Notes

An 'abstract' in literature may refer to a summary of the essential elements in a literary work or it could relate to the expression of an idea which is not perceivable by the five sentences (i.e. an intangible quality). In terms of the second definition, the abstract could thus be the theme or symbolism conveyed by the text. I assume that the question relates to the second definition. In this regard, then, Gail Godwin's tragic short story, "A Sorrowful Woman", explores, firstly, the idea of the destructive forces innate in society's expectations, namely that in a paternalistic society, women are expected to play the role of dutiful spouses, caregivers and nurturers without question. It is clear from the outset that the mother and wife in the story cannot cope with the duties imposed upon her. The image she conveys is one of sadness and depression. She is clearly mentally ill and withdraws from her husband and son. The husband makes all sorts of attempts to en...

The major relationship between the Cold War and the Civil Rights Movement was that the Cold War caused American leaders to support civil rights more than they might otherwise have done. The Cold War was, of course, a struggle between the US and the Soviet Union.  Both sides wanted to dominate the world and spread their ideology as widely as possible.  What this meant was that the two sides had to compete to gain the favor of various countries around the world.  Civil rights was one issue that affected, or could affect, the way the other countries viewed the US.  The Soviet Union was able to criticize the US for talking about democracy and human rights while mistreating racial minorities at home.  This made the US look bad to other countries.  It was particularly problematic when the US and the Soviets were competing for the loyalty of non-white countries.  The Soviets could point out to the people of those countries that American democracy did not include rights and respect for people ...

There were many events that led up to the start of the second World War.  Some historians argue that World II was simply a continuation of World War I.  This topic is extremely complex, so I will highlight some of the main causes. The Treaty of Versailles stated that Germany was to blame for World War I.  Germany was ordered to pay reparations to France and to Great Britain.  The country had already suffered greatly during World War I.  In order to pay the money, they printed a massive amount of German marks.  This led to significant inflation, and German money became practically worthless.  Some people even burned German marks as fuel because it was cheaper than purchasing firewood.  The amount that Germany had to pay was so large that they did not finish payments until 2010.  Germany also lost land and territories after the war.  The Treaty called for land to be annexed to neighboring countries.  The Germans had to de-militarize the Rhineland, which was an area along the border of Be...

The meter of Edmund Spenser's  The Faerie Queen  is mostly iambic pentameter. That means each line contains a total of ten syllables. Those ten syllables are broken up into five different chunks called "feet." Each foot contains an unstressed syllable followed by a stressed syllable. That metric foot is the iambic foot, and there are five of them per line (pentameter). I said that the poem is  mostly  written using iambic pentameter. Spenser regularly breaks that meter in line nine of each stanza. The iambic rhythm stays the same, but one extra foot is added in the ninth line. That gives the final line of each stanza a total of twelve syllables. Lines 1-8 of a stanza are written in iambic pentameter. Line 9 of a stanza is written in iambic hexameter. The alphabetical lettering of the rhyme scheme of the two lines that the question displays is AA. The two lines end with the same sound, so the same two letters get used; however, those lines are part of an entire nine-line s...

The drive to expand Russian territory was rooted in several factors. One of the most important of these factors was awareness of Russia’s exposed geographical position, which had led to various invasions by peoples from Central Asia. The greatest of these invasions, that of the Mongol Empire, resulted in two centuries of domination by the Mongols and their successors. Even after Mongol power was broken, a number of Mongol successor states, or khanates, persisted on Russia’s borders. As part of an effort to make its frontiers more secure against the khanates, Russia pushed outward against them in a series of wars that steadily expanded its territory. Thus the Kazan khanate was conquered by Ivan the Terrible, and later Peter the Great made repeated attempts to conquer the Crimean khanate, a project completed by Catherine the Great. The campaigns against the khanates led to conflicts with other major powers, most notably the Ottoman (Turkish) Empire. Wars with Turkey were driven not by a ...

Mexico was very angry when the United States annexed Texas in 1845.  In fact, Mexico broke off diplomatic relations with the United States and threatened to go to war (though it did not carry through on that threat).  This was because Mexico felt that Texas was still part of Mexico. Texas had been a part of Mexico for a very long time.  It was, of course, in the far north of that country and was not very heavily populated.  Because of this, the Mexican government, in essence, felt that the land in Texas was being wasted.  For this reason, Mexico started to implement policies to attract American settlers to Texas.  Before long, there were many more Americans than Mexicans in Texas.  This caused problems as the Americans generally did not want to become Mexican.  They felt their country was superior and they preferred to retain their American identities.  In the early 1830s, civil war essentially broke out in Mexico between people who wanted a strong central government and people who wan...

`lim_(x->0) (sin (5x))/(tan(9x))` To solve, plug-in x = 0. `lim_(x->0) (sin(5*0))/(tan(9*0)) = 0/0` Since the result is indeterminate, to find the limit of the function as x approaches zero, apply L'Hopital's Rule. To do so, take the derivative of the numerator and denominator. `lim_(x->0) (sin(5x))/(tan(9x)) = lim_(x->0) ((sin(5x))')/((tan(9x))') = lim_(x->0) (5cos(5x))/(9sec^2(5x))` And, plug-in x =0. `= (5cos(5*0))/(9sec^2(5*0) )= (5cos(0))/(9sec^2(0)) =(5*1)/(9*1)=5/9` Therefore,  `lim_(x->0) (sin (5x))/(tan(9x))=5/9` .

In Chapter 10, Jem and Scout are outside playing with their air rifles when Jem notices Tim Johnson staggering down the middle of the road. After Calpurnia sees the dog, she immediately recognizes that it is "mad." When Calpurnia speaks to Miss Eula May on the telephone, she says, “I know it’s February, Miss Eula May, but I know a mad dog when I see one. Please ma’am hurry!” (Lee 58). Clearly, something is odd about an animal with rabies during the cooler months in Alabama. Apparently, rabies tends to be transmitted more often during the summer months when the weather is warmer which is why Eula May questions Calpurnia. Sheriff Tate then arrives on the scene and gives his rifle to Atticus. Atticus reluctantly takes the weapon and shoots Tim Johnson above his left eye. After witnessing his father's expert marksmanship, Jem is in awe of Atticus' abilities. Miss Maudie then explains why Atticus never bragged about the fact that he was the best shot in Maycomb. 

The parents first find the father's, George Hadley's,  wallet in the nursery. It has been chewed by the lions, has the lions' saliva on it and is bloody. Later, they find the mother's bloody scarf on the nursery floor. Finding these items frightens the parents, who can't figure out how they got there. The parents are so unnerved by this, along with children's fixation with Veldtland, that they decide to shut down the nursery, which badly upsets the children. The two bloody items represent examples of the literary device of foreshadowing, suggesting to the reader before it happens that George and Lydia will be killed and eaten by the supposedly imaginary lions in the nursery. 

In 1984 , the Proles are allowed to partake in a number of vices which are expressly forbidden for Party members, like Winston and Julia. They are allowed to wear perfume, play the lottery, and sleep with prostitutes. The Party allows this behavior because it does not believe Proles pose any real political threat. In fact, the Party teaches that the Proles are not like Party members, as shown in Part One, Chapter Seven: The Party taught that the proles were natural inferiors who must be kept in subjection, like animals. As such, the Party allows the Proles to live as they choose and, for the most part, the Proles do not cause any social or political problems. This is because they have not developed the necessary consciousness to rebel: they are happy with the way they live and see no reason to change things. 

In the novel, Pierre Aronnax is a French marine biologist, as well as an Assistant Professor at the National History Museum of Paris. In the early chapters of the book, we learn that the United States government has invited Dr. Aronnax to join the hunting expedition for a supposed sea monster. Meanwhile, the New York Herald has asked Dr. Aronnax to provide his expert opinion about the cause of all the recent shipwrecks. To date, there are two opinions about these tragedies. The first is that the shipwrecks were caused by a giant sea monster of some sort; the second is that a submarine vessel of enormous dimensions was responsible. Because he has published a highly acclaimed book on the "Mysteries of the Great Submarine Grounds," Dr. Aronnax is considered an expert on the subject. Compelled by his sense of duty, he proceeds to write an article, arguing for the hypothesis that the shipwrecks were caused by a "sea-unicorn of colossal dimensions."

One example of alliteration, the repetition of an initial consonant sound, occurs when the narrator says, "Deep into the darkness peering, long I stood there wondering, fearing, / Doubting, dreaming dreams no mortal ever dared to dream before" (25-26). The repetition of the hard "d" sound in these two lines helps to enhance the ominous mood generated by the meaning of the words. The narrator is nervously staring into the darkness, a somewhat foreboding action, and the repetition of the "d" sound is foreboding as well. This increases tension for the reader. Another example of alliteration actually occurs in the same stanza: "And the only word there spoken was the whispered word, 'Lenore!' / This I whispered, and an echo murmured back the word, 'Lenore!'" (28-29). The repetition of the much softer "w" sound, especially after the harsh series of "d" sounds, is much gentler, just as a whisper would be. The transiti...

While Langston Hughes never grew up surviving on the streets the way Roger seems to in Hughes's short story "Thank You, M'am," Hughes certainly did have experiences with parental neglect and poverty . The battle with racial prejudices was a huge contributing factor to Hughes's parental neglect. Hughes spent much of his childhood under the care of his maternal grandmother in Lawrence, Kansas. Hughes had been born to his parents, Carrie Mercer Langston and James Nathaniel Hughes, in Joplin, Missouri, but his parents soon separated. Hughes's father moved to Mexico, where he could practice law freely, without the constraints of racial prejudices, while his mother roamed looking for work , leaving Hughes to the care of his grandmother. Because Hughes's father left the US to escape prejudices while his mother struggled to find work due to prejudices, we can say that Hughes suffered from parental neglect , and racism was largely to blame . Similarly, in his s...

There are several recurring themes in Patrick Henry's stirring Speech to the Second Virginia Convention. First, he warns against hope as an excuse for inaction. He points to the "insidious smile" with which the Crown responded to the latest petition from the colonies. He points to a decade of nonviolent struggle to no avail, and his frustration speaks to the colonists' frustration at their inability to enact changes in the policies of the Crown. He refers to "warlike preparations which cover our waters and darken our land" and a "martial array" of British troops and ships recently arrived to assist in quelling the unrest. No doubt the arrival of these "warlike preparations" was intended to be a show of British strength, but they instead inflamed the passions of the American rebels. They certainly inflamed Patrick Henry, and he questions their use: I ask gentlemen, sir, what means this martial array, if its purpose be not to force us to su...

In Act 1, Scene two, Lord Capulet tells Paris to wait two more years before he starts to think about marrying Juliet. Capulet goes on to tell Paris that his permission is only part of her decision. Lord Capulet demonstrates his tolerance and respect for his daughter's opinion by commenting that he will give Juliet his blessing whether or not she agrees to marry Paris. In Act 3, Scene four, Lord Capulet tells Paris that Juliet will obey any decision he makes. He then says that Juliet will marry Paris on Thursday. Lord Capulet proceeds to tell his wife to inform Juliet that she will be marrying Paris. Lord Capulet's drastic change in character concerning his daughter's marriage portrays his capricious personality. Instead of respecting Juliet's choice and trusting her decision, Lord Capulet becomes forceful and insensitive. His attitude changes from being respectful and sensitive in Act 1, to controlling and inconsiderate in Act 3.

Let's first get a better understanding of where this quote occurs within the play's narrative. Romeo and Juliet have just met for the first time at the Capulet ball, and, although they did not have a long time to converse there due to the oppressive, ever-watching eye of Juliet's family, they were both equally struck by the force of love.  In Act Two, Scene Two, Romeo sneaks into the Capulets' gardens to admire Juliet from afar. He climbs up to her balcony to proclaim his love for her, swearing his affection by the "blessèd moon" above, but Juliet is dissatisfied by this vow due to the moon's ever-changing nature. Their conversation is short and sweet, and Juliet attempts to hurry off back to her bedroom, bidding her love good night and proclaiming that she hopes their love will have grown by the time they meet again. It is now Romeo's turn to be dissatisfied, and he rather coyly asks of her, "O, wilt thou leave me so unsatisfied?" When Julie...

The balance sheet equation is an accounting rule used in standard double-entry bookkeeping: It says that assets minus liabilities must equal equity, or equivalently assets equal liabilities plus equity. If a transaction violates the balance sheet equation, that means that it changes some or all of the three terms so that the equation no longer balances; this should not happen in the ordinary course of business, and is generally evidence of an error or possibly even fraud. You should never just increase liabilities by $1,000, for example; that increase in liabilities should be matched by an increase in assets or a decrease in equity. By requiring accounts to balance in this way, double-entry bookkeeping makes it easier to detect errors and harder to commit fraud.

The rise of Christianity in Europe during the Middle Ages led to changing views of the human body.  Christianity, and more specifically Catholicism, emphasized modesty and chastity.  Most artistic depictions of the human body were clothed during this time.  An exception were depictions of Adam and Eve from Genesis.  Adam and Eve represented sin, and were depicted in the nude.  Many paintings and sculptures were of Biblical scenes. The study of medicine and human anatomy during the Middle Ages was limited.  Dissection of dead bodies was forbidden by the Church, and was rarely done.  Study of the body was limited to outdated teachings and observations of a whole body.  Male doctors rarely assisted women in childbirth.  Female midwives helped to deliver babies in the Middle Ages.  They were usually the ones to provide any sort of medical care for women during the Middle Ages because of concerns about modesty. During the Greco-Roman period, the human body was celebrated.  It was frequently...

Metatheatre or metadrama refers to theatre or drama that calls attention to its status as drama, and that often contains self-referential imagery or other material that reminds the audience that the play's "realism" is in fact artificial and theatrical. Such an approach, if done well, can actually produce a very powerful theatrical experience, as the idea that theatrical artifice can be stripped bare then allows for actors' performances to really define a play's potential. One metatheatrical aspect of Equus involves the portrayal of horses on stage. Clearly, using live horses would be impractical for many reasons. In most productions, the horses are represented by actors wearing horse costumes (heads or masks, hooves, tails) or carrying horse puppets they move with their hands and shoulders (heads and hooves). The original Broadway production drew excellent reviews for its unusual stylized production design. By using this metatheatrical device, the production all...

Well, for starters, Shakespeare used the word "honest" or some form of it a lot in Othello : over fifty times! So it's definitely worth our consideration. First, the characters talk about who does or doesn't have an "honest face" or an "honest hand." In Act 2, Scene 3, Montano says it would be an "honest action" to tell Othello about how his second-in-command is an alcoholic. And there's a lot of talk about Desdemona and other women being "honest" or not. You get the idea that Shakespeare's use of the word "honest" in this sense is a stand-in for all kinds of virtues: like openness, faithfulness, and chastity. This makes sense if you take a look at the entry for "honest" in the Oxford English Dictionary and note that, in addition to "truthful," it also used to mean "noble" and "respectable" as well as "virtuous" and even "chaste." Second, characters in...

When the Burnell children are opening up their doll's house, Mansfield portrays the wonder and perspective of children uncovering a new and mysterious miniature world. When the children open the door to the house, Mansfield writes, "How much more exciting than peering through the slit of a door into a mean little hall with a hat-stand and two umbrellas!" And then the children think, "Perhaps it is the way God opens houses at dead of night when He is taking a quiet turn with an angel." Mansfield conveys the wonder of children through such terms and images as God opening "houses at dead of night," while the adults, on the other hand, concentrate on the smell of the paint coming from the doll's house. Aunt Beryl thinks, " For, really, the smell of paint coming from that doll's house." While the children focus on the wonder of the house, the adults focus on its inconvenience and odd smell. The symbol of the lamp in the doll house symboliz...

"Noun" is the designation for a grammatical concept, a type of word. A noun is generally described as a "person, place, or thing," but it also includes ideas, such as democracy. Verbs designate action words but nouns are the entities that do the actions or have the actions done to them.  There are two types of nouns: common nouns and proper nouns. Common nouns are the kinds of nouns that are in the sentences of this answer, e.g., words such as "noun," "concept," "type," and "word." These are generic. There are many nouns, many concepts, many types of things, and very many words! Proper nouns, in contrast, designate specific things or ideas. You can have a city (common noun) or you can have "New York," which is a specific city and a proper noun. There can be a person, or you can have "Barak Obama," as a specific person and also a proper noun.  Proper nouns, as can be seen from the examples above, are the typ...

Throughout the majority of the novel, Scout's innocence is depicted in her inability to understand certain derogatory phrases and adult concepts. Scout's innocence is also portrayed in the fact that she believes everything Jem says . Some of Scout's most explicit questions include: "W hat exactly is a nigger-lover? " (Lee 67). " What’s rape? " (Lee 84). In Chapter 2, Miss Caroline tells Scout that somebody had to have taught her how to read because she wasn't born with the ability to read. Scout responds by saying, " Jem says I was. He read in a book where I was a Bullfinch instead of a Finch. Jem says my name’s really Jean Louise Bullfinch, that I got swapped when I was born and I’m really a— " (Lee 12). Scout believes her older brother's ridiculous story and actually thinks that she was born knowing how to read . Jem is also depicted as being innocent throughout the majority of the novel. In Chapter 7, Jem explains to Scout what he is...

Brutus betrayed Julius Caesar on the Ides of March in 44 BCE.    It is a little unclear who started the conspiracy to assassinate Julius Caesar originally, or when it started.  Historians’ consensus is that it was not planned very far in advance, because there were so many people involved and no serious leaks.  Marcus Junius Brutus had a complicated relationship with Caesar, mostly related to the fact that it is fairly well established that his mother and Caesar were lovers.  Some historians believe Caesar may have been Brutus’s father, but most believe Brutus was too old to reasonably be Caesar’s son. He was born in 85 BCE, fifteen years after Caesar's birth in 100 BCE.  The historians also do not believe Brutus was the original leader of the conspiracy. He is usually considered a bit of a weakling by historians. Shakespeare takes this weakness and makes it idealistic and noble. Brutus was a bit wishy-washy. He followed Pompey, not Caesar, in their civil war.  He then asked Caesar...

In the question, both parents are homozygous recessive for a trait. Therefore, the only genes present in each parent's genotype would be two copies of the recessive gene.  If these parents decide to have offspring, 100% of their children will inherit two recessive alleles and will express the recessive trait. An example of this can be demonstrated with the sickle cell anemia allele. If both parents have sickle cell anemia, then all of their offspring will have the disease phenotype. The disease phenotype of sickle cell anemia requires an individual to have two recessive alleles for sickle cell anemia.  Another example is demonstrated with the trait of attached earlobes. Free ear lobes are a dominant trait which require only one dominant gene for the phenotype to appear. However, attached earlobes are a recessive trait. The only way the trait of attached earlobes will appear is if the person is homozygous recessive.  If both parents have attached earlobes, all of their offspring wil...

Shakespeare wrote during the English Renaissance—a time in which humankind thirsted for knowledge in many areas (sciences and arts being two of the more prominent)—but it is true that the Elizabethans were a suspicious lot who often depended more on emotion than erudition. In addition, the influences of the Catholic and Anglican churches of the time encouraged people to believe in a spiritual realm, and not just one that housed peaceful, benevolent, angelic spirits. Furthermore, people of Shakespeare's time considered astrology and astronomy to be the same science, so they were just as willing to accept the concept that Romeo and Juliet were "star-crossed" as they were to accept they were hormone-charged teenagers. With the combination of these elements in full force, people in Shakespeare's time were very willing to accept that there could be malevolent forces in the world and also believed that these forces could be called forth by those who wanted to utilize their ...

The question presumes there is a difference between "the state" and "the government."  Merriam Dictionary provides multiple definitions of the word "state", and the one pertaining to matters of government and civil society has three related sub-definitions: 5(a):  a politically organized body of people usually occupying a definite territory; especially one that is sovereign (b):  the political organization of such a body of people (c):  a government or politically organized society having a particular character <a police state> <the welfare state> The definition shows that the concepts of state and government are often used interchangeably.  Therefore, in the context of the question, the notion of "state" refers to the people and relationships associated with a particular territory ("the governed"), while government refers to the institutions, people, and resources which define and enforce the rules for that territory. The d...

`sum_(n=1)^oo (4x)^n/n^2` To find radius of convergence of a series `sum` `a_n` , apply the Ratio Test.  `L = lim_(n->oo) |a_(n+1)/a_n|` `L=lim_(n->oo) | (4x)^(n+1)/(n+1)^2 * n^2/(4x)^n|` `L= lim_(n->oo) |(4xn^2)/(n+1)^2|` `L = |4x| lim_(n->oo) |n^2/(n+1)^2|` `L = |4x| * 1` `L = |4x|` `L =4|x|` Take note that in Ratio Test, the series converges when L < 1.  `L < 1` `4|x| lt 1` `|x|lt1/4` Therefore, the radius of convergence of the given series is `R = 1/4` .

To determine the convergence or divergence of the series `sum_(n=1)^oo (-1)^n/sqrt(n)` , we may apply the Root Test. In Root test , 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) `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. For the given series `sum_(n=1)^oo (-1)^n/sqrt(n)` , we have `a_n =(-1)^n/sqrt(n)` . Applying the Root test, we set-up the limit as:  `lim_(n-gtoo) |(-1)^n/sqrt(n)|^(1/n) =lim_(n-gtoo) (1/sqrt(n))^(1/n)` Note: `|(-1)^n| = 1` Apply radical property: `root(n)(x) =x^(1/n)` and Law of exponent: `(x/y)^n = x^n/y^n.` `lim_(n-gtoo) (1/sqrt(n))^(1/n) =lim_(n-gtoo) (1/n^(1/2))^(1/n)`                           `=lim_(n-gtoo) 1^(1/n) /n^(1/2*1/n)`                          ` =lim_(n-gtoo) 1^(1/n) /n^(1/(2n))`           ...

Negative feedback mechanisms will reduce the deviation from the set point, or, to use the terminology from the question, they will result in a reduction of the initial stimulus.   Look at the example of body temperature, 37 degrees C.   If our temperature increases by 2 degrees to 39, thermoreceptors detect that change and notify the hypothalamus that our temperature has deviated from homeostasis.  The hypothalamus then promotes actions like sweating and vasodilation of the surface blood vessels to get heat to the skin and remove it via evaporative cooling.  Thermoreceptors detect that our 2-degree deviation has been reduced to a 0-degree deviation (i.e., we are back to normal temperature), and the hypothalamus puts the body back to resting state. If our temperature decreases by 2 degrees to 35, the hypothalamus promotes shivering and vasoconstriction.  This warms the body and keeps heat near the vital organs.  Again, once the 2 degrees has been reduced to 0 degrees, the body goes back...

Hamlet is driven insane because of the unbelievably inappropriate nature of the marriage between his uncle and mother--a union that arose out of betrayal, political motivation, and murder. Early on in the play, Hamlet learns from the Ghost (who actually is  the spirit of Hamlet's dead father, the late king) that Hamlet's father was murdered. The perpetrator of this crime was Claudius, the brother of Hamlet's father. Claudius has since assumed the throne and married Hamlet's mother, Gertrude. This, as the Ghost explains, is a "foul and most unnatural murder," one committed by an "incestuous... adulterous beast." By pouring poison into the King's ear, Claudius managed to steal his brother's life, crown, and wife all at once; this act is made even worse by the fact that Hamlet's father was killed without having had the opportunity to confess his sins and save his mortal soul. With all this in mind, Hamlet decides that he must avenge his fath...

There is no specific collective name that refers only to the molecules H2 and O2. The only thing they really have in common is that both molecules are composed of two identical atoms. Thus, we can identify them as belonging to the category of diatomic elements. The term "diatomic" is simply what it sounds like; two atoms, meaning that the atom will not be found by itself (monatomic) under normal circumstances because of its reactivity. Part of the reason for this is that the atoms, being identical, also have identical electronegativities, and therefore the electrons are equally shared between them in the bond. This isn't to say that alternative bonds are impossible, such as a single oxygen bound to a single fluoride atom, but that the electronegativity difference in these atoms causes the bond to be more energetic, and therefore less favorable, and less stable. It would also be impossible to satisfy the octet rule for this arrangement, further lending to its reactivity, ...

The Children's March was an African-American youth protest against segregation; it occurred during the first week of May in 1963 and began on May 2. Many of the participating youth were still prepubescent children; however, they were supportive of the Civil Rights Movement and were determined to do their part for equality. The youth were trained in non-violent tactics by leaders in the Southern Christian Leadership Conference (SCLC). The Reverend James Bevel was the brainchild behind the Children's March, and he was able to galvanize more than 3,000 youth to participate in the march for freedom. The youth were met by throngs of police with attack dogs and fire hoses. Many of the children were sprayed from powerful hoses and beaten by police wielding batons. Many more were arrested for their part in the demonstrations. On May 5th, the youth marched to the Birmingham jail to make their stand; they sang freedom songs and prayed. Many of their peers who were already in jail rallied...

Emily is so secretive and reclusive that people do not even realize she has killed someone because no one is allowed in the house. Emily considers herself superior to her townspeople.  Her attitude is to avoid them and expect them to avoid her.  She is also very stubborn and eccentric, as evidenced by her refusal to pay taxes.  She insists on living off of the legacy of her also eccentric father, long after he is dead.  Emily is so odd that no one really questions anything she does. When Emily’s beau Homer Barron disappears, no one thinks that she killed him and left his body in the house.  He is a “Yankee” and they just assume that he went back where he came from.  They know Emily is strange, but they never assume she is a murderer.  She seems so timid.  She has never been able to have a boyfriend, because when she was younger her father scared them all off.  They just assume that she will be a spinster. So she vanquished them, horse and foot, just as she had vanquished their fathers ...

`a_n=sin (npi/2)` The subscript n represents the term number. It usually starts with n=1 which tells that `a_1` is the first term. So to determine the first five terms, plug-in `n={1,2,3,4,5}`. When `n=1` , the first term is: `a_1=sin (1*pi/2)` `a_1=1`  When `n=2` , the second term is: `a_2=sin (2*pi/2)` `a_2=0`  When `n=3` , the third term is: `a_3=sin (3*pi/2)` `a_3=-1`  When `n=4` , the fourth term is: `a_4=sin (4*pi/2)` `a_4=0` And when `n=5` , the fifth term is: `a_5=sin (5*pi/2)` `a_5=1` Therefore, the first five terms of the sequence are {1, 0, -1, 0, 1}. 

From the basic list of power series, we have: `ln(x) =sum_(n=0)^oo (-1)^(n) (x-1)^(n+1)/(n+1)`          `= (x-1)-(x-1)^2/2+(x-1)^3/3 -(x-1)^4/4 +...` We replace "`x` " with "`x+1` " to setup: `ln(1+x) =sum_(n=0)^oo (-1)^n ((x+1)-1)^(n+1)/(n+1)`                `=sum_(n=0)^oo (-1)^n x^(n+1)/(n+1)`                `=x-x^2/2+x^3/3 -x^4/4+...` Note: `((x+1)-1) = (x+1-1) = x` Then, `x ln(1+x) =sum_(n=0)^oo (-1)^n x^(n+1)/(n+1) *x`                    `=sum_(n=0)^oo (-1)^n x^(n+2)/(n+1)` Note: `x^(n+1) * x = x^(n+1+1) =x^(n+2)` Applying the summation formula, we get: `x ln(1+x)= x*[x-x^2/2+x^3/3 -x^4/4+...]`                   or                   `= x^2 -x^3/2+x^4/3-x^5/4 +...` Then the integral becomes: `int_0^(1/4) xln(x+1) = int_0^(1/4) [x^2 -x^3/2+x^4/3-x^5/4 +...]dx` To determine the indefinite integral, we integrate each term using the Power Rule for integration: `int x^n dx= x^(n+1)/(n+1)` . `int_0^(1/4) [x^2 -x^3/2+x^4/3-x^5/4 +...]dx` ` = [x^3/3 -x^4/(2*4)+x^5/(3*5)...

The black flag indicated a dark subject matter.   Tragedy is a genre that usually involves serious themes and high drama.  In Shakespeare's day, different flags flown over the Globe Theatre indicated different subject matter.  The black flag was used for tragedy because tragedy is “dark” and black is a dark color.  I suppose you could use red for tragedy because it involves blood, but the red flags were used for history plays.  I guess they thought that history was bloody!  The black color is more symbolic.  It demonstrates that there is going to be a brooding subject matter.  By contrast, a white flag indicated a comedy.   A comedy is light, so it gets a white flag, and a tragedy is dark, so it gets a black flag.

Simon and Piggy do not have a mutual relationship. Although they both value civilization and are Ralph's biggest supporters, Piggy does not respect Simon. Despite Piggy's dismissive views of him, Simon is quick to aid Piggy whenever possible. There are several scenes throughout the novel which depict Simon helping Piggy and offering him support. In Chapter 4, Simon is quick to grab Piggy's glasses when they fall on the rocks, and in Chapter 7, Simon volunteers to travel back through the forest to tell Piggy and the littluns where the group is located. Piggy takes Simon's selflessness for granted and acts rather rude to him. In Chapter 5, during an assembly meeting where the boys discuss the existence of the beast, Simon admits that he isn't sure whether or not a beast exists. Simon says, " What I mean is...maybe it's only us " (Golding 89). Piggy quickly responds by saying, " Nuts! " (Golding 89). Piggy thinks Simon is crazy and doesn...

Yes, this is a challenging essay! To find the thesis, we should read through it, looking for a place where the author has stated some original idea that much of the essay supports and discusses.  Notice how Saunders opens the essay by describing the story (called "A Worn Path") and by explaining what another critic, Isaacs, has already said about the story and what it means. Then Saunders writes: All things considered, Isaacs' analogies are quite astute and provide us with the basis for a most interesting perspective: Phoenix Jackson is involved in that crucial search for meaning in life that is founded on basic Christian principles and designed, upon completion, to provide her with life-giving sustenance. Even if she is, due both to her advancing years and the nature of her difficult mission, about to die by the story's end, it is only so that life might be affirmed through acquisition of the medicine her grandson needs. That phrase in bold above is a big clue. The ...

Tennyson's "Tithonus" is a dramatic monologue. The first person narrator is the mythological figure Tithonus who was granted eternal life but not eternal youth by Eos, the goddess of the dawn. The monologue addresses Eos in the second person. The nineteenth century audience reading this poem might have been familiar with the story from the Homeric Hymns. As with the dramatic monologue in general, the personality of the speaker is not described by exposition but gradually revealed to the audience by the statements he makes and the attitudes found in his speech, although the focus of the poem is not so much the speaker's distinctive personality but his emotional reaction to his situation. He was and still is deeply in love with Eos (Latin: Aurora), but as he grows old and she does not, he falls into melancholy. He begins to regret his desire to become immortal so as to be with Eos for eternity, seeing that desire as the arrogance of youth. As he has grown older, he has ...

In Chapter 23, Atticus explains to his children that a person related to Walter Cunningham initially voted for Tom's acquittal during the trial, which is why the jury deliberated for so long. Jem and Scout are shocked to hear this, and Atticus continues to elaborate on the Cunninghams' respectable family background. Scout then mentions that as soon as school starts she is going to invite Walter over for dinner. Aunt Alexandra tells Scout, " We'll see about that ," and Scout asks her why not (Lee 299). Alexandra goes on to tell Scout that the Cunninghams aren't their kind of folks. She mentions that no matter how much you scrub Walter Cunningham and dress him appropriately, he will never be like Jem. Scout gets extremely upset and asks Alexandra again why she cannot play with Walter. Aunt Alexandra responds by saying, " Because---he---is---trash, that's why you can't play with him. I'll not have you around him, picking up his habits and learnin...

Most of the characterization of Rosie is direct, meaning that Squeaky, the narrator, describes her specifically.  There is also some indirect characterization because Rosie is described through her actions and words. An example of the direct characterization is Squeaky’s introduction of Rosie.  She is upset because Rosie makes fun of her brother Raymond, who has special needs.  Rosie … is as fat as I am skinny and has a big mouth where Raymond is concerned and is too stupid to know that there is not a big deal of difference between herself and Raymond and that she can’t afford to throw stones. Rosie has also been hanging out with the new girl Gretchen.  Rosie, Mary Louise, and Gretchen seem to go around together a lot.  Squeaky is not included.  She feels left out, because Mary Louise used to be her friend before Gretchen came. She never liked Rosie, because of her attitude apparently. Squeaky describes Rosie as “salty.”  By this she means that Rosie is sassy or rude. “I don’t think yo...

Pride Creon's chief flaw, and ultimately his downfall, lies in his refusal to admit that he is wrong. By the time that he does, it is already too late to save Antigone. He only admits to his pride at the very end, when he decides to free Antigone. Creon: That is true…. It troubles me. Oh it is hard to give in! but it is worse to risk everything for stubborn pride. Selfishness Creon doesn't think of his son, who is engaged to Antigone, or his son's happiness. He justifies his actions to Haimon by telling him that she wouldn't have been good for him in the end. Creon: So you are right Not to lose your head over this woman. Your pleasure with her would soon grow cold, Haimon, And then you’d have a hellcat in bed and elsewhere. Let her find her husband in Hell! Anger   During Creon's argument with his son, Haimon, he allows his anger to cloud his reason. He even childishly repeats Haimon's question to make his own point. Creon: Then she is not a criminal? Haimon: Th...

Even though his men want him to take some food and leave as soon as possible, Odysseus wants to stay in Polyphemus's cave because he hopes "[he] might see [the cave's owner] and [this owner] might offer [Odysseus] gifts." Odysseus might expect such gifts from an obviously wealthy host because of the ancient Greek ideas concerning hospitality. Greeks believed Zeus protected travelers and that a host had a religious obligation to offer hospitality to any traveler; this hospitality would often include the presentation of a guest-gift, if such a gift were financially viable for the host. Odysseus isn't just randomly expecting presents; rather, he's expecting (perhaps a tad arrogantly) that he will be offered gifts as an extension of this hospitality. The guest, however, also had an obligation not to take advantage of a host's hospitality, and so we might read Odysseus's expectation as a bit presumptuous.

The book never says that Darry is "super smart." However, there are two places in the book when Ponyboy comments on the fact that Darry is smart.  Page numbers will be different from edition to edition, so I will give you the page numbers that I have.  I will provide the full quote too, so that should get you really close to the exact location and page number.   The first time that Ponyboy comments on Darry's intelligence is on page 7.   He looks older than twenty -- tough, cool, and smart. He would be real handsome if his eyes weren't so cold. He doesn't understand anything that is not plain hard fact. But he uses his head. I do not really think that is a glowing endorsement of Darry's potential intelligence.  Ponyboy says that Darry looks smart.   That doesn't mean he is smart.  Ponyboy does clarify himself a bit and says that Darry "uses his head"  This tells me that Darry thinks things through, which I believe is a smart personality trait. ...

The unemployment rate does not count all jobless individuals. To be classified as unemployed, a person must be jobless, looking for a job, and available for work. People without jobs who do not fit one of these criteria are classified as not in the labor force. Thus, these people are not working but not included in unemployment figures. United States unemployment figures are announced early each month by the Bureau of Labor Statistics. This information is calculated using the Current Population Survey (CPS). About 60,000 eligible households are interviewed—approximately 110,000 individuals each month—and several measures are taken to ensure a representative sampling. The survey excludes people living in institutions (such as correctional facilities, residential nursing care, or mental health facilities), so individuals in these situations who are not working are not represented in unemployment numbers, either. There are other situations in which someone may not be working but is still...

In Arthur Miller's Death of a Salesman , Willy Loman can't grow plants from seeds because he has an inability to succeed. Throughout the play, Willy tries to be successful at the things he does (including being a salesman, a father, a good provider, and a well-liked person), but he fails at each of these. He is misguided in his expectations and cannot face reality; this causes his ultimate downfall and can be considered his fatal flaw. Growing plants from seeds is symbolic of Willy's flaws. Growth of a plant represents prosperity and new life. Willy cannot do something as simple as growing plants, and he recognizes that this shouldn't be that difficult. The repeated failures Willy faces eventually beat him down, and, at the end of the play, he takes his own life as he succumbs to despair. 

I do not think that any Western society has ever been completely Humanist. Humanism, as you likely know, is a school of thought that emerged during the Renaissance in the fifteenth century. It rejected the absolute authority of the Catholic Church, discouraged superstition, and instead, supported the notion that most of civilization's problems could be solved through rationalism. Additionally, Humanists did not see human beings as innately sinful. They elevated humanity -- the beauty of the human mind and human forms, which were depicted and celebrated in the arts and letters of that period. Renaissance painters and sculptors -- most notably, Michelangelo and Leonardo Da Vinci -- espoused Humanist ideas. They surpassed the flat simplicity of painting from the Middle Ages by studying human anatomy and physiology. Their interest in the body allowed for the creation of more realistic forms and movements. Da Vinci went further, using  sfumato in his paintings, a technique that experim...

What do you mean, "the universe"? By many standard theories of cosmology, the universe is infinite, so of course the number of stars is also infinite. Even if it's not infinite, it's probably vastly larger than we can see or ever hope to see. But if you just count the observable universe, which is the part of the universe lying within the cosmic particle horizon, close enough to us that light has had time to reach us since the Big Bang (and due to the expansion of the universe, the cosmic particle horizon is further away from us than simply "age of universe * speed of light"), there are about `10^24` stars, one septillion. ("septillion" sounds made up, but it isn't, except in the way that all words are ultimately made up.) This is so many stars that if you lined them all up in a cube, that cube would be 100 million stars across; assuming an average diameter of 1 million kilometers, even if the stars were somehow touching each other the cube wou...

Social Science refers to any division of science that deals with the social or cultural facets of human behavior. There are a wide number of topics that make up the bulk of the social sciences, and the list is constantly being updated to include new areas of study.  Anthropology: The study of the evolutionary history of human beings, as well as social and cultural behaviors that set humans apart from other animals. Sociology: The broad study of human culture and societies and the factors that cause them to change. Social Psychology: The study of human social and cultural behavior and the factors that influence them. Political Science: The study of governments and the factors that influence them. Economics: The study of the creation, circulation and transfer of wealth. Linguistics: The study of the psychology and social aspects of human language. History: The study and research of past human events.

To simplify the given complex fraction `((3-2x)/x^3)/(2/x^2-1/(x^3+x^2))` , we may look for the LCD or least common denominator. The denominators are `x^3` , `x^2`, and`x^3+x^2` . Note: The factored form of `x^3+x^2 = x^2(x+1)`. LCD is the same as getting LCM from the denominators. We get the product of each factor with highest exponent value, `LCD=x^3*(x+1)` . Multiply each term by the `LCD=x^3*(x+1).` `((3-2x)/x^3*x^3*(x+1))/(2/x^2*x^3*(x+1)-1/(x^3+x^2)x^3*(x+1)) ` `((3-2x)/x^3*x^3*(x+1))/(2/x^2*x^3*(x+1)-1/(x^2(x+1))x^3*(x+1)) ` `((3-2x)(x+1))/(2x*(x+1)-1*x)` `(3x+3-2x^2-2x)/((2x^2+2x)-x)` `(-2x^2+3x-2x+3)/(2x^2+2x-x)` `(-2x^2+x+3)/(2x^2+x)` Final answer: `((3-2x)/x^3)/(2/x^2-1/(x^3+x^2))=(-2x^2+x+3)/(2x^2+x)`

Radio stations are often referred to by the frequency of the waves they produce. In this case, the stations operate at frequencies of 107.1 and 90.5 Mhz (megahertz). To find out which station produces higher energy waves, the relationship between wave frequency and energy must be observed.  In 1900, a physicist named Max Planck did many experiments on waves and discovered many things about the relationships between wavelength, frequency and energy. One of the major formulas to come out of his research was the formula that described the relationship between energy and frequency, E=hf. In this formula, the E stands for energy, f for frequency and h for a special constant (known as Planck's constant). This equation shows that as frequency rises, energy also increases. This means that the station with higher frequency waves has higher energy waves. Therefore, the station that runs at a frequency of 107.1 MHz has waves with higher energy than the station that runs at 90.5 MHz.  

At the Plaza Hotel, Gatsby and Tom Buchanan face off over Daisy. Tom does everything he can to press his class advantage over his rival. First, Tom, a Yale graduate, taunts Gatsby over allegedly being an "Oxford man," which Tom does not believe for a minute. When Gatsby explains that he was only there for five months as part of a World War I armistice opportunity that allowed some officers to study at Oxford, Nick's faith in Gatsby is restored. But upper crust Tom keeps on relentlessly pushing the "class warfare" theme, saying that if Gatsby can make love to Daisy, the next thing will be "intermarriage between black and white." Finally, he says that someone like Gatsby should not be allowed "within a mile" of Daisy unless he is delivering groceries to the back door like a servant. We've known from the beginning that Tom is a snob, but here he openly uses his conviction that Gatsby is lower class to try to separate Daisy and Gatsby. 

Denmark faced a variety of changes when the Germans occupied their country.  Many changes were gradual.  As with other countries during this time, certain things were rationed, and others simply could not be purchased.  During the winter of 1942, there "was no fuel... for the homes and apartments in Copenhagen" and "electricity was rationed."  Cigarettes could no longer be purchased in the stores, and certain foods were unavailable.  These restrictions had a great impact on daily life. After the Germans invaded Denmark, they did not seek to overthrow their government.  King Christian X retained his position, even though other invaded countries had become part of Nazi Germany. Before the Nazi occupation, newspapers had enjoyed freedom of the press according to Danish laws.  After the occupation, Germans censored what the newspapers could publish.   In 1943, there was a shift in German-Danish relations.  The Germans began to make demands and forced changes on the peop...

Gordimer doesn't really get to these devices or her "children's story" until she begins to relate the bedtime story. She begins this story in a very general way, and this serves to suggest that this story is about "any" family in any place or time. It is therefore very accessible to many families: In a house, in a suburb, in a city, there was a man and his wife who loved each other very much and were living happily ever after. They had a little boy and they loved him very much. They had a cat and a dog that the little boy loved very much.  Note the simplicity. This is a simple description of a loving family living "happily ever after." This phrase clearly echoes the most famous final line of many fairy tales. The most famous opening line, "once upon a time," only occurs as the story's title. Still, this opening paragraph about the family almost conjures that phrase in the reader's mind. There are typical fairy tale phrases and a s...

According to Napoleon, the hens have to give up their eggs because he signed a contract to provide someone named Whymper with 400 eggs a week. Napoleon says this is necessary to raise money to buy enough grain and meal to keep the farm functioning until summer, after which time life will get easier. Later, however, the quota rises to 600 eggs a week. This comprises more or less all the eggs the hens produce, so they can barely hatch enough to keep their population level. Napoleon says their sacrifice is needed to raise money to rebuild the windmill. Meanwhile, the text also notes that the pigs live comfortably and are putting on weight. Therefore, we can assume selling the eggs, which the hens regard as a murder, was not strictly necessary but rather a way to keep the pigs living well. 

Why is anything controversial? Because people disagree about how they think the world should be. Part of what makes feminism controversial is that different people seem to define it differently. The most basic definition is "women should have equal rights to men", which used to be highly controversial (and still is in some parts of the world), but at least within First World countries is largely accepted and agreed upon. There are also much stronger, more specific definitions that fall under the umbrella of "feminism", which can include everything from legal abortion to affirmative consent laws. Many of these more specific policies are where the real controversy lies: Simply agreeing in principle that women deserve equal rights doesn't necessarily convince you that abortion should be legal under all circumstances. They aren't wholly unrelated, but additional premises are needed to tie them together, and that fact often gets ignored. But part of what makes fe...