Crossword Solver > found answer > EXPONENTIALDECAY (exponential decay)

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exponentialdecay

exponential decay

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There are 16 letters in EXPONENTIALDECAY ( A¹C³D²E¹I¹L¹N¹O¹P³T¹X⁸Y⁴ )

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Definitions of exponential decay in various dictionaries:

noun - a decrease that follows an exponential function

EXPONENTIAL DECAY - Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.

EXPONENTIAL DECAY - A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed ...

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Exponential decay description
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 λ (lambda) is a positive rate called the exponential decay constant:* * * * * * * d * N * * * d * t * * * * = * − * λ * N * . * * * {\displaystyle {\frac {dN}{dt}}=-\lambda N.} * The solution to this equation (see derivation below) is: * * * * * N * ( * t * ) * = * * N * * 0 * * * * e * * − * λ * t * * * , * * * {\displaystyle N(t)=N_{0}e^{-\lambda t},} * 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. * *

Exponential decay description

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 λ (lambda) is a positive rate called the exponential decay constant:*
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* {\displaystyle {\frac {dN}{dt}}=-\lambda N.}
* The solution to this equation (see derivation below) is:
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* {\displaystyle N(t)=N_{0}e^{-\lambda t},}
* 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.
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