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June 23rd, 2010, 12:13 AM  #1 
Newbie Joined: Jun 2010 Posts: 4 Thanks: 0  Functions and Constants
Do functions require constants? That is, can you have a meaningful function with only variables and no constants? I only ask because I've never seen a function without some sort of constant.

June 23rd, 2010, 01:20 AM  #2 
Member Joined: Jun 2010 Posts: 80 Thanks: 0  Re: Functions and Constants
Hallo, i'm new to this topic. By constant you mean a constant term, like x+c=f(x) ? In the function f(x)=x, we can say the factor and the exponent are constant, this notation hides the writing : f(x)=1x^1. Hence we could have other exponents, or even variable exponents, generally : f(x)=a(x)*x^b(x), a and b were non constant. 
June 23rd, 2010, 11:33 AM  #3 
Newbie Joined: Jun 2010 Posts: 4 Thanks: 0  Re: Functions and Constants
Thank you for the response. But even in exponential functions such as V(t)=Ke^t^1/2 you have a constant (K). And on wikipedia it says: Johann Bernoulli defined functions as any expression made up of a variable and some constants, and Leonhard Euler, during the mid18th century, used the word to describe an expression or formula involving variables and constants

June 23rd, 2010, 12:31 PM  #4 
Newbie Joined: Jun 2010 Posts: 4 Thanks: 0  Re: Functions and Constants
Also, in the function f(x)=x isn't there a 1 in front of the x?

June 23rd, 2010, 01:48 PM  #5  
Global Moderator Joined: May 2007 Posts: 6,416 Thanks: 558  Re: Functions and Constants Quote:
 

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