To Kill a Mockingbird Plot Overview - Free Essay Example

Sample details Pages: 10 Words: 3074 Downloads: 1 Date added: 2019/02/20 Category Literature Essay Level High school Tags: To Kill a Mockingbird Essay Did you like this example? The novel To Kill a Mockingbird take places in the sleepy Alabama town of Maycomb where the Finches live. The narrator of the story is the youngest child of the two children of the Finches, a little girl named Jean Louise Scout Finch. The story is happening during the time of the Great Depression. Don’t waste time! Our writers will create an original "To Kill a Mockingbird: Plot Overview" essay for you Create order Scout lived with her father and her brother. Her father, Atticus Finch is a lawyer with high moral standards at the time. Her brother, Jeremy Atticus â€Å"Jem† Finch who is four years older than her is a curiously and athletic young boy. Her family is considered wealthy compared to others. One Summer, Scout and Jem met up with Dill, Charles Baker â€Å"Dill† Harris a boy come to the neighborhood on summer, and become friend with him. They play together and exchanged stories. Dill got hooked by the mysterious of the story about Boo Radley, Arthur â€Å"Boo† Radley a mystery of the town. The next summer Dill came back, and three were trying to take a look at Boo this time but got stopped by Atticus. He told them to think from another person’s perspective before they do anything. But, on Dill’s last day of summer at Maycomb, the three of them sneaked into the Radleys property and got a warning shot by Nathan Radley, Boo’s brother. They immediately escape from there but Jem’s pants got stuck and left back at the Radleys fence. When he gets back to take it the pants was mended where its torn and neatly folded hanging over the fence. Scout goes to school for the first time that fall and she hates it. The following winter, Scout and Jem also experience another mystery consider to be Boo Radley. They consistently found a mysterious gift from a certain tree’s knothole near the Radley house. When they tried to communicate with the mystery giver by leaving a note at the tree, they find themselves looking at Boo’s brother plugged up th e knothole with cement the next day. On the coldest time of winter, Miss Maudie Atkinsons house catches on fire, Scout’s favorite neighbor. While she and Jem, shivering, watching Miss Maudie’s house burning to the ground near Boo Radley house, someone gave her a blanket over her shoulders. When she comes back home she then found out it was likely Boo Radley who gave her the blanket. Atticus take a case to his hands. He, as a lawyer of the town, has been appointed to be a defender for a black man named Thomas â€Å"Tom† Robinson who has been accused of raping a while young lady named Mayella Violet Ewell. She is from the Ewell family which is a low layer citizen, some even call them â€Å"trash†, of the town. Because of this, the Finches received harsh criticism from some heavily racist of Maycomb. Despite knowing this case is almost impossible to win, the white jury at the time will never believe a black man’s words over a white girl’s, Atticus took the case it. He knows Tom is innocent and against all the odds he still wants to prove it. When Atticus, Jem, and Scout came to the family Christmas gathering Scout beat up her cousin Francis when he called her father a â€Å"nigger-lover† and that he is ruining the family name. Calpurnia, the Finches black cook, took Scout and Jem to a local black church, there were some shocked bu t at the end, they warmly embraced the children. At Maycomb, Jem cut off the tops of an old neighbor ladys, Henry Lafayette Dubose, bushes. He got punished by Atticus for this and he has to read for her out loud six days a week, two hours per day, for a month. When Mrs. Dubose died Atticus revealing to Jem that he was helping her to break her morphine addiction. Atticus has shown him that what Mrs. Dubose is what real courage is, the will to fight a fight that you knew you can’t win, and not a man with a gun. The next summer, Atticus’s sister, Alexandra â€Å"Aunt Alexandra† Hancock, come to live with the Finches. She is a proper and old fashion lady, and she wants to shape Scout into a Southern feminine ideal woman like her. At this time Dill ran away from his family to Maycomb, because of his mother and new father don’t seem interested in him. He stayed at the Finches house when Tom’s trial getting close. The night when Tom moved into the county jail to receive the trial. Atticus guarded outside the jail to prevent the possibility of lynching. Jem and Scout caught up to a hunch and sneak out of the house, Dill followed them, to check on their father. While they were looking at Atticus, a mob gathers in front of the jail door and told Atticus to let them lynch Tom and also threaten Atticus. Jem senses som ething and ran to Atticus along with the others. Jem recognized one of the men from the mob and asked politely about his son, and thanks him. This made the man answer to her and bring the crowd out of their mob mentality, and dispersing the mob. The trial has come, Atticus told the children to stay home but sneak out to the court and got a sit in the â€Å"colored balcony† along the black community. The court started with the Ewell family telling the story as Tom got called by Miss Mayella to do some work, but instead of doing the work Tom jumped on her forcefully beat her up and rape her. Then ran when her father, Robert E. Lee â€Å"Bob† Ewell, appeared. Tom told a different version of the story as Miss Mayella tried to kiss her by hugging him from behind and this made him scared and ran away while her father burning in rage when he saw it. The Ewells testified that Tom beat Mayella by his left arm but in reality, Tom left has been dysfunctional from a long time ago due to an accident. Tom’s innocent was clearly shown by this. Atticus call out for everyone in the court as they should not be blind by racism and they should do what is right. But still, all of the white-jury pronounced Tom is guilty. While Atticus told Tom that there is still a high chance the higher up of the country will believe his innocent and let him free, but Tom couldn’t wait and tried to escape out of jail. Tom was shot to death. This incident made Jem doubt about heavily justice around him. After the court, Bob Ewell loses his job. This brings Bob to tried to get back on everyone connected to the court. He threatening Atticus that he will not let him be for humiliated him in the court and vows revenge. He also tried to break into the Judge’s, Mr. John Taylor, house. He even attempted to do something to Tom’s wife but couldn’t because of Tom’s former employer, Mr. Link Deas, said that he will put him in jail if he tries to walk near her or his property. On Halloween, Scout and Jem go to a Halloween party but on their way home, they heart someone follows them. It was Bob Ewell, he tried to take revenge on the Finches children. He knocked Jem unconscious and tried to stab Scout with a knife but got stop by Boo Radley. While struggle with Boo and receive a fatally wound. Scout and Jem went back to their him with Boo carrying Jem. Atticus took care of Jem and called the doctor and rep ort this to the police. Mr. Tate comes back after investigating the scene and said that Bob is dead. This made Atticus consider for a court for his son and Boo’s legal defense but Mr. Tate stops him. They arguing and Mr. Tate says he might be not much but tonight Bob Ewell fell on his knife, then went away with his car. Atticus sat down and ask Scout does she understand what just happened. She said that she understands that Mr. Tate was right. Atticus surprise and asked her what did she mean. She says that it’d be like shooting a Mockingbird. Atticus regain his smile and thank Scout. Scout then walks Boo home while imagining how Boo views this town, she and her brother. Boo went inside his house and never appear in front of Scout again. But to Scout, he is now a human being, a kind one, and not a scary mystery of Maycomb. She then went back home and let Atticus read for her till she sleeps. 2. Focused Character 2.1. Jean Louise â€Å"Scout† Finch In To Kill a Mockingbird, Jean Louise â€Å"Scout† Finch is the narrator of the story. She is an American wh ite girl. The story begins with Scout being six years old. She lives with her father, her brother, and their black cook in Maycomb. She is intelligent and be able to make logical conclusions inside her head were clearly the influent of her father, Atticus. We could considerate that Scout is more intelligent compared to the kids her age and is a tomboy girl by the standard of Maycomb. Even so, Scout is naive and extraordinary curious about her surround because of her inexperience. This cause Scout often fights with her brother Jem. Scout character changed over time by the teaches of her father and interact with her surround. She believes in justice but it got shattered when her father loses the court of Thomas â€Å"Tom† Robinson. This changed her point of view and made she rethinks every action she took. In the beginning, Scout is an iconic tomboy where she solves everything with her fist. The part where she jumps on Walter Cunningham when the teacher mad at her, made the reader feel how Scout is just like every child blame on others, not themselves. Her rough image as a ‘let the fist do the talking’ is strongly appear here when she doesn’t scream or crying but just go straight to pick her fist as a solution resolver. This habit became rather sad when she hit Dill just because he didn’t pay attention to her. It is as if she still doesn’t know how to express her feeling in another way. But it is also made her strong a nd bravery, like how she decided jumps into the lynch mob to save her father. Even so, these behaviors made her father, Mr. Atticus, worries from the beginning of the story. Atticus needs to step in and talk to her when she started another fight with the subject about him. When he asked her to not fight and endurance it. Scout’s respect for her father is so strong that it could make her conceals her own personality when she dropped her fist and walk away from a fight. She even feels noble just because she did what he ask him for three weeks, without the need of praise from Atticus. After experience three weeks of no violent Scout grown up as a bit. She learned that not everything needs to solve by her fist, but she showed us that she still not entirely throw the ideals all away when she said she would fight anyone who dares to pick a fight with her. As a tomboy as Scout is she still has a hard time when its come to get except by social. When Aunt Alexandra comes live with the Finches she forced Scout to change into an elegant lady. Her Aunt changed Scout clothes from pants to skirt made it hard to run, climb the tree or fight like the way she was before. Scout was angry and rebel against her aunt but after the courthouse of Tom, she starting t o see the role of an elegant woman in a new light. By looking at her role model Aunt Alexandra and Miss Maudie shocked at the dead of Tom but still could get over it and calmly having a tea party, not bursting into tears. Scout now look at the role of a lady is to have courage than just wearing girly dresses or cooking in the kitchen. The willpower that just likes of her father’s, the person she respects the most. This erases the hate of Scout for her gender. Scout’s personality developed the most when it comes to the story with Boo Radley. At first, she is curious about his existent and fear of the unknown at the same time. As the story moves on Scout started to interact with Boo more, like when they receive gifts from him in the knothole of the Radley tree or when Boo gave her a wear in the cold winter, and this changed her feeling about the person named Boo Radley. Its changed from blindly scare of the unknown to think about the unknown. Scout started to wonder what is the characteristic of Boo and what is he think stayed inside the house for years. After the courthouse of Tom, Scout has known what seen real evil, made she think on her own about the monster everyone called Boo, among human. She then under that Boo is no monster, not like the monster she saw, but just a poor man. When Boo Radley saved her brother from Mr. Bob Ewell, she realizes that the person everyone called a monster and fear was just a kind man. She at the be ginning was just like others who believe in gossip and rumor changed her ideas and understand about the world. The four years of Scout wrote in the book, show us the rapid change of a child in their growing process. Scout was just a tomboy girl, kicking and punching, made her fist do the talking at the start. Then changed to a girl who thinks that not everything needs to solve by her fist. Scout’s hates for her gender as a weakling lady changed to the image of respectable strong and determined, the strength of willpower and composure like Atticus. She realizes what is think is rightful and justice are not always true, the world is not just black and white of kind neighbor and evil Boo, but it is complicated. She needs to see it with her eyes and think to truly understand it. The character Jean Louise â€Å"Scout† Finch has been described as if she is the evolution that human needed at the time. The equal in races and the logical head to think before judge others. We could understand that Scout made the right conclusion for everything she experience and induce. Also, we could see that Harper Lee intentions are everywhere in Scout eyes. 2.2.Jeremy Atticus â€Å"Jem† Finch Jeremy Atticus â€Å"Jem† Finch is ten years old when the story started, 4 years apart fro m his sister. He is a typical American boy who interests in football and guns. As a child of Atticus, he is composure and smart. But still, as a child, he is naive and inexperienced about the world. He also shows his emotional side when he misses his mom or shock about the court of Tom. Jem’s character changes through the eyes of the narrator, his sister, Scout. As a big brother, he is calmer than Scout, he stops Scout fights. He usually plays with Scout but when the story moves on he stops playing with her. Still, as her brother, he looks after her but in a bossy way. His ideas about justice, evil and goodness, shattered due to the trial of Tom. This makes he became extremely emotional when Scout mention the subject. At the same time, it made him understand the true meaning of the society, the mass decide the truth. At the begging of the story, Jem is described as a brave kid. He a typical American boy who never back down on a daring challenge. He prefers physical bravery and holds no pride for his father who never plays sports or possesses a gun in front of him. He believes that to earn respect one must always show other his strong side. This idea changed when he saw At ticus take out the mad dog with a gun, then learned that his father was Maycomb best shooter. He now learned that humble is more important than pride. Then, he comes to interact with Mrs. Dubose for a month. When he learned she was fighting her own battle against drugs, his ideas about true bravery changed again. He learned that besides bravery, physical, there is also courage, mental. Atticus teaches him to not holds the idea of a man holding a gun is brave but a woman who took a fight that she can’t win is one. Jem still believes that this world is only about right or wrong, and the right always win. The night when Atticus watched Tom jail. He saw his father bravely stand alone against the racists, the lynch mob. He also saw his sister was the first one who ran to protect their father. The idea about the good will win enforced when he saw his sister dis group the mob. When the court of Tom ends, his ideas about the world changed. He has seen real evil in plain sight and saw the justice lose. He learned that what the mass believe will become the true, and one individual can’t easily win against it. This became a bit of a trauma for him, but at the same time strengthened his understanding of society. Through the eyes of Scout, we see Jem mature through time but got shaped by his father. As the story progress, we can see that Scout does not think much about his brother but we can still conclude that Jem learned that bravery is not just about physical but also about the courage to took a fight that one can’t win. He learns physical â€Å"bravery† need the mental â€Å"courage† too. Finally, he learned that the world is not about just black and white. That to be like his father, he needs to have the courage to fight against all odds. He graduates from a naive young boy to a mature man who understands the complicated problem of the world.

Genetically Modified Organisms Help Make A Stronger And...

GMOs or genetically modified organisms are used to help make a stronger and improved organism. A positive aspect of GMOs is that it allows more of something to be made. A great example would be food. With certain foods being genetically modified more of said food is available to others. The population of Earth is rising which means more food need to be made. Without food that is modified there may not be enough food to feed the world. Another positive to GMOs is that it can be altered to have more benefits for the consumer. An example of this would be altering the health benefits a food has. If a food offered little to no vitamins a modification is available to add more nutritious values into it. One issue with GMOs is that has not been thoroughly investigated. There are fears that genetically modified organisms could have more risks than good. For example, some of the potential environmental and health risks include genetic erosion, plant vulnerability to disease, and food allergies (Du and Rachul). Though there are many pros and cons to GMOs the opinion of some consumers remains neutral (Marris). GDP or Gross Domestic Product is the value of goods and services created in a country. GDP is used to indicate how the economy is going to a country. At times, GDP is used to indicate prosperity, advance, and quality of life but this is incorrect because some factors are not added within the indication (Novà ¡cek). For example, it does not factor in housework or non-reportedShow MoreRelatedGenetically Modified Organisms, Also Known As Gmo’S, Are1491 Words   |  6 PagesGenetically modified organisms, also known as GMO’s, are important to today’s society because they bring more food to more people at a cheaper price. If a crop is a GMO, it means that its DNA sequence has been altered in a lab. 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The detonation of GMOs, according to the Institute for Responsible Technology, is â€Å"the resultRead MoreEssay Genetically Modified Foods1678 Words   |  7 PagesIntroduction Let’s face it, the term genetically modified (GM) foods is not the most appetizing word in the English language and neither is the term genetically engineered foods for that matter. Whether or not you realize it, you have consumed at least one product that contains genetically modified foods. These â€Å"modified foods† are hiding all over your supermarkets and in some instances, there is no way to tell just by looking at it. But, they have been around for more than two decades and it has

Mathematics in Cryptology Free Essays

Cryptology is the procedure of writing by means of a variety of methods to keep messages secret and includes communications security and communications intelligence. The cryptologic (code making and code breaking) and intelligence services provide information to both tactical forces and Navy commanders. Shore-based intellect and cryptologic operations engage the compilation, handing out, analysis, and reporting of information from a lot of sources, from communications intelligence to human intelligence. We will write a custom essay sample on Mathematics in Cryptology or any similar topic only for you Order Now This information is used to assess threats to the Navy and to the protection of the United States. Tactical intelligence, more often than not provided by ships, submarines, and aircraft, gives combat commanders indications and warning of impending opponent activity and assessments of ongoing hostile activity and capabilities. The start of the 21st century is a golden age for applications of mathematics in cryptology.   The early stages of this age can be traced to the work of Rejewski, Rozycki, and Zygalski on breaking mystery. Their employment was a breach in more than a few ways.   It made a marvelous realistic input to the conduct of Word War II.   At the same time, it represented a major increase in the sophistication of the mathematical tools that were used.   Ever since, mathematics has been playing a progressively more important role in cryptology. This has been the result of the dense relationships of mathematics, cryptology, and technology, relationships that have been developing for a long time. At the same time as codes and ciphers go back thousands of years, systematic study of them dates back only to the Renaissance.   Such study was stimulated by the rapid growth of written communications and the associated postal systems, as well as by the political fragmentation in Europe. In the 19th century, the electric telegraph provided an additional spur to the development of cryptology. The major impetus, despite the fact that, appears to have come with the appearance of radio communication at the beginning of the 20th century. This technical development led to growth of military, diplomatic, and commercial traffic that was open to non-intrusive interception by friend or foe alike.   The need to protect such traffic, from interception was obvious, and led to the search for improved codes and ciphers.   These, in turn, stimulated the development of cryptanalytic methods, which then led to development of better cryptosystems, in an endless cycle.   What systems were built has always depended on what was known about their security, and also on the technology that was available. Amid the two world wars, the need for encrypting and decrypting ever-greater volumes of information dependably and steadily, combined with the accessible electromechanical technology, led many cryptosystem designers towards rotor system.   Yet, as Rejewski, Rozycki, and Zygalski showed, the operations of rotor machines created enough regularities to enable effective cryptanalysis through mathematical techniques.   This was yet another instance of what Eugene Wigner has called the â€Å"unreasonable effectiveness of mathematics,† in which techniques developed for abstract purposes turn out to be surprisingly well-suited for real applications. The sophistication of mathematical techniques in cryptography continued increasing after World War II, when attention shifted to cryptosystems based on shift register sequences.   A quantum jump occurred in the 1970s, with the invention of public key cryptography. This invention was itself stimulated by technological developments, primarily the growth in information processing and transmission.   This growth was leading to explosive increases in the volume of electronic transactions, increases that show no signs of tapering off even today, a quarter century later. The large and assorted populations of users that were foreseen in developing civilian settings were leading to problems, such as key management and digital signatures that previously had not been as severe in smaller and more tightly controlled military and political communications.   At the same time, developments in technology were offering unprecedented possibilities for implementing complicated algorithms.   Mathematics again turned out to provide the tools that were used to meet the challenge. The public key schemes that were invented in the 1970s used primarily tools from classical number theory.   Yet as time went on, the range of applicable mathematics grew.   Technology continued improving, but in uneven ways.   For example, while general computing power of a personal computer grew explosively, there was also a proliferation of small, especially wireless devices, which continued to have stringent power and bandwidth limitations.   This put renewed emphasis on finding cryptosystems that were thrifty with both computation and transmission. At the same time, there was growth in theoretical knowledge, which led to breaking of numerous systems, and required increases in key sizes of even well trusted schemes such as RSA. The outcome of the developments in technology and science is that today we are witnessing explosive growth in applications of sophisticated mathematics in cryptology.   This volume is a collection of both surveys and original research papers that illustrate well the interactions of public key cryptography and computational number theory. Some of the systems discussed here are based on algebra, others on lattices, yet others on combinatorial concepts.   There are also some number theoretic results that have not been applied to cryptography yet, but may be in the future.   The diversity of techniques and results in this volume does show that mathematics, even mathematics that was developed for its own sake, is helping solve important problems of our modern society.   At the same time, mathematics is drawing valuable inspiration from the practical problems that cryptology poses. The recent breakthrough discovery of public key cryptography has been one (but not the only) contributor to a dramatic increase in the sophistication and elegance of the mathematics used in cryptology. Coding theory enables the reliable transmission and storage of data. Thanks to coding theory, despite dramatic increases in the rates and volumes of bits transmitted and the number of bits stored in computers or household appliances, we are able to operate confidently under the assumption that every one of these bits is exactly what it is supposed to be. Often they are not, of course, and the errors would be catastrophic were it not for the superbly efficient detection and correction algorithms clever coding theorists have created. Although a number of incessant mathematics has been employed (notably, probability theory), the bulk of the mathematics involved is discrete mathematics. Nevertheless, in spite of the strong demonstration that cryptology and coding theory provide, there is little understanding or recognition in the mainstream mathematics community of the importance of discrete mathematics to the information society. The core problems in applied mathematics after World War II (e.g., understanding shock waves) involved continuous mathematics, and the composition of most applied mathematics departments today reflects that legacy. The increasing role of discrete mathematics has affected even the bastions of the â€Å"old† applied mathematics, such as the aircraft manufacturers, where information systems that allow design engineers to work on a common electronic blueprint have had a dramatic effect on design cycles. In the meantime, mathematics departments seem insulated from the need to evolve their research program as they carry on providing service teaching of calculus to captive populations of engineering students. However, the needs of these students are changing. As mathematicians continue to work in narrow areas of specialization, they may be unaware of these trends and the appealing mathematical research topics that are most strongly connected to current needs arising from the explosion in information technology. Indeed, a great deal of important and interesting mathematics research is being done outside of mathematics departments. (This applies even to traditional applied mathematics, PDE’s and the like, where, as just one example, modeling has been neglected.) In the history of cryptology and coding theory, mathematicians as well as mathematics have played an important role. Sometimes they have employed their considerable problem-solving skills in direct assaults on the problems, working so closely with engineers and computer scientists that it would be difficult to tell the subject matter origins apart. Sometimes mathematicians have formalized parts of the problem being worked, introducing new or classical mathematical frameworks to help understand and solve the problem. Sophisticated theoretical treatments of these subjects (e.g., complexity theory in cryptology) have been very helpful in solving concrete problems. The probable for theory to have bottom-line impact seems even greater today. One panelist opined, â€Å"This is a time that cries out for top academicians to join us in developing the theoretical foundations of the subject. We have lots of little results that seem to be part of a bigger pattern, and we need to understand the bigger picture in order to move forward.† However, unfortunately, the present period is not one in which research mathematicians are breaking down doors to work on these problems. Mathematicians are without a doubt needed to generate mathematics. It is less clear that they are indispensable to its application. One panelist pointed out that there are many brilliant engineers and computer scientists who understand thoroughly not only the problems but also the mathematics and the mathematical analysis needed to solve them. â€Å"It’s up to the mathematics community,† he continued, â€Å"to choose whether it is going to try to play or whether it is going to exist on the scientific margins. The situation is similar to the boundary where physics and mathematics meet and mathematicians are scrambling to follow where Witten and Seiberg have led.† Another panelist disagreed, believing it highly desirable, if not necessary, to interest research mathematicians in application problems. â€Å"When we bring in (academic research) mathematicians as consultants to work on our problems, we don’t expect them to have the same bottom-line impact as our permanent staff, because they will not have adequate knowledge of system issues. However, in their effort to understand our problems and apply to them the mathematics with which they are familiar, they often make some unusual attack on the problem or propose some use of a mathematical construct we had never considered. After several years and lots of honing of the mathematical construct by our ‘applied mathematicians,’ we find ourselves in possession of a powerful and effective mathematical tool.† During the late 1970s, a small group of bright educational cryptographers proposed a series of elegant schemes through which secret messages could be sent without relying on secret variables (key) shared by the encipherer and the decipherer, secrets the maintenance of which depended upon physical security, which in the past has been often compromised. Instead, in these â€Å"public key† schemes, the message recipient published for all to see a set of (public) variables to be used by the message sender in such a way that messages sent could be read only by the intended recipient. (At least, the public key cryptographers hoped that was the case!) It is no exaggeration to say that public key cryptography was a breakthrough â€Å"of monumental proportions,† as big a surprise to those who had relied on conventional cryptography in the sixties as television was to the public in the fifties. Breaking these â€Å"public key† ciphers requires, or seems to require, solutions to well-formulated mathematical problems believed to be difficult to solve. One of the earliest popular schemes depended on the solution of a certain â€Å"knapsack† problem (given a set of integers and a value, find a subset whose constituents sum to that value). This general problem was thought to be hard (known to be NP- complete), but a flurry of cryptanalytic activity discovered a way to bypass the NP-complete problem, take advantage of the special conditions of the cryptographic implementation and break the scheme, first by using H. Lenstra’s integer programming algorithm, next using continued fractions, later and more effectively by utilizing a lattice basis reduction algorithm due to Lenstra, Lenstra and Lovasz. Although many instantiations of public key cryptographies have been proposed since their original discovery, current cryptographic implementers seem to be placing many of their eggs in two baskets: one scheme (Rivest-Shamir-Adleman, RSA), whose solution is related to the conjectured difficulty of factoring integers, the second, (Diffie-Hellman, DH), which is related to the conjectured difficulty of solving the discrete logarithm problem (DLP) in a group. The discrete logarithm problem in a group G, analogous to the calculation of real logarithms, requires determination of n, given g and h in G , so that gn = h. Each of the past three decades has seen momentous improvements in attacking these schemes, although there has not yet been the massive breakthrough (as predicted in the movie â€Å"Sneakers†) that would send cryptographers back to the drawing boards. The nature of these attacks leads some to suspect that we may have most of our eggs in one basket, as most improvements against RSA seems to correspond to an analogous idea that works against the most common instantiations of DH (when the group is the multiplicative group of a finite field or a large subgroup of prime order of the multiplicative group) and vice versa. Asymptotic costs to attack each scheme, although each has declined as a consequence of new algorithms, continue to be comparable. These innovative algorithms, along with improvements in computational power, have forced the use of larger and larger key sizes (with the credit for the increase split about equally linking mathematics and technology). As a result, the computations to implement RSA or DH securely have been steadily increasing.Recently, there has been interest in utilizing the elliptic curve group in schemes based on DLP, with the hope that the (index calculus) weaknesses that have been uncovered in the use of more traditional groups will not be found. It is believed, and widely marketed, that DLP in the group of points of non-super singular elliptic curves of genus one over finite fields does not allow a sub-exponential time solution. If this is true, DH in the elliptic curve group would provide security comparable to other schemes at a lower computational and communication overhead. It may be true, but it certainly has not yet been proven. There are connections between elliptic curve groups and class groups with consequences for the higher genus case and extension fields. In particular, Menezes, Okamoto and Vanstone showed how the Weil pairing gave a better method for solving DLP for a particular class of elliptic curves, the supersingular ones. These are curves of order p+1, and DLP is reduced to a similar problem in GF(p2), where it can be more effectively solved. Work continues in an effort to extend these results to the general curve group. A related problem in elliptic curve cryptography focuses attention on another possible exciting interplay between theoretical mathematics, computer science (algorithms) and practical implementation. Calculation of the order of the elliptic curve group is not straightforward. Knowing the order of their group is very important to DH cryptographers, since short cut attacks exist if the order of the group factors into small primes. Current elliptic curve cryptosystem proposals often employ a small class of curves to circumvent the counting problem. Even less progress has been made on the more general problem of whether there exist any groups whose DLP is exponential and, if so, characterizing such groups. Another interesting problem is whether solving DLP is necessary as well as sufficient for breaking DH. There are some groups for which this is known to be true, but determining whether this is true for all groups, or characterizing those groups for which it is true, remains to be done. A third interesting general DH problem is â€Å"diagnosis† of the DH group (when one has intercepted both ends of DH exchanges and does not know the group employed). For this reason, cryptology is a traditional subject that conventionally guaranteed (or sought to undo the guarantee of) confidentiality and integrity of messages, but the information era has expanded the range of applications to consist of authentication, integrity and protocols for providing other information attributes, including timeliness, ease of use of service and protection of intellectual property. Cryptology has at all times been a charming and an exciting study, enjoyed by mathematicians and non-mathematicians the same. How to cite Mathematics in Cryptology, Essay examples

Diversity in Families The Griffins - Family Guy

Questions: 1. Television Show? 2. Explanation of the show? 3. Similarities between families of serial and real life? 4. TV Families and Myths about families? 5. Functionalism of myths? 6. Way of shaping the family? 7. Taught from Show? Answers: 1 Television Show I usually watched a TV serial or show called The Griffins,Family Guy. The family of the show consist a parent including two children. According to the show both children obey the guidelines of their parents and put a great lesson for everyone (Griffin and Hargis). The coordination is significant between the family members, so they fight against any problems. On the other hand, the parents are playing an essential role in the TV show and they have full respect for each other. 2 Explanation of the show TV show family is socially very helpful. There were many problems faced by this family, for example, one day Mr. Griffin lost his job due fraud case but the actual reason was completely different. One day he saw that his boss was talking with someone and ordered to kill Mr. Brown. Unfortunately, at that he entered into the cabin of his boss and pay for his unnatural behavior. After a long fight the TV show family got the justice and his boss was arrested by police (Flaherty). In terms of gender roles, they have full faith and trust for each other. According to the TV family experience the gender roles recognize the root of a problem and resolved it with care. Moreover, the gender roles interact with each other in a smooth manner. The social class also influences some problems and solutions in the family. For an example, a man who worked in the family as a servant is facing some trouble due to lack of money (Brown). The head of the family understand the problem of the man and helped t hem with money. 3 Similarities between families of serial and real life Talking about my family, I have a loving parent and two elder brothers. My family structure is very much similar to TV show family. Just like Mr. Griffin loves his children my father also loves us very much. The relationship with my brothers is very strong and we trust each other like the TV show family but our family concludes some factors which are not similar with TV show family such as my father do not give me extra money. Not only that my brothers always hang up with their friends but they do not include me (Hampton). 4 TV Families and Myths about families In terms of Myth, the TV show family had to face a disaster incident which was discussed in the early paragraph, the legal trouble. Another myth was financial problem during jobless status of Mr. Griffin. The family had to face many financial problems. However, they fought against situations with the help of each other and recover after a specific time (Johnson). They had overcome all the myths like financial and legal and make their family happy again. 5 functionalism of myths According to the myths that showed in the show it is obvious that a family can be in problem at any time. So, the support and trust should be there to face the issues. In fact, the families should be aware of all kinds of legal issues that might harm them and affect their families future. Even the financial problem is also a similar problem shih can be caused at any time for the family that runs on a job. If suppose the head lost the job or face any financial issues, they should help each other and the head should make the entire family member aware of the condition/to sustain safely. 6 way of shaping the family From the serial I came to know that the family should be shaped with trust. Also the family must be supportive to each other. 7 taught from Show The TV show also helps to improve the relationship between the family members and they teach how to respect presents and other elder members of the family. This assignment teaches me a useful lesson that is always has faith in our family and never breaks the family (O'Gara). Should keep trust on our family members and support them. References Brown, Scott T. Family Reformation. Wake Forest, N.C.: Merchant Adventurers, 2009. Print. Flaherty, Liz. TV Show. Clayton South, Vic.: Blake, 2009. Print. Griffin, Larry J, and Peggy Griffith Hargis. Social Class. Chapel Hill: University of North Carolina Press, 2012. Print. Hampton, Brenda. The Reunion Show Reality TV Drama. Print. Johnson, Victoria E. Heartland TV. New York: New York University Press, 2008. Print. O'Gara, John D. Corporate Fraud. Hoboken, N.J.: Wiley, 2004. Print.