dydx

This gem is obsolete. See Hilbert

Since you report a bug, I will fix it within 24 hours.

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.

We can enjoy mathematics even using PC.

(to say nothing of using pen.)

After inlcude Dydx , ruby become like other language.

Outline

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

limit, trigonometric functions and logarithmic.

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

Documents

I'm going to write now...cominng soon....

Module, class configuration

Dydx
  |- Algebra
  |      |- Operator
  |      |   |- Interface
  |      |   |- ....
  |      |
  |      |- Set
  |      |- Formula
  |      |- inverse
  |
  |- Function
  |- Delta
  |- Integrand

Test

run bundle exec rake spec

Finished in 3.76 seconds
325 examples, 0 failures