Commit 2226af18 authored by Anton Y.'s avatar Anton Y.

task try 8

parent 95db713c
...@@ -33,6 +33,7 @@ theta = np.random.uniform(size=N, low=0, high=pi/2) ...@@ -33,6 +33,7 @@ theta = np.random.uniform(size=N, low=0, high=pi/2)
* Using a surface fraction argument * Using a surface fraction argument
A method that is easier to understand and does not make use of the $\sin$ function is based on the fact that if $X\sim U(0,1)$ and $Y\sim U(0,1)$, then $P[X^2+Y^2\leq 1] = \pi/4$ (see [[https://en.wikipedia.org/wiki/Monte_Carlo_method]["Monte Carlo method" on Wikipedia]]). The following code uses this approach: A method that is easier to understand and does not make use of the $\sin$ function is based on the fact that if $X\sim U(0,1)$ and $Y\sim U(0,1)$, then $P[X^2+Y^2\leq 1] = \pi/4$ (see [[https://en.wikipedia.org/wiki/Monte_Carlo_method]["Monte Carlo method" on Wikipedia]]). The following code uses this approach:
#+begin_src python :results output file :var matplot_lib_filename="figure_pi_mc2.png" :exports both :session *python* #+begin_src python :results output file :var matplot_lib_filename="figure_pi_mc2.png" :exports both :session *python*
import matplotlib.pyplot as plt import matplotlib.pyplot as plt
......
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