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The typical definition of an atomic task or process is one that cannot be decomposed further. This is vague and subject to interpretation. The Decomposition Matrix on this site uses a specific definition: A task (for business process diagrams) or a process (for data flow diagrams) is atomic if every input relates to every output in the Decomposition Matrix. In other words, all cells in the matrix are checked. Each decomposition that is displayed on Results page at this site indicates whether any further decomposition is possible. That information appears at the bottom of the Results page. The Results page also sets up a sub-matrix for further decomposition should you want to see the next level of decomposition. One of the earlier Blog postings has an example.