| 单词 | Euler |
| 例句 | Euler was an excellent mathematician—in fact, he was one of the most prolific and influential in history—but in this case the careless manipulation of zero and infinity led him astray. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z She had already sent him a link to a biography of Leonhard Euler, an eighteenth-century Swiss mathematician. The Parker Inheritance 2018-03-27T00:00:00Z “You found the missing piece of the code! Hadn’t we seen a link to Euler before? We skipped right over it.” The Parker Inheritance 2018-03-27T00:00:00Z Nevertheless, his idealized parabolic trajectory in a vacuum was an essential precondition for the much more sophisticated analysis by Robins and Euler of actual trajectories. The Invention of Science 2015-09-17T00:00:00Z But it was Euler whose work really established calculus as the basic tool of the mathematical sciences. The master of them all 2016-01-07T05:00:00Z Euler had hoped to lead it, but he did not fit in. The master of them all 2016-01-07T05:00:00Z As relations with Frederick soured, Euler decided to move again. The master of them all 2016-01-07T05:00:00Z Euler also started suffering from headaches, and his eyesight deteriorated steadily. The master of them all 2016-01-07T05:00:00Z Getting into the spirit, investment house Euler Hermes sought to predict the outcome of the match by listing the plus and minus points of the two economies. France, Germany switch off economies, switch on TVs for crunch tie 2014-07-04T04:00:00Z It is long, but it gives a fascinating portrait of Euler, his work and the world around him. The master of them all 2016-01-07T05:00:00Z Writing to Voltaire, Frederick played both on Euler’s eminence and his disability, calling him the “great Cyclops of geometry”. The master of them all 2016-01-07T05:00:00Z Euler was heavily involved in practical scientific matters, such as the construction of accurate maps of the Russian Empire and studies of floods, fire and shipbuilding. The master of them all 2016-01-07T05:00:00Z Euler was born in Basel, but his career followed the great royal powers of Europe. The master of them all 2016-01-07T05:00:00Z For the reader who seeks more, a huge array of Euler’s writings can be found online at the Euler Archive. The master of them all 2016-01-07T05:00:00Z Euler also carried forward another aspect of Newton’s legacy, by showing that Newtonian theories of motion and gravitation gave incredibly accurate predictions of the motions of the Moon and other planetary phenomena. The master of them all 2016-01-07T05:00:00Z The study builds upon the foundational Euler equation formulated by Leonhard Euler in 1757 to describe the flow of eddy currents. Groundbreaking mathematical proof: New insights into typhoon dynamics unveiled 2023-09-29T04:00:00Z The Washington Post spoke to Euler recently about women and aging. Why women need to ignore societal messages about growing older 2022-10-22T04:00:00Z This approach is the basis of Euler’s Method. Calculus, Vol 2 2016-03-30T00:00:00Z Although Euler did not discover the number, he showed many important connections between e and logarithmic functions. Calculus, Volume 1 2016-03-30T00:00:00Z Again, we have the form where is the starting value, and is Euler’s constant. Algebra and Trigonometry 2015-02-13T00:00:00Z “It’s kind of like a big Slip ‘N Slide,” Euler said. That Sigh You Hear Is the Sound of Danger Escaping From Risky Sports 2022-02-07T05:00:00Z “It was not only her talent, but her ambition and drive to improve herself,” Euler said. Eileen Gu Is Trying to Soar Over the Geopolitical Divide 2022-02-03T05:00:00Z Euler’s Method is a numerical technique that can be used to approximate solutions to a differential equation. Calculus, Vol 2 2016-03-30T00:00:00Z We still use the notation e today to honor Euler’s work because it appears in many areas of mathematics and because we can use it in many practical applications. Calculus, Volume 1 2016-03-30T00:00:00Z Complex numbers were invented by people and represent over a thousand years of continuous investigation and struggle by mathematicians such as Pythagoras, Descartes, De Moivre, Euler, Gauss, and others. Algebra and Trigonometry 2015-02-13T00:00:00Z Leonhard Euler was an 18th-century Swiss mathematician who solved hundreds of knotty problems in acoustics, finance, navigation and many other fields. The Texas Oil Heir Who Took On Math’s Impossible Dare 2022-01-31T05:00:00Z But private sector economists are less optimistic, with credit insurer Euler Hermes trimming its 2021 growth forecast by half a percentage point to 5.4%. Analysis: Locked-down Europe - cash to spend, nowhere to spend it 2021-03-24T04:00:00Z If you are unable to solve the initial-value problem, the exact solution will be provided for you to compare with Euler’s method. Calculus, Vol 2 2016-03-30T00:00:00Z But relatively few see a need for their kids to understand quantum mechanics or Euler’s Identity. Perspective | America’s top SAT school makes another disputed attempt at diversity 2020-10-03T04:00:00Z An attorney for the city of Elwood, Joel Euler, did not immediately return a message left Tuesday by The Associated Press seeking comment. Missouri woman sues Kansas city, ex-cop who groped her 2020-07-28T04:00:00Z They include a first edition of Newton’s masterwork, “Principia,” or “The Principles,” as well as dozens of volumes by such distinguished figures as Euler and Gauss. The Texas Oil Heir Who Took On Math’s Impossible Dare 2022-01-31T05:00:00Z There was already a rising trend in 2019 in big corporate insolvencies, according to figures from insurer Euler Hermes at the end of the year. Insurers face double whammy from coronavirus crisis 2020-03-12T04:00:00Z You can determine the behavior of all first-order differential equations using directional fields or Euler’s method. Calculus, Vol 2 2016-03-30T00:00:00Z At any rate, every time I line up at the grocery I will now think about the 18th-century Swiss mathematician Leonhard Euler. How mathematics can save your life 2020-01-19T05:00:00Z Tariffs the president has already imposed on Europe have, according to credit analysts Euler Hermes, affected UK businesses more than firms in any other EU country except Germany. Trump vaunts his China trade pact – but some say it’s too little, too late 2020-01-11T05:00:00Z Credit insurance firm Euler Hermes has hiked its forecast for the UK economy next year. FTSE 250 rockets to record high; US and China agree phase one deal - business live 2019-12-13T05:00:00Z “The software was able to imitate the voice, and not only the voice: the tonality, the punctuation, the German accent,” a Euler Hermes spokesperson later told The Washington Post. Thieves are now using AI deepfakes to trick companies into sending them money 2019-09-05T04:00:00Z What we have just shown is the idea behind Euler’s Method. Calculus, Vol 2 2016-03-30T00:00:00Z The company declined to name the victim companies, or say whether the Euler Hermes case was one of them, but noted that the losses in one of the cases totaled in the millions of dollars. An artificial-intelligence first: Voice-mimicking software reportedly used in a major theft 2019-09-04T04:00:00Z “Markets will probably be miserable no matter what the outcome,” said Dan North, chief economist at Euler Hermes North America in Baltimore. U.S. job gains seen picking up, may soothe jittery markets 2019-01-04T05:00:00Z Dr. Knuth addresses Euler’s classic problem in the first volume of his treatise. The Yoda of Silicon Valley 2018-12-17T05:00:00Z Euler Hermes declined to name the energy firm or its German parent company. Thieves are now using AI deepfakes to trick companies into sending them money 2019-09-05T04:00:00Z Make a table of errors for the relative error between the Euler’s method solution and the exact solution. Calculus, Vol 2 2016-03-30T00:00:00Z The money, totaling 220,000 euros, was funneled through accounts in Hungary and Mexico before being scattered elsewhere, Euler Hermes representatives said. An artificial-intelligence first: Voice-mimicking software reportedly used in a major theft 2019-09-04T04:00:00Z Euler Hermes said uncertainty due to Brexit was likely to shave up to 0.1 percentage points off British economic growth every quarter until an agreement was reached. Euler Hermes sees 70 percent chance of Brexit deal at last minute 2018-10-18T04:00:00Z Scale bar, 5 nm. e, Euler angle distributions of particles included in the calculation of the three final maps. Structure of the alternative complex III in a supercomplex with cytochrome oxidase 2018-04-24T04:00:00Z Still, analysts say job seekers — the unemployed, the underpaid, those who desire a change — are in great shape, according to Dan North, chief economist at Euler Hermes North America, a credit insurance firm. U.S. economy added 103,000 jobs in March; unemployment rate stays at 4.1 percent 2018-04-06T04:00:00Z Mathematicians, even the old greats like Gauss and Euler, were trying to gather experimental evidence. The Hidden Depth in Math's Simple Puzzles 2018-01-17T05:00:00Z Dan North, chief economist at Euler Hermes North America, a global credit insurance company, said the rising demand for workers at firms across the country lately isn’t enough to significantly increase paychecks. Wages remain mostly stagnant despite unemployment hitting new lows 2017-12-08T05:00:00Z There is a 5 percent chance of Britain remaining in the EU, Euler Hermes said. Euler Hermes sees 70 percent chance of Brexit deal at last minute 2018-10-18T04:00:00Z You don't get the important Euler–Lagrange equation, which describes particle motion, until Lecture 4. Relativity: Final ascent of physics : Nature : Nature Research 2017-09-19T04:00:00Z Avenue Capital and Euler Hermes declined to comment. Without insurance, some vendors balk at stocking Sears’ shelves 2017-08-25T04:00:00Z In June, the German government began offering export credit guarantees via insurance group Euler Hermes for firms wanting to trade with Iran. Frustrated Europe hopes Clinton win can spur elusive Iran deals 2016-11-01T04:00:00Z I suppose perhaps only Haber, Euler and Newton have contributed more to humanity! ‘The Turing Test’ review: An AI game that achieves a rare harmony of gameplay and narrative 2016-09-09T04:00:00Z The German government in June settled a longstanding debt dispute with the Iranian government, handled through Euler Hermes, which reopened export-credit guarantees for companies that want to trade with Iran. German Businesses Blame U.S. for Iran Trade Disappointment 2016-08-31T04:00:00Z “Most of them run into Euler, or Gauss or some other big name,” he says. Majority of mathematicians hail from just 24 scientific ‘families’ 2016-08-25T04:00:00Z Avenue Capital and Euler Hermes declined to comment. Without insurance, some vendors balk at stocking Sears’ shelves 2017-08-25T04:00:00Z In solving the problem, the mathematician Leonhard Euler abstracted the city map by representing each land mass by a node and each bridge by a line segment. The Importance of Recreational Math 2015-10-12T04:00:00Z According to Donna Euler, the adoption program director at Idaho Youth Ranch, there are more people seeking to adopt newborns than there are newborns for adoption. A parent for life 2016-05-21T04:00:00Z “Nevertheless, Iran is going to be an interesting market in the long term, especially for German exporters,” Euler Hermes’s Mr. Subran said. German Businesses Blame U.S. for Iran Trade Disappointment 2016-08-31T04:00:00Z "I am seeing one rate hike this year and I don't think it will be in June," said Dan North, chief economist at Euler Hermes North America in Baltimore. Good U.S. payrolls gains seen, but swelling labor force to cap wage growth 2016-05-06T04:00:00Z “The business investment is down, and again, it’s this uncertain environment,” said Dan North, a chief economist at Euler Hermes, a credit insurance company. U.S. economy slows, with GDP growing 0.5% in first quarter 2016-04-28T04:00:00Z Project Euler problems mostly add computation to mathematical insight. The Importance of Recreational Math 2015-10-12T04:00:00Z Euler encourages people with questions about adoption to call Idaho Youth Ranch. A parent for life 2016-05-21T04:00:00Z Euler Hermes, a limits underwriter, recently introduced a plan called Simplicity, aimed at helping businesses with $1 million to $5 million in sales. Protecting Your Business, and Your Bank Account, in Case Clients Don’t Pay 2016-03-18T04:00:00Z A century later, Leonhard Euler proved it for n = 3, and Sophie Germain's work led to a proof for infinitely many exponents, but still not for all. Fermat's last theorem earns Andrew Wiles the Abel Prize 2016-03-14T04:00:00Z Dr. Sam Euler is full time instructor, or “overseer” of the clinic. University dental students provide free services to veterans 2016-03-02T05:00:00Z The few students in my current batch who say they still do mathematical puzzles seem partial to a website called Project Euler, whose computational problems require not just mathematical insight but also programming skill. The Importance of Recreational Math 2015-10-12T04:00:00Z Getting rid of the box may be harder for the county, said HR Director Curt Euler. Asheville bans criminal record questions on job applications 2016-01-17T05:00:00Z He was covered through a Euler Hermes policy, and he turned to the company to negotiate on his behalf. Protecting Your Business, and Your Bank Account, in Case Clients Don’t Pay 2016-03-18T04:00:00Z Euler dominated almost all branches of mathematics, as well as physics, astronomy and engineering, during the Enlightenment era. History: A mathematical revolutionary : Nature : Nature Publishing Group 2015-12-08T05:00:00Z Photograph: Michel Euler/AP Long traffic jams built up during the morning rush hour in Paris, and journeys were also disrupted in Cannes, where the Cannes Lions advertising festival was taking place. Courtney Love berates Hollande over 'unsafe taxi ride' in Paris 2015-06-25T04:00:00Z Earlier in the day Bloomberg reported, citing anonymous sources, that insurer Euler Hermes Group has sent out cancellation notices and that fellow insurer Coface SA has indicated that it plans to do the same. AP-IL—Illinois News Digest 12 am, IL 2014-10-09T04:00:00Z That is because of the large number of social workers, jail employees and others who work in very sensitive positions, Euler said. Asheville bans criminal record questions on job applications 2016-01-17T05:00:00Z Leonhard Euler, an 18th-century mathematician, puzzled over another type of exotic magic square, one made entirely of squared numbers. Can You Solve a Puzzle Unsolved Since 1996? 2014-10-07T04:00:00Z Leonhard Euler, written by historian of mathematics Ronald Calinger, is perhaps the first biography that attempts to offer a panoramic view of this immense body of work. History: A mathematical revolutionary : Nature : Nature Publishing Group 2015-12-08T05:00:00Z Euler Hermes declined to confirm those cancellations, but said it was closely monitoring the situation. Sears: Why the troubled chain's vendors are worried 2014-10-05T04:00:00Z “The teachers are so busy trying to learn the standards, they can’t offer him anything advanced,” Euler said. Glenn Beck takes to the theaters to attack Common Core Euler Hermes argues that the biggest impact will be if the World Cup, by highlighting social unhappiness with Brazil’s economy, triggers lasting structural change. Will Investors In Brazil See A World Cup Dividend? 2014-06-12T04:00:00Z Dan North, chief economist at Euler Hermes North America, a large insurer. The Chatter: The Chatter for Sunday, May 3 2014-05-03T17:44:49Z At the centre of analysis, Euler placed the concept of differential equations: those that link a function and its derivatives, and in which the solution consists of calculating the function itself. History: A mathematical revolutionary : Nature : Nature Publishing Group 2015-12-08T05:00:00Z Euler Hermes Group, one of the top underwriters, told clients this week that it was cancelling coverage for new shipments, said a person informed of the new policy. Sears: Why the troubled chain's vendors are worried 2014-10-05T04:00:00Z The great 18th-century mathematician Leonhard Euler, who was born in Switzerland but did most of his work in Berlin and St. Petersburg, Russia, was the first one down this road. Out There: In the End, It All Adds Up to – 2014-02-03T19:59:21Z "GDP tends to be backward looking," said Dan North, lead economist at Euler Hermes Americas in New York. Second-quarter GDP to slow sharply on tax burden 2013-07-29T21:46:02Z Euler was arguably the most important mathematician of the 18th century and one of the greatest of all time. Leonhard Euler honoured by Google doodle 2013-04-14T23:45:59Z Euler demonstrated the power of this innovative science when he applied it to physical problems, such as the laws of the mechanics of solid bodies. History: A mathematical revolutionary : Nature : Nature Publishing Group 2015-12-08T05:00:00Z Photograph: Michel Euler/AP The same old song has been playing since the beginning of the Leveson inquiry, and now that press regulation has finally materialised and is on the table, it's getting louder. If you think the French press is stifled by regulation, ask Jérôme Cahuzac 2013-03-22T15:56:23Z Photograph: Michel Euler/AP Thousands of demonstrators took to the streets of Paris on Sunday to protest against the spread of economic "austerity" in France and . French protesters march in 'resistance' to austerity 2012-09-30T15:48:42Z Euler thought about the different regions of land in Königsberg as nodes linked by lines representing the different bridges. What links Alzheimer's disease, the bridges of Königsberg and Twitter? 2012-07-18T16:11:37Z When Catherine the Great succeeded to the throne, Euler returned to Russia, where he died in 1783. Leonhard Euler honoured by Google doodle 2013-04-14T23:45:59Z Just as he was unfazed by blindness, Euler did not let these troubles hinder his mathematical creativity. History: A mathematical revolutionary : Nature : Nature Publishing Group 2015-12-08T05:00:00Z For instance, I admire many mathematicians and physicists such as the likes of Euler, Poincaré, Maxwell or Schrödinger. 30 under 30: A Graphene Researcher and Competitive Equestrian 2012-06-18T12:45:00.223Z “There’s no escaping the fact that just about everywhere you look there’s a slowdown in global growth,” said Dan North, North American chief economist for credit insurance firm Euler Hermes. Markets tumble on weak unemployment report amid fear that U.S. recovery has stalled 2012-06-01T23:12:00Z The announcement echoes statements by peers Euler Hermes SA and Coface in recent days amid mounting uncertainty over whether Greece will remain in the euro. Greek Firms Face Insurance Heat 2012-06-01T14:15:18Z It is the sibling of a statement concerning even numbers, named the strong Goldbach conjecture but actually made by his colleague, mathematician Leonhard Euler. In Their Prime: Mathematicians Come Closer to Solving Goldbach's Weak Conjecture 2012-05-11T12:15:00.197Z R. C. Euler, and H. S. Colton for their constructive criticism of this description. Mohave Pottery 2012-04-26T02:00:09.420Z A corollary of this law which was first expressly deduced by Euler is that a body can never be set rotating or made to cease rotating of itself but only by forces and other bodies. Popular scientific lectures 2012-04-24T02:00:17.273Z A simple example, such as might be taken of the particular case considered by Euler, may help to make these theorems clear. Lord Kelvin An account of his scientific life and work 2012-04-06T02:00:32.097Z Roughly two thirds of European companies that become insolvent will eventually file for bankruptcy, according to Ludovic Subran, chief economist of Euler Hermes, a credit insurance firm in Paris. DealBook: Europe's Banks Reluctant to Aid Companies in Need of Cash 2012-02-06T16:50:43Z This is only in keeping with the dead view of nature which prevailed at Euler's time as the correlative of the immaterial soul. The World As Will And Idea (Vol. 1 of 3) 2011-12-29T03:00:18.017Z Euler Hermes based its deficit forecast on a growth estimate of 0.7 percent after taking into account Spain’s austerity efforts in August. Spain Slipping on Deficit Means Possible Contagion: Euro Credit 2011-10-24T22:23:04Z Many of the greatest mathematicians of the age, such as de Moivre and Laplace, were French by birth, while others like Euler belonged to French-speaking races, and wrote in French. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 2 "French Literature" to "Frost, William" 2011-10-14T02:00:26.280Z Appended to this Book, or more often to the course in solid geometry, is frequently found a proposition known as Euler's Theorem. The Teaching of Geometry 2011-10-12T02:00:52.133Z Diderot gladly consented, and although the name of the mathematician is not given, it is well known to have been Euler. The Seven Follies of Science [2nd ed.] A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. 2011-06-30T02:00:34.290Z Euler carried out the idea completely with circles. The World As Will And Idea (Vol. 1 of 3) 2011-12-29T03:00:18.017Z So, according to Euler, a fixed star in the heavens may still, on account of its distance, continue to transmit its light, though it has long since been consumed to ashes. The Invisible Lodge 2011-06-09T02:00:19.470Z Notwithstanding the fact that generations of boys have flown kites and so eminent a mathematician as Euler investigated their theory, until recently kites remained toys unsuited for practical purposes. Sounding the Ocean of Air 2011-05-31T02:00:35.603Z Some use of crystals, or even of polyhedrons cut from a piece of crayon, is desirable when studying Euler's proposition. The Teaching of Geometry 2011-10-12T02:00:52.133Z And little did Euler dream that his work on a puzzle would be of practical use in the 20th century. The Mathematician as an Explorer 2011-05-04T13:15:00.247Z Euler's profound and inventive mind gave a new form to the science. The New Gresham Encyclopedia Volume 4, Part 3: Estremoz to Felspar 2011-04-14T02:00:59.373Z This was afterwards disproved by Leonhard Euler for the case when n = 5. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 3 "Fenton, Edward" to "Finistere" 2011-03-14T03:01:00.580Z Some time after this an operation restored Euler’s sight; but a too harsh use of the recovered faculty, along with some carelessness on the part of the surgeons, brought about a relapse. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z The third represents a crystal formed by replacing each edge of an octahedron by a plane, it being easy to see that Euler's law still holds true. The Teaching of Geometry 2011-10-12T02:00:52.133Z The following was first given by Leonhard Euler in the Petersburg Commentaries, and afterwards explained more fully in his Elements of Algebra. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z Among the contestants for the coveted honor were the chatelaine of Cirey and the celebrated Swiss mathematician, Leonard Euler. Woman in Science With an Introductory Chapter on Woman's Long Struggle for Things of the Mind 2011-01-12T03:00:29.853Z A rigorous demonstration was wanting for many years, Leonhard Euler’s proof for negative and fractional values being faulty, and was finally given by Niels Heinrik Abel. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z Euler’s knowledge was more general than might have been expected in one who had pursued with such unremitting ardour mathematics and astronomy as his favourite studies. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z Now, “they have to pay within 360 days,” said Ruth Bartonek, a spokeswoman for Euler Hermes, the agency that manages the German government’s export credit guarantees. 2010-02-03T12:04:00Z But the apparent anomaly disappeared under Euler’s powerful treatment in 1749, and his result was shortly afterwards still further assured by Clairault. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7 "Arundel, Thomas" to "Athens" Competent judges have compared him to Leonhard Euler for his range, analytical power and introduction of new and fertile theories. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5 "Cat" to "Celt" Leonhard Euler in 1747 had suggested that achromatism might be obtained by the combination of glass and water lenses. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 6 "Dodwell" to "Drama" Euler’s genius was great and his industry still greater. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z Leonhard Euler, to whom Turnor refers, was a famous Swiss mathematician who had given much study to these things. The Great Events by Famous Historians, Volume 14 One of these was on Locke's "Essay on the Human Understanding," the other on Euler's works. Reminiscences, 1819-1899 He traced the science downwards, in all its historical bearings, from Thales, Archimedes, and Euclid, to Newton, Euler, Leibnitz, and Laplace. Tales from "Blackwood," Volume 2 There was a total absence of orderly development, and until the first third of the 19th century had passed, Euler’s classical paper remained alike the chief result and the only scientific method of combinatorial analysis. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 7 "Columbus" to "Condottiere" In 1727, on the invitation of Catherine I., Euler took up his residence in St Petersburg, and was made an associate of the Academy of Sciences. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z The relations between the terms in the four forms are represented by simple diagrams known as Euler's circles. Logic, Inductive and Deductive In the night they two--Waidewuthis and the boy--are lying by the fire, and Waidewuthis. occupies himself in kindling the boy's courage towards the idea of the godly-might of the Euler of a People. The Serapion Brethren. Vol. II The theory of continuants is due in the first place to Euler. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 2 "Constantine Pavlovich" to "Convention" The method employed is essentially that of Euler. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 7 "Columbus" to "Condottiere" In 1741 Euler accepted the invitation of Frederick the Great to Berlin, where he was made a member of the Academy of Sciences and professor of mathematics. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z Unless P is a class name, the ordinary doctrine of distribution is nonsense; and Euler's diagrams are meaningless. Logic, Inductive and Deductive Such, again, was Euler's argument, that minus multiplied by minus gives plus, because it could not give the same as minus multiplied by plus, which gives minus. Analysis of Mr. Mill's System of Logic Slow-breeding man has been known to double his number in twenty-five years, and according to Euler, this might occur in little over twelve years. Was Man Created? Euler’s pioneering work in the subject rests on the observation that the algebraic multiplication xa � xb � xc � ... xa+b+c+ ... is equivalent to the arithmetical addition of the exponents a, b, c, ... Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 7 "Columbus" to "Condottiere" On its being ascertained that the farm belonged to Euler, the general immediately ordered compensation to be paid, and the empress Elizabeth sent an additional sum of four thousand crowns. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z The sublime remark of Euler on his law of arches, "This will be found contrary to all experience, yet is true;" had already transferred nature into the mind, and left matter like an outcast corpse. Nature Lambert is seventeen miles in diameter, and Euler nineteen, while Timocharis is twenty-three miles broad and 7,000 feet deep below its walls, which rise only 3,000 feet above the surface of the Mare. Pleasures of the telescope An Illustrated Guide for Amateur Astronomers and a Popular Description of the Chief Wonders of the Heavens for General Readers In Euler’s well-known Circles, each was supposed to contain a class, and the Diagram consisted of two circles, which exhibited the relations, as to inclusion and exclusion, existing between the two Classes. Symbolic Logic The scientific history of the century after Newton, summarized in the above table of dates, embraces the labours of the great mathematicians Clairaut, Euler, D'Alembert, and especially of Lagrange and Laplace. Pioneers of Science In 1766 Euler with difficulty obtained permission from the king of Prussia to return to St Petersburg, to which he had been originally invited by Catherine II. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z Diderot gladly consented: though the name of the mathematician is not given, it was Euler. A Budget of Paradoxes, Volume II She succeeded in persuading Euler to return to a capital whither he had been invited many years before by the first Catherine, and where he now remained. Diderot and the Encyclopædists Volume II. The mathematician Euler could repeat the Aeneid of Virgil from beginning to end, containing nearly nine thousand lines. A Book for All Readers An Aid to the Collection, Use, and Preservation of Books and the Formation of Public and Private Libraries Various theories have been advanced by scientists to account for the phenomenon, and the two most noted views are the corpuscular, promulgated by Sir Isaac Newton, and the undulatory, enunciated by Huygens and Euler. Practical Mechanics for Boys Theory, however, is frequently unsoundly applied in it, and it is to be observed generally that Euler’s strength lay rather in pure than in applied mathematics. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z Philosophers, scientists, and mathematicians, as Galileo, Bacon, Newton, Euler, Dalton, in fact, those who have dwelt upon the exact sciences, seem to have escaped many of the ills from which humanity suffers. Pushing to the Front The portraits are very fine at the library; and we saw those of Euler and Bernouilli, the mathematicians. Young Americans Abroad Vacation in Europe: Travels in England, France, Holland, Belgium, Prussia and Switzerland Deprive Euler of his eyesight, and he but studies harder upon mental problems, thus developing marvelous powers of mathematical calculation. How to Succeed or, Stepping-Stones to Fame and Fortune I begin," says Euler, "with considering an objection which almost all the Philosophical Systems have started against prayer. Modern Atheism under its forms of Pantheism, Materialism, Secularism, Development, and Natural Laws Euler, assisted by his eldest son Johann Albert, was a competitor for these prizes, and obtained both. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z The case of one of these officials, Herr Euler, was rather hard. The Atlantic Monthly, Volume 20, No. 118, August, 1867 These alternatives can obviously be illustrated by Euler’s diagrams as they appear in logical textbooks. The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Euler's diagrams are used to illustrate the syllogism, though not very satisfactorily, thus: Fig. Logic Deductive and Inductive Euler has a bright central mountain, and is a centre of white silvery streaks. The Moon A Full Description and Map of its Principal Physical Features The inherent difficulties of this task were immensely enhanced by the fact that Euler was virtually blind, and had to carry all the elaborate computations it involved in his memory. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z Euler, although farther advanced than Newton in a knowledge of the planetary pertubations, refused also to admit that the solar system was constituted so as to endure for ever. Biographies of Distinguished Scientific Men This was first discovered by Euler, the great mathematician. Amusements in Mathematics Toward understanding clearly the relations of the terms of a proposition, it is often found useful to employ diagrams; and the diagrams most in use are the circles of Euler. Logic Deductive and Inductive Euler alone, he found, to be an exception to this general law, as the volume of its crater appeared to be twice as great as that of the mass surrounding it. All Around the Moon Euler’s constitution was uncommonly vigorous, and his general health was always good. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z This is the element which ought to have chiefly varied, according to the learned speculations of Newton and Euler. Biographies of Distinguished Scientific Men Euler was my classmate; together we labored for knowledge, and our first manly sympathies run in the same channel. Scenes in Switzerland The renowned mathematician, Euler, was lured from Berlin to St. Petersburg. The Empire of Russia Right ahead of them rose Lambert about a mile in height; and further on, more to the left, in the direction of Oceanus Procellarum, Euler revealed itself by its glittering radiations. All Around the Moon The odes compiled by Confucius testify to the early worship of Shangte, the Supreme Euler. Oriental Religions and Christianity A Course of Lectures Delivered on the Ely Foundation Before the Students of Union Theological Seminary, New York, 1891 But might not other forces, by combining with attraction, produce gradually increasing perturbations as Newton and Euler dreaded? Biographies of Distinguished Scientific Men Gretchen and her husband were with us, and Gretchen number two was my especial escort, leading me through the rooms, and introducing me in her naive manner, "Mamma's friend, and papa's, and uncle Euler's." Scenes in Switzerland He is an omnipresent will as the Father, Creator, and Euler of all things. Ten Great Religions An Essay in Comparative Theology The theory was espoused and defended by the celebrated mathematician, Euler. Six Lectures on Light Delivered In The United States In 1872-1873 Mount Euler alone was an exception to this general law, and it must have taken several successive eruptions to form it, for the volume of its cavity is double that of its inclosure. The Moon-Voyage Euler had already in 1746 published tables of the moon, founded on his solution of the same problem, the details of which he subsequently published in 1753.—Translator. Biographies of Distinguished Scientific Men The man of intelligence was continued by successors like Bernoulli, Euler, Lagrange, and Laplace, the greatest names in modern mathematics. Library of the World's Best Literature, Ancient and Modern — Volume 2 The members of the Academy were frightened; their pensions depended upon the President's good will; and even the illustrious Euler was not ashamed to take part in this absurd and disgraceful condemnation. Books and Characters French and English Newton's preponderance was in some degree due to the fact that, though Huyghens and Euler were right in the main, they did not possess sufficient data to prove themselves right. Six Lectures on Light Delivered In The United States In 1872-1873 Number, or a talent for calculation—in the portraits of Euler, Kepler, Laplace, Gassendi, &c., and in George Bidder, Humboldt, and Colburn, large. The Mirror of Literature, Amusement, and Instruction Volume 20, No. 558, July 21, 1832 The theory of the planetary movements is identified with the name of Laplace; hardly is a passing allusion made to the eminent labours of D'Alembert, of Clairaut, of Euler, of Lagrange. Biographies of Distinguished Scientific Men This is the element which ought to have varied most, on the principles held by Newton and Euler. Library of the World's Best Literature, Ancient and Modern — Volume 2 Fechner's "psycho-physics," a science which was founded by him in continuation of the investigations of Bernoulli, Euler, and especially of E.H. History of Modern Philosophy From Nicolas of Cusa to the Present Time The earlier researches of Euler had shown that the Earth would have a natural oscillation period of 305 days provided it were an absolutely rigid body. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 Sir W. Hamilton observed that Grotius, Pascal, Leibnitz, and Euler were not less celebrated for their intelligence than for their memory. Anomalies and Curiosities of Medicine Fortunately Euler appended to his memoir a supplement truly worthy of his genius. Biographies of Distinguished Scientific Men Euler, better instructed than Newton in a knowledge of these perturbations, also refused to admit that the solar system was constituted so as to endure forever. Library of the World's Best Literature, Ancient and Modern — Volume 2 The algorithm used is the standard series for Catalan, accelerated by an Euler transform. Catalan's Constant [Ramanujan's Formula] The value of the constant known as Euler's, and the Bernoullian numbers up to the 62nd, he worked out to an unimagined degree of accuracy. The Project Gutenberg Encyclopedia Volume 1 of 28 This seems to have been nearly the opinion of Dr. Halley and Mr. Euler. The Botanic Garden A Poem in Two Parts. Part 1: the Economy of Vegetation Some years afterwards the names of Daniel Barnoulli, of Euler, and of Fontaine came to be added to so many great names. Biographies of Distinguished Scientific Men But might not other forces, combined with the attraction of gravitation, produce gradually increasing perturbations such as Newton and Euler feared? Library of the World's Best Literature, Ancient and Modern — Volume 2 These Euler, Lexell, and Kraft undertook some years ago to examine and publish, but the result of this examination has never appeared. The Atlantic Monthly, Volume 05, No. 30, April, 1860 They call Him the Supreme Euler! the Almighty! the Disposer of events! the Judge of the whole earth!—and would not "presume" to say "Father, help thy little child!" Home Again The computation of their perturbations and ephemerides by Euler’s and Lagrange’s method of variable elements became so laborious that Encke devised a special process for these, which can be applied to many other disturbed orbits. History of Astronomy Everything in Euler and his family was built on a more parsimonious and niggardly plan. Jean-Christophe, Volume I Old Euler,—his son-in-law,—and farther off, the comrades of his childhood, little girls with whom he had played, —and there, a name which stirred his heart: Ada…. Jean-Christophe Journey's End Euler, Franklin, Buckle and others have expressed similar views; and the Egyptians, the Persians, and the Arabians according to many writers, including Mr. Warton and the Rev. Mr. Lambe, have also so regarded it. Chess History and Reminiscences "No, I have come to visit the medical college, and to speak with the learned and renowned Euler." Berlin and Sans-Souci; or Frederick the Great and his friends This led Euler to write a valuable essay disclosing a new method of computing perturbations, called the instantaneous ellipse with variable elements. History of Astronomy Frau Vogel, who saw everything, and old Euler, also, had not been slow to notice Christophe's interviews with their young neighbor: it was not difficult to guess their romance. Jean-Christophe, Volume I His great contemporary, Euler, was a Swiss, transplanted first to St. Petersburg, then invited by Frederick the Great to become a member of the Berlin Academy, then again attracted to St. Petersburg. Side-Lights on Astronomy and Kindred Fields of Popular Science Euler the mathematician, one of the greatest of natural philosophers, was a distinguished instance. Character In mathematics do you look upon Euler, Laplace, or Gauss as fools? Virgin Soil Euler, on the rate of increase in the United States. The Descent of Man Old Euler would not have needed much urging to make him declare that his granddaughter had the nose of the Juno Ludovisi. Jean-Christophe, Volume I Life will never bring forth a Newton or an Euler by its rich teachings, but it may bring forth great calculators in War, such as Conde' or Frederick. On War — Volume 1 Euler again competed, and won this prize also. A History of Science — Volume 3 Euler thinks it due chiefly to the irregularity of the shape of the ball. The Brick Moon and Other Stories The Calculus of Partial Differences was introduced by Euler in 1734. History of the Conflict Between Religion and Science In vain did he try to accept Euler's memories of his grandfather. Jean-Christophe, Volume I Old Euler, going to his cellar, saw him and called him. Jean-Christophe, Volume I Euler's first memoir, transmitted to the Academy of Sciences of Paris in 1747, was on the planetary perturbations. A History of Science — Volume 3 Old Euler, a clerk, tried to explain to Christophe the difficulties of a musical career. Jean-Christophe, Volume I He tried to converse with old Justus Euler, who asked nothing better. Jean-Christophe, Volume I Euler's stories used invariably to begin with: "As I used to say to your poor grandfather…" He could remember nothing else. Jean-Christophe, Volume I Old Euler was called to witness by the indignant Amalia and sternly bade Christophe in future to refrain from speaking to or visiting them. Jean-Christophe, Volume I Euler had brought his profound mathematical genius to bear on the topic, evolving the "extraordinary conclusion that under the equator at midnight the cold ought to be more rigorous than at the poles in winter." A History of Science — Volume 3 The only place in the house where it was possible to breathe was the rooms looking into the street, Euler and his son-in-law used sometimes to go and sit on the doorstep with Louisa. Jean-Christophe, Volume I He remembered with amusement and remorse his severe judgment of the honest and tiresome Eulers! Jean-Christophe, Volume I It was so long since old Euler had been alive, and he had been such a small thing then, that what was left of him now was very poor and rather ridiculous. Jean-Christophe, Volume I |
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