| 单词 | Mandelbrot |
| 例句 | Mandelbrot, typically a hard, crusty biscuit, is a close relative of biscotti. Mandelbrot by Way of Florida 2020-09-28T04:00:00Z But Whitten’s big break came when he encountered the work of scientists, including Benoit Mandelbrot, on fractal geometry and began to introduce tesserae — small blocks of stone, tile, or glass used in constructing mosaics. Revealing Jack Whitten’s Secret Self 2021-01-21T05:00:00Z Benoit Mandelbrot was a mathematician who’s known for his contributions to the field of fractal geometry. Best science fiction and fantasy books to read this month 2017-11-14T05:00:00Z Mandelbrot, who worked at IBM before becoming a professor at Yale, started thinking about irregular shapes by looking at maps of Great Britain. Beno?t B Mandelbrot: the man who made geometry an art 2010-10-19T12:12:00Z It's like zooming in on a Mandelbrot set. The Adjacent by Christopher Priest – review 2013-06-26T09:56:10Z Mandelbrot used the example of a cauliflower which, like a fern, is a fractal found in nature; if you look at the smallest sections of these vegetable forms, you see them mirroring the whole. Beno?t B Mandelbrot: the man who made geometry an art 2010-10-19T12:12:00Z The Mandelbrot set, one of the most famous fractal designs, is named after him. Beno?t B Mandelbrot: the man who made geometry an art 2010-10-19T12:12:00Z He left a beautiful legacy in visual art, for Mandelbrot was the man who named and explained fractals – those complex, apparently chaotic yet geometrically ordered shapes that delight the eye and fascinate the mind. Beno?t B Mandelbrot: the man who made geometry an art 2010-10-19T12:12:00Z Mandelbrot was not the first, but with his startling fractals concept he created a visual manifesto for a non-Euclidean universe. Beno?t B Mandelbrot: the man who made geometry an art 2010-10-19T12:12:00Z Mandelbrot was a modern Leonardo, a man who showed the beauty in nature. Beno?t B Mandelbrot: the man who made geometry an art 2010-10-19T12:12:00Z His genius begins to attract the wrong kind of attention, and the jealousy of his classmates leads Mandelbrot on a desperate gambit to protect his family from the Nazis. Best science fiction and fantasy books to read this month 2017-11-14T05:00:00Z Based on materials excavated from Mr. Mandelbrot’s archives by Ms. Samuel, who was also the exhibition’s organizer, it does not feature the sorts of trippy fractal images so popular today. Books for Art Lovers 2012-11-22T20:15:43Z Figure 34.21 This image is related to the Mandelbrot set, a complex mathematical form that is chaotic. College Physics for AP Courses 2015-08-12T00:00:00Z The Mandelbrot set is usually generated by computer and shows fascinating details on enlargement, including self-replication of the set. Calculus, Volume 1 2016-03-30T00:00:00Z The defining characteristic of a fractal, such as the Mandelbrot set, “is self-similarity,” Dr. Hart said. Triangulating Math, Mozart and ‘Moby-Dick’ 2021-03-06T05:00:00Z Like the Mandelbrot set, the famous fractal icon, the Game of Life inspired the fields of chaos and complexity, which are so similar that I lump them together under a single term: chaoplexity. Quantum Mechanics, Free Will and the Game of Life 2021-02-14T05:00:00Z Isn’t that the beautiful Mandelbrot of mystery we call the human condition? Perspective | Coming out used to be about freeing yourself. Now it’s about placating everyone else. 2019-10-10T04:00:00Z Andy Yang will begin his tenure as the next CEO today, Mandelbrot said in his post, which was published yesterday. Indiegogo’s CEO steps down amid layoffs 2019-05-22T04:00:00Z Figure 4.83 The Mandelbrot set is a well-known example of a set of points generated by the iterative chaotic behavior of a relatively simple function. Calculus, Volume 1 2016-03-30T00:00:00Z Andy Yang will begin his tenure as the next CEO tomorrow, Mandelbrot said in his post. Indiegogo’s CEO steps down amid layoffs 2019-05-22T04:00:00Z “What we’re really trying to do is create a platform that’s flexible enough to meet the needs of the entrepreneurs and backers on our platform,” Mandelbrot says. Failed crowdfunded gadgets are forcing Kickstarter and Indiegogo to change 2019-04-16T04:00:00Z Mandelbrot tells The Verge that Indiegogo is planning to experiment with a new payment method for crowdfunded campaigns called “guaranteed shipping.” Indiegogo will withhold certain crowdfunding campaigns’ funds until they ship 2018-11-14T05:00:00Z A good example where you really need the computer is something like the Mandelbrot set. The Hidden Depth in Math's Simple Puzzles 2018-01-17T05:00:00Z “Our goal really is to ensure that the backer is making a conscious decision to back a project with an awareness of the risks involved,” Mandelbrot says. Indiegogo may now call a collection agency if backers aren’t kept informed about delays 2017-09-07T04:00:00Z Afterward we walked to his cluttered Prius, where he retrieved “The Fractal Geometry of Nature,” a book by the mathematician Benoit Mandelbrot featuring computer-drawn fractals. The Dirty Projectors Go Solo 2017-02-16T05:00:00Z Strange begins to open a sling-ring portal — but the ground ROTATES, and Strange and Mordo fall into a Mandelbrot world of a cathedral, brownstones, fire escapes and high-rises. Go inside 'Doctor Strange's' mind-bending fight scene 2017-01-17T05:00:00Z As Mandelbrot mentions, the company first tested this payment method in its Marketplace, which acts more like eBay or Etsy, letting creators sell products directly to users. Indiegogo will withhold certain crowdfunding campaigns’ funds until they ship 2018-11-14T05:00:00Z The Mandelbrot set, Julia sets, and all this stuff which would have been impossible to see without a lot of computation and plotting. The Hidden Depth in Math's Simple Puzzles 2018-01-17T05:00:00Z “Admittedly, that one is more challenging,” says Mandelbrot. Indiegogo may now call a collection agency if backers aren’t kept informed about delays 2017-09-07T04:00:00Z He lingered a bit more, paging through the Mandelbrot book. The Dirty Projectors Go Solo 2017-02-16T05:00:00Z “In a lot of ways, this levels the playing field,” said David Mandelbrot, Indiegogo’s chief executive. Ever Wanted to Back a Start-Up? Indiegogo Opens the Door to Small Investors 2016-11-15T05:00:00Z Of course, not every creator will be psyched to jump on this new payment method, Mandelbrot tells me. Indiegogo will withhold certain crowdfunding campaigns’ funds until they ship 2018-11-14T05:00:00Z “Venture investment is natural evolution for a lot of our entrepreneurs,” said Indiegogo Chief Executive David Mandelbrot. New Rules Give Startups Access to Main Street Investors 2016-05-11T04:00:00Z For most of his career, Mandelbrot was seen as an iconoclast to be listened to and then ignored. How Numbers Can Lie 2015-05-30T04:00:00Z It was Gardner who introduced the public to Conway's Game of Life, Penrose's aperiodic tilings of the plane, and Mandelbrot's fractals. The man who magically made maths fun 2014-10-20T04:00:00Z This is how some fractal mathematical objects, such as the Mandelbrot set — a set of complex numbers for which a particular iterated equation does not approach infinity — are generated. Iranian is first woman to nab highest prize in maths 2014-08-11T04:00:00Z In place of the heart is a Mandelbrot set, a fractal pattern widely recognized as a symbol for complexity at its most beautiful. Theoretical physics: Complexity on the horizon 2014-05-27T04:00:00Z Visualizing a Quantum-Mechanical Wonderland: “a mathematical fantasy landscape created by expanding the Mandelbrot set of fractals to three dimensions.” Physics Week in Review: January 4, 2014 2014-01-04T22:45:08.163Z As far back as the 1960′s Benoit Mandelbrot warned about excessive reliance on abstract models. How Numbers Can Lie 2015-05-30T04:00:00Z A touching short film about Mandelbrot and how he discovered fractals. Physics Week in Review: November 23, 2013 2013-11-24T12:45:05.920Z Benoit Mandelbrot, whose beautiful fractal images he brought to the public’s attention via his column in 1979, only gets a brief mention. Celebrations of Mind Honor Math s Best Friend, Martin Gardner 2013-10-29T21:45:00.387Z Samuels recalls that even years later Mandelbrot would get upset about this error. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z Thurston had been working on understanding the Mandelbrot set better, and looking at the shapes of Julia sets was a related pursuit. Fractal Kitties Illustrate the Endless Possibilities for Julia Sets 2012-09-26T19:45:04.483Z The financial crisis of 2008, just a few years before his death, largely redeemed Mandelbrot in financial circles. How Numbers Can Lie 2015-05-30T04:00:00Z I could fake math knowledge for little news stories about the Mandelbrot set or Fermat’s last theorem but a major article would be too hard! How William Thurston (RIP) Helped Bring About "The Death of Proof" 2012-08-24T18:15:05.483Z At the highest scale, the Mandelbrot Set, a famous fractal, looks like this Graphical representations of fractals at their unstable boundaries demonstrate how patterns at different scales are similar, but not identical. The Evolution Of Human Systems 2012-07-31T14:02:17Z The exhibit also reveals the work of Mandelbrot's contemporaries. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z The Mandelbrot set, one of the most famous fractals, is closely related to Julia sets of degree two polynomials: imagine the polynomial z2+c, where c can be any complex number. Fractal Kitties Illustrate the Endless Possibilities for Julia Sets 2012-09-26T19:45:04.483Z Mathematician Benoît Mandelbrot, 85 and pioneer of fractal geometry, and Harvard University chemist William Lipscomb, 91 and winner of a real Nobel Prize, both passed away since last year's ceremony. Ig Nobels Honor Bladder Control, Beer Bottle Mating 2011-09-30T18:51:18Z In our June 11th comparison of IBM and the Carnegie Corporation we wrongly awarded a Nobel prize to Benoît Mandelbrot, the pioneer of fractal geometry. Correction: IBM and the Carnegie Corporation 2011-06-16T10:56:09Z A year of studying mathematics there after he left high school brought home to Mandelbrot his extraordinary visual ability. Beno?t Mandelbrot obituary 2010-10-17T18:00:00Z She gained access to hundreds of papers and images in the office of mathematician Benoît Mandelbrot soon after his death in 2010. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z To illustrate, they approximated the shape of the famous Mandelbrot set as the outside curve and a heart as the inside curve. Fractal Kitties Illustrate the Endless Possibilities for Julia Sets 2012-09-26T19:45:04.483Z Mr. Mandelbrot also received honorary doctorates and served on boards of scientific journals. Pioneering Mathematician Dies 2010-10-17T00:34:00Z Dr. Mandelbrot coined the term “fractal” to refer to a new class of mathematical shapes whose uneven contours could mimic the irregularities found in nature. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z Mandelbrot observed that the degree of bunching remained constant whether he plotted them by the month, the week or by the day. Beno?t Mandelbrot obituary 2010-10-17T18:00:00Z Images from the field of fractal geometry entered popular culture in the mid-1980s via wildly colored, psychedelic images of a fractal that Mandelbrot investigated and now bears his name, the Mandelbrot set. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z Personally I enjoy the beauty of a Mandelbrot set, and the Fibonacci series - and I am neither mathematician nor artist, but a botanist & computer scientist. Atomic wallpaper 2010-03-05T18:17:00Z The series is Mandelbrot and his team's effort to visualize complex polynomial sets. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z Dr. Mandelbrot traced his work on fractals to a question he first encountered as a young researcher: how long is the coast of Britain? Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z Mandelbrot was struck too by Richardson's 1961 observations on the lengths of coastlines, and published a paper called How Long is the Coast of Britain? Beno?t Mandelbrot obituary 2010-10-17T18:00:00Z Forming an important part of Mandelbrot’s thought process, these changing forms provoked new questions and led to new discoveries.” Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z Seeing patterns in these pictures helped Mandelbrot decide how to adjust the input of data. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z Others show hints of shapes that foreshadow the iconic Mandelbrot set. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z “Here is a question, a staple of grade-school geometry that, if you think about it, is impossible,” Dr. Mandelbrot told The New York Times earlier this year in an interview. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z Visitors can look through a peephole in the wall to see a hidden copy of a 1985 Scientific American issue, which features a colorful picture of the Mandelbrot set on the cover. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z At first, Mandelbrot thought that the specks might be dirt from the printer. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z Dr. Mandelbrot received more than 15 honorary doctorates and served on the board of many scientific journals, as well as the Mandelbrot Foundation for Fractals. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z And for that, he said, Dr. Mandelbrot “has received quite a bit of criticism.” Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z Over nearly seven decades, working with dozens of scientists, Dr. Mandelbrot contributed to the fields of geology, medicine, cosmology and engineering. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z Besides his wife, Dr. Mandelbrot is survived by two sons, Laurent, of Paris, and Didier, of Newton, Mass., and three grandchildren. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z Mandelbrot sought to understand if those speckles, which he dubbed "islands," were connected to the larger whole. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z When asked to look back on his career, Dr. Mandelbrot compared his own trajectory to the rough outlines of clouds and coastlines that drew him into the study of fractals in the 1950s. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z In a seminal book, “The Fractal Geometry of Nature,” published in 1982, Dr. Mandelbrot defended mathematical objects that he said others had dismissed as “monstrous” and “pathological.” Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z “I decided to go into fields where mathematicians would never go because the problems were badly stated,” Dr. Mandelbrot said. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z For most of his career, Dr. Mandelbrot had a reputation as an outsider to the mathematical establishment. Benoit Mandelbrot, Mathematician, Dies at 85 2010-10-16T16:20:00Z The exhibit features a wealth of previously unpublished work: printouts of experiments on polynomial equations, found images such as magazine ads and photographs that reminded Mandelbrot of fractals as well as drawings from other mathematicians. Fractals, Chaos and Other Mathematical Visions Reside on The Islands of Benoit Mandelbrot [Video] 2012-12-21T12:45:00.487Z |
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