温州麻将的玩法

尋找隱藏的維度

發表時間:2018/4/28 7:30:57 文章來源:廣德教育網 手機版

  【片名】 尋覓隱藏的維度 \n

\n  【中文名】 PBS NOVA 尋覓隱藏的維度

\n  【英文名】 PBS NOVA Hunting the Hidden Dimension

\n  【發行時間】 2008年10月28日

\n  【制作發行】 PBS NOVA

\n  【地區】 美國

\n  【語言】 英語

\n  【類型】 記錄

\n  【片長】 5307

\n  【劇情介紹】 甚么是電影殊效,股票市場,和心臟病的共同點?它們連接了1個革命性的新的數學分支,改變了我們看世界,開辟了廣闊的新領域,以科學的分析和理解。數學家們開發不規則碎片形是從單純的好奇心到接觸幾近每個分科的理解,包括我們宇宙的命運。

\n  【原文簡介】 You may not know it, but fractals, like the air you breathe, are all around you. Their irregular, repeating shapes are found in cloud formations and tree limbs, in stalks of broccoli and craggy mountain ranges, even in the rhythm of the human heart. In this film, NOVA takes viewers on a fascinating quest with a group of maverick mathematicians determined to decipher the rules that govern fractal geometry.

\n  For centuries, fractal-like irregular shapes were considered beyond the boundaries of mathematical understanding. Now, mathematicians have finally begun mapping this uncharted territory. Their remarkable findings are deepening our understanding of nature and stimulating a new wave of scientific, medical, and artistic innovation stretching from the ecology of the rain forest to fashion design. The documentary highlights a host of filmmakers, fashion designers, physicians, and researchers who are using fractal geometry to innovate and inspire.

  Produced and directed by Emmy- and Peabody Award-winning filmmakers Michael Schwarz and Bill Jersey, the documentary weaves cutting-edge research from the front lines of science into a compelling mathematical detective story. The film introduces a number of distinguished individuals who have used fractal geometry to transform their fields, like Loren Carpenter, who created the first completely computer-generated sequence in a movie.

  In the late 1970s, Carpenter stumbled across the work of a little-known mathematician, Benoit Mandelbrot, who coined the word "fractal," from the Latin word fractus, meaning irregular or broken up. Based on Mandelbrot"s mathematical descriptions of fractals in nature, Carpenter was able to create detailed computer simulations of organic forms in a way that had never before been possible. The groundbreaking computer-generated sequence Carpenter produced in 1980 for Star Trek II The Wrath of Khan marked a milestone in movie history, and owed its creation to fractal geometry.

\n  It took a maverick with a hard-won aversion to authority to stand up to the conventional wisdom that nature stood outside the bounds of mathematics. Through interviews and personal artifacts, Mandelbrot shares the story of his struggle to survive as a Jewish teenager in Nazi-occupied France, his journey to America, and his lifelong fascination with a corps of European mathematicians whose explorations of the so-called "mathematical monsters" laid the groundwork for his own discoveries. [Read an interview with Mandelbrot, illustrated with stunning fractal images.]

\n  Filmmaker Bill Jersey believes Mandelbrot"s approach to fractals might ultimately become as significant as the cracking of the genetic code. "As fractals continue to revolutionize the way scientists develop theories and conduct research, the inevitable results will be innovations that dramatically change health care, environmental policy, design, and technology," Jersey says.

\n  In 1980, Mandelbrot published a mesmerizing image known as the Mandelbrot set. (To explore the set, go to A Sense of Scale.) The intricate, mysterious beauty of this image, which was generated by a single mathematical function, won him acclaim from an unexpected quarter\u2014the world of popular culture. But fractals are more than pretty pictures. Almost all living things distribute nutrients through their bodies via branching networks, such as systems of blood vessels, that obey the rules of fractal geometry.

\n  In Toronto, physicist Peter Burns is making a mathematical model of blood vessels to find ways to diagnose cancer earlier than is now possible. In Boston, cardiologist Ary Goldberger has discovered that, contrary to centuries of belief, a healthy human heartbeat does not have an even pattern like a metronome but rather a jagged, variable fractal pattern\u2014a discovery that one day may help doctors diagnose cardiac disease before damage is done.

\n  "This film is about looking at the world around us in a completely different way," says producer Michael Schwarz. "If you pay attention, you can see that fractals appear throughout nature. But until Benoit Mandelbrot came along, no one really understood what was there all along." (To create your own colorful versions of the Mandelbrot set, see Design a Fractal.)

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