Biography of Joseph Louis Lagrange, Mathematician

Biography of Joseph Louis Lagrange, Mathematician Joseph Louis Lagrange (1736–1813) is considered to be one of the greatest mathematicians in history. Born in Italy, he made his home in France before, during, and after the French Revolution. His most important contributions to modern mathematics related to number theory and celestial mechanics, and analytic mechanics; his 1788 book Analytic Mechanics is the foundation for all later work in the field. Fast Facts: Joseph-Louis Lagrange Known For: Major contributions to mathematicsAlso Known As: Giuseppe Lodovico LagrangiaBorn: January 25, 1736 in Turin,  Piedmont-Sardinia (present-day Italy)Parents: Giuseppe Francesco Lodovico Lagrangia, Maria Teresa GrossoDied: April 10, 1813 in Paris,  FranceEducation: University of TurinPublished Works:  Letter to Giulio Carlo da Fagnano, Analytical Mechanics, Miscellany of Philosophy and Mathematics, Mà ©langes de Philosophie et de Mathà ©matique, Essai sur le Problà ¨me des Trois CorpsAwards and Honors:  Member of the Berlin Academy, Fellow of the  Royal Society of Edinburgh, foreign member of the  Royal Swedish Academy of Sciences, Grand Officer of Napoleons  Legion of Honour  and a  Count of the Empire, Grand Croix of the  Ordre Impà ©rial de la Rà ©union, 1764 prize of the  French Academy of Sciences  for his memoir on the  libration  of the Moon, commemorated on a plaque in the  Eiffel Tower, namesake for the  lunar crater  LagrangeSp ouse(s): Vittoria Conti, Renà ©e-Franà §oise-Adà ©laà ¯de Le MonnierNotable Quote: I will deduce the complete mechanics of solid and fluid bodies using the principle of least action. Early Life Joseph Louis Lagrange was born in Turin, the capital of the kingdom of Piedmont-Sardinia, to a well-to-do family on January 25, 1736. His father was treasurer of the Office of Public Works and Fortifications in Turin, but he lost his fortune as a result of bad investments. Young Joseph was intended to be a lawyer and attended the University of Turin with that goal; it wasnt until the age of 17 that he became interested in mathematics. His interest was piqued by a paper he came across by the astronomer Edmond Halley, and, entirely on his own, Lagrange dove into mathematics. In just a year, his course of self-study was so successful that he was appointed to be an assistant professor of mathematics at the Royal Military Academy. There, he taught courses in calculus and mechanics until it became clear that he was a poor educator (though a highly talented theorist). At the age of 19, Lagrange wrote to Leonhard Euler, the worlds greatest mathematician, describing his new ideas for calculus. Euler was so impressed that he recommended Lagrange for membership in the Berlin Academy at the extraordinarily young age of 20. Euler and Lagrange continued their correspondence and, as a result, the two collaborated on developing the calculus of variations. Before leaving Turin, Lagrange and friends founded the Turin Private Society, an organization intended to support pure research. The Society soon began publishing its own journal and, in 1783, it became the Turin Royal Academy of Sciences. During his time at the Society, Lagrange began applying his new ideas to several areas of mathematics: The theory of sound propagation.The theory and notation of the calculus of variations, solutions to dynamics problems, and deduction of the principle of least action.Solutions to dynamics problems such as the motion of three bodies mutually attracted by gravity. Work in Berlin Leaving Turin in 1766, Lagrange went to Berlin to fill a position recently vacated by Euler. The invitation came from Frederick the Great, who believed Lagrange to be the greatest mathematician in Europe. Lagrange spent 20 years living and working in Berlin. Though his health was sometimes precarious, he was extremely prolific. During this time he developed new theories about the three-body problem in astronomy, differential equations, probability, mechanics, and the stability of the solar system. His groundbreaking 1770 publication, Reflections on the Algebraic Resolution of Equations† launched a new branch of algebra. Work in Paris When his wife passed away and his patron Frederick the Great died, Lagrange accepted an invitation to Paris extended by Louis XVI. The invitation included luxurious rooms at the Louvre as well as every type of financial and professional support. Depressed because of his wifes death, he soon found himself married again to a much younger woman who found the gentle mathematician fascinating. While in Paris, LaGrange published Analytical Mechanics, an astonishing treatise and a still-classic mathematics text, which synthesized 100 years of research in mechanics since Newton, and led to the Lagrangian equations, which detailed and defined the differences between kinetic and potential energies. Lagrange was in Paris when the French Revolution began in 1789. Four years later, he became the head of the revolutionary weights and measures commission and helped establish the metric system. While Lagrange continued as a successful mathematician, the chemist Lavoisier (who had worked on the same commission) was guillotined. As the revolution came to a close, Lagrange became a professor of mathematics at the École Centrale des Travaux Publics (later renamed the  Ãƒâ€°cole Polytechnique), where he continued his theoretical work on calculus. When Napoleon came into power, he, too honored Lagrange. Before his death, the mathematician became a senator and count of the empire. Contributions Most Significant Contributions and Publications Lagranges most important publication was The Mà ©canique Analytique, his monumental work in pure math.His most prominent influence was his contribution to the metric system and his addition of a decimal base, which is in place largely due to his plan. Some refer to Lagrange as the founder of the Metric System.Lagrange is also known for doing a great deal of work on planetary motion. He was responsible for developing the groundwork for an alternate method of writing Newtons Equations of Motion, referred to as Lagrangian Mechanics. In 1772, he described the Lagrangian points, the points in the plane of two objects in orbit around their common center of gravity at which the combined gravitational forces are zero and where a third particle of negligible mass can remain at rest. This is why Lagrange is referred to as an astronomer/mathematician.The Lagrangian Polynomial is the easiest way to find a curve through points. Death Lagrange died in Paris in 1813 during the process of revising Analytical Mechanics. He was buried in the Panthà ©on in Paris.   Legacy Lagrange left behind an incredible array of mathematical tools, discoveries, and ideas which have had a profound impact on modern theoretical and applied calculus, algebra, mechanics, physics, and astronomy. Sources . Joseph Louis Lagrange | A Short Account of the History of MathematicsUniversity of South Florida.Joseph-Louis Lagrange. Famous Scientists.Joseph-Louis Lagrange. Stetson.edu.Struik, Dirk Jan. â€Å"Joseph-Louis Lagrange, Comte De LEmpire.†Ã‚  Encyclopà ¦dia Britannica, 18 Apr. 2019.

Written Business Plan Assignment Example | Topics and Well Written Essays - 1250 words

Written Business Plan - Assignment Example The target are the home owners in in the city of Philadelphia. The marketing plan would include promotion, pricing, product, and placement. Spretics Designer’s competitive advantage first comes from the pricing position. This system gives the company a competitive edge, especially in a society that has an idea about interior designers. The segmented pricing would be useful in penetrating the market effectively. The marketing. All the operations in the firm would be documented. The firm would use customer feedback to improve its quality of services and products. In the same way, newly recruited employees would undergo training so as improve their job performance and skills. The major risk of the business is that one may use obsolete technology due to rapid changes in the design industry. Therefore, the exit strategy for the business would include merging the business or selling it to interested investors. However, in the next 3 years, the sales are projected to grow to over $90 0,000. Due to the rapid technological advancements, the design industry has also developed. More businesses and people need interior design services for either commercial or personal use. Spritecs Designers would be strategically located to take advantage of the fifth-most populous city in the U.S. The target market for Spritecs Designers are the business community, local community, and learning institutions. There are currently very few professional designers in Market Street, Philadelphia giving a great opportunity for more to enter. In the same way, implementing a suitable pricing system and effectiveness of the marketing strategy are the main driver for the success of the company and to achieve profits in the future. Through extensive research in the Philadelphia, accountable information had been gathered to adequately be used to approach the targeted customers and the best service they are looking for and how much do they pay for it. The existing companies charges

Job Satisfaction Essay Example | Topics and Well Written Essays - 1500 words

Job Satisfaction - Essay Example (1) Job satisfaction of the employees, and retaining them has become a growing concern in business organizations with the need to be more competitive, as a result of the growing globalization being witnessed. This stems from the belief that satisfied employees tend to be more productive, creative, and committed to the organization. There is evidence from the field of healthcare that job satisfaction among employees tend to make the healthcare organization more competitive in a market noted for its high rate of competitiveness. This competitiveness is through the improvement in quality and cost-effectiveness of satisfied employees. (2) Any discussion on job satisfaction needs to take into consideration the positive and negative factors of job satisfaction. According to Hezberg et al 1959, the positive factors known as motivators are achievement, recognition, the job responsibilities itself, and advancement opportunities. Negative factors known as hygiene factors include supervisors, fellow workers, company policy, workplace environment, and personal life. These findings of Hezberg et al were supported by studies conducted at the workplace, where workers were asked to present their perspectives of critical incidents that had occurred, but this remained the only manner in which the theory was supported. Wall et al in 1971, on the basis of confidentially collected data from workers, found that ego-defensive processes were responsible for the findings of Hezberg et al. These processes led to good events being the result of one’s own achievements, and bad events the due to the failings as a result of others. Thi s led to the general discarding of the Hezberg et al theory. However a subsequent study conducted in 1971, and as reported by Argyle, found relevance in the theory of Hezberg et al. This research on joy in workers found that while achievement was important, relationships

Puppet Project Assignment Example | Topics and Well Written Essays - 1000 words

Puppet Project - Assignment Example The children that I worked with really liked making Jacob, the lion, and were making suggestions on what he should look like. They even tried the puppet on used it and made more puppets. Puppets are for learning and having fun while learning. Puppetry is a form of creative art where stitchery, weaving, painting, drawing and even mobiles can be used all together to improve children’s learning in all facets of school and home issues. Cognitive- The child will learn how to use language to express themselves through the use of puppets and stories they make up themselves. They will use their thinking skills to make their puppets, think of a story, and use their puppet to present a short play to the class. Social- The child will interact with other children while making the puppet and putting on their own puppet shows. The child will be able to start discussions and learn to follow-through till the project is completed. The child will be learning proper conversation skills. Emotional- The child will learn how to express themselves through the use of these puppets. The child overcome shyness, attention-problems and will be able to complete project to completion and make friends. Physical- The child will improve their manual dexterity when using their hands and arms to manipulate the puppets mouth. They will also in some cases learn to control their whole bodies to contol puppet depending on the size of the puppet. The will also improve hand-eye coordination when the

Cadbury Dairy Essay Example for Free

Cadbury Dairy Essay Cadbury Dairy milk is in the mature stage of the product life cycle, the reason being is that it is a well-established product since 1905. The maturity point is generally reached when about half the potential users have adopted the product. Since Cadbury Dairy Milk is Australia’s favourite chocolate, it is safe to say that there is already consumer trust and loyalty to the brand. However customers still need continued satisfaction and loyalty, built on lower cost, differentiation or customer service. Seeing that Cadbury chocolate is considered a common brand name in households all over Australia, there is nothing within the external environment that should be modified and it will remain in a strong steady position in the confectionery industry. Product: In order to continue generating sales, Cadbury took into consideration one of the threats that the confectionery industry is facing today. Consumers are becoming more health conscious; therefore Cadbury will support and promote physical activity by giving away mountain bikes to 100 lucky winners around Australia! The promotion will only feature in the Cadbury Dairy Milk chocolate block range: including the Fruit and Nut, Hazelnut etc†¦ Featured on the wrapping will be, â€Å"WIN A MOUNTAIN BIKE† with a picture of the bike that will be won. Price: The pricing of Dairy Milk Chocolate will also maintain the same pricing strategies to remain competitive with its competitors Nestle and Mars. Place: The distribution of Cadbury Dairy Milk should be at its maximum capacity, remaining readily available in supermarkets, convenience stores, seven elevens and kiosks. Promotion: Cadbury should continue to generate promotions to remind and encourage consumers to purchase Dairy milk chocolate. In order to maintain the sales of Dairy Milk, sales promotion should be implemented to generate growth. This is done by creating advertisements on Television and in-store promotional posters to display the promotion that is running. The television and in-store promotion is to inform consumers of the promotion that is currently running. The sales promotion will be â€Å"WIN A MOUNTAIN BIKE† This promotion is for the Cadbury Dairy Milk block chocolate range. Every consumer that purchases a block range from Cadbury’s will have the opportunity to enter the competition by text via SMS a code that is given inside the wrapper. f. ) Marketing Action Plans: A key objective is to hold current customers and to maintain and increase the retail and brand market share to make sure that the Cadbury brand and products remain one of the top selling confectionery brands in Australia. Since Cadbury Dairy Milk is in the top five selling chocolates list, there will be no need for any tremendous change. A good way to promote The other Cadbury block chocolate range such as Fruit and nut and Hazelnut†¦etc will also have his competition. Price: Cadbury’s human resources department will need to find a place that will provide us with the mountain bikes. The costing of the bikes and the overall promotions will need to be considered, as Cadbury does not want to spend so much on promotions, when Cadbury Dairy Milk is not declining any time soon. Promotion: Pictures of this new competition will need to be put in magazines such as: Women’s day, News Idea, newspapers†¦. etc†¦designers will be needed to create the advertisements for this promotion. However, to promote Cadbury Dairy Milk’s new competition, television is the key to ensure that viewers all around Australia will know about the â€Å"WIN A MOUNTAIN BIKE† promotion. As television is the main and preferred type of advertising, it is certain that consumers will know about the competition faster. And in addition to that, the Cadbury chocolate commercials will still be showing, to heighten promotions. It is best to air the promotion on television between 4:00 pm – 9:00pm, since that is the time when consumers are most likely to be at home. Place: The exposure of Cadbury Dairy Milk promotion will need to be more publicized in convenience stores and kiosks in the form of a poster. g. ) Management of the marketing effort and the marketing function: In order to make sure that they marketing effort and function works accordingly a few steps have to be taken in regards to the management of the planning. The three step process that will have to be put in place will be based around †¢Marketing Implementation –The process of putting marketing strategies into action †¢Intended Strategy The strategy that the company decides on during the planning phase †¢Realized Strategy – The strategy that actually takes place Cadbury must be able to respond and adapt to its internal marketing department. Coordinating internal exchanges between the firm and its employees to achieve successful external exchanges between the firm and its customers is very important as it allows for a gauge or a measure to be received as a result of acceptance and understanding. In regards to the marketing activities it all starts within the Cadbury management team. The ability to motivate marketing personnel plays a large part in the initial process to get the promotional idea off the ground, once the team is able to have a grip of the idea that tackles the current health issue and that a bike will be awarded as a prize and health product then extreme communication within the marketing unit will be essential. Openness and responsiveness from other marketing departments will be just as important to make sure that the management and strategy travels across all channels. This will be indispensable to the organizing and coordinating of marketing activities which then lead to a schedule for implementation. The marketing control process consists of three steps; Establishment of control standards, Evaluation of actual performance relative to established standards and corrective action if necessary. A few key guidelines that will help Cadbury in controlling marketing activities: Within the Marketing Control Process †¢Establishing performance standards and trying to match actual performance to those standards Establishing Performance Standards Expected levels of performance †¢Taking Corrective Action oImprove actual performance oReduce or change the performance standards oDo both †¢Problems in Controlling Marketing Activities oLack of the information required to control activities oUncontrollable influence of market environment changes on marketing activities oTime lag that occurs between marketing campaigns and their results delays corrective actions A few problems can also occur in the controlling of marketing activities, however the ability to act on these problems will only make the campaign more successful and responsive.

The Definition of Love :: Definition Essays Love Godly Romantic Essays

The Definition of Love Love by definition is an emotion explored in philosophy, religion, and literature, often as either romantic love, the fraternal love of others, or the love of God based on the definition found in The Encarta Encyclopedia. As I explored the definition by means of the Internet, books, and articles I noticed the definitions changed quite a bit, but yet had the same basic understanding. The definition I found in The Encarta Encyclopedia was probably the most simple and most basic. It refers to love in the whole aspect, which is Godly, fraternal, and romantic. All in which can only be defined by one word and that it love. The definitions of love are the same and yet different. Godly, for instance is the love of God, and your devotion and respect toward him, the creator. In all religion, god carries the same aspect. Fraternal love is the love of ones family and relatives, even the love of one who is close to you, in that respect, such as a friend. Then there’s romantic love; a love between two people, which I consider to be both intimate and sexual. Older dictionaries and encyclopedias usually refer to the romantic aspect of love, as the love in which is experience between man and woman. In today’s society it is said that romantic love can be found regardless of your gender and based on that definition I would have to agree, but personally disagree for the simply reason that we were physically made to adapt with the other gender sexually. Feeling romantic love for the same sex would defeats the purpose of our existents, which is procreation. Thus making love for the same sex unjust.   Ã‚  Ã‚  Ã‚  Ã‚  Love has been expressed since the beginning of time; since Adam and Eve. Each culture expresses its love in its own special way. Though out history, though, it’s aspect has always been the same. Love has been a major characteristic of literature also. One of the most famous works in literary history is, Romeo and Juliet by William Shakespeare. This story deals with the love of a man and a woman who’s families have been sworn enemies. There love surpassed the hatred in which the families endured for generations. In the end they both ended up killing their selves, for one could not live without the other. This story is a perfect example of true love.

History of Immigration †Movie Gangs of New York Essay

Although Martin Scorsese’s 2002 film â€Å"Gangs of New York† purports to be an historical film which recounts ethnic based gang rivalries in 1863 New York City, the film relies heavily on poetic-license, accentuating violence and a typical Hollywood â€Å"good versus evil† story-line, rather than delving into the historical specificities and realistic detail. While it is almost certainly true that Gangs captures the flavor and mythopoetic spirit of America’s ethnically diverse past and the violence and tensions which seethed during the American Civil, it is equally true that the historical themes with which Gangs deals are of a secondary nature to its main thrust: which is to produce a slick, and profitable film. So, while the movie deals with a tremendously important historical period in American history, the historical background â€Å"is incidental to Scorsese’s larger vision of reminding Americans of their violent past† 1 and, as such, the film’s viewpoints regarding immigration are abstraction from history and not representative of history itself. That said, the film’s portrayal of immigration is to show it as a bloody, tremendously difficult process, a sort of pressure-cooker where the amalgam of cultures clashed in a violent soup, which, itself produced a unity through an altogether new culture, an American culture, born through a traumatic and protracted birth-struggle. This vision is a romantic vision which simplifies the complex realities of the history of immigration in America in the nineteenth century. Scorsese, as mentioned, is not interested in depicting history, but to use the verisimilitude of history, the details and gritty realism of historical record, to paint a dramatically believable portrait of myth: a myth describing the birth of American culture in the fiery crucible of ethnic prejudice and competition. Historical detail is a device, not a theme: â€Å"while Gangs is accurate in detail, it is distorted and mistaken in its larger characterizations and interpretation. This should not be surprising: Gangs of New York is a moneymaking enterprise. † 2 If the film’s relevance to history is not one of accurate portrayal and realistic delving into the lives and events of the era depicted, then from where does its importance to history derive? The answer to that question lies in the fact that while â€Å"Gangs of New York† may play fast and loose with historical accuracy, while it may simplify the complex sociological realities of intercultural integration — or lack thereof — in America’s war-torn past, the film remains faithful to a central, thematic idea which is also a core-reality of American history: that a nation which is ethnically diverse but upholds individual liberty must in the end cast-away the ethnic and racial barriers and competitions of the â€Å"Old World† in order to actualize the opportunities of the future. That core-idea is a core-principal of American Democracy and it is a principle by which American history, including the American Civil War, has turned on as though upon an axis. The great value, historically speaking, of â€Å"Gangs of New York† is not in its depiction of history or its re-creation of historical events, but in the film’s vision of racism of cultural division and of American Democracy as a â€Å"melting pot† and also an ideal which transcends race or specific culture. The problem in the presentation of this vision is that the Hollywood â€Å"hero and villian† paradigm, along with a stock formula of violence and greed, results in a film which buries these important themes beneath a slick â€Å"whitewash† and this is: â€Å"a foolish simplification, a stereotype, and not the business of historians. Rather, the problem with Gangs is that it wants us to think that Irish gangsters were â€Å"good† by ignoring their racism while it wants to make us think others are â€Å"bad† because they are racist. â€Å" This kind of pretzel-logic may make for an interesting and immediately understandable film, but it does little to shed light on history or on the diffusion of cultural tensions in America. The film is conspicuously incompatible with a detailed or immersive reading of history. I do not personally belive that â€Å"Gangs of New York† accurately depicts the feelings of the people at the time or even the historical tensions themselves. Instead, the film â€Å"Without the veneer of historical righteousness[†¦ ] is just another Scorsese bloodbath among white men. With that in mind, there is merit in the film’s mythopoetic imaging of the emotional energy which explodes from America’s cultural diversity. Unfortunately, â€Å"Gangs of New York† fails to depict substantive and historically accurate characters who — if shown realistically — would be comprised of multi-faceted and perhaps contradictory impulses and beliefs. In conclusion, while Martin Scorsese’s â€Å"Gangs of New York† faithfully represents the formulaic, Hollywood notion of slick, effective commercial film-making, the film fails to faithfully represent the historical period from which is ostensibly draws its setting, theme, and characters. While immigration can and should be rightfully regarded as a part of America’s mythopoetic past and also its mythopoetic identity, the historical realities of immigration and the actual historical ramifications of the cultural pressure-cooker that helped to birth America are absent from â€Å"Gangs of New York. † In their place, broad generalization, ethnic stereotyping, epic contrasts of good and evil, and the classical arc of the hero-myth are used to both simplify and stylize an aspect of American history which is too nuanced and too complex to be accurately depicted through such an approach. It is possible that â€Å"Gangs of New York† will inform a significant portion of its audience with the flavor of an historical period they might have otherwise missed observing altogether. However, in all liklihood, those who are stimulated to study this time-period by Scorsese’s poetic vision, will find themselves startled, and perhaps confused, by the amount of drama and profound thematic issue which were left out of â€Å"Gangs of New York. â€Å"