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rvelosoo@gmail.com science forum beginner
Joined: 09 May 2005
Posts: 16

Posted: Tue Jun 20, 2006 7:12 pm Post subject:
Sum of exponentials



Suppose we have the following sum of exponentials function of time:
S(t) = e^(a1*t) + e^(a2*t) + e^(a3*t) + ... + e^(an*t)
Where the a's are constant.
First question is: is it true that we can express S(t) as:
S(t) = n * e^(A*t), where A is a constant?
If so, how can we compute A?
Thanks! 

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flawed science forum beginner
Joined: 23 Jun 2006
Posts: 1

Posted: Fri Jun 23, 2006 1:43 pm Post subject:
Re: Sum of exponentials



The representation is not possible in general.
rvelosoo@gmail.com wrote:
Quote:  Suppose we have the following sum of exponentials function of time:
S(t) = e^(a1*t) + e^(a2*t) + e^(a3*t) + ... + e^(an*t)
Where the a's are constant.
First question is: is it true that we can express S(t) as:
S(t) = n * e^(A*t), where A is a constant?
If so, how can we compute A?
Thanks! 


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