From df0a43f60c2570430083e1c90bc61b103d25b885 Mon Sep 17 00:00:00 2001 From: wizardforcel <562826179@qq.com> Date: Sun, 11 Feb 2018 17:02:52 +0800 Subject: [PATCH] tex --- 4.md | 6 +-- img/4-4.svg | 78 ------------------------------------- img/4-5.svg | 87 ----------------------------------------- img/4-6.svg | 110 ---------------------------------------------------- 4 files changed, 2 insertions(+), 279 deletions(-) delete mode 100644 img/4-4.svg delete mode 100644 img/4-5.svg delete mode 100644 img/4-6.svg diff --git a/4.md b/4.md index 62c85cf..809c359 100644 --- a/4.md +++ b/4.md @@ -321,15 +321,13 @@ array([ 1.5, 1. , 0.5, 0. , -0.5, -1. , -1.5]) 伟大的德国数学家和哲学家戈特弗里德·威廉·莱布尼茨(Gottfried Wilhelm Leibniz,1646 ~ 1716年)发现了一个简单分数的无穷和。 公式是: -![](img/4-4.svg) +![](http://latex.codecogs.com/gif.latex?%5Cpi%20%3D%202%20%5Ccdot%20%5Cleft%28%20%5Cfrac%7B2%7D%7B1%7D%5Ccdot%5Cfrac%7B2%7D%7B3%7D%5Ccdot%5Cfrac%7B4%7D%7B3%7D%5Ccdot%5Cfrac%7B4%7D%7B5%7D%5Ccdot%5Cfrac%7B6%7D%7B5%7D%5Ccdot%5Cfrac%7B6%7D%7B7%7D%5Cdots%20%5Cright%29) 虽然需要一些数学来确定它,但我们可以用数组来说服我们自己,公式是有效的。 让我们计算莱布尼茨的无穷和的前 5000 个项,看它是否接近 π。 -![](img/4-5.svg) - 我们将计算这个有限的总和,首先加上所有的正项,然后减去所有负项的和 [1]: -![](img/4-6.svg) +![](http://latex.codecogs.com/gif.latex?%5Cpi%20%5Capprox%202%20%5Ccdot%20%5Cleft%28%20%5Cfrac%7B2%7D%7B1%7D%20%5Ccdot%20%5Cfrac%7B4%7D%7B3%7D%20%5Ccdot%20%5Cfrac%7B6%7D%7B5%7D%20%5Ccdots%20%5Cfrac%7B1%2C000%2C000%7D%7B999999%7D%20%5Cright%29%20%5Ccdot%20%5Cleft%28%20%5Cfrac%7B2%7D%7B3%7D%20%5Ccdot%20%5Cfrac%7B4%7D%7B5%7D%20%5Ccdot%20%5Cfrac%7B6%7D%7B7%7D%20%5Ccdots%20%5Cfrac%7B1%2C000%2C000%7D%7B1%2C000%2C001%7D%20%5Cright%29) > [1] 令人惊讶的是,当我们将无限多个分数相加时,顺序可能很重要。但是我们对 π 的近似只使用了大量的数量有限的分数,所以可以按照任何方便的顺序,将这些项相加。 diff --git a/img/4-4.svg b/img/4-4.svg deleted file mode 100644 index 953a39e..0000000 --- a/img/4-4.svg +++ /dev/null @@ -1,78 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/img/4-5.svg b/img/4-5.svg deleted file mode 100644 index 08d4037..0000000 --- a/img/4-5.svg +++ /dev/null @@ -1,87 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/img/4-6.svg b/img/4-6.svg deleted file mode 100644 index bb4b01b..0000000 --- a/img/4-6.svg +++ /dev/null @@ -1,110 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - \ No newline at end of file -- GitLab