布豐投針問題（Buffon's Needle）─ 經典的圓周率實驗（原理、線上操作） - 環遊數界
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布豐投針問題（Buffon's Needle）─ 經典的圓周率實驗（原理、線上操作） - 環遊數界
透過簡單的投針實驗，竟然能夠得到圓周率π的近似值，這就是布豐投針問題（Buffon's Needle）。 在一張紙上，有平行且等距的線條，現在隨意拋一支針，然後統計針和線條相交的比例。假設線條間距為d，針的長度為L，相交的比例為p。 π = 2L / dp
Apr 4, 2018
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SOLVED:The Buffon needle problem is one of the oldest and most famous of probability problems. Suppose that a series of horizontal lines are spaced one unit apart and a needle of length one is placed randomly. What is the probability that the needle intersects one of the horizontal lines? (FIGURE CANNOT COPY) In the figure, y is the distance from the center of the needle to the nearest line and θis the positive angle that the needle makes with the horizontal. Show that the needle intersects the
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