Manuscript XVI-O1-ST@5 · XVI-O1-ST-v5.tex · proposition · dd45e0d1
Proposition: Retained comparison and mutation arithmetic
Second-readout tables and mutation sensitivity › Unchanged typeset comparison data · lines 911–943 · proof included or linked
XVI-O1-ST@5#prop:mutationdata
For the printed frozen/own arrays, the advertised comparison discrepancy is zero. The component-mutant comparisons give
At common bound , the complex-report distances are
The D01 changed-entry count and maximum discrepancy are the same if the regression vector defined below is used instead of .
Proof. The displayed own/frozen entries coincide. For D01, entry 5 changes by , the maximum. For D03, the maximum is , at entries 5 and 10. For D06, it is , at entry 2. All magnitudes are below 32, so Theorem thm:error applies. Changing only D01 entry 6 from to changes that mutant discrepancy from to ; neither is the maximum, and both are nonzero.
Displayed formulas in this passage
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