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Exponential decay

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A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by the following differential equation, where N is the quantity and ¥ë (lambda) is a positive rate called the exponential decay constant:

dN/dt = -¥ëN

The solution to this equation (see derivation below) is:

N(t) = N0*e^(-¥ët)

where N(t) is the quantity at time t, and N0 = N(0) is the initial quantity, i.e. the quantity at time t = 0.

*** Âü°í¹®Çå[References] ***

https://en.wikipedia.org/wiki/Exponential_decay
Nt = N0 * e^(-¥ë*t)
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