| 单词 | mathematical proof |
| 例句 | While his buddies were baking out there, Milton was sitting under a ceiling fan, working out a mathematical proof. Middlesex: A Novel 2002-06-05T00:00:00Z Math majors marveled to hear Dr. Claytor, originally from Norfolk, advancing sophisticated mathematical proofs in his drawling “country” accent. Hidden Figures 2016-09-06T00:00:00Z There’s an old joke, told in Simon Singh’s excellent book Fermat’s Last Theorem, that gives a sense of the different degree of rigor of mathematical proof. Words Like Loaded Pistols 2011-10-20T00:00:00Z Even though they knew that the conclusion was wrong, they could never find a mistake in Zeno’s mathematical proof. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Archimedes refused, since his mathematical proof was not yet finished. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z One of the first mathematical proofs in history was about the incommensurability/irrationality of the square’s diagonal. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z He recommended that Mr. McBurney read Hardy’s book “A Mathematician’s Apology,” which compared the creative work of the mathematical proof to that of a painter or a poet. Simon McBurney Discusses His ?Disappearing Number? 2010-07-02T08:19:00Z Trembling but unswerving, emotionally inflexible and intellectually agile, he is completely concentrated yet always fidgeting – tugging away at the string of his hoodie, focused on his mathematical proofs. The Curious Incident of the Dog in the Night-Time; A Midsummer Night's Dream; Untold Stories – review 2013-03-17T00:05:53Z This may be because the structures of his plays are as precise as a mathematical proof. | 'Benefactors': Discord Among the Best of Married Friends 2011-04-13T22:25:29Z As with mathematical proofs, it's ultimately the results that matter: "The struggle vanishes. What remains is the work, and the work either stands or falls." Ethan Canin's 'A Doubters Almanac' is a blazingly intelligent novel 2016-02-12T05:00:00Z Often middles, too, his stories pushing you along with the intangible dread of a fable, pulling you forward with the inexorable logic of a mathematical proof. Short Stories From Joe Hill, Spiked With Mayhem and Evil 2019-10-01T04:00:00Z Liu’s style reflects this: Structurally, the book proceeds like a mathematical proof, with arguments — about science, nature, society — building upon one another toward a conclusion that has been veiled, but visible, since the beginning. ‘Three-Body’ Review: A Chinese Series Beats Netflix to the Screen 2023-02-03T05:00:00Z “Finding the right combinations of folds to create a shape is like finding the most elegant mathematical proof,” Mr. Cooper said in the comments next to the art. Art by the Numbers 2019-10-23T04:00:00Z Lines like these, from “Isis,” combine the matter-of-fact tone of film noir with the rigor of a mathematical proof: Bob Dylan: America’s Great One-Man Songbook 2016-10-13T04:00:00Z He received his undergraduate degree from Oxford and got his Ph.D. from Cambridge in 1966, largely based on his mathematical proof that showed that an expanding universe must begin in a singularity — the singularity theorem. Revisiting the Unusual Celebrity of Stephen Hawking 2021-04-18T04:00:00Z Professor Choi's mathematical proof establishes the stability of specific types of vortex structures that can be encountered in real-world fluid flows. Groundbreaking mathematical proof: New insights into typhoon dynamics unveiled 2023-09-29T04:00:00Z Amazingly, every claim that I can prove to you with a traditional mathematical proof can also be proved in zero knowledge. Where’s Waldo? How to Mathematically Prove You Found Him Without Revealing Where He Is 2023-07-01T04:00:00Z Like ChatGPT, Galactica also played fast and loose with facts, making up mathematical proofs, misstating historical dates and spinning tall tales. Meta, Long an A.I. Leader, Tries Not to Be Left Out of the Boom 2023-02-07T05:00:00Z The lack of interest was driven in part because John von Neumann, a highly regarded scientist, had in 1932 published a mathematical proof ruling out hidden-variable theories. The Universe Is Not Locally Real, and the Physics Nobel Prize Winners Proved It 2022-10-06T04:00:00Z These simulations show visually the results of the mathematical proof of the Central Limit Theorem. Introductory Business Statistics 2017-11-29T00:00:00Z The trigonometric identities, commonly used in mathematical proofs, have had real-world applications for centuries, including their use in calculating long distances. Algebra and Trigonometry 2015-02-13T00:00:00Z Sometime between 1507 and 1515, he provided credible mathematical proof for a radically new model of the cosmos, one in which the Earth and other planets orbited around a centrally located Sun. An Introduction to Geology 2017-01-01T00:00:00Z Xu and his colleagues provided formal mathematical proofs to show how price controls could theoretically balance the surplus between consumers and sellers who use artificial intelligence algorithms. An Old-Fashioned Economic Tool Can Tame Pricing Algorithms 2022-04-26T04:00:00Z Participants are invited to learn about mathematical proofs and patterns of odd and even numbers by experimenting with chess boards and dominoes. Learn About Gems and Read Aloud With a Drag Queen 2021-05-15T04:00:00Z Is there any mathematical proof for the law of averages? India v England: Root hits double hundred on day two of first Test – live! 2021-02-06T05:00:00Z Andrew Wiles is the mathematician who proved Fermat’s last theorem in the 1990s, and the Bell inequality is a mathematical proof related to a quantum paradox called nonlocality. Quantum Escapism 2020-08-22T04:00:00Z Stormfront users presented this as if it were a mathematical proof, not a notion freighted with a racist, violent history. Opinion | White Supremacy Was Her World. And Then She Left. 2020-07-17T04:00:00Z Some hope that a similar strategy could enable computers to find their own mathematical proofs. Daily briefing: Social distancing cut the flu season short 2020-05-21T04:00:00Z Quantum entanglement is at the centre of a mathematical proof.Credit: How ‘spooky’ is quantum physics? The answer could be incalculable 2020-01-15T05:00:00Z Armed with little more than a legal pad and a No. 2 pencil, Dr. Weitzman delved into issues of biological diversity, unemployment, inflation and bioengineering, often mixing complex mathematical proofs with references to Greek mythology. Martin Weitzman, environmental economist who emphasized uncertainty, dies at 77 2019-09-04T04:00:00Z In 2015, researchers documented a contagion effect for mass shootings, offering mathematical proof that mass shootings incited subsequent mass shootings. Column: Mass shooters seek notoriety, and we the media provide it. Is there another way? 2019-08-12T04:00:00Z “How I would like to write something as clean and powerful as the best kind of mathematical proof,” she writes. Parallels and Perpendiculars in the Lives of Two Extraordinary Siblings 2019-07-20T04:00:00Z But coming up with most mathematical proofs requires actual understanding of the underlying mathematics, and computers don't have that today. Quantum Computing for English Majors 2019-06-30T04:00:00Z A new programming language called TLA+ allows for mathematical proof that a software system contains no bugs, but this requires programmers with advanced math skills. Franken-algorithms: the deadly consequences of unpredictable code 2018-08-30T04:00:00Z As for people who actually believe in flat Earth theory, Fenster says, you can’t really change their minds with photographic evidence or mathematical proof of a round Earth. If a scientific conspiracy theory is funny, that doesn’t mean it’s a joke 2017-10-09T04:00:00Z Uneasy about estranging himself too far from the real world of useful applications, he pursued work in his later years that was applicable to improving the process by which mathematical proofs were produced. Vladimir Voevodsky, acclaimed mathematician who won Fields Medal, dies at 51 2017-10-07T04:00:00Z She often sketched mathematical proofs on large sheets of paper — a process her young daughter called “painting” and which Dr. Mirzakhani likened to composing a novel. Maryam Mirzakhani, first woman to win Fields Medal in mathematics, dies at 40 2017-07-15T04:00:00Z Horgan:In 1993 I argued in The Death of Proof that computer proofs and other developments were undermining the concept of traditional mathematical proofs. Quantum Computing for English Majors 2019-06-30T04:00:00Z He also offered $40,000 to a Princeton student who solved a mathematical proof, Smith said. Judge wants more details on ex-drug executive Shkreli's finances 2017-06-19T04:00:00Z It was the first rigorous mathematical proof of a market-clearing equilibrium — or the price at which the supply of an item is equal to its demand. Kenneth Arrow, Nobel laureate and seminal economist with wide impact, dies at 95 2017-02-21T05:00:00Z Even at its resolution, Catherine remains a fount of self-doubt as she examines her own mathematical proof. Strawberry Theatre Workshop actors’ relationships help ‘Proof’ add up 2017-01-30T05:00:00Z Identity and authority are distractions from a system of mathematical proof that does not require trust. We Need to Know Who Satoshi Nakamoto Is 2016-05-09T04:00:00Z The results are based on mathematical proofs exploring extreme value statistics and are of universal validity. Climate scientists worry about the costs of sea level rise | John Abraham 2016-03-02T05:00:00Z Mr. Whitney, also a model train enthusiast, liked the idea, and he remembered the mathematical proof that would allow two trains to run on the tracks and never crash. At Museum of Mathematics, Meet 2 Beavers That’ll Never Meet 2016-02-01T05:00:00Z An impenetrable mathematical proof, toggling REM sleep on and off, and the latest results from the Rosetta mission. Top multimedia picks 2015-12-16T05:00:00Z There is debate over whether a mathematical proof should be celebrated for its own sake, regardless of method, or for its elegance and form — how it was done. Chemistry: Why synthesize? 2015-12-14T05:00:00Z It establishes a standard for mathematical proof to which every subsequent mathematical work aspires. Ten books that changed the world 2015-08-07T04:00:00Z The problem is that formal verification - providing mathematical proof that a piece of software is error-free - is a complex business. How playing computer games can make the world safer - BBC News 2015-07-20T04:00:00Z “Having a mathematical proof makes it a solid piece of work that people can think seriously about.” Mathematicians Chase Moonshine’s Shadow 2015-04-07T04:00:00Z Eventually, they’ll be expected to demonstrate “deeper knowledge” through activities like creating mathematical proofs. Schools on Military Bases Opt for Common Core by Another Name 2015-03-06T05:00:00Z A mathematical proof, such as Zhang produced, “should resemble a simple and clear-cut constellation,” he wrote, “not a scattered cluster in the Milky Way.” Solving an Unsolvable Math Problem 2015-01-26T05:00:00Z “The only way to improve things is through violent methods,” he explained, smiling, as if he had reached the satisfying end of a mathematical proof. The Man to Take on Putin 2015-01-05T05:00:00Z He presents a mathematical proof that any such system must gain some energy initially to begin rotating. Can Matter Cycle through Shapes Eternally? 2013-09-05T13:15:00.560Z And it ignited a long-running debate about what constitutes a mathematical proof. Kenneth I. Appel, Mathematician Who Harnessed Computer Power, Is Dead at 80 2013-04-28T22:11:59Z People are still debating the role of computers in mathematical proof and the future of mathematics as a human endeavor. Having Fun with the 4-Color Theorem 2013-03-01T14:45:03.183Z Like a mathematical proof, a flight of stairs is a series of logical steps that flow smoothly and intuitively to their conclusion. Subway Stairs Video: What's So Funny About Logical Mistakes? 2012-06-29T13:19:36Z In prison he used toilet paper to write mathematical proofs. Friedrich Hirzebruch, Mathematician, Dies 2012-06-11T00:38:08Z In constructing a mathematical proof to see if someone cheated, the trouble is that so many variables and outliers must be taken into account. A Computer Program to Detect Possible Cheating in Chess 2012-03-20T01:33:59Z However, he is well known for not giving rigorous mathematical proofs with his work. Pierre de Fermat's Last Theorem celebrated in a cheeky Google doodle 2011-08-17T11:53:54Z Some persons, biased by the strictness of mathematical proof, insist upon the same accuracy in moral investigations. A Logic Of Facts Or, Every-day Reasoning 2011-07-22T02:00:18.543Z There is a simple mathematical proof to show why. What readers are saying 2011-07-02T23:49:03Z He is a really good scientist, but our paper is not a sham, it is a mathematical proof. Dot Earth: Extinction and its Discontents 2011-05-18T21:05:58Z Oliver Byrne’s visual rendition of Euclid’s Elements beautifully explains mathematical proofs and theorems by cleverly embedding pictures into words. Words, pictures, and the visual display of scientific information: Getting back to the basics of information design 2011-01-12T14:15:00.247Z In 1953, he came up with a new way of thinking about economic decision-making by providing convincing mathematical proof that people often put emotional considerations first. Maurice Allais, Nobel Winner, Dies at 99 2010-10-12T01:01:00Z We recognize this tediousness even in the case of the theorems of Euclid, though mathematical proof is comparatively simple. An Essay In Aid Of A Grammar Of Assent They are mainly utilitarian, and prefer mathematical proof, on which they themselves propose to rely, in proving their case. Ireland as It Is And as It Would be Under Home Rule Every succeeding theorem, formula, or equation was another puzzle in a subject which seemed to be composed of a series of difficult, unrelated, and unapplied mathematical proofs. College Teaching Studies in Methods of Teaching in the College The document she had handed up was that letter Mitya had written at the “Metropolis” tavern, which Ivan had spoken of as a “mathematical proof.” The Brothers Karamazov We say, "a great part," for another large part—to speak accurately, by far the greatest—is incapable of any exact mathematical proof. Freedom in Science and Teaching. from the German of Ernst Haeckel I refer to definitely known phenomena which no possible future development can change—I refer to mathematical proofs whose fundamental equations and operations involve no assumptions and contain no second-degree uncertainties. Skylark Three Any other triangle or rectilineal 132 figure can be worked out in the same way, which is not only the simplest method, but it carries its mathematical proof with it. The Theory and Practice of Perspective It was the first conception of mathematical proof that I had ever met with. The Reminiscences of an Astronomer His time was spent largely in reading the classic astronomers and in working out the mathematical proofs of his hypothesis. The Age of the Reformation And doubtless it is true that in approaching mathematical proofs man is to discharge his mind of all color. The Investment of Influence A Study of Social Sympathy and Service This was a triumph of scientific prescience as striking as the mathematical proof of the existence of the planet Neptune by Leverrier before it had been found by the telescope. Creative Chemistry Descriptive of Recent Achievements in the Chemical Industries And the writer has the best mathematical proof of it in the timely appearance of such works as that of Dr. E. Zasse, and others. Five Years of Theosophy If you pelt me with tabular forms, and tell me that each adult in Britain drank so many pints last year, you might just as well recite a mathematical proof. The Ethics of Drink and Other Social Questions Joints In Our Social Armour The prosecuting attorney briefly summed up the evidence, and characterized it as almost a mathematical proof of the prisoner's guilt. The Wife of his Youth and Other Stories of the Color Line, and Selected Essays I have established all my facts by mathematical proofs. The Second Deluge There is no statistical evidence to prove a uniform correspondence between birth-rates and death-rates, and it is improbable that there should be a physical law of nature whose operations cannot be demonstrated by mathematical proof. Birth Control A Statement of Christian Doctrine against the Neo-Malthusians The contraction theory, the thickness of the cooled crust of the earth, and the conformation of its surface, all give mathematical proof that evolution is impossible because of lack of time. The Evolution of Man Scientifically Disproved In 50 Arguments Although he did not contribute directly to the mathematical proofs of Newton’s theory, yet his name is closely associated with some of its greatest successes. History of Astronomy Suppose that I should say I want mathematical proof that you do feel an interest, or physical proof—something that I can measure, weigh, or see—should I be reasonable? Opening a Chestnut Burr The strongest of all our senses is sight,—yet if we look at the stars they seem to be as small as money-pieces—but mathematical proofs convince us that they are larger than the earth. Ardath What's more he will provide me with a mathematical proof—if I only give him long enough interval.... Crime and Punishment We shall endeavor to marshal some of the mathematical proofs against the false and pernicious theory of evolution. The Evolution of Man Scientifically Disproved In 50 Arguments |
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