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    • C2 高級

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    fractal

    US /ˈfræktəl/

    ・

    UK /ˈfræktl/

    C1 高級
    adj.形容詞分數維幾何 ; 分形
    Many people use fractal kaleidoscopes for meditation
    n.名詞碎形
    The Mandelbrot set is a famous example of a fractal.
    adj.形容詞碎形的
    Fractal compression is used to compress images efficiently.

    影片字幕

    【Khan Academy 發現實驗室】動手做中學,趣味學習無極限! (Khan Academy's Discovery Lab Offers Hands-On Learning )

    04:52【Khan Academy 發現實驗室】動手做中學,趣味學習無極限! (Khan Academy's Discovery Lab Offers Hands-On Learning )
    • but you'll have to learn how to figure this out." Right now, we're going to assemble a three-dimensional version of Sierpinski's triangle, which is a fractal.

      >>薩爾:你不能通過講座來學習這些東西。

    • of Sierpinski's triangle, which is a fractal.

      的Sierpinski'三角形,這是一個分形。

    A2 初級

    我錯了(而且所有人都錯了)! (I was wrong (and so was everyone))

    06:44我錯了(而且所有人都錯了)! (I was wrong (and so was everyone))
    • History is fractal.

      歷史是分形的。

    • History is fractal.

      歷史是分形的。

    B1 中級

    內在世界、外在世界 - 第一部 - 阿卡莎 (Inner Worlds, Outer Worlds - Part 1 - Akasha)

    31:01內在世界、外在世界 - 第一部 - 阿卡莎 (Inner Worlds, Outer Worlds - Part 1 - Akasha)
    • The term fractal was coined in 1980 by mathematician Benoit Mandelbrot, who studied certain simple mathematical equations that, when they are repeated, produce an unending array of changing mathematical or geometrical forms within a limited framework.

      神祇之王因陀羅誕生了

    • A fractal is a rough geometric shape that can be split into parts, each of which is at least approximately a reduced-size copy of the whole pattern, a property called self-similarity.

      想像一個延伸到所有維度的蜘蛛網。

    B2 中高級

    直播交易賺進 98k 美金 (有人可以 nerf 一下 Edgeflow 嗎?) (Making $98k Live Trading (SOMEONE NERF EDGEFLO))

    14:56直播交易賺進 98k 美金 (有人可以 nerf 一下 Edgeflow 嗎?) (Making $98k Live Trading (SOMEONE NERF EDGEFLO))
    • The final confirmation was when price came out here and new London liquidity just came down here and took out this last fractal low right here.

      對吧?

    • So once we got the fractal market shift, price started crashing down.

      擁有了我們在這裡所有的流動性,包括誘餌和推動。

    B1 中級

    為什麼美的事物讓我們快樂?- 美的解析! (Why Beautiful Things Make us Happy -Beauty Explained)

    07:37為什麼美的事物讓我們快樂?- 美的解析! (Why Beautiful Things Make us Happy -Beauty Explained)
    • The golden ratio—symmetry or fractal patterns—can be found in the art and architecture of cultures from our beginnings to today.

      但撇開個人或時代品味不談,有些標準卻不曾退流行

    • The golden ratio, symmetry, or fractal patterns can be found in the art and architecture of cultures from our beginnings, to today.

      黃金比例、對稱性或碎形圖案都可見於古今各種人類文化中的藝術和建築

    B1 中級

    十字路口:新世界觀的陣痛 | 全集電影 (Crossroads: Labor Pains of a New Worldview | FULL MOVIE)

    04:00十字路口:新世界觀的陣痛 | 全集電影 (Crossroads: Labor Pains of a New Worldview | FULL MOVIE)
    • The wonderful part about nature being fractal is that we can use patterns in nature to understand other patterns that exist, because patterns repeat themselves.

      研究人員讓人們接受大腦掃瞄 讓他們臉朝上躺下 把一個管子放入他們的嘴裡

    • The wonderful part about nature being fractal is that we can use patterns in nature to understand other patterns that exist because patterns repeat themselves.

      Ervin Laszlo 博士 系統科學

    B1 中級

    宇宙中最恐怖的地方?核能工程師評析 Kurzgesagt 影片! (The Scariest Place in the Universe? - Nuclear Engineer Reacts to Kurzgesagt)

    18:46宇宙中最恐怖的地方?核能工程師評析 Kurzgesagt 影片! (The Scariest Place in the Universe? - Nuclear Engineer Reacts to Kurzgesagt)
    • Kind of like a fractal system where patterns repeat at multiple scales.

      虛空很奇怪也很嚇人,但它們塑造了整個宇宙,並且最終可能決定它的命運。

    • I mean, no, this isn't going to be a perfect fractal, but certainly a resemblance.

      這真是個貼切的描述。

    B2 中高級

    數學家來了!關於「幾何學」你還有什麼問題嗎?| Tech Support | WIRED Japan (数学者だけど「幾何学」について質問ある?| Tech Support | WIRED Japan)

    17:54數學家來了!關於「幾何學」你還有什麼問題嗎?| Tech Support | WIRED Japan (数学者だけど「幾何学」について質問ある?| Tech Support | WIRED Japan)
    • @WissenCMK asks, "Inception, is it really a thesis on manifold and geometry in four-dimensional space?" Inception is a little bit more like what we call in geometry a fractal, which has the property that it's self-similar, that if you zoom in on it, you see a smaller replica of the whole thing.

      @WissenCMK 問:「全面啟動,它真的是一個關於四維空間中的流形和幾何的論文嗎?」全面啟動更像是我們在幾何學中稱之為分形的東西,它具有自相似的特性,如果你放大它,你會看到一個整體較小的複製品。

    • So I think I'm going to call that a fractal movie.

      所以我想我會稱之為一部分形電影。

    B1 中級

    外國鄉民在哪出沒?一起認識外國網路文化-Reddit(What is reddit?)

    05:20外國鄉民在哪出沒?一起認識外國網路文化-Reddit(What is reddit?)
    • But reddit is not just one list of stuff: reddit is a beautiful fractal with sections, called subreddits.

      但是reddit上的東西可不只一種,reddit還有很多如碎花般不同的種類,叫做subreddits

    B1 中級