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fix: Proofread Part Foxtrot (optimization) - #83
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Closes #60. Proofread src/minmax.typ, src/regions.typ, src/opt.typ, src/mt2.typ (the files included under Part Foxtrot). Found and fixed: - src/minmax.typ: "draw in green" -> "drawn in green", and "An critical inflection point" -> "A critical inflection point", to match the parallel "drawn in ..." bullet list. - src/minmax.typ: broken punctuation in the "taking square roots of both sides, That is, ..." tip, joined into one sentence. - src/minmax.typ: in the critical-points sample for f(x,y,z) = z(x-y)(y-z) - 2xz, a sign flip in the substitution step "x = 2(z+2) + z = z+4" (should be "- z"); the final answer z+4 was already correct, only the intermediate algebra step was wrong. - src/regions.typ: stray "$" placement in "(0,1$)" -> "(0,1)$". - src/regions.typ: subject-verb agreement, "the boundary ... are the four sides" -> "is the four sides". - src/regions.typ: in the 3D regions table, the limit-cases entry for x^2+y^2+z^2=1, x,y,z>0 incorrectly listed boundary-style points "(1,0) and (0,1)" (which aren't even valid 3-variable points); replaced with the correct limit cases "x -> 0+ or y -> 0+ or z -> 0+", consistent with the analogous row in the 2D table. - src/opt.typ: missing "g" in "$ (x,y,z) = x+2y+3z=4$" (the constraint function), should be "$g(x,y,z) = ...$". - src/opt.typ: duplicated "The first expression" in a footnote where the second sentence should refer to "the second expression". - src/opt.typ: "doesn't like on the constraint" -> "doesn't lie on the constraint". - src/opt.typ: in the x^3+3y^3+4z^3 Lagrange multiplier example, the total LM-critical point count was miscounted as 26; since the per-case sign choices are tied together by ratios like z = 4x (not independent), the correct total is 14, not 26. This is also confirmed by the next sentence, which says the count "reduces ... to just 7" by halving via the +/- symmetry (14/2 = 7, but 26/2 = 13 would be inconsistent). No large mathematical errors were found beyond the miscounted LM-critical points above; src/mt2.typ (the practice midterm problem statements) had no issues. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01RnJnjJdFpjW9nJ1BfZGXo1
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Closes #60.
Proofread
src/minmax.typ,src/regions.typ,src/opt.typ,src/mt2.typ(the files included under Part Foxtrot). Found and fixed:src/minmax.typ: "draw in green" → "drawn in green", and "An critical inflection point" → "A critical inflection point", to match the parallel "drawn in ..." bullet list.src/minmax.typ: broken punctuation in the "taking square roots of both sides, That is, ..." tip, joined into one sentence.src/minmax.typ: in the critical-points sample forsrc/regions.typ: stray$placement in "$(1,0)$ andsrc/regions.typ: subject-verb agreement, "the boundary ... are the four sides" → "is the four sides".src/regions.typ: in the 3D regions table, the limit-cases entry forsrc/opt.typ: missing "$g$" in "$ (x,y,z) = x+2y+3z=4$" (the constraint function), should be "$g(x,y,z) = ...$".src/opt.typ: duplicated "The first expression" in a footnote where the second sentence should refer to "the second expression".src/opt.typ: "doesn't like on the constraint" → "doesn't lie on the constraint".src/opt.typ: in theNo large mathematical errors were found beyond the miscounted LM-critical points above;
src/mt2.typ(the practice midterm problem statements) had no issues.Generated by Claude Code