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- Bateman_Equation abstract "In nuclear physics, the Bateman equation is a mathematical model describing abundances and activities in a decay chain as a function of time, based on the decay rates and initial abundances.If at time t there is atoms of isotope that decays into isotope at rate the amounts of isotopes in the k-step decay chain evolves as(this can be adapted to handle decay branches). While this can be solved explicitly for i=2 the formulas quickly become cumbersome for longer chains.Bateman found a general explicit formula for the amounts by taking the Laplace transform of the variables.(it can also be expanded with source terms, if more atoms of isotope i are provided externally at a constant rate).While the Bateman formula can be implemented easily in computer code, if for some isotope pair cancellation can lead to computational errors. Other methods, for example using numerical integration or the matrix exponential, are hence also in use.".
- Bateman_Equation wikiPageID "40601541".
- Bateman_Equation wikiPageRevisionID "593608303".
- Bateman_Equation subject Category:Radioactivity.
- Bateman_Equation comment "In nuclear physics, the Bateman equation is a mathematical model describing abundances and activities in a decay chain as a function of time, based on the decay rates and initial abundances.If at time t there is atoms of isotope that decays into isotope at rate the amounts of isotopes in the k-step decay chain evolves as(this can be adapted to handle decay branches).".
- Bateman_Equation label "Bateman Equation".
- Bateman_Equation label "Ecuaciones de Batman".
- Bateman_Equation sameAs Ecuaciones_de_Batman.
- Bateman_Equation sameAs m.0xn7w5t.
- Bateman_Equation sameAs Q15473654.
- Bateman_Equation sameAs Q15473654.
- Bateman_Equation wasDerivedFrom Bateman_Equation?oldid=593608303.
- Bateman_Equation isPrimaryTopicOf Bateman_Equation.