Title: Teaching Radiology Physics Interactively with Scientific Notebook Software Author: Michael L. Richardson, M.D. Behrang Amini, M.D., Ph.D. Email: mrich@uw.edu Bibliography Style: elsarticle-num.bst BibTeX: Jupyter_Widget_paper.bib HTML header: # Teaching Radiology Physics Interactively with Scientific Notebook Software # Michael L. Richardson, M.D. Department of Radiology University of Washington Seattle WA Test equations: $N(t) = N_{0} e^{-\lambda t}$ \$$N(t) = N_{0} e^{-\lambda t}\$$ The decay constant is $\lambda$ . The decay constant is \$$\lambda\$$. ### Simple Radioactive Decay The decay of a single radioisotope can be expressed by the [following equation](https://en.wikipedia.org/wiki/Radioactive_decay): $N(t) = N_{0} e^{-\lambda t}$ where $\lambda$ is the decay constant. Half-life ($t_{\frac{1}{2}}$) of an isotope is related to its decay constant by the following expression: $t_{\frac{1}{2}} = \frac{ln(2)}{\lambda}$ | variable | meaning | |:-----------------:|:--------------------------------------------| | N | number of atoms present at time t | | $N_{0}$ | number of atoms present initially | | t | time | | $t_{\frac{1}{2}}$ | half-life = $\frac{ln(2)}{\lambda}$ | Now, let's use these equations to create a custom decay function.