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    影片分級

    • A1 初級
    • A2 初級
    • B1 中級
    • B2 中高級
    • C1 高級
    • C2 高級

    隱私權˙條款˙
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    theorem

    US /ˈθiərəm, ˈθɪrəm/

    ・

    UK /ˈθɪərəm/

    B2 中高級
    n.名詞定理
    I think I can prove that theorem

    影片字幕

    E=mc² 不完整! (E=mc² is Incomplete )

    02:07E=mc² 不完整! (E=mc² is Incomplete )
    • just use the pythagorean theorem (a squared plus b squared equals c squared) to give you

      只需用畢達哥拉斯定理(a平方加b平方等於c平方)就可以得到。

    • and just use the Pythagorean theorem (a2 + b2 = c2) to give you the equation.

      等式。

    B1 中級

    海洋生態危機!1000 年後的海洋會變成什麼樣子? (The Oceans In 1000 Years)

    07:40海洋生態危機!1000 年後的海洋會變成什麼樣子? (The Oceans In 1000 Years)
    • You can now search for things like the Pythagorean theorem, the quadratic formula, even Ohm's Law.

      你現在可以搜索諸如勾股定理、二次方程式,甚至是歐姆定律等概念。

    • You can now search for things like the Pythagorean theorem, the quadratic formula, even Ohm's law.

      現在你可以哼唱、吹口哨或唱歌給 Google 聽,而它會馬上為你找到那首歌的名稱。

    B1 中級

    八人幫全體登場!| 六人行 (The Ones with the Whole Gang from Season 8 | Friends)

    19:48八人幫全體登場!| 六人行 (The Ones with the Whole Gang from Season 8 | Friends)
    • I'll prove it like a theorem.

      我會像證明定理一樣證明給你看。

    • I'll prove it like a theorem.

      好啦,別鬧了,別鬧了。

    A2 初級

    意外的天才現身! (Meet the Accidental Genius)

    13:42意外的天才現身! (Meet the Accidental Genius)
    • That will change things in a much greater way than just finding one new theorem.

      這比僅僅發現一個新定理的改變要大得多。

    • That will change things in a much greater way than just finding one new theorem.
    B1 中級

    第一課:程式設計師的實用深度學習! (Lesson 1: Practical Deep Learning for Coders)

    38:46第一課:程式設計師的實用深度學習! (Lesson 1: Practical Deep Learning for Coders)
    • There's a mathematical proof, the Universal Approximation Theorem, that we're going to learn all about, which tells us that this kind of mathematical function is capable of handling any kind of problem we can throw at it, whether that mathematical function be, "How do I translate English into Hungarian?" or whether that mathematical function is, "How do I recognize pictures of cats?" or whether that mathematical function is, "How do I identify unhealthy crops?" It can handle any of these things.

      有一個數學證明,通用逼近定理,我們將會學習所有關於它的內容,它告訴我們這種數學函數能夠處理任何我們可以遇到的問題,無論這個數學函數是「我如何將英語翻譯成匈牙利語?」還是「我如何辨識貓的圖片?」或是「我如何識別不健康的農作物?」它都能處理這些事情。

    • There's a mathematical proof, the Universal Approximation Theorem, that we're going to learn all about, which tells us that this kind of mathematical function is capable of handling any kind of problem we can throw at it, whether that mathematical function be, "How do I translate English into Hungarian?" or whether that mathematical function is, "How do I recognize pictures of cats?" or whether that mathematical function is, "How do I identify unhealthy crops?" It can handle any of these things.

      有一個數學證明,通用逼近定理,我們將會學習所有關於它的內容,它告訴我們這種數學函數能夠處理任何我們可以遇到的問題,無論這個數學函數是「我如何將英語翻譯成匈牙利語?」還是「我如何辨識貓的圖片?」或是「我如何識別不健康的農作物?」它都能處理這些事情。

    A2 初級

    尼采:先愛自己,再愛別人! (Nietzsche - Love Yourself First, Then Love Another)

    04:46尼采:先愛自己,再愛別人! (Nietzsche - Love Yourself First, Then Love Another)
    • You might remember the Pythagorean theorem from school, like what the formula is.

      如果你想增加你的智慧,我推薦你看看這週的贊助商 Brilliant。

    • You might remember the Pythagorean theorem from school, like what the formula is, but

      你可能還記得學校教的畢氏定理,像是公式是什麼,但是

    A2 初級

    飛往中國與 Flywire 的 Chris Pearce 探討國際學生付款的隱藏複雜性! (The Hidden Complexities of International Student Payments With Flywire’s Chris Pearce)

    22:17飛往中國與 Flywire 的 Chris Pearce 探討國際學生付款的隱藏複雜性! (The Hidden Complexities of International Student Payments With Flywire’s Chris Pearce)
    • Okay, Chris, I've just written down the Chris Pearce general theorem about bound activity.

      很有趣。

    • Okay, Chris, I've just written down the Chris Pearce general theorem about bound activity.

      好的,Chris,我剛剛寫下了 Chris Pearce 關於受限活動的通用定理。

    B1 中級

    別再讓人掌控你的人生!| 索忍尼辛的哲學思想 (Stop Giving People Control Over Your Life | The Philosophy of Aleksandr Solzhenitsyn)

    06:22別再讓人掌控你的人生!| 索忍尼辛的哲學思想 (Stop Giving People Control Over Your Life | The Philosophy of Aleksandr Solzhenitsyn)
    • You might remember the Pythagorean theorem from school, like what the formula is, but in this lesson, you're moving around triangles and actually proving that a2 plus b2 is equal to c2.

      你可能還記得學校裡的勾股定理,比如公式是什麼,但在這一課中,你要在三角形中移動,實際證明 a2 加 b2 等於 c2。

    • You might remember the Pythagorean Theorem from school, like what the formula is.

      你可能還記得學校裡的勾股定理,比如公式是什麼,但在這一課中,你要在三角形中移動,實際證明 a2 加 b2 等於 c2。

    B1 中級

    新康普悖論到底有什麼問題?🤯 (The Problem with Newcomb's Paradox)

    13:48新康普悖論到底有什麼問題?🤯 (The Problem with Newcomb's Paradox)
    • If the physical processes that go on in the brain rely on any inherently quantum features of matter—even just a butterfly effect perturbation from the underlying quantum fuzz of atoms—then the no-cloning theorem (which is a physical law of our universe that means you can't make a perfect copy of a quantum state without destroying the original) prevents an accurate copy from being made, so the predictor being couldn't make an accurate enough prediction.

      如果大腦中的物理過程依賴於任何固有的量子特性——即使只是原子量子模糊效應的微小擾動——那麼「不可複製定理」(這是我們宇宙的一條物理定律,意味著你無法在不破壞原始狀態的情況下複製一個量子狀態)就會阻止複製出一個精確的副本,所以預測者就無法做出足夠精確的預測。

    • If the physical processes that go on in the brain rely on any inherently quantum features of matter—even just a butterfly effect perturbation from the underlying quantum fuzz of atoms—then the no-cloning theorem (which is a physical law of our universe that means you can't make a perfect copy of a quantum state without destroying the original) prevents an accurate copy from being made, so the predictor being couldn't make an accurate enough prediction.

      如果大腦中的物理過程依賴於任何固有的量子特性——即使只是原子量子模糊效應的微小擾動——那麼「不可複製定理」(這是我們宇宙的一條物理定律,意味著你無法在不破壞原始狀態的情況下複製一個量子狀態)就會阻止複製出一個精確的副本,所以預測者就無法做出足夠精確的預測。

    B1 中級

    MIT 6.042J 數學導論 (電腦科學組) 2010年秋季班 | 第三講 (Lec 3 | MIT 6.042J Mathematics for Computer Science, Fall 2010)

    22:00MIT 6.042J 數學導論 (電腦科學組) 2010年秋季班 | 第三講 (Lec 3 | MIT 6.042J Mathematics for Computer Science, Fall 2010)
    • And it's usually referred to as the first rigorous proof of the fundamental theorem of algebra.

      在電子投票機裡,而

    • The author writes down every theorem known to mankind and then adds a few more for good measure.

      而且每個人都會注意到。

    A2 初級