Carl Friedrich Gauss Essay Example For Students

Carl Friedrich Gauss Essay Carl Friedrich GaussGauss, Carl Friedrich (1777-1855). The German scientist andmathematician Gauss is frequently he was called the founder of modernmathematics. His work is astronomy and physics is nearly as significant as thatin mathematics. Gauss was born on April 30, 1777 in Brunswick (now it is WesternGermany). Many biographists think that he got his good health from his father. Gauss said about himself that, he could count before he can talk. When Gauss was 7 years old he went to school. In the third gradestudents came when they were 10-15 years old, so teacher should work withstudents of different ages. Because of it he gave to half of students longproblems to count, so he in that time could teach other half. One day he gavehalf of students, Gauss was in this half, to add all natural numbers from 1 to100. 10 year old Gauss put his paper with answer on the teachers desk firstand he was the only who has got the right answer. From that day Gauss waspopular in the whole school. On October 15, 1795, Gauss was admitted to Georgia Augusta as matheseoscult.; that is to say, as a mathematics student. But it is often pointed outthat at first Gauss was undecided whether he should become a mathematician or aphilologist. The reason for this indecision was probably that humanists at thattime had a better economic future than scientists. Gauss first became completely certain of his choice of studies when hediscovered the construction of the regular 17-sided polygon with ruler andcompass; that is to say, after his first year at the university. There are several reasons to support the assertion that Gauss hesitatedin his choice of a career. But his matriculation as a student of mathematicsdoes not point toward philology, and probably Gauss had already made hisdecision when he arrived at Gottingen. He wrote in 1808 that it was noteworthyhow number theory arouses a special passion among everyone who has seriouslystudied it at some time, and, as we have seen, he had found new results in thisand other areas of mathematics while he was still at Collegium Carolinum. Gauss made great discoveries in many fields of math. He gave the proofof the fundamental theorem of algebra: every polynomial equation with complexcoefficients has at least one complex root. He developed the theory of someimportant special functions, in particular, the theory of the hypergeometricfunction. This function plays significant role in modern mathematical physics. Gauss discovered the method of so-called least squares. It is a method ofobtaining the best possible average value for a measured magnitude, for manyobservations of the magnitude. The other part of mathematics that also hasclose connections to Gauss, is the theory of complex numbers. Gauss gave a veryimportant geometric interpretation of a complex number as a point in the plane. Besides pure mathemaics, Gauss made very important contributions in astronomy,geodesy and other applied disciplines. For example, he predicted the locationof some sky bodies. In 1803 Gauss had met Johanna Osthoff, the daughter of a tannery ownerin Braunschweig. She was born in 1780 and was an only child. They were marriedon October 9, 1805. They were lived on in Braunschweig for a time, in the housewhich Gauss had occupied as a bachelor. On August 21, 1806, his first son Joseph was born. He received his nameafter Peazzi, the discoverer of Ceres. On February 29, 1808 a daughter followed,and gauss jokingly complained that she would only have a birthday every fourthyear. As a mark of respect to Olbers she was christened Wilhelmina. The thirdchild, a son, born on september 10, 1809, was named Ludwig, after Harding, butwas called Louis.After a difficult third delivery, Johanna died on October 11,1809. Louis died suddenly on March 1, 1810. .u3b1446d2c3fc509c16ee19ac233dd5b6 , .u3b1446d2c3fc509c16ee19ac233dd5b6 .postImageUrl , .u3b1446d2c3fc509c16ee19ac233dd5b6 .centered-text-area { min-height: 80px; position: relative; } .u3b1446d2c3fc509c16ee19ac233dd5b6 , .u3b1446d2c3fc509c16ee19ac233dd5b6:hover , .u3b1446d2c3fc509c16ee19ac233dd5b6:visited , .u3b1446d2c3fc509c16ee19ac233dd5b6:active { border:0!important; } .u3b1446d2c3fc509c16ee19ac233dd5b6 .clearfix:after { content: ""; display: table; clear: both; } .u3b1446d2c3fc509c16ee19ac233dd5b6 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u3b1446d2c3fc509c16ee19ac233dd5b6:active , .u3b1446d2c3fc509c16ee19ac233dd5b6:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u3b1446d2c3fc509c16ee19ac233dd5b6 .centered-text-area { width: 100%; position: relative ; } .u3b1446d2c3fc509c16ee19ac233dd5b6 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u3b1446d2c3fc509c16ee19ac233dd5b6 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u3b1446d2c3fc509c16ee19ac233dd5b6 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u3b1446d2c3fc509c16ee19ac233dd5b6:hover .ctaButton { background-color: #34495E!important; } .u3b1446d2c3fc509c16ee19ac233dd5b6 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u3b1446d2c3fc509c16ee19ac233dd5b6 .u3b1446d2c3fc509c16ee19ac233dd5b6-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u3b1446d2c3fc509c16ee19ac233dd5b6:after { content: ""; display: block; clear: both; } READ: Postmodernism Essay ExampleMinna Waldeck was born in 1799, she was the youngest daughter of aProfessor Of Law, Johann Peter Waldeck, Of Gottingen. Gauss married her onAugust 4, 1810. The new marriage was a happy solution to Gausss nonscientificproblems. Two sons and a daughter were born in the new marriage, Eugene on July 29,1811, Wilhelm on October 23, 1813, and Therese on June 9, 1816. In 1816 Gauss and his family moved into the west wing, while Hardinglived in the east. During the following years, Gauss and Harding installed theastronomical instruments. New ones were ordered in Munich. Among other times,Gauss visited Munich in 1816. After the intense sorrow of Johannas death had been mollified in hissecond marriage, Gauss lived an ordinary academic life which was hardlydisturbed by the violent events of the time. His powers and his productivitywere unimpaired, and he continued with a work program which in a short timewould have brought an ordinary man to collapse. Although Gauss was often upset about his health, he was healthy almostall of his life. His capacity for work was colossal and it is best likened tothe contributions of different teams of researchers over a period of many years,in mathematics, astronomy, geodesy, and physics. He must have been as strong asa bear in order not to have broken under such a burden. He distrusted alldoctors and did not pay much attention to Olbers warnings. During the wintersof 1852 and 1853 the symptoms are thought to have become more serious, and inJanuary of 1854 Gauss underwent a careful examination by his colleague WilhelmBaum, professor of surgery. The last days were difficult, but between heart attacks Gauss read agreat deal, half lying in an easy chair. Sartorius visited him the middle ofJanuary and observed that his clear blue eyes had not lost their gleam. The endcame about a month later. In the morning of February 23, 1855 Gauss diedpeacefully in his sleep. He was seventy-seven years old. BIBLIOGRAPHYGindikin, S.G., Stories about physicists and mathematicians, Russia, Moscow,Nauka, 1982 (in Russian). Hall, T., Carl Friedrich Gauss, The Massachusetts Institute ofTechnology, 1970. Muir, Jane, Of Men and Numbers: The Story of Great Mathematicians. Dodd,Mead, and Co, New York, 1961.

Bloom free essay sample

# 8217 ; s Taxonomy Essay, Research Paper Bloom? s Taxonomy is the higher order of thought. Imagine a pyramid ; to acquire to the top, you must first complete what is on the underside. Bloom? s Taxonomy is divided into 6 different subdivisions, each one stipulating what accomplishments are being demonstrated. The first and easiest block is knowledge. In cognition you observe and callback of information, cognition of day of the months, events, topographic points, major thoughts, and of capable affair. Some hints to place cognition is if it asks or you list, define, state, depict, place, demo, label, collect, examine, tabulate, quotation mark, name, who, when, where. The 2nd measure would be comprehension. Comprehension consist of understanding information, appreciation significance, interpret cognition into new context, interpret facts, comparison, contrast, order, group, infer causes, predict effects. Keywords to descry Comprehension would be: sum up, depict, construe, contrast, predict, associate, distinguish, estimation, d ifferentiate, discuss, and extend. We will write a custom essay sample on Bloom or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Layer figure three is Application. This is where it starts to acquire harder. Application involves utilizing information, methods, constructs, and theories in new state of affairss, work outing jobs utilizing needed accomplishments or cognition. Look out for these words to assist you place application: apply, demonstrate, calculate, complete, illust rate, show, solve, examine, modify, relate, change, classify, experiment, and discover. Step four is Analysis. Analysis involves seeing patterns, organization of parts, recognition of hidden meanings, identification of components. Question Cues: analyze, separate, order, explain, connect, classify, arrange, divide, compare, select, explain, and infer. The second to the last step, Synthesis, is hard, because now not only do the questions have to be answered for this, but the other steps should be done as well, to be able to fully understand. The elements that contribute to synthesis are: use old ideas to create new ones, generalize from given facts, relate knowledge from several areas, predict, and draw conclusions. Clue words include combine, integrate, modify, rearrange, substitute, plan, create, design, invent, what it?, compose, formulate, prepare, generalize, and rewrite. Last and definitely the hardest because incorporate all previous 5 steps, is Evaluation. Evaluation compare s and discriminates between ideas, assess value of theories, presentations, makes choices based on reasoned argument, verifies value of evidence, and recognizes subjectivity. Suggested hints include assess, decide, rank, grade, test, measure, recommend, convince, select, judge, explain, discriminate, support, conclude, compare, and summarize.

Bill Clinton Dnc Speech free essay sample

As first stated by the ancient Greek philosopher Aristotle, the art of rhetoric in persuasive speaking is based upon the usage of the three key components, logos, ethos and pathos. Logos representing the usage of logic and reasoning within the speech or text, ethos representing the writer or speaker’s credibility and pathos representing how the speaker or author establishes an emotional connection with the audience. In former president Bill Clinton’s 2012 democratic national convention he relies heavily upon Aristotle’s persuasive speaking techniques to help convince the participants of the convention and those watching at home to reelect the nominee of the Democratic Party, current president Barack Obama. Through his usage of logos by referencing statistics of Obama’s presidency, ethos mostly through his integrity as former president of the United States and his political past, and pathos through his use of humor and appeal to tender emotions such as sympathy, Clinton establishes a sense of belonging to the Democratic Party and effectively conveys his overall message of reelection of the current president. We will write a custom essay sample on Bill Clinton Dnc Speech or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Appealing to a human’s emotions is arguably one of the most powerful mechanisms in trying to persuade an audience to believe in one’s argument. Clinton starts his speech by repeatedly referencing the audience as â€Å"we democrats† and using phrases such as â€Å"every one of us† and â€Å"every one of them† heavily in his speech. The usage of these key phrases efficiently establishes a sense of community and belonging not only within the audience but also between the audience and himself. This sense of togetherness helps to create an image of the former president as just another member of the Democratic Party who also understands what the common man is going through today and has a solution to their everyday problems unlike those in the opposite party. It also helps to unite the party in this common cause to reelect the president and support what he has done so far. Clinton also uses pathos in a sense that his humor and sarcasm could be felt throughout his speech and also helped to link the former president to the common man. He takes a jab at the republican national convention by indirectly calling them professional liars through their clean appearance and ability to convince the people that they are good Christians whose only worry is the general welfare of Americans and how they almost had Clinton himself convinced that they were telling the truth which drew good laughter from the crowd. As the crowd laughs, they find themselves more and more attracted to Clinton, making it easier for him to convince them of his arguments, effectively using the benefits of pathos and he doesn’t stop there. Clinton also goes on to mention that the other candidate plans on cutting spending on government programs such as head start preschool program for poor children which evoked a sense of compassion from anyone in the audience who is around children or sympathizes with under privileged children which was practically everyone in the audience also effectively allowing Clinton to find another connection with the audience. Another persuasive technique he utilizes is his usage of logic and reasoning by referencing facts and statistics. His reference to actual political facts helps to convince those in the audience who aren’t as easily swayed solely through their emotions. He points out that in the past 52 years the Republican Party was in charge for 28 years and the democrats for 24 years and according to the math out of the 66 million jobs created in those 52 years, 24 million was created by Republicans and 42 million created by democrats. These statistics help to illustrate the efficiency of the political policies of the Democratic Party and that the math proves their policies are the best and more effective way to go. He also goes on and brings the focus of his logos to the present by acknowledging the 2010 Recovery Act Obama passed which cut taxes for 95% of Americans and created 4 and a half private sector jobs within the last 29 months. This use of facts helps to present actual evidence behind his claims about the president’s success and persuades skeptics that he couldn’t possibly be wrong due to the fact that his argument has now shifted to be based on the truth and numbers and not only the emotions of the audience. Finally, Clinton shifts to ethos to finish off his speech strongly and efficiently. Without him even mentioning it, his credibility as a speaker is already set due to the fact that he was the last democratic president of the United States which in a lot of people’s opinions qualifies him as someone who could accurately talk about the recovery of the county and know what is going on. Even before he was president, Clinton was also the governor of Arkansas who worked with previous republican presidents such as Ronald Reagan on welfare reform and George H. W. Bush to help with the national education goals, furthering his credibility as a political figure who has the background to sustain the claims he’s making in his speech to support the reelection of president Obama. At the end of the speech, I personally felt Clinton was very professional and efficient in using those rhetorical strategies in a sense that at the end of the 50 minute speech he had me believing in his case due to the way he implemented logos, ethos, and pathos as described in the previous paragraphs. Not only did I connect with the emotions he was conveying with his words, but his use of statistics and facts also gave me solid empirical evidence I could actually hold on to. In conclusion, through former president Bill Clinton’s use of rhetorical strategies such as logos, ethos, and pathos to express his wisdom and advice, he establishes a sense of belonging to the Democratic Party and effectively conveys his overall message of reelection of the current president.

What to Write in a Principal Sample Personal Essay

What to Write in a Principal Sample Personal EssayIt is important to have a personal essay if you are applying for college, high school or the military. In each case, it will provide your thoughts on your past life and how you would like to influence those around you in your future. Here are some tips to help you get started.Previous essays are an important step in the process because this allows you to present yourself in a more positive light. You want to focus on your accomplishments in your current position and help explain why your college and high school experiences are important to you. The goal is to create a picture of yourself that can be used as a model for others to follow.The last paragraph should not end in a statement of purpose. Instead, use an individual statement. This is important because this will allow you to talk about a part of your past that may not be relevant to the essay.Finish the essay with a bold-italicized 'with.' This is very important because the read er will see this and assume you are ready to move onto the next part. Take some time to think about the main points of the essay. If you are able to write an effective conclusion, this will help build confidence in the reader.Writing a college essay is similar to writing one in high school. Your key point should explain the main reason for your application to college or the high school. This will help with your academic performance, since it explains why you are interested in a specific area of study.In the first paragraph, introduce your interest, as well as any notable experiences. It is important to make your interest clear. The reason for your interest should also be pointed out in the first paragraph. The second paragraph will explain your education interests and use those as a springboard to the rest of the essay.Remember to write in a way that is easy to read and concise. A personal essay is a good opportunity to explore your thoughts and develop your writing skills.

Are There Black People With Freckles

Are There Black People With Freckles SAT / ACT Prep Online Guides and Tips When you think about freckles, what do you think of? Fair-skinned children whose mothers slather sunblock on them? Bright, shocking red hair? Maybe even Pippi Longstocking? As a beauty feature, freckles are commonly associated with fair-skinned people, leading to the question: â€Å"Can black people have freckles?† The answer is yes- there are many black people with freckles, as well as people with other skin tones who have freckles, too. In this article, I’ll break down what causes freckles and who has them. I’ll also provide images of black people with freckles to demonstrate the different skin tones that have freckles. Can Black People Have Freckles? 3 Examples of Freckles on a Black Person Check out these three images to see examples of how freckles look on a black person. What Are Freckles? Freckles, also known as ephelides, are clusters of melanized skin. Freckles have melanocytes (melanin-producing cells) that overproduce melanin granules which change the color of outer skin cells. What does that mean? Basically, freckles are bunched-up clusters of melanin-producing cells. When UV rays hit these bunched-up clusters of cells, they’ll darken in color, changing the pigment of small parts of your skin. Freckles are triggered by sunlight, meaning that they develop as you grow and expose your skin to the sun. Because freckles appear after exposure to sun, many people associate them with sun damage. However, freckles are actually not related to sun damage at all. Freckles can, though, disguise lentigo, or sun spots, which can be a sign of cancer. Regardless of your skin tone and the presence of freckles, you should always protect your skin with a broad spectrum UVA/UVB sunscreen that’s SPF 30 or higher. Not just anyone can have freckles. In order to have freckles, you must have a variation of the MC1R gene. People of all heritages and skin tones can have this genetic mutation. Why Are Freckles More Commonly Associated With Fair Skin? If there are black people with freckles, why are freckles so predominantly associated with people with fair skin? Why aren't there many examples of black people with freckles? The answer lies in genetics. The variation of the MC1R gene that causes freckles is passed down genetically. People of Celtic heritage, who typically have very fair hair and skin, are more likely to have this genetic mutation than other groups. However, people of African, Mediterranean, Asian, and Hispanic descent can also have freckles. The genetic mutation simply isn’t as common in these groups as it is in groups of Celtic descent, so you don't see as many Asian or black people with freckles. Can Freckles Disappear? Just as freckles appear in the light, they can fade in the lack of sun exposure. Many people whose freckles appear during the summer often watch those same freckles fade over the winter. On the other hand, there are plenty of people whose freckles stay year-round after they first appear. Every person’s freckles are slightly different. 4 Tips for Taking Care of Skin with Freckles While freckles aren’t associated with skin damage, they can make you more prone to getting other, malignant types of skin conditions. Follow these four tips to take care of your skin if you have freckles. #1: Always Wear Sunscreen Both fair skinned and black people with freckles (and really everyone) should always wear sunscreen. Look for a broad spectrum UVA/UVB sunscreen that’s SPF 30 or higher. If you’re trying to limit the appearance of freckles, sunscreen will help guard your skin from the UV rays that cause freckles to appear. Sunscreen will also help prevent dangerous skin damage. #2: Visit a Dermatologist If you freckle easily, your skin will also be more prone to skin cancer and sun damage. You should visit a dermatologist at least once a year to receive a skin cancer screening. Some types of skin cancer look like freckles, so it’s important to visit a doctor who can help you tell the difference. #3: Perform Monthly Self-Examinations Just like women should perform monthly breast self exams, people with freckles should perform monthly skin exams. You don’t have to do anything fancy for a skin exam- simply make note of the freckles, moles, and other skin markings you have. The more aware you are of your body, the more likely you are to notice when something has appeared or changed. #4: Exfoliate Exfoliating helps remove dead skin cells and allows for healthy skin turnover. Exfoliating will help remove dead, dull-looking skin and help your other skin care products, like sunscreen and moisturizers, work better. Recap: Can Black People Have Freckles? Freckles are caused by a variation on the MC1R gene- and anyone, with any skin color or heritage, can have them. Freckles are clusters of melanin-producing cells that appear when exposed to UV rays. If you have freckles, it’s important to take good care of your skin by using sunscreen to prevent from sun damage.

Comparative analysis Essay Example | Topics and Well Written Essays - 1000 words

Comparative analysis - Essay Example Roger Scruton (2010) on the other hand looks at the issue of the modern education from another perceptive. He also agrees that that there is a problem with the modern education and that there needs to be a way to deal with these issues. To make his point, he introduces his text by reviewing a book written some century years ago by a catholic scholar. The book is titled The Idea of a University authored by Cardinal John Henry Newman who was a great scholar during the 19th century (Scruton, 2010). Scruton outlines how Newman describes the ideal university. He points out that Newman painted a picture of a university not just as a place to gain knowledge, but a place to shape and guide a man’s discipline. Roger Scruton argues that this is almost no longer the case. These two authors tackle the issue from two different angles. For instance, Ribinson looks the issue from a creativity point of view and argues that there is a need for modern schools to create an environment that helps students to be creative. This problem has been looked at by a number f people. Scruton on the other hand looks at the issue of modern education mostly from an economic point of view. In his article, he looks at the kind of decision that most parents, especially those who are economically restrained, make before deciding to take their teenage child to university. Roger Scruton’s argument is based on the fact that education has become very expensive and the courses that the university today offers some programs that may not seem to improve much on the student. He contradicts Newman’s ideal view of a university. To describe how Newman’s idea of a university cannot be achieved today, he gives an example of how a father may feel after sending his daug hter to university only for the daughter to graduate with a course in women’s studies (which he

Slavery Essay Example | Topics and Well Written Essays - 500 words - 3

Slavery - Essay Example Even prior to the establishment of these factories, the demand for slaves was still high all over the world. In the United States, the demand for slaves increased with the growth of the industrial revolution which saw large-scale textile industries emerge. The main reason why slavery grew was the fact that in the federal government, created after the freedom of the American nation as an independent set of states, most of the representatives were large-scale farm owners from the south (Hammond 176). As such, in the presence or the absence of the textile industry, slaves would still be shipped to the country to assist with household chores and the likes. Regardless, the growth of these industries prompted the establishment of the slave trade as a lucrative business venture. Which mainly became competitive, led to the increase in violence subjected among slaves. The increase in violence subjected on the slaves was mainly a strategy that had been developed by plantation farmers to ensure that the cotton picked was more than enough and this thus led to the increase in immorality and inhumanity among the southern states. The rise in the prices of slaves equally motivated the violence subjected upon them, since the white men understood that they were their property and after being sold for such a high price, the slaves were expected to be equally productive which thus stimulated the use of violence as a way to improve productivity, which was later a power used by the southerners for their pleasure or to exert power.