difference between inverse, reverse, and converse

inverse - adjective(урвуу)Typically, inverse refers to a vertical swapping of of something, like 2/4 is the inverse of 4/2.
1 [only before noun] opposite in amount or position to something else
        ----- There is often an inverse relationship between the power of the tool and how easy it is to use.
reverse - adjective(үсрэг тал, эсрэг дараалал, хөндлөнгөөрөө урвуу)Reverse usually refers to the horizontal swapping of something like 2x3 is the reverse of 3x2.
[only before noun]

reverse order/situation/process etc

the opposite order etc to what is usual or to what has just been stated:
     ---- to travel in the reverse direction
converse - adjective, noun(үсрэг утга, эсрэг logic)Converse is usually used in a logical sense. 

formal the opposite or reverse of a fact or statement:

    ---- a converse example

difference between reverse, inverse

• reverse: opposite direction; backwards
  inverse: change in order

• Inverse is opposite in order or proportion. In language inversion is when the predicate comes before the subject. So it's about order.

• order:
  logical arrangement of separate elements
  
  f(x) = 5x
  
  x-->f(x) = (0;0); (1;5); (2;10); (3.14;5*3.14);....
  
  inverse:
  
  x = 5f'(x)
  f'(x) = x/5
  
  x -->f'(x) = (0;0); (5;1); (10;2); (5*3.14;3.14);... 
  
  Can you see the change in order, Bob?

difference between inverse, reverse, converse

• Context is everything, as Blackwidow has pointed out. 
  
  Typically, inverse refers to a vertical swapping of of something, like 2/4 is the inverse of 4/2. In mathematics, an inverse is also known as a reciprocal. 
  
  Reverse usually refers to the horizontal swapping of something like 2x3 is the reverse of 3x2. 
  
  Converse is usually used in a logical sense. For example, the converse of the statement "I think, therefore I am" would be "I am, therefore I think". Note that converse statements do not always evaluate to the same thing, one statement may be true, whereas the converse may not be. For example, "It is cold, therefore I put on my coat" may be true, whereas "I put on my coat, therefore it is cold" may not be.

• A simple example: When making a statement in one direction, your assertions are true, but reverse the statement and the assertions become false. While it is safe to say that Whales are mammals, the opposite is not true. That is to say that not all mammals are whales. There are situations where opposite just doesn't work.When do you use converse, inverse, reverse, opposite and/or would you ever use something like the contra-positive of a statement fails?