Q makes it possible to enjoy mathematics on PC without losing the feeling that you can get from using Pen and Paper.
ex. limit, trigonometric functions and logarithmic.
(to say nothing of using pen.)
After inlcude Dydx , ruby become like other language.
require 'dydx'
include Dydx
# Define the function. syntax is not good enough...
f(x, y) <= x + x*y + y
# simplify
f(x, y) == x * (1 + y) + y
=> true
#part substitution
f(a, 2) == 3*a + 2
=> true
f(1, a + b) == 1 + 2 * ( a + b )
=> true
# Differentiate
d/dx(f(x, y)) == 1 + y
=> true
g(x) <= sin(x)
d/dx(g(x)) == cos(x)
# Integrate
S(g(x), dx)[0, pi/2]
=> 1.0
f(z) <= log(z)
S(f(z), dz)[0,1]
=> -Infinity
d/dx(log(x)) == 1 / x
=> true
d/dx(cos(x)) == -cos(x)
=> true
d/dx(e ** x) == e ** x
=> true
# standard normal distribution;
f(x) <= (1.0 / ( 2.0 * pi ) ** 0.5) * e ** (- x ** 2 / 2)
S(f(x), dx)[-oo, oo]
=> 1.0
I'm going to write now...cominng soon....
Dydx
|- Algebra
| |- Operator
| | |- Interface
| | |- ....
| |
| |- Set
| |- Formula
| |- inverse
|
|- Function
|- Delta
|- Integrand
run bundle exec rake spec
Finished in 3.76 seconds
325 examples, 0 failures