Publish the functional equations solutions - #384
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The handout's solutions have been reviewed, so they no longer need to stay behind hideSolutionsAndProofs. The three geometry handouts keep the flag. While the solutions are now reader-facing, three things in them were worth tightening. Equations carry a number only where the text actually points back at one, and the survivors renumber so each solution counts from (1). The f^2(x) shorthand is spelled out as (f(x))^2 everywhere, since more than one reader has read it as f(f(x)). And two steps that leaned on a compressed clause now say what they do: the double use of injectivity that closes f(f(x)) = 0, and why a mixed pair f(a) = a, f(b) = -b exists at all once f(x)^2 = x^2 is known. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
PatrikBak
enabled auto-merge
August 22, 2026 16:17
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hideSolutionsAndProofsfrom the functional equations handout, so its solutions, answers and full-solutions PDF are now on the page. The three geometry handouts keep the flag.The solutions themselves got three passes now that readers will see them:
f^2(x)is spelled out as(f(x))^2throughout, in statements, hints and solutions alike. It read asf(f(x))to more than one reader.f(f(x)) = 0, and why a mixed pairf(a) = a,f(b) = -bexists at all oncef(x)^2 = x^2is known. The hints for that problem also stop reusingafor two different objects.Includes the regenerated content JSON.
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