Thread: Calculus Query
View Single Post
  #24   Spotlight this post!  
Unread 21-10-2005, 00:18
Manoel's Avatar
Manoel Manoel is offline
Registered User
FRC #0383 (Brazilian Machine)
Team Role: Mentor
 
Join Date: Jun 2001
Rookie Year: 2000
Location: Porto Alegre, RS, Brazil
Posts: 608
Manoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond reputeManoel has a reputation beyond repute
Send a message via ICQ to Manoel Send a message via MSN to Manoel
Re: Calculus Query

Quote:
Originally Posted by EricH
A 1-1 function (also written as one-to-one) is one that only goes down or up, not both, over its entire length. I don't understand why Denman says you can only call a function if it's 1-1 in theory, but he may know more than I do, which is quite likely. However, y=x^2 is a function, and it's not 1-1.
Well, that's not the definition of a one-to-one function; in general it is, indeed, a consequence of the function being one-to-one. However, it does not apply to every function. For example: y = x^3 would be one-to-one by your definition, but, if you consider its complex roots*, then it is not.

* - For the record, I never had much of a formal, theoretical education on complex numbers, just its practical applications. Therefore, I may be wrong on the above statement.
__________________
Manoel Flores da Cunha
Mentor
Brazilian Machine
Team # 383
Reply With Quote