单词 | Bernoulli |
例句 | Daniel Bernoulli published on astronomy as well as probability. The Invention of Science 2015-09-17T00:00:00Z L’Hôpital was so enthralled by the new mathematics that he persuaded Bernoulli to send him all Bernoulli’s new mathematical discoveries for the marquis to use as he desired, in return for cash. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z When Bernoulli saw the solution, he commented, “We recognize the lion by his claw.” Cosmos 1980-01-01T00:00:00Z At the time the mathematical community rejected Bernoulli’s claims; not only had l’Hôpital proved himself an able mathematician, but Johann Bernoulli had a tarnished reputation. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z L’Hôpital bought himself the best teacher that money could buy: Johann Bernoulli, a Swiss mathematician and one of the early masters of Leibniz’s calculus of infinitesimals. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z In this case, though, Johann Bernoulli’s claim was justified. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z The Bernoulli project, as the Organization calls it, is set in motion after a post-Soviet Union nuclear warhead in Kazakhstan goes missing and Israeli intelligence concludes that Iran has a bead on it. Review | ‘Last Instructions’ echoes ‘The Manchurian Candidate’ — with a modern twist 2018-06-10T04:00:00Z But Bernoulli's theorem doesn't explain why that higher velocity on top of the wing lowers pressure. 6 common misconceptions about flying 2021-08-09T04:00:00Z For instance, 18th-century Swiss mathematician Daniel Bernoulli is credited with developing the first mathematical epidemiology model, which focused on analyzing the effects of smallpox inoculation on life expectancy. How Mathematics Can Predict—and Help Prevent—the Next Pandemic 2023-04-06T04:00:00Z Approximately what is the force due to the Bernoulli effect on a roof having an area of 220 m2 ? College Physics for AP Courses 2015-08-12T00:00:00Z A binomial process, often called a Bernoulli process after the first person to fully develop its properties, is any case where there are only two possible outcomes in any one trial, called successes and failures. Introductory Business Statistics 2017-11-29T00:00:00Z A series of Bernoulli trials are conducted until one is a success, and then the experiment stops. Introductory Statistics 2013-09-19T00:00:00Z Published in 1843, Lovelace added her own notes including Section G, which outlined an algorithm to calculate Bernoulli numbers. 3 Revolutionary Women of Mathematics 2022-03-09T05:00:00Z Bernoulli’s theorem says that the increased speed atop the wing is associated with a region of lower pressure there, which is lift. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Bernoulli's equation describes the conservation of energy in a fluid flow. College Physics for AP Courses 2015-08-12T00:00:00Z Physics teachers point to Bernoulli's theorem and Newton's third law of motion, yet each fails to give a comprehensive account of the dynamics at play. Introducing the February 2020 Issue 2020-01-14T05:00:00Z A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials. Introductory Statistics 2013-09-19T00:00:00Z To prove it, Lovelace wrote what is often regarded as the first computer program in history, an algorithm with which the Analytical Engine would calculate the Bernoulli sequence of numbers. The Secret History of Women in Coding 2019-02-13T05:00:00Z The third problem provides the most decisive argument against regarding Bernoulli’s theorem as a complete account of lift: An airplane with a curved upper surface is capable of flying inverted. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z This means that if we multiply Bernoulli's equation by flow rate Q , we get power. College Physics for AP Courses 2015-08-12T00:00:00Z In the second test, we again simulated n Bernoulli trials; however, we let p equal the player’s season shooting percentage up to the start of the game being tested. Do the Golden State Warriors Have Hot Hands? 2018-10-18T04:00:00Z There are one or more Bernoulli trials with all failures except the last one, which is a success. Introductory Statistics 2013-09-19T00:00:00Z Lovelace’s translations, published in 1843, clearly describe how this device worked and an algorithm that would generate Bernoulli numbers. 6 Inventions You Wouldn’t Have Without Women 2018-03-08T05:00:00Z But if neither Bernoulli’s principle nor Newton’s third law explains it, what does? No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Explain how this works in terms of Bernoulli's principle. College Physics for AP Courses 2015-08-12T00:00:00Z She did produce an elegant set of tables showing how the engine could calculate Bernoulli numbers, but based on equations supplied by Babbage. Computer science: Enchantress of abstraction : Nature : Nature Publishing Group 2015-09-01T04:00:00Z Later in the 1700s, the mathematician and astronomer Daniel Bernoulli used a similar technique to investigate the curious geometry of the solar system, in which planets orbit the sun in a flat, pancake-shaped plane. The Odds, Continually Updated 2014-09-29T04:00:00Z Economists have long known that people are risk-averse: Daniel Bernoulli, a Swiss mathematician, observed as much in the 18th century. Free exchange: Risk off 2014-01-23T15:59:50Z For these reasons, Newton’s third law is a more universal and comprehensive explanation of lift than Bernoulli’s theorem. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Water pressure inside a hose nozzle can be less than atmospheric pressure due to the Bernoulli effect. College Physics for AP Courses 2015-08-12T00:00:00Z Swiss mathematician Jacob Bernoulli Corbis Their event was part of the International Year of Statistics, a global campaign to increase the odds that nonmathematicians will think positively about number crunching. Odds Lot: Statisticians Party Like It's 2.013 x 10 Cubed 2013-11-16T03:32:26Z But Bernoulli calculated that all the planets known at the time orbited within seven degrees of the plane, known as the ecliptic. The Odds, Continually Updated 2014-09-29T04:00:00Z Researchers first learned that the hard way in 1976, when Swiss physician Christopher Bernoulli reported the unsettling news that two young epileptics died of CJD, which generally does not strike until late middle age. Surgical Exposure to a Brain-Eating Protein: A Small but Unavoidable Risk 2013-09-16T13:16:27.567Z The air above the wing is sped up in accordance with Bernoulli’s principle. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Water pressure inside a hose nozzle can be less than atmospheric pressure due to the Bernoulli effect. College Physics for AP Courses 2015-08-12T00:00:00Z He was tutored by Johann Bernoulli, a family friend who was also Europe's leading mathematician. Leonhard Euler honoured by Google doodle 2013-04-14T23:45:59Z Bernoulli’s calculations put them at about one in 13 million. The Odds, Continually Updated 2014-09-29T04:00:00Z Her notes on the Analytical Engine include a table documenting an algorithm for calculating Bernoulli numbers; hence the “first programmer” label. Google Doodle: Love for Lovelace 2012-12-10T07:50:00Z By far the most popular explanation of lift is Bernoulli’s theorem, a principle identified by Swiss mathematician Daniel Bernoulli in his 1738 treatise, Hydrodynamica. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z According to Bernoulli's equation, if the pressure in a given fluid is constant and the kinetic energy per unit volume of a fluid increases, which of the following is true? College Physics for AP Courses 2015-08-12T00:00:00Z In one of these notes, she wrote a program to calculate Bernoulli Numbers. Tuesday is Ada Lovelace Day: let's celebrate inspirational women 2012-10-13T07:00:02Z The theorems of the Bernoullis differ in form only from Lagrange's expression in the Analytical Mechanics. Popular scientific lectures 2012-04-24T02:00:17.273Z Also known as the golden theorem, with a proof attributed to the 17th century Swiss mathematician Jacob Bernoulli, the law states that a variable will revert to a mean over a large sample of results. Common Sense: Apple Confronts the Law of Large Numbers - Common Sense 2012-02-24T17:17:23Z Nevertheless, there are several reasons that Bernoulli’s theorem does not by itself constitute a complete explanation of lift. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Bernoulli's equation is, in fact, just a convenient statement of conservation of energy for an incompressible fluid in the absence of friction. College Physics for AP Courses 2015-08-12T00:00:00Z He got a big laugh recounting Stengel’s response to Bernoulli’s Law. Essay: Remembering the Mets? First Spring in 1962 2012-02-20T01:29:51Z Many other mathematicians have written on the cycloid—Blaise Pascal, W. G. Leibnitz, the Bernoullis, Roger Cotes and others—and so assiduously was it studied that it was sometimes named the “Helen of Geometers.” Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" 2012-01-31T03:00:17.257Z The Lovelace notes are remarkable both for her algorithm for calculating the sequence known as Bernoulli numbers and for what would become known as the “Lovelace objection.” Computer Experts Building 1830s Babbage Analytical Engine 2011-11-07T22:34:10Z Although it is a fact of experience that air moves faster across a curved surface, Bernoulli’s theorem alone does not explain why this is so. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z The general form of Bernoulli's equation has three terms in it, and it is broadly applicable. College Physics for AP Courses 2015-08-12T00:00:00Z Hook, who had worked on his master’s degree in thermodynamics as a Met, was remembered for explaining Bernoulli’s Law, which describes how planes stay aloft and baseballs curve. Essay: Remembering the Mets? First Spring in 1962 2012-02-20T01:29:51Z His daughters Charlotte and Therese were baptized in Switzerland by Pastor Bernoulli, and Elizabeth was baptized by Pastor Axenfeld in Cologne. Some Jewish Witnesses For Christ 2011-10-14T02:00:24.730Z Had the Analytical Engine ever actually been built, her program would have been able to calculate a sequence of Bernoulli numbers. Ada Lovelace and the Luddites. 2011-10-07T16:15:05.467Z There is also a notorious “demonstration” of Bernoulli’s principle, one that is repeated in many popular accounts, YouTube videos and even some textbooks. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z It is Bernoulli's equation for fluids at constant depth. College Physics for AP Courses 2015-08-12T00:00:00Z When he asked me six years ago for a copy of his Bernoulli’s Law story, he said that he didn’t want his 13 grandchildren to think he was merely a science geek. Essay: Remembering the Mets? First Spring in 1962 2012-02-20T01:29:51Z Italian racer Francesco Bernoulli in a scene from Cars 2: The video game. Cars 2: The Video Game ? review 2011-07-23T23:05:44Z So also was the algebraic working out of the different problems, except, indeed, that relating to the numbers of Bernoulli, which I had offered to do to save Lady Lovelace the trouble. Ada Lovelace and the Luddites. 2011-10-07T16:15:05.467Z The page rises, supposedly illustrating the Bernoulli effect. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Bernoulli's equation must be used since the depth is not constant. College Physics for AP Courses 2015-08-12T00:00:00Z Although the importance of such series, especially in the theory of vibrations, had been recognized by D. Bernoulli, Lagrange and other mathematicians, and had led to some discussion of their properties, J.B.J. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 6 "Foraminifera" to "Fox, Edward" 2011-04-22T02:00:08.637Z At the commencement of his new career he enriched the academical collection with many memoirs, which excited a noble emulation between him and the Bernoullis, though this did not in any way affect their friendship. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 8 "Ethiopia" to "Evangelical Association" 2011-03-05T03:00:24.537Z As we were lumbering down the runway, there was no Bernoulli anything happening. Frequent Flier: On a Plane, and Glad to Be Carrying Wine 2011-02-28T23:38:44Z The second shortcoming of Bernoulli’s theorem is that it does not say how or why the higher velocity atop the wing brings lower pressure, rather than higher pressure, along with it. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z All preceding applications of Bernoulli's equation involved simplifying conditions, such as constant height or constant pressure. College Physics for AP Courses 2015-08-12T00:00:00Z In 1676 Jacques Bernoulli, the Swiss savant, taught a blind girl to read, but the means of her instruction were not made known. Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 1 "Bisharin" to "Bohea" The physical explanation of Kepler's Laws was suggested by Kepler himself, while Huyghens, Bernoulli, Descartes, and many of their contemporaries believed in the existence of some kind of vortices. Aether and Gravitation The celebrated J. Bernoulli assumed this last ratio; but seeking the source of motion in the rotating central globe, he was led into a hypothesis at variance with analogy. Outlines of a Mechanical Theory of Storms Containing the True Law of Lunar Influence Without mentioning Bernoulli by name, he gave an account that is consistent with Bernoulli’s principle by saying that fluid pressure is greater where its velocity is slower, and vice versa. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z The next example is a more general application of Bernoulli's equation in which pressure, velocity, and height all change. College Physics for AP Courses 2015-08-12T00:00:00Z Bernoulli recommends for this purpose acetate of potash. The Art of Perfumery And Methods of Obtaining the Odors of Plants Thus we are led back by scientific experiment and philosophical reasoning to the conception of vortex motion with which the world was familiar in the days of Kepler, Descartes, Huyghens and Bernoulli. Aether and Gravitation 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 Many of Daniel Bernoulli’s contributions had to do with fluid flow: Air is a fluid, and the theorem associated with his name is commonly expressed in terms of fluid dynamics. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z A little later we have Daniel Bernoulli's promulgation of what we now accept as a surest article of scientific faith—the kinetic theory of gases. Scientific American Supplement, No. 460, October 25, 1884 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 Its road in the heavens was observed with exquisite skill by Flamstead and Cassini: and the mathematical science of Bernoulli, Newton, and Halley, investigated the laws of its revolutions. History of the Decline and Fall of the Roman Empire — Volume 4 On the 20th of December, 1854, a steam pleasure-yacht, the Duncan, belonging to a Scotch nobleman, Lord Glenarvan, cast anchor at Cape Bernoulli, on the western coast of Australia, near the thirty-seventh parallel. The Mysterious Island Stated simply, Bernoulli’s law says that the pressure of a fluid decreases as its velocity increases, and vice versa. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z The consideration of these phenomena forty years ago by Joule, in connection with Bernoulli's original conception, formed the foundation of the kinetic theory of gases as we now have it. Scientific American Supplement, No. 460, October 25, 1884 Rabelais, Dombey, Bernoulli, and the rest are omitted, the draftsman evidently being unable to find features to which to apply them. Terre Napoleón; a History of French Explorations and Projects in Australia In 1738 Daniel Bernoulli, a Swiss university lecturer in physics, mechanics, medicine, and anatomy, showed that as the velocity of horizontal fluid flow increases, its pressure decreases. Our Legal Heritage : 600-1776 King Aethelbert - King George III The nearest part of the coast about Cape Bernoulli, had it been accessible, was distant above one hundred and eighty miles. Journals of Two Expeditions into the Interior of New South Wales Bernoulli’s theorem attempts to explain lift as a consequence of the curved upper surface of an airfoil, the technical name for an airplane wing. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z The celebrated Bernoulli concluded by his system that the famous comet of 1680 would appear again the 17th of May, 1719. Letters on England He was succeeded by the mathematician Bernoulli and the revolutionist Condorcet. Criminal Psychology; a manual for judges, practitioners, and students In inverted flight, the curved wing surface becomes the bottom surface, and according to Bernoulli’s theorem, it then generates reduced pressure below the wing. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z This means that Bernoulli’s theorem alone is insufficient to explain these facts. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Air molecules flowing atop a wing do not behave like that, but Bernoulli’s theorem does not say why not. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z Neither Bernoulli nor Newton was consciously trying to explain what holds aircraft up, of course, because they lived long before the actual development of mechanical flight. No One Can Explain Why Planes Stay in the Air 2020-02-04T05:00:00Z |
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