Determining If a Number Is Prime

Deciding whether a Number Is Prime A prime number is a numeral that is more prominent than 1 and can't be separated equitably by some other number aside from 1 and itself. In the event that a number can be isolated uniformly by some other number not including itself and 1, it isn't prime and is alluded to as a composite number. Elements versus Products When working with prime numbers, understudies should realize the distinction among elements and products. These two terms are effortlessly befuddled, yet factors are numbers that can be partitioned equitably into the given number, while products are the aftereffects of duplicating that number by another. Furthermore, prime numbers are entire numbers that must be more prominent than one, and therefore, zero and one are not viewed as prime numbers, nor is any number under zero; the number two is the primary prime number, as it must be separated without anyone else and the number 1. Utilizing Factorization Utilizing a procedure called factorization, mathematicians can rapidly decide if a number is prime. To utilize factorization, you have to realize that a factor is any number that can be duplicated by another number to get a similar outcome. For example, the prime components of the number 10 are 2 and 5 on the grounds that these entire numbers can be increased by each other to rise to 10. In any case, 1 and 10 are likewise viewed as elements of 10 since they can be increased by each other to rise to 10. This is communicated in the prime variables of 10 as 5 and 2 since both 1 and 10 are not prime numbers. A simple route for understudies to utilize factorization to decide whether a number is prime is by giving them solid checking things like beans, fastens, or coins. They can utilize these to partition objects into ever-littler gatherings. For instance, they could partition 10 marbles into two gatherings of five or five gatherings of two. Utilizing a Calculator In the wake of utilizing the solid strategy as depicted in the past segment, understudies can utilize adding machines and the idea of detachability to decide if a number is prime. Have understudies take an adding machine and key in the number to decide if it is prime. The number should separate into an entire number. For instance, take the number 57. Have understudies isolate the number by 2. They will see that the remainder is 27.5, which isn't a considerably number. Presently have them partition 57 by 3. They will see that this remainder is an entire number: 19. In this way, 19 and 3 are components of 57, which is, at that point, not a prime number. Different Methods Another approach to discover if a number is prime is by utilizing a factorization tree, where understudies decide the regular factorsâ of different numbers. For example, if an understudy is considering the number 30, she could start with 10 x 3 or 15 x 2. For each situation, she keeps on considering 10 (2 x 5) and 15 (3 x 5). The final product will yield a similar prime components: 2, 3 and 5 since 5 x 3 x 2 30, as does 2 x 3 x 5. Straightforward division with pencil and paper can likewise be a decent strategy for showing youthful students how to decide prime numbers. To start with, isolate the number by two, at that point by three, four, and five if none of those components yields an entire number. This strategy is valuable to help somebody simply heading out to comprehend what makes a number prime.

A response to the infamous reality television SAT essay prompt

For anyone not familiar with the controversy, the full question, which was given to about a third of test-takers on Saturday 3/12, is as follows (from the website of the Washington Post): â€Å"Reality television programs, which feature real people engaged in real activities rather than professional actors performing scripted scenes, are increasingly popular. These shows depict ordinary people competing in everything from singing and dancing to losing weight, or just living their everyday lives. Most people believe that the reality these shows portray is authentic, but they are being misled. How authentic can these shows be when producers design challenges for the participants and then editors alter filmed scenes? â€Å"Do people benefit from forms of entertainment that show so-called reality, or are such forms of entertainment harmful?   If you just glance at the question, its pretty easy to understand why people are so outraged. But its not actually that simple. Part of the problem is that many people unfamiliar with the SAT are unaware of the difference in importance between the background to the prompt and the prompt itself (in bold).  The background is designed to explain the question, to put it in some context; it is not intended to limit the kind of responses that test-takers can provide. In fact, it can be ignored completely with no ill consequences. If the background consists of a quote by a famous physicist, for example, students are not expected to know anything about physics to answer the question. The same holds true here. The question alone, when read separately from the prompt, is actually a serious question about the relationship between art and life, truth and fiction, and the moral role of entertainment in a society. It of course lends itself quite well to examples about reality TV, but not to the exclusion of other examples, even literary or historical ones. If you look closely at the wording of the question, it asks about forms of entertainment that show, not  television shows. Someone   could easily write about   Michael Moores documentaries, or Norman Rockwells idealized images of American society, or Jenny Fields autobiography in John Irvings  The World According to Garp  (one of my all-time favorite books, and one that works for just about every imaginable SAT essay). It takes a little more thought than usual to come with examples (no, you cant just stick MLK or Hitler into this one), but it can certainly be done. For the record, the College Board has asked questions that can only be answered with contemporary examples before: Should people make more of an effort to be involved in their communities? is one. Is creativity needed more in the world today? is another. No one ever harangued the SAT for pandering to kids who do a lot of community service on the one hand or a lot of art on the other. Though Ill readily admit that this isnt quite the same thing, when you consider only the question itself, its not all that far off either. Im not quite letting the College Board off the hook here, though; even if the question alone was acceptable, the construction of the overall prompt is  just a bit too narrow for comfort. It is, after all, phrased in such a way that people unfamiliar with what the College Board expects of them might feel obligated to write about reality TV, even if thats not the case at all. Its one thing to include a quote by a physicist; its something very different to explicitly refer to popular culture, which most teenagers are in fact familiar with. Someone who doesnt know much about reality TV or the SAT might therefore be inclined to panic, even if he or she is perfectly capable of coming up with one or two decent examples under different, less stressful circumstances. So yes, obviously someone who spends a lot of time watching reality TV is going to have more examples immediately spring to mind than someone who barely watches television. That said, however, the former does not necessarily have an advantage; test-takers who spend most of their time watching reality television are probably going to have far weaker writing skills than those who spend most of their time reading, say, Dickens. And competent writing and an organized structure with decent examples will always win out over great examples combined with a chaotic structure and sloppy writing. But I still think that the College Board screwed up on this one. By attempting to be relevant, however misguidedly so, the College Board has, incredibly enough, made itself an even larger object of scorn. The next time it dips its toe into the arena of the culture wars, it needs to do so a little more carefully. Or better yet, play it safe and keep asking about the nature of heroism and the existence of free will.

The Adventures of Huckleberry Finn by Mark Twain - 872 Words

The Bildungsroman and the Picaresque Traditions in the Lives of Huck and Jim Mark Twain was an author to many great novels; many of which gained international fame. However, none of his novels had as much popularity to the American society as the novel, The Adventures of Huckleberry Finn. In the novel, Twain was able to show many episodic plots that occurred while Huck and Jim were traveling through the Mississippi River. The episodic plots proved the novel to have elements of both the Bildungsroman tradition and the Picaresque tradition. The Bildungsroman tradition and the Picaresque tradition have two entirely different meanings and purposes, but Twain was able to merge these two elements into one novel.. By interweaving the traditions, Twain was able to show us, that the Mississippi River played a real role in the lives of Huck and Jim. The two were able to develop a strong friendship, but Huck was also able to mature as an individual and learned to accept people for who they are and not how society depicts them to be. What is picaresque? Picaresque is an episodic plot that allow the reader to explore many aspects situations that the author can satirized to solve problems. Twain was able to well illustrate to readers that The Adventures of Huckleberry Finn contains many passages of the picaresque tradition. Twain interweaves many uses of picaresque throughout the novel. â€Å"Well last I pulled out some of my hair, and blooded the ax good, and stuck it on the back side,Show MoreRelatedThe Adventures of Huckleberry Finn by Mark Twain830 Words   |  3 PagesThe Adventures of Huckleberry Finn by Mark Twain is â€Å"A Great American Novel†, because of its complexity and richness. Twain writes dialogue that brings his characters to life. He creates characters with unique voice and helps the reader connect to the book. Anyone who reads it is forced to develop feelings for each character. Even though there is a great amount of controversy over the use of some choices, such as the â€Å"n word†, it makes the book more realis tic. In the beginning of the novel Huck,Read MoreThe Adventures Of Huckleberry Finn By Mark Twain1103 Words   |  5 PagesDmitri Van Duine Jr English Mr. Nelson November 27th The Adventures of Huckleberry Finn: Huck Finn and Tom Sawyer The Adventures of Huckleberry Finn, Written by Mark Twain filled his stories with many examples of satire as to convey a message while also writing an interesting story. The Adventures of Huckleberry Finn revolves around the adventures of a young boy called Huckleberry Finn, who is about thirteen years old. Tom Sawyer is Huck’s best friend and around the same age as Huck. He is onlyRead MoreThe Adventures Of Huckleberry Finn By Mark Twain Essay1055 Words   |  5 PagesZambrano Mrs. Patmor AP Lit-Period 5 28 September 2016 Adventures of Huckleberry Finn 1835 Mark Twain embodies realism in almost every aspect of his writing not excluding The Adventures of Huckleberry Finn, which in he portrays such a lifelike setting that it almost gives you this sense of reality through the point of view of a young man that has an urge for freedom yet struggles to conform to society s norms due to his adolescence. Twain s ability to unmask the true identities of the charactersRead MoreThe Adventures Of Huckleberry Finn By Mark Twain931 Words   |  4 PagesWolski Mrs. Goska English 2H Period 3 22 October 2014 The Adventures of Huckleberry Finn Mob mentality is the way an individual’s decisions become influenced by the often unprincipled actions of a crowd. Mark Twain penned The Adventures of Huckleberry Finn. Twain grew up in America’s southern states during the early 1800’s, a time in which moral confusion erupted within the minds of humans. The Adventures of Huckleberry Finn s protagonist is a young boy named Huck who freely travels alongRead MoreThe Adventures Of Huckleberry Finn By Mark Twain1375 Words   |  6 Pagesmention the years spent growing and maturing physically. Teenagers are stuck in an inbetween state where they must learn who they want to become and what they want to be when they grow older. The same is true for Huckleberry Finn, from the book â€Å"The Adventures of Huckleberry Finn† by Mark Twain. This is a book that was written in a time of great confusion over moral codes and standards. It was a world split in half by two different worlds of people; those who opposed, a nd those who promoted slavery.Read MoreThe Adventures Of Huckleberry Finn By Mark Twain2083 Words   |  9 PagesSatire in Huckleberry Finn In the novel â€Å"The Adventures of Huckleberry Finn† by Mark Twain, we are told a story about a young boy and his slave companion’s journey down the Mississippi River and all of their encounters with other characters. Twain constructed a beautiful narrative on how young Huck Finn, the protagonist in the story, learns about the world and from other adult characters, how he is shaped into his own person. At the time this book was made however, this novel provided serious socialRead MoreMark Twain and The Adventures of Huckleberry Finn1575 Words   |  6 Pages Mark Twain and The Adventures of Huckleberry Finn Controversy Mark Twain, born Samuel Langhorne Clemens, is a highly recognizable figure in American literature. Born in Florida, Missouri Mark Twain and his family moved to Hannibal, Missouri where Twain discovered and fell in love with the mighty Mississippi River. The river and his life in Hannibal became his inspiration and guiding light in most of his writing. Although Twain loved the river and did a great deal of traveling, he eventuallyRead MoreThe Adventures Of Huckleberry Finn By Mark Twain1005 Words   |  5 Pages In the Adventures of Huckleberry Finn written by Mark Twain in the 19th century is about a young boy named Huck Finn and Jim, a runaway slave who go on an adventure. The two travel on a raft along the Mississippi river creating a bond and making memories. Mark Twain presents Huckleberry Finn as a dynamic character who at first views Jim as property and eventually considers Jim as a friend, showing a change in maturity. In the beginning of the book, Huck Finn clearly sees Jim as nothing more thanRead MoreThe Adventures Of Huckleberry Finn By Mark Twain1335 Words   |  6 Pagesyear The Adventures of Huckleberry Finn is placed in the top ten banned books in America. People find the novel to be oppressing and racially insensitive due to its frequent use of the n-word and the portrayal of blacks as a Sambo caricature. However, this goes against Mark Twain’s intent of bringing awareness to the racism in America. The Adventures of Huckleberry Finn by Mark Twain is classified under the genre of satire and is narrated by a fictional character named Huckleberry Finn. The novelRead MoreThe Adventures Of Huckleberry Finn By Mark Twain810 Words   |  4 PagesBefore Mark Twain started to write two of his most famous novels, The Adventures of Tom Sawyer and Adventures of Huckleberry Finn, Mark was known to use his characters to display his own thoughts and opinions. â€Å"This device allowed him to s ay just about anything he wanted, provided he could convincingly claim he was simply reporting what others had said.† (Twain, 1283). Mark Twain used this process to be a foundation of his lectures, by manipulating his popularly with his readers. During the story

Plato vs Isocrates Essay - 1747 Words

Plato encouraged in his writings that the view that sophists were concerned with was â€Å"the manipulative aspects of how humans acquire knowledge.† (Lecture) Sophists believed that only provisional or probable knowledge was available to humans but both Plato and Isocrates did not agree with a lot of what the Sophists had to say. They both believed in wisdom and having a connection with rhetoric but vary in defining wisdom in itself. Wisdom for Socrates and Plato is having an understanding of speech, knowledge of truth and being able to question the speaker in order to seek and reveal truth. Isocrates defined wisdom as having a sense of integrity and character along with the ambition and ability to speak well with others. Socrates†¦show more content†¦(167) One who knows knowledge, more so, one who loves wisdom, delivers their wisdom, knowledge and understanding to others. Since wisdom is the understanding of speech, knowing truth and questioning credibility, rhetoric does not produce knowledge. It delivers the knowledge to others. Being wise is being able to recognize and acknowledge the hidden truth of speech and creating a sense of understanding with that knowledge. Socrates and Plato differ from Isocrates by believing that rhetoric, which distributes wisdom, comes from the soul. â€Å"The man whose rhetorical teaching is a real art will explain accurately the nature of that to which his words are to be addressed, and that is the soul.† (163) Ones soul is affected by decisions made by the human form and also by those interacting with the soul. The wise man’s soul contains wisdom, truth and intelligence. Thus, by interacting with a bad soul or a soul with bad intent lowers to soul of a just and wise man. Since rhetoric is distributing knowledge to others, the soul should be used when making hard and uncertain decisions. The soul of a wise person holds ultimate truth and its human form knows how to seek out knowledge and understanding to find ultimate truth by ways of questioning. To the contrary, Isocrates believes that wisdom has nothing to do with the soul and the heavens, for he claims that the gods in the heavens have disputes.

Animal Observation Short Stories Essay Example For Students

Animal Observation Short Stories Essay All of the essays have one thing in common, they all deal with observing animals. And with their observation comes at times interaction. They might mingle with these animals. Or the observers would just sit there and do what they are supposed to, observe.Our race, is naturally curious and interested in the unknown. In other words what we do not know or understand we try to understand. We try to understand our surroundings. In doing this, we would have gained knowledge. In Mowats essay, Observing Wolves, Mowat attempts to make first contact by urinating his territory. And he observes the wolves social structure. He know that the wolves are observing him as well in his essay. And he wonders if they would act the way they do around humans. In Goodalls essay, First Observations, Goodall makes actual physical contact with one of the chimpazees. But she does nothing to try to get closer to them. Instead she goes on a scientific approach towards the situation. She observes the chimpazees actually eating meat. She was extremely surprised because the rest of the world thought that chimpazees were vegetarians. She also observed the chimpazees making the use of tools. Such as sticking a blade of grass into a termite mound to get at the insects. In Booths essay, ;The Social Lives of Dolphins;, Booth draws a parallel between the lives of dolphins and the lives of chimpazees. He compares the two creatures showing their likenesses. With some minor differences. This essay is based on observations of another group as well, who were Conner and Smolker (undergraduate students 1982). With the work of all the observers, it seem that even though we have been on this earth for a million years. We are now just beginning to understand it. The essays seems to say ;We are beginning to understand ourselves.; .

Sunk Cost free essay sample

In economics and business decision-making, sunk costs are retrospective (past) costs that have already been incurred and cannot be recovered. Sunk costs are sometimes contrasted with prospective costs, which are future costs that may be incurred or changed if an action is taken. Both retrospective and prospective costs may be either fixed (continuous for as long as the business is in operation and unaffected by output volume) or variable (dependent on volume) costs. Note, however, that many economists consider it a mistake to classify sunk costs as fixed or variable. For example, if a firm sinks $1 million on an enterprise software installation, that cost is sunk because it was a one-time thing and cannot be recovered once expended. A fixed cost would be monthly payments made as part of a service contract or licensing deal with the company that set up the software. The upfront irretrievable payment for the installation should not be deemed a fixed cost, with its cost spread out over time. We will write a custom essay sample on Sunk Cost or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Sunk costs should be kept separate. The variable costs for this project might include data centre power usage, etc. In traditional microeconomic theory, only prospective (future) costs are relevant to an investment decision. Traditional economics proposes that economic actors should not let sunk costs influence their decisions. Doing so would not be rationally assessing a decision exclusively on its own merits. Alternatively, a decision-maker might make rational decisions according to their own incentives, outside of efficiency or profitability. This is considered to be an incentive problem and is distinct from a sunk cost problem. Evidence from behavioral economics suggests this theory fails to predict real-world behavior. Sunk costs do, in fact, influence actors decisions because humans are prone to loss aversion and framing effects. In light of such cognitive quirks, it is unsurprising that people frequently fail to behave in ways that economists deem rational. Sunk costs should not affect the rational decision-makers best choice. However, until a decision-maker irreversibly commits resources, the prospective cost is an avoidable future cost and is properly included in any decision-making processes. For example, if one is considering preordering movie tickets, but has not actually purchased them yet, the cost remains avoidable.

Reacting to Injustice

Reacting to Injustice Free Online Research Papers HOW DO PEOPLE REACT TO THE INJUSTICES THEY HAVE BEEN VICTIMS OF? Different people react to different injustices in different ways. Some react suddenly without thinking, others react while thinking of the consequences, while still others accept the facts and submit to them. VIOLENT AND ANGRY REACTIONS: In this book, some people react violently, without thinking of the consequences of neither that reaction nor whom they are reacting to. Uncle Hammer is one of them. We can see that when Cassie comes home from Strawberry and tells Uncle Hammer that Mr. Simms threw her off the side-walk, at hearing this, Uncle Hammer becomes really angry and starts towards the Simms house to get revenge. He takes that action without even thinking of the consequences, he becomes emotional and acts under his emotions. He is not wise or calm. Another example is Little Man in the part where he gets his new book and when he reads the inside cover of it, he throws it on the floor and stomps on it. This was an angry and violent reaction to the name, ‘nigger’, which the whites called him and all the blacks. Some people react angrily, saying what they think is right on the white’s faces, like Cassie does in the store in Strawberry. She tells Mr. Barnett that he was ‘â€Å"waiting on them† ’ before he was on the white girl, and that ‘it ain’t fair† to serve the white girl when ‘â€Å"We been waiting on you for near an hour.†Ã¢â‚¬â„¢. She states the facts without understanding and realising the difference the whites make between themselves and the blacks. Moreover she answers back without hesitating and without knowing or thinking what this answer or this reaction might cost her. Mr. Morrison is another example of angry reactions, when we find out that he had a fight with a white on the railways, and because of which he was fired. WISE AND CALM REACTIONS: However, other people in this story react quite differently. Papa, for example, reacts wisely and calmly, always thinking of the consequences. He fights back, but not in a violent or aggressive way. He says to Cassie that ‘â€Å" there’ll be a whole lot of things you ain’t gonna wanna do but you’ll have to dojust so you can survive.’† But he tells her that; on the other hand, ‘â€Å"there are things you can’t back down on, things you gotta take a stand on.†Ã¢â‚¬â„¢ From this we can note that Papa rebels, but silently and calmly. He doesn’t allow his emotions to take the better of him. We see that when he stops going to the Wallace’s store and instead goes to Vicksburg. Another example is Stacey where he gets revenge on the bus driver for splashing them with dirty water and the white children inside who always laughed and jeered at them. He and the others dig a pit in the middle of the road where later the bus falls. Stacey gets his revenge; he rebels, but silently and wisely. He doesn’t do it openly or aggressively. There is Mama too; who fights for her rights and stands up to what she believes is right by not teaching the things that are written in the books. She rebels openly but wisely and in a well thought out way. When she is fired from her job, she is angry but she doesn’t show her anger or use violence to express it. REACTIONS OF SUBMISSION: Unlike the ones mentioned above, who in one way or the other rebel and fight for their rights, there are still some who accept the facts and submit to them. Here we have the example of Big Ma, who doesn’t fight back and accepts the fact that they are blacks and that they are inferior to the whites, the way the whites put it. For instance, when she is in Strawberry and Mr. Simms orders Cassie to apologize, despite Cassie’s protests and hesitation, she tells her to do it. Now we know that in that situation Uncle Hammer would have reacted in a completely different way. This shows how different Big Ma is to him. At that time, at that place, she chose to submit to what Mr. Simms was saying and didn’t fight back. She was right in her own way because she was old and starting a fight there by refusing wouldn’t have been appropriate. We can see that even behind that submission there were reasons which were right in their own way, and that even she wasn’t gla d to tell Cassie to apologize and call Lillian Jean ‘miz’. We can see that when the author says ‘Big Ma looked at me again, her voice cracking as she spoke. â€Å"Go on, childapologize.†Ã¢â‚¬â„¢ However, there are people like Mrs. Crocker who gladly accept the fact that they are inferior to whites and don’t even try to rebel against it. They no longer realise what’s right and what’s wrong, they just do and believe what the whites tell them, and never even dare to think against it. Like when Cassie shows her the book cover and tells her that they called them niggers, Mrs. Crocker says ‘â€Å"That’s what you are†Ã¢â‚¬â„¢ and when Mama is putting papers on the book covers she says to her that ‘â€Å"Mary Logan, you are biting the hand that feeds you.†Ã¢â‚¬â„¢ This shows that she just believes what the whites tell her and she doesn’t want to think otherwise. She accepts it and submits to it. She is even grateful to them for providing them books despite what they call them. Then there is T.J, who longs for popularity and friends. The Simms use him and make fun of him behind his back. But when he does find out he isn’t angry, only bewildered and scared. He too accepts the fact that they used him, though he doesn’t understand why. He doesn’t stand up to people; he just lets them to do whatever they want with him, particularly the whites. CONCLUSION: Summarising, we can see that the reactions of the people depend on the people themselves: the way they think, their personality, what they believe, their nature, what they think is right and what is wrong. There is a variety of reactions in this book: some use anger and violence to fight back, some use calmness and being wise to fight back, and some just don’t rebel. Each one is right and wrong in their own way. We cannot determine or decide which reaction is right and which is not. Research Papers on Reacting to InjusticeBook Review on The Autobiography of Malcolm XEffects of Television Violence on ChildrenWhere Wild and West MeetHarry Potter and the Deathly Hallows EssayThe Masque of the Red Death Room meaningsCapital PunishmentThe Hockey GameHonest Iagos Truth through DeceptionThe Spring and AutumnThree Concepts of Psychodynamic