a circle's circumference is than its diameter? It's a little more than three - we could call

一個圓的周長是比它的直徑？它比三多一點 - 我們可以叫它 "圓周率"。

it 3.14 or three and a seventh and be accurate enough for most applications. You could use

3.14或3.7分之1，對大多數應用來說足夠準確。你可以使用

thirty nine decimal places and be accurate enough for all applications. But pi's digits

小數點後三十九位，並且對所有應用都足夠準確。但π的數字

keep on going. Forever. And they're random. So this means you can find your birthday in

繼續走下去。永遠的。而且他們'是隨機的。所以，這意味著你可以找到你的生日在

pi - mine occurs at the 33,870th decimal place. But what about something longer, like

pi--我的出現在小數點後第33,870位。但如果是更長的呢，比如

your phone number? My 7-digit phone number doesn't occur within the first million decimal

你的電話號碼？我的7位數電話號碼在小數點後100萬以內沒有出現。

digits, but because the digits are random and unending, I'm certain to find it if I

數字，但因為數字是隨機的和無止境的，我'確定找到它，如果我

look far enough. In fact, for this reason, you can find any number you look for somewhere in pi.

找得夠遠的。事實上，由於這個原因，你可以在pi的某個地方找到任何你要找的數字。

Let's switch to binary for a bit - pi looks

讓我們切換到二進制的位--pi看起來。

like this now. The digits are just zeros and ones, but they're still random and unending,

像現在這樣。的數字只是0和1，但它們'還是隨機的，沒有盡頭。

and this means that any given sequence of digits will turn up if you look far enough

這意味著，任何給定的數字序列都會出現，如果你看得夠遠的話。

down the line. Computer files are just binary strings, so we could find your favorite mp3

下線。電腦文件只是二進制字符串，所以我們可以找到你最喜歡的MP3。

somewhere in pi. We could find a picture of you in there, or a picture of what you'll

某處pi。我們可以在那裡找到你的照片，或你的照片'll。

look like in 10 years. It's not likely that we'll find a particular sequence of digits

10年後的樣子。我們不可能找到一個特定的數字序列。

quickly, but we can rest assured that it's in there somewhere. There's the sound of your

迅速，但我們可以放心，它&#39；在那裡的某個地方。那是你的聲音

first words in there, and a video of your 10th birthday party. Your DNA is in pi, along

裡面的第一句話，還有你10歲生日派對的視頻。你的DNA是以圓周率為組織、部門的

with the DNA of every other creature. Every YouTube video, every Wikipedia article, every

與其他所有生物的DNA。每一個YouTube視頻，每一個維基百科文章，每一個... ...

piece of information that will ever exist is sitting there, already, somewhere in those

將永遠存在的一塊資訊 是坐在那裡，已經， 在這些地方的某個地方

digits. So think about that the next time you see a circle.

數字。所以，下次看到圓圈的時候要想一想。