عکس mdibaiee
visualize slope field of mathematical functionsHaskell
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تاریخ ایجاد
۱۴ آبان ۱۳۹۵
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بیشتر از ۵ سال قبل
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slope-field Open Source Society University - Data Science

I was studying this course on Integration when I encountered slope fields and I found them interesting!

So I thought I would give it a shot and try to write a program to draw slope fields myself! In order to read a mathematical function definition from input, I wrote mathexpr.

Get Started

If you haven't already, install Haskell Platform.

git clone https://github.com/mdibaiee/slope-field
cd slope-field
stack install
slope-field

Examples

Parameters:

  • dy/dx: derivative of the function you are trying to visualize
  • range: range of numbers to draw
  • estimation size: size of deltax which is used to draw the slope corresponding to a small point, 0.03 is usually a good number, but you might want to try out larger numbers to get a more detailed picture on some examples ``` dy/dx = x + y range - format: (lower, upper): (-10, 10) estimation size:

0.03


![x plus y](https://github.com/mdibaiee/slope-field/blob/master/xpy.png?raw=true)

dy/dx = x * y range - format: (lower, upper): (-10, 10) estimation size: 0.03


![x times y](https://github.com/mdibaiee/slope-field/blob/master/xty.png?raw=true)

dy/dx = -y range - format: (lower, upper): (-10, 10) estimation size: 0.03


![minus y](https://github.com/mdibaiee/slope-field/blob/master/minusy.png?raw=true)

dy/dx = y/x range - format: (lower, upper): (-20, 20) estimation size: 0.1


![y divided by x](https://github.com/mdibaiee/slope-field/blob/master/ydx.png?raw=true)