Paper: correct the £100k dominated-region width and sync band counts with the checked artifact - #42
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Paper: correct the £100k dominated-region width and sync band counts with the checked artifact#42vahid-ahmadi wants to merge 1 commit into
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…with the checked artifact The width a = T*·tau/(1-tau) is proportional to the threshold, so raising T* to £100,000 widens the dominated region to £25,000 (£100k–£125k); the text said the £21,250 band was "transported" unchanged. Cascade the correction to the intro, static section and conclusion. Replace the reduced-rate primary/secondary band counts, which came from an older run, with the values in results/dominated_region_mass.txt, and use one baseline count (156,700) instead of 157,000 and 147,700 in the same section. Round £21,562.50 to £21,563. Refs #32 (finding 2, minor 1), #40. Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
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What
Text-only corrections in
paper/Sections/{model,intro,static,conclusion}.tex; no code or artifact changes.model.texsaid raising the threshold to £100,000 "relocates the region without altering its width: it is the same £21,250 band, transported to the new cutoff". The paper's own formula givesa = 100,000 × 0.20/0.80 = £25,000, so the region becomes (£100k, £125k); only the proportional widtha/T* = 25%is unchanged. Corrected here and in the three places that repeat "relocates" (intro finding 2, the static relocation paragraph, the conclusion).model.tex(111,900 / 77,300; 34,200 / 65,500; totals 146,100 / 142,900 "within 3.3%" of a 147,700 baseline) do not matchresults/dominated_region_mass.txt(130,991 / 88,767; 26,682 / 52,517; totals 157,674 / 141,284 against 156,747). The same section quoted both 157,000 and 147,700 for the baseline band. Replaced with the checked values (rounded to hundreds); the baseline band is now quoted once as 156,700 in that paragraph, while the "about 157,000" rounding elsewhere (intro, Section 6 opening, summary table) is consistent with it and left as is.£21,562→£21,563(exact value 21,562.50).Why now
These are algebra and internal-consistency fixes that hold regardless of the #37 regeneration. The counts will be re-synced again when the population is regenerated; the ESS/max-weight numbers in
data.texare deliberately left for that pass (#40) to avoid re-numbering twice.Checks
paper/**PRs; no new macros or references introduced.Refs #32 (finding 2, minor 1), #40.
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