Applications of the Number 'e'Date: 02/21/2009 at 20:38:24 From: Googler Subject: The number 'e' I am doing an internet research project on the number 'e' and cannot seem to find real-life examples of its usage. I was wondering if you could maybe give me a few real-life situations when a person would use the number 'e' and why (I only need 3). Thank you! I have googled EVERYTHING and all the sites do is explain the number 'e' but do not give real-life examples. Date: 02/22/2009 at 23:01:35 From: Doctor Minter Subject: Re: The number 'e' Hello, Here are a few real-life examples that use the number "e." Try to research these problems specifically, instead of searching for "e" itself, since, as you've noticed, this will only give you mathematical definitions. - Growth problems (especially population models) - Decay problems (radioactivity, for example) - Savings model (especially "continuous compounding interest") - Logistic model - Threshold model - Eigenvalue problems - Characteristic roots (it's more math, but at least it's applied--see the following two items) - Charge on a capacitor (also RC-circuit or LRC-circuit) - Damping factor (or damping constant--this is the application of characteristic roots, used for oscillator problems such as LRC circuits or spring-mass problems) - Euler's formula (for complex numbers) - Newton's Law of Cooling/Heating (thermodynamics) - Plane waves (electrodynamics) - Boltzmann factor (thermodynamics) I hope this helps. Please feel free to write again if you need further assistance, or if you have any other questions. Thanks for using Dr. Math! - Doctor Minter, The Math Forum http://mathforum.org/dr.math/ |
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