Congress if it is deemed unconstitutional. The case began with President Thomas Jefferson and secretary of state James Madison refusing to honor the appointment of William Marbury as justice of the peace by previous president John Adams. Marbury requested a writ of mandamus, or order to an inferior governmental institution, from the Supreme Court to the secretary of state. Chief Justice John Marshall concluded that the Supreme Court was not able to issue writs of mandamus, and that Article III of the Constitution decided the role of the Supreme Court was to review whether acts of Congress are constitutional. This landmark case clarified the role of the Supreme Court and its relationship to other branches of government, and limited its power by denying it the right to issue writs of mandamus to other branches of government. The conclusion of...

When Western countries started to expand into Asia via colonization, Western countries were motivated by economic factors and a desire for prestige and power. When Western countries colonized Asia, they did so in part because they thought it would help them economically.  They wanted valuable goods like rubber and spices.  They also wanted captive markets in which to sell goods they had manufactured as they industrialized.  If they colonized Asian countries, they could be the only ones to benefit from those countries’ resources.  They could also be the only ones who were allowed to sell goods in those countries.  In these ways, taking an empire in Asia would help them economically. Western countries also colonized in Asia because they wanted more prestige and power.  They wanted far-flung colonies so they could project their military power around the world.  For example, if the British controlled Hong Kong, they could base military ships there.  This would give them the ability to use ...

Hello! I suppose that both objects move along the same straight line towards each other with the uniform velocities. Also I suppose that they do not lose energy during the collision (this is called elastic collision). Denote the first object as `A` with the mass `m_A` and the second as `B` with the mass `m_B.` Denote the magnitude of the A's speed before the collision as `V_A` (let it be directed to the right) and the magnitude of the B's speed as `V_B` (to the left). The speed of `B` after the collision is zero (it stops), the magnitude of the speed of `A` after the collision is `V_e.` I think it will be directed to the left. Then consider the projection to the line of their movement and use the momentum conservation law: `m_A V_A - m_B V_B = -m_A V_e` and the kinetic energy conservation law: `m_A (V_A)^2/2 + m_B (V_B)^2/2 = m_A (V_e)^2/2.` Note the plus and minus signs. This is the system of equations, the unknowns are `V_e` and `V_A.` Let's solve it. The first equation i...

We are asked to write a power function whose graph includes the points (2,3) and (6,12). Substitute the given x,y values into the base equation to get two equations in the two unknowns a,b. Solve the resulting system: `3=a2^b,12=a6^b` Solve the first equation for a: `a=3/(2^b)` Substitute this expression for a in the second equation: `12=(3/(2^b))6^b` `12=3(6/2)^b` `3^b=4` `b=(ln(4))/(ln(3))~~1.262` Use this value to find a: `a=3/(2^(ln(4)/ln(3)))~~1.251` Thus the model is `y=1.251x^1.262` ``

Your question specifies the movie adaptation of The Grapes of Wrath, but the Steinbeck novel on which it is based addresses the same relationship between people and their land. Land is important to the Oklahoma sharecroppers because it has been their source of life and meaning. As farmers, the men in Steinbeck's seminal novel have worked on their land for long hours each day during planting and harvesting seasons. The earth they have tilled has produced life, fed them and their families, covered their hands and faces, and gone into their skin. To these men, the earth is a living thing, not just some surface of the world. It is an integral part of their existence. When the corporations decide the sharecroppers must go, one of the farmers, Muley Graves, refuses, saying, "Fella gets use' to a place, it's hard to go." In Chapter 9, Steinbeck writes the thoughts of the farmers as they think of the rich land in California: "We'll start over." But you can...

The significance of the opening paragraph of Elie Wiesel's Night only becomes apparent later in the chapter. By beginning his narrative with a brief description of a nondescript figure, Wiesel is preparing the reader for the full measure of Moshe the Beadle's importance as the story develops. The paragraph in question describes a seemingly innocuous figure in the small town in which Elie's family lives. Poor and idiosyncratic, Moshe is also among the more religiously observant in this town, and he would be an object of ridicule were he not so clearly harmless, pious and committed to his temple, or house of worship. While the paragraph that opens Chapter One, and that is the subject of the student's question, introduces the reader to Moshe the Beadle, it is the following paragraph that truly serves to emphasize this character's benign and optimistic nature: "Physically, he was as awkward as a clown. His waiflike shyness made people smile. As for me, I liked his...