adding draft of monte carlo chapter #115
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leios added Implementation 
chapters/monte_carlo/monte_carlo.md Outdated
| {% method %} | ||
| {% sample lang="jl" %} | ||
| [import:2-8, lang:"julia"](code/julia/monte_carlo.jl) | ||
| {% sample lang="cpp" %} |
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Why have you got C++ here?
chapters/monte_carlo/monte_carlo.md Outdated
| {% sample lang="jl" %} | ||
| ### Julia | ||
| [import, lang:"julia"](code/julia/monte_carlo.jl) | ||
| {% sample lang="cpp" %} |
| Both of those should have been removed. Thanks! |
chapters/monte_carlo/monte_carlo.md Outdated
| | ||
| Well, imagine you have a square. | ||
| The area of the square is simple, $$\text{Area}_{\text{square}} = \text{length} \times \text{width}$$. | ||
| Since it's a square, the $$\text{length}$$ and $$\text{width}$$ are the same, so the formula is technically just $$\text{Area}_{\text{square}} = \text{legth}^2$$. |
| Ok, typo fixed! Thanks for the catch! |
| How do you compile and visualize someone else's PR? |
chapters/monte_carlo/monte_carlo.md Outdated
| It doesn't take too many lines to get something simple going. | ||
| Here, we are just integrating a circle, like we described above; however, there is a small twist and trick. | ||
| Instead of calculating the area of the circle, we are instead trying to find the value of $$\pi$$, and | ||
| rather than integrating the entire circle, we are only integrating the upper left quadrant of the circle from $$-1 < x,y < 1$$. |
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Do you mean upper right quadrant and do you mean
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Typo. Should have written
Will fix when I get home.
| @jiegillet go to the fork and the branch then clone it (on unix use this command |
| end | ||
| | ||
| pi_estimate = 4*pi_count/(n*radius^2) | ||
| println("Percent error is: ", signif(100*(pi - pi_estimate), 3), " %") |
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Here you need to divide (pi - pi_estimate) by pi
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Yup, you are right. Fixing soon. Thanks!
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This one took me a while to make the images. I had to find some old code and update it.
I couldn't decide between using a gif or three images side-by-side for showing that with more points, you get a better result. This version has 3 images.
What do you guys think? For now, the book is online-only, so I think a gif is ultimately fine. There are a lot of other things we will need to change if we ever want to actually print this book... so maybe it's alright to have good visualizations?