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Activity Equation

Defines the activity AA of a radioactive sample as A=λNA = λN, where λλ is the decay constant and NN is the number of radioactive nuclei.
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The statement of the theorem

Define the activity AA of a radioactive sample as the rate of decay, A=dNdtA = \left| \frac{dN}{dt} \right|. If λ\lambda is the decay constant and NN is the number of radioactive nuclei, the activity is defined by the relation: A=λN A = \lambda N
Source: Wikipedia