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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!
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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